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SageMath
E = EllipticCurve("bs1")
E.isogeny_class()
Elliptic curves in class 11760bs
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11760.q1 | 11760bs1 | \([0, -1, 0, -2344176, 1589952960]\) | \(-1231272543361/230400000\) | \(-266577090025881600000\) | \([]\) | \(524160\) | \(2.6436\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11760bs1 has rank \(1\).
Complex multiplication
The elliptic curves in class 11760bs do not have complex multiplication.Modular form 11760.2.a.bs
sage: E.q_eigenform(10)