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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 24563.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
24563.f1 | 24563c1 | \([1, 1, 0, -2, 2413]\) | \(-1/1421\) | \(-2517388181\) | \([]\) | \(9520\) | \(0.48276\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 24563.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 24563.f do not have complex multiplication.Modular form 24563.2.a.f
sage: E.q_eigenform(10)