Class information for:
Level 1: ELLIPTIC CURVES//MODULAR CURVES//CONGRUENT NUMBERS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
11070 1010 15.7 36%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
205 3       MATHEMATICS//JOURNAL OF NUMBER THEORY//ACTA ARITHMETICA 52461
376 2             JOURNAL OF NUMBER THEORY//MATHEMATICS//ACTA ARITHMETICA 17147
11070 1                   ELLIPTIC CURVES//MODULAR CURVES//CONGRUENT NUMBERS 1010

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 ELLIPTIC CURVES authKW 842940 18% 15% 185
2 MODULAR CURVES authKW 612620 5% 43% 47
3 CONGRUENT NUMBERS authKW 357998 1% 79% 15
4 CHABAUTY authKW 151157 0% 100% 5
5 TORSION GROUP authKW 150101 1% 41% 12
6 TORSION POINTS authKW 145959 1% 37% 13
7 SELMER GROUPS authKW 144837 2% 22% 22
8 MORDELL WEIL RANK authKW 144036 1% 53% 9
9 MORDELL WEIL GROUP authKW 138068 1% 35% 13
10 CANONICAL HEIGHT authKW 128793 1% 30% 14

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Mathematics 48695 93% 0% 942
2 Mathematics, Applied 1154 14% 0% 146
3 Computer Science, Theory & Methods 25 2% 0% 21
4 Information Science & Library Science -0 0% 0% 2
5 Computer Science, Software Engineering -3 0% 0% 1
6 Computer Science, Information Systems -5 0% 0% 1
7 Engineering, Electrical & Electronic -29 0% 0% 1
8 Materials Science, Multidisciplinary -40 0% 0% 1

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 1414 HURUKAWA CHO OH 30231 0% 100% 1
2 CENTREVILLE STN 30231 0% 100% 1
3 CNRS URA 305 30231 0% 100% 1
4 DESAROLLO HUMANO 30231 0% 100% 1
5 ENS LYON UMPA 30231 0% 100% 1
6 IST ARCHITETTURE DCA 30231 0% 100% 1
7 MATH SEKR 30231 0% 100% 1
8 MATH STAT INFORMAT SCI 30231 0% 100% 1
9 PACIFIC MATH SCI SFU UBC 30231 0% 100% 1
10 UMR 9994 ARITHMET 30231 0% 100% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 ACTA ARITHMETICA 74426 9% 3% 89
2 JOURNAL OF NUMBER THEORY 66907 10% 2% 102
3 PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 49878 6% 3% 61
4 LMS JOURNAL OF COMPUTATION AND MATHEMATICS 26542 1% 6% 15
5 INTERNATIONAL JOURNAL OF NUMBER THEORY 15501 2% 2% 24
6 MATHEMATICS OF COMPUTATION 14693 4% 1% 44
7 COMPOSITIO MATHEMATICA 14244 3% 1% 34
8 EXPERIMENTAL MATHEMATICS 12001 2% 2% 17
9 JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX 11479 1% 4% 9
10 MANUSCRIPTA MATHEMATICA 5793 2% 1% 25

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 ELLIPTIC CURVES 842940 18% 15% 185 Search ELLIPTIC+CURVES Search ELLIPTIC+CURVES
2 MODULAR CURVES 612620 5% 43% 47 Search MODULAR+CURVES Search MODULAR+CURVES
3 CONGRUENT NUMBERS 357998 1% 79% 15 Search CONGRUENT+NUMBERS Search CONGRUENT+NUMBERS
4 CHABAUTY 151157 0% 100% 5 Search CHABAUTY Search CHABAUTY
5 TORSION GROUP 150101 1% 41% 12 Search TORSION+GROUP Search TORSION+GROUP
6 TORSION POINTS 145959 1% 37% 13 Search TORSION+POINTS Search TORSION+POINTS
7 SELMER GROUPS 144837 2% 22% 22 Search SELMER+GROUPS Search SELMER+GROUPS
8 MORDELL WEIL RANK 144036 1% 53% 9 Search MORDELL+WEIL+RANK Search MORDELL+WEIL+RANK
9 MORDELL WEIL GROUP 138068 1% 35% 13 Search MORDELL+WEIL+GROUP Search MORDELL+WEIL+GROUP
10 CANONICAL HEIGHT 128793 1% 30% 14 Search CANONICAL+HEIGHT Search CANONICAL+HEIGHT

