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SageMath
E = EllipticCurve("fc1")
E.isogeny_class()
Elliptic curves in class 424830.fc
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 424830.fc1 | 424830fc1 | \([1, 1, 1, -510091, -142079911]\) | \(-105484561/1440\) | \(-200373525948627360\) | \([]\) | \(8279040\) | \(2.1268\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 424830.fc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 424830.fc do not have complex multiplication.Modular form 424830.2.a.fc
sage: E.q_eigenform(10)