forell

Function: forell
Section: programming/control
C-Name: forell0
Prototype: vVLLID0,L,
Help: forell(E,a,b,seq,{flag=0}): execute seq for each elliptic curves E of
 conductor between a and b in the elldata database. If flag is nonzero, select
 only the first curve in each isogeny class.
Wrapper: (,,,vG,)
Description:
 (,small,small,closure,?small):void forell(${4 cookie}, ${4 wrapper}, $2, $3, $5)
Doc: evaluates \var{seq}, where the formal variable $E = [\var{name}, M, G]$
 ranges through all elliptic curves of conductors from $a$ to $b$. In this
 notation \var{name} 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
 Mordell-Weil group $E(\Q)$. If flag is nonzero, select
 only the first curve in each isogeny class.
 \bprog
 ? forell(E, 1, 500, my([name,M,G] = E); \
     if (#G > 1, print(name)))
 389a1
 433a1
 446d1
 ? c = 0; forell(E, 1, 500, c++); c   \\ number of curves
 %2 = 2214
 ? c = 0; forell(E, 1, 500, c++, 1); c \\ number of isogeny classes
 %3 = 971
 @eprog\noindent
 The \tet{elldata} database must be installed and contain data for the
 specified conductors.

 \synt{forell}{void *data, long (*f)(void*,GEN), long a, long b, long flag}.