Submitted by 
Gerrit Oomens 
Date 
01011900 
Reference 
Gerard van der Geer, Marcel van der Vlugt How to construct curves over finite fields with many points In: Arithmetic Geometry, (Cortona 1994), F. Catanese Ed., Cambridge Univ. Press, Cambridge, 1997, p. 169189.

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Tags 
Elliptic modular curves 
User comments
Explicit Curve

S.E.Fischer
12192014 18:42

We can assume such a curve C as an extension E of degree 4 of a maximal curve F of genus 1 as follows:
F := y^3 + x^3 + 1 ;
E/F := z^4 + z + x*y .


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