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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 508032.f
sage: E.isogeny_class().curves
| LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
|---|---|---|---|---|---|---|
| 508032.f1 | \([0, 0, 0, 2646, -37044]\) | \(1152\) | \(-1778446285056\) | \([]\) | \(829440\) | \(1.0381\) |
Rank
sage: E.rank()
The elliptic curve 508032.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 508032.f do not have complex multiplication.Modular form 508032.2.a.f
sage: E.q_eigenform(10)