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

Basic class information
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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
368 3       JOURNAL OF NUMBER THEORY//MATHEMATICS//ACTA ARITHMETICA 35230
322 2             MATHEMATICS//JOURNAL OF NUMBER THEORY//ACTA ARITHMETICA 18548
9935 1                   ELLIPTIC CURVES//CONGRUENT NUMBERS//MODULAR CURVES 1139

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ELLIPTIC CURVES authKW 1040448 19% 17% 219
2 CONGRUENT NUMBERS authKW 426888 2% 86% 18
3 MODULAR CURVES authKW 415230 4% 37% 41
4 QUADRATIC TWIST authKW 344787 2% 69% 18
5 SELMER GROUPS authKW 192062 2% 26% 27
6 SHAFAREVICH TATE GROUP authKW 181095 1% 55% 12
7 MORDELL WEIL GROUP authKW 168240 1% 41% 15
8 TORSION GROUP authKW 159487 1% 41% 14
9 CANONICAL HEIGHT authKW 153963 1% 35% 16
10 CHABAUTY authKW 138345 0% 100% 5

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 55336 94% 0% 1069
2 Mathematics, Applied 1323 15% 0% 166
3 Computer Science, Theory & Methods 17 2% 0% 20
4 Information Science & Library Science -0 0% 0% 2
5 Psychology -4 0% 0% 1
6 Psychology, Clinical -4 0% 0% 1
7 Computer Science, Software Engineering -4 0% 0% 1
8 Computer Science, Information Systems -6 0% 0% 1
9 Psychiatry -12 0% 0% 1
10 Clinical Neurology -16 0% 0% 2

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 CHEM ENGIN TECHN 83007 0% 100% 3
2 MATHEQUIPE THEORIE NOMB 55338 0% 100% 2
3 DPMMS 31869 2% 6% 18
4 1414 HURUKAWA CHO OH 27669 0% 100% 1
5 CNRS URA 305 27669 0% 100% 1
6 DESAROLLO HUMANO 27669 0% 100% 1
7 EQUIPE GEOMETRIE ALGEBRIQUE 27669 0% 100% 1
8 IST ARCHITETTURE DCA 27669 0% 100% 1
9 MATH SEKR 27669 0% 100% 1
10 MATH STAT INFORMAT SCI 27669 0% 100% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF NUMBER THEORY 86231 11% 3% 123
2 ACTA ARITHMETICA 84369 9% 3% 100
3 PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 43822 5% 3% 60
4 LMS JOURNAL OF COMPUTATION AND MATHEMATICS 24009 1% 6% 15
5 INTERNATIONAL JOURNAL OF NUMBER THEORY 21575 3% 3% 31
6 COMPOSITIO MATHEMATICA 16697 3% 2% 39
7 GLASNIK MATEMATICKI 14207 1% 4% 12
8 MATHEMATICS OF COMPUTATION 13766 4% 1% 45
9 JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX 11462 1% 4% 10
10 EXPERIMENTAL MATHEMATICS 9338 1% 2% 16

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 ELLIPTIC CURVES 1040448 19% 17% 219 Search ELLIPTIC+CURVES Search ELLIPTIC+CURVES
2 CONGRUENT NUMBERS 426888 2% 86% 18 Search CONGRUENT+NUMBERS Search CONGRUENT+NUMBERS
3 MODULAR CURVES 415230 4% 37% 41 Search MODULAR+CURVES Search MODULAR+CURVES
4 QUADRATIC TWIST 344787 2% 69% 18 Search QUADRATIC+TWIST Search QUADRATIC+TWIST
5 SELMER GROUPS 192062 2% 26% 27 Search SELMER+GROUPS Search SELMER+GROUPS
6 SHAFAREVICH TATE GROUP 181095 1% 55% 12 Search SHAFAREVICH+TATE+GROUP Search SHAFAREVICH+TATE+GROUP
7 MORDELL WEIL GROUP 168240 1% 41% 15 Search MORDELL+WEIL+GROUP Search MORDELL+WEIL+GROUP
8 TORSION GROUP 159487 1% 41% 14 Search TORSION+GROUP Search TORSION+GROUP
9 CANONICAL HEIGHT 153963 1% 35% 16 Search CANONICAL+HEIGHT Search CANONICAL+HEIGHT
10 CHABAUTY 138345 0% 100% 5 Search CHABAUTY Search CHABAUTY

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.

Classes with closest relation at Level 1


rank cluster_id2 link
1 22540 ABELIAN VARIETIES//HODGE CONJECTURE//STANDARD CONJECTURE OF LEFSCHETZ TYPE
2 1867 GALOIS REPRESENTATIONS//SELMER GROUPS//IWASAWA THEORY
3 11606 ARITHMETIC DYNAMICS//ANDRE OORT CONJECTURE//ZILBER PINK CONJECTURE
4 2560 EXPONENTIAL DIOPHANTINE EQUATION//DIOPHANTINE EQUATIONS//LINEAR FORMS IN LOGARITHMS
5 37370 FIRST FACTOR CLASS NUMBER//KUMMER SYSTEM OF CONGRUENCES//CATALAN CURVE
6 20654 ARTINS CONJECTURE//CHEBOTAREV DENSITY THEOREM//BARBAN DAVENPORT HALBERSTAM THEOREM
7 17879 PREHOMOGENEOUS VECTOR SPACES//COHEN LENSTRA HEURISTICS//CLASS NUMBER
8 25484 HILBERTS TENTH PROBLEM//DIOPHANTINE DEFINITION//BUCHIS PROBLEM
9 11298 K3 SURFACE//ELLIPTIC SURFACES//ZARISKI PAIR
10 16520 CONSTRUCTIVE RECOGNITION//BLACK BOX GROUPS//MATRIX GROUP RECOGNITION

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