Some remarks on a theorem of Parent and generalizing Ogg's conjecture
We carry out an Eisenstein prime descent to prove the finiteness of the Mordell-Weil group of the Eisenstein quotients of J1(p) for certain values of p that are relevant to torsion in elliptic curves over cubic fields. We then use this to recover some results of Parent. Our methods suggest a possibl...
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| Veröffentlicht in: | Mathematical proceedings of the Cambridge Philosophical Society 2009-09, Vol.147 (2), p.285-293 |
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| container_title | Mathematical proceedings of the Cambridge Philosophical Society |
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| creator | KAMIENNY, S. |
| description | We carry out an Eisenstein prime descent to prove the finiteness of the Mordell-Weil group of the Eisenstein quotients of J1(p) for certain values of p that are relevant to torsion in elliptic curves over cubic fields. We then use this to recover some results of Parent. Our methods suggest a possible generalization of Ogg's conjecture for torsion in elliptic curves over number fields. |
| doi_str_mv | 10.1017/S0305004109002485 |
| format | Article |
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| ispartof | Mathematical proceedings of the Cambridge Philosophical Society, 2009-09, Vol.147 (2), p.285-293 |
| issn | 0305-0041 1469-8064 |
| language | eng |
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| source | Cambridge University Press Journals Complete |
| subjects | Mathematics Theorems |
| title | Some remarks on a theorem of Parent and generalizing Ogg's conjecture |
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