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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 372810.bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
372810.bf1 | 372810bf1 | \([1, 0, 1, -1123494, -33607564808]\) | \(-6497434355239801/20210688000000000\) | \(-487836876137472000000000\) | \([]\) | \(59097600\) | \(3.2243\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 372810.bf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 372810.bf do not have complex multiplication.Modular form 372810.2.a.bf
sage: E.q_eigenform(10)