Is any possibility to find on MAGMA of integral points on elliptic curve
such type where coefficient by x^3 isn't equal 1 e.q.:
A<x,y> := AffineSpace(Rationals(),2);
C := Curve(y^2-4*x^3+7*x+3);
IntegralPoints(C);
When I execute e.g.
IntegralQuarticPoints([0, 4, 0, -7, -3]);
output of Magma is:
)
In file "/magma/package/Geometry/CrvEll/sintpointsG1.m", line 282,
column 36:
return SIntegralQuarticPoints(Q,[]);
^
Runtime error in 'SIntegralQuarticPoints': Argument 1 must define a
nonsingular
elliptic curve.
integer point on this elliptic curve is y=15, x=4
Any possibility to find them by MAGMA ?
Best regards
Artur Jasiński, POLAND
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