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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 29575f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
29575.e1 | 29575f1 | \([0, 0, 1, 4225, 68656]\) | \(110592/91\) | \(-6863119046875\) | \([]\) | \(72576\) | \(1.1509\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29575f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 29575f do not have complex multiplication.Modular form 29575.2.a.f
sage: E.q_eigenform(10)