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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 485100f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 485100.f1 | 485100f1 | \([0, 0, 0, 11113200, -7033729500]\) | \(47775744/34375\) | \(-109213506404887500000000\) | \([]\) | \(38707200\) | \(3.1090\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 485100f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 485100f do not have complex multiplication.Modular form 485100.2.a.f
sage: E.q_eigenform(10)