Courbes elliptiques sur ℚ, ayant un point d’ordre 2 rationnel sur ℚ, de conducteur 2 N p

Wilfrid Ivorra

  • 2004

Abstract

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Let p be a prime number ≥ 29 and N be a positive integer. In this paper, we are interested in the problem of the determination, up to ℚ-isomorphism, of all the elliptic curves over ℚ whose conductor is 2 N p , with at least one rational point of order 2 over ℚ. This problem was studied in 1974 by B. Setzer in case N = 0. Consequently, in this work we are concerned with the case N ≥ 1. The results presented here are analogous to those obtained by B. Setzer and allow one in practice to find a complete list of such curves.

How to cite

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Wilfrid Ivorra. Courbes elliptiques sur ℚ, ayant un point d’ordre 2 rationnel sur ℚ, de conducteur $2^{N}p$. 2004. <http://eudml.org/doc/286037>.

@book{WilfridIvorra2004,
author = {Wilfrid Ivorra},
language = {fre},
title = {Courbes elliptiques sur ℚ, ayant un point d’ordre 2 rationnel sur ℚ, de conducteur $2^\{N\}p$},
url = {http://eudml.org/doc/286037},
year = {2004},
}

TY - BOOK
AU - Wilfrid Ivorra
TI - Courbes elliptiques sur ℚ, ayant un point d’ordre 2 rationnel sur ℚ, de conducteur $2^{N}p$
PY - 2004
LA - fre
UR - http://eudml.org/doc/286037
ER -

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