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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 7400.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7400.f1 | 7400h1 | \([0, 1, 0, -233, 1163]\) | \(351232/37\) | \(148000000\) | \([]\) | \(2048\) | \(0.30248\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7400.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7400.f do not have complex multiplication.Modular form 7400.2.a.f
sage: E.q_eigenform(10)