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 NAJMAN, F , (2016) TORSION OF RATIONAL ELLIPTIC CURVES OVER CUBIC FIELDS AND SPORADIC POINTS ON X-1(N).MATHEMATICAL RESEARCH LETTERS. VOL. 23. ISSUE 1. P. 245 -272 25 96% 5
2 SIKSEK, S , (2009) CHABAUTY FOR SYMMETRIC POWERS OF CURVES.ALGEBRA & NUMBER THEORY. VOL. 3. ISSUE 2. P. 209-236 35 92% 1
3 SIKSEK, S , (2013) EXPLICIT CHABAUTY OVER NUMBER FIELDS.ALGEBRA & NUMBER THEORY. VOL. 7. ISSUE 4. P. 765-793 34 76% 2
4 STOLL, M , (2011) RATIONAL POINTS ON CURVES.JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX. VOL. 23. ISSUE 1. P. 257-277 27 77% 6
5 PLATONOV, VP , (2014) NUMBER-THEORETIC PROPERTIES OF HYPERELLIPTIC FIELDS AND THE TORSION PROBLEM IN JACOBIANS OF HYPERELLIPTIC CURVES OVER THE RATIONAL NUMBER FIELD.RUSSIAN MATHEMATICAL SURVEYS. VOL. 69. ISSUE 1. P. 1 -34 18 100% 1
6 JEON, D , KIM, CH , LEE, Y , (2015) FAMILIES OF ELLIPTIC CURVES WITH PRESCRIBED TORSION SUBGROUPS OVER DIHEDRAL QUARTIC FIELDS.JOURNAL OF NUMBER THEORY. VOL. 147. ISSUE . P. 342 -363 18 95% 0
7 LOZANO-ROBLEDO, A , (2013) ON THE FIELD OF DEFINITION OF P-TORSION POINTS ON ELLIPTIC CURVES OVER THE RATIONALS.MATHEMATISCHE ANNALEN. VOL. 357. ISSUE 1. P. 279-305 17 100% 5
8 BRUIN, P , NAJMAN, F , (2015) HYPERELLIPTIC MODULAR CURVES X-0(N) AND ISOGENIES OF ELLIPTIC CURVES OVER QUADRATIC FIELDS.LMS JOURNAL OF COMPUTATION AND MATHEMATICS. VOL. 18. ISSUE 1. P. 578 -602 16 100% 0
9 XIONG, MS , ZAHARESCU, A , (2009) SELMER GROUPS AND TATE-SHAFAREVICH GROUPS FOR THE CONGRUENT NUMBER PROBLEM.COMMENTARII MATHEMATICI HELVETICI. VOL. 84. ISSUE 1. P. 21-56 22 79% 2
10 POONEN, B , (1996) COMPUTATIONAL ASPECTS OF CURVES OF GENUS AT LEAST 2.ALGORITHMIC NUMBER THEORY. VOL. 1122. ISSUE . P. 283 -306 35 70% 23

Classes with closest relation at Level 1


Rank Class id link
1 3191 GALOIS REPRESENTATIONS//SELMER GROUPS//IWASAWA THEORY
2 33461 GROTHENDIECKS PAIRING//NERON MODELS//DIFFERENTS
3 23111 ABELIAN VARIETIES//HODGE CONJECTURE//STANDARD CONJECTURE OF LEFSCHETZ TYPE
4 4357 ARITHMETIC DYNAMICS//ANDRE OORT CONJECTURE//ACTA ARITHMETICA
5 5025 EXPONENTIAL DIOPHANTINE EQUATION//DIOPHANTINE EQUATIONS//LINEAR FORMS IN LOGARITHMS
6 34546 POLYNOMIAL KNOTS//CHEBYSHEV CURVES//LISSAJOUS KNOTS
7 22938 SIGMA FUNCTION//ELLIPTIC SOLITONS//ABELIAN FUNCTIONS
8 17132 PREHOMOGENEOUS VECTOR SPACES//CLASS GROUP//QUADRATIC FUNCTION FIELD
9 29968 SCATTERED SUBWORD//PARIKH MATRIX//SUBWORD
10 22206 THEORIE NOMB ALGORITHM ARITHMET//14G17//ARTIN SCHREIER COVERS

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