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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 66759.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
66759.f1 | 66759b1 | \([0, -1, 1, 1519755, -3085284346]\) | \(55648414859264/621508960611\) | \(-4335495756630359156451\) | \([]\) | \(2820096\) | \(2.8327\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66759.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 66759.f do not have complex multiplication.Modular form 66759.2.a.f
sage: E.q_eigenform(10)