ellidentify

Function: ellidentify
Section: elliptic_curves
C-Name: ellidentify
Prototype: G
Help: ellidentify(E): look up the elliptic curve E in the elldata database and
 return [[N, M, ...], C] where N is the name of the curve in Cremona's
 database, M the minimal model and C the change of coordinates (see
 ellchangecurve).
Doc: look up the elliptic curve $E$, defined by an arbitrary model over $\Q$,
 in the \tet{elldata} database.
 Return \kbd{[[N, M, G], C]}  where $N$ is the curve name in Cremona's
 elliptic curve database, $M$ is the minimal model, $G$ is a $\Z$-basis of
 the free part of the \idx{Mordell-Weil group} $E(\Q)$ and $C$ is the
 change of coordinates from $E$ to $M$, suitable for \kbd{ellchangecurve}.