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SageMath
E = EllipticCurve("bs1")
E.isogeny_class()
Elliptic curves in class 11760.bs
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11760.bs1 | 11760cf1 | \([0, 1, 0, -576, -5580]\) | \(-105484561/1440\) | \(-289013760\) | \([]\) | \(5760\) | \(0.43036\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11760.bs1 has rank \(0\).
Complex multiplication
The elliptic curves in class 11760.bs do not have complex multiplication.Modular form 11760.2.a.bs
sage: E.q_eigenform(10)