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On the Torsion of Elliptic Curves Over Quartic Number Fields
Author(s) -
Jeon Daeyeol,
Kim Chang Heon,
Park Euisung
Publication year - 2006
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610706022940
Subject(s) - quartic function , elliptic curve , torsion (gastropod) , supersingular elliptic curve , mathematics , half period ratio , algebraic number field , edwards curve , twists of curves , mathematical analysis , schoof's algorithm , pure mathematics , quarter period , anatomy , medicine
We determine which groups Z/MZ⊕Z/NZ occur infinitely often as torsion groups E ( K ) tors when K varies over all quartic number fields and E varies over all elliptic curves over K .
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