High rank elliptic curves with torsion Z/2Z × Z/4Z induced by Diophantine triples (CROSBI ID 210181)
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Podaci o odgovornosti
Dujella, Andrej ; Peral, Juan Carlos
engleski
High rank elliptic curves with torsion Z/2Z × Z/4Z induced by Diophantine triples
We construct an elliptic curve over the field of rational functions with torsion group Z/2Z × Z/4Z and rank equal to four, and an elliptic curve over Q with the same torsion group and rank nine. Both results improve previous records for ranks of curves of this torsion group. They are obtained by considering elliptic curves induced by Diophantine triples.
elliptic curves; diophantine triples; rank; torsion group
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Podaci o izdanju
17 (1)
2014.
282-288
objavljeno
1461-1570
10.1112/S1461157014000023