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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 504521.a
sage: E.isogeny_class().curves
| LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
|---|---|---|---|---|---|---|
| 504521.a1 | \([1, 0, 1, -2409, -45697]\) | \(1545165254811529/504521\) | \(504521\) | \([]\) | \(242216\) | \(0.45362\) |
Rank
sage: E.rank()
The elliptic curve 504521.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 504521.a do not have complex multiplication.Modular form 504521.2.a.a
sage: E.q_eigenform(10)