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On the conductor of an elliptic curve with a rational point of order 2

Published online by Cambridge University Press:  22 January 2016

Toshihiro Hadano
Toshihiro Hadano*
Affiliation:
Nagoya University
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Let C be an elliptic curve (an abelian variety of dimension one) defined over the field Q of rational numbers. A minimal Weierstrass model for C at all primes p in the sense of Néron [3] is given by a plane cubic equation of the form

where aj belongs to the ring Z of integers of Q, the zero of C being the point of infinity.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 53 , May 1974 , pp. 199 - 210
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1974

References

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