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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 505763.a
sage: E.isogeny_class().curves
LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
---|---|---|---|---|---|---|
505763.a1 | \([0, -1, 1, -1569, -23406]\) | \(-427434241687552/505763\) | \(-505763\) | \([]\) | \(125475\) | \(0.37691\) |
Rank
sage: E.rank()
The elliptic curve 505763.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 505763.a do not have complex multiplication.Modular form 505763.2.a.a
sage: E.q_eigenform(10)