We describe an algorithm for determining elliptic curves defined over a given number field with a given set of primes of bad reduction. Examples are given over Q and over various quadratic fields
Abstract. We consider the question of which quadratic fields have elliptic curves with ev-erywhere g...
International audienceWe present a fast algorithm for building ordinary elliptic curves over finite ...
We present a fast algorithm for building ordinary elliptic curves over finite prime fields having ar...
A list is given of elliptic curves over Q having additive reduction at exactly one prime. It is also...
ABSTRACT. A list is given of elliptic curves over Q having additive reduction at exactly one prime. ...
AbstractWe show that there is no elliptic curve defined over the field of rational numbers that atta...
We prove the existence and nonexistence of elliptic curves having good reduction everywhere over cer...
We use two methods to search for curves for the elliptic curve cryptosystem. The first method involv...
A list is given of elliptic curves over Q having additive reduction at exactly one prime. It is also...
A list is given of elliptic curves over Q having additive reduction at exactly one prime. It is also...
A list is given of elliptic curves over Q having additive reduction at exactly one prime. It is also...
A list is given of elliptic curves over Q having additive reduction at exactly one prime. It is also...
A list is given of elliptic curves over Q having additive reduction at exactly one prime. It is also...
This is a summary of our previous work on relation between torsion points and bad reduction primes o...
The authors prove that if K=Q(\u3b1) , where \u3b1 is the real cube root of 2, then there are no el...
Abstract. We consider the question of which quadratic fields have elliptic curves with ev-erywhere g...
International audienceWe present a fast algorithm for building ordinary elliptic curves over finite ...
We present a fast algorithm for building ordinary elliptic curves over finite prime fields having ar...
A list is given of elliptic curves over Q having additive reduction at exactly one prime. It is also...
ABSTRACT. A list is given of elliptic curves over Q having additive reduction at exactly one prime. ...
AbstractWe show that there is no elliptic curve defined over the field of rational numbers that atta...
We prove the existence and nonexistence of elliptic curves having good reduction everywhere over cer...
We use two methods to search for curves for the elliptic curve cryptosystem. The first method involv...
A list is given of elliptic curves over Q having additive reduction at exactly one prime. It is also...
A list is given of elliptic curves over Q having additive reduction at exactly one prime. It is also...
A list is given of elliptic curves over Q having additive reduction at exactly one prime. It is also...
A list is given of elliptic curves over Q having additive reduction at exactly one prime. It is also...
A list is given of elliptic curves over Q having additive reduction at exactly one prime. It is also...
This is a summary of our previous work on relation between torsion points and bad reduction primes o...
The authors prove that if K=Q(\u3b1) , where \u3b1 is the real cube root of 2, then there are no el...
Abstract. We consider the question of which quadratic fields have elliptic curves with ev-erywhere g...
International audienceWe present a fast algorithm for building ordinary elliptic curves over finite ...
We present a fast algorithm for building ordinary elliptic curves over finite prime fields having ar...
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