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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 2400.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2400.f1 | 2400b1 | \([0, -1, 0, -13, 37]\) | \(-2560/3\) | \(-307200\) | \([]\) | \(192\) | \(-0.25303\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2400.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2400.f do not have complex multiplication.Modular form 2400.2.a.f
sage: E.q_eigenform(10)