On equations defining fake elliptic curves

Now assume that C is a stable genus two curve of compact type, i.e., it is either smooth or the union of two elliptic curves intersecting in one point.. Com- posing h with

— elliptic curves, torsors, curves of genus one, models, degenerations, dual graphs, rational points.... If K is algebraically closed, then the intersection matrix of the

Two projectively normal models for an elliptic curve of the same degree have equivalent arithmetic up to additions and multiplication by fixed constants if they have the same

In order to pass from a class polynomial to an elliptic curve with known number of points, we require a construction for curves with given j-invariant.. An elliptic curve, however,

lated topics on elliptic curves over a function field, especially some results on the L-function of an elliptic curve over a function field with a finite constant field.. Most of

We give a comprehensive comparison of the competing proposals put forward in the literature for curve shapes and pairing choices for elliptic curves with even embedding degree, for

Wingberg: On the Beilinson Conjectures for Elliptic Curves with Complex Multiplication, in Beilinson’s Conjectures on Special Values of L-Functions, Academic

Dokchitser, “Algebraicity of L-values for elliptic curves in a false Tate curve tower”, Math.. Venjakob, “The GL 2 main conjecture for elliptic curves without complex