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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 6760f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 6760.h1 | 6760f1 | \([0, -1, 0, -9520, 16925]\) | \(43264/25\) | \(55143396739600\) | \([]\) | \(14976\) | \(1.3262\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6760f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 6760f do not have complex multiplication.Modular form 6760.2.a.f
sage: E.q_eigenform(10)