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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 505763.b
sage: E.isogeny_class().curves
| LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
|---|---|---|---|---|---|---|
| 505763.b1 | \([0, 1, 1, -19, -54]\) | \(-799178752/505763\) | \(-505763\) | \([]\) | \(44209\) | \(-0.20402\) |
Rank
sage: E.rank()
The elliptic curve 505763.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 505763.b do not have complex multiplication.Modular form 505763.2.a.b
sage: E.q_eigenform(10)