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SageMath
E = EllipticCurve("bm1")
E.isogeny_class()
Elliptic curves in class 60690.bm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
60690.bm1 | 60690bs1 | \([1, 1, 1, -26305, 1849025]\) | \(-288568081/47250\) | \(-329604539087250\) | \([]\) | \(330480\) | \(1.5132\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 60690.bm1 has rank \(0\).
Complex multiplication
The elliptic curves in class 60690.bm do not have complex multiplication.Modular form 60690.2.a.bm
sage: E.q_eigenform(10)