158
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ANTS
2008
Springer
15 years 9 months ago
2008
Springer
Abstract. We further analyze the solutions to the Diophantine equations from which prime-order elliptic curves of embedding degrees k = 3, 4 or 6 (MNT curves) may be obtained. We g...
170
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ANTS
2008
Springer
15 years 9 months ago
2008
Springer
We enumerate all totally real number fields F with root discriminant F 14. There are 1229 such fields, each with degree [F : Q] 9. In this article, we consider the following prob...
141
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ANTS
2008
Springer
15 years 9 months ago
2008
Springer
We present an algorithm that, on input of a CM-field K, an integer k 1, and a prime r 1 mod k, constructs a q-Weil number OK corresponding to an ordinary, simple abelian variety ...
159
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ANTS
2008
Springer
15 years 9 months ago
2008
Springer
Let K be a p-adic local field and E an elliptic curve defined over K. The component group of E is the group E(K)/E0(K), where E0(K) denotes the subgroup of points of good reduction...