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SageMath
E = EllipticCurve("bs1")
E.isogeny_class()
Elliptic curves in class 9360.bs
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9360.bs1 | 9360bc1 | \([0, 0, 0, 48, 796]\) | \(1769472/40625\) | \(-280800000\) | \([]\) | \(1920\) | \(0.30134\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9360.bs1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9360.bs do not have complex multiplication.Modular form 9360.2.a.bs
sage: E.q_eigenform(10)