mffromell

Function: mffromell
Section: modular_forms
C-Name: mffromell
Prototype: G
Help: mffromell(E): E being an elliptic curve defined over Q given by an
 integral model in ellinit format, computes a 3-component vector [mf,F,v],
 where F is the newform corresponding to E by modularity, mf is the
 newspace to which F belongs, and v gives the coefficients of F on
 mfbasis(mf).
Doc: $E$ being an elliptic curve defined over $Q$ given by an
 integral model in \kbd{ellinit} format, computes a 3-component vector
 \kbd{[mf,F,v]}, where $F$ is the newform corresponding to $E$ by
 modularity, \kbd{mf} is the newspace to which $F$ belongs, and
 \kbd{v} gives the coefficients of $F$ on \kbd{mfbasis(mf)}.
 \bprog
 ? E = ellinit("26a1");
 ? [mf,F,co] = mffromell(E);
 ? co
 %2 = [3/4, 1/4]~
 ?  mfcoefs(F, 5)
 %3 = [0, 1, -1, 1, 1, -3]
 ? ellan(E, 5)
 %4 = [1, -1, 1, 1, -3]
 @eprog