Function: ellmoddegree
Section: elliptic_curves
C-Name: ellmoddegree
Prototype: G
Help: ellmoddegree(e): e being an elliptic curve defined over Q output by
 ellinit, compute the modular degree of e divided by the square of the
 Manin constant.
Doc: $e$ being an elliptic curve defined over $\Q$ output by \kbd{ellinit},
 compute the modular degree of $e$ divided by the square of
 the Manin constant $m$, which can be computed with \kbd{ellmaninconstant}.
 In the vast majority of case, $m=1$.
 \bprog
 ? E = ellinit("11a1");
 ? d = ellmoddegree(E); m = ellmaninconstant(E); [d,m,d*m^2]
 %2 = [1,1,1]
 ? E = ellinit("11a2");
 ? d = ellmoddegree(E); m = ellmaninconstant(E); [d,m,d*m^2]
 %4 = [5,1,5]
 ? E = ellinit("11a3");
 ? d = ellmoddegree(E); m = ellmaninconstant(E); [d,m,d*m^2]
 %6 = [1/5,5,5]
 @eprog
 (\kbd{11a3} is the only known curve with Manin constant $\geq 5$).
