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SageMath
E = EllipticCurve("bs1")
E.isogeny_class()
Elliptic curves in class 257600bs
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
257600.bs1 | 257600bs1 | \([0, -1, 0, -18033, 1842937]\) | \(-40535147776/67648175\) | \(-1082370800000000\) | \([]\) | \(737280\) | \(1.5756\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 257600bs1 has rank \(1\).
Complex multiplication
The elliptic curves in class 257600bs do not have complex multiplication.Modular form 257600.2.a.bs
sage: E.q_eigenform(10)