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SageMath
E = EllipticCurve("bp1")
E.isogeny_class()
Elliptic curves in class 58800.bp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58800.bp1 | 58800h1 | \([0, -1, 0, -212088, -37464048]\) | \(3574536770/6561\) | \(1936530399283200\) | \([]\) | \(322560\) | \(1.8246\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58800.bp1 has rank \(1\).
Complex multiplication
The elliptic curves in class 58800.bp do not have complex multiplication.Modular form 58800.2.a.bp
sage: E.q_eigenform(10)