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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 301180f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 301180.f1 | 301180f1 | \([0, 1, 0, 5279, -52196]\) | \(742630866944/487179275\) | \(-10671174839600\) | \([]\) | \(447552\) | \(1.1887\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 301180f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 301180f do not have complex multiplication.Modular form 301180.2.a.f
sage: E.q_eigenform(10)