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SageMath
E = EllipticCurve("fc1")
E.isogeny_class()
Elliptic curves in class 426888.fc
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 426888.fc1 | 426888fc1 | \([0, 0, 0, -13891647, 21599032763]\) | \(-91625216/9261\) | \(-29965932829488662311536\) | \([]\) | \(29196288\) | \(3.0529\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 426888.fc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 426888.fc do not have complex multiplication.Modular form 426888.2.a.fc
sage: E.q_eigenform(10)