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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 188760.bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
188760.bf1 | 188760v1 | \([0, -1, 0, -10546400, -13278052500]\) | \(-295505138346242/2574609375\) | \(-1130271507736800000000\) | \([]\) | \(13178880\) | \(2.8642\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 188760.bf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 188760.bf do not have complex multiplication.Modular form 188760.2.a.bf
sage: E.q_eigenform(10)