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SageMath
E = EllipticCurve("bm1")
E.isogeny_class()
Elliptic curves in class 271950.bm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
271950.bm1 | 271950bm1 | \([1, 1, 0, -2582325, 1655806125]\) | \(-21142304724625/931135488\) | \(-83872043630592000000\) | \([]\) | \(11128320\) | \(2.5881\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 271950.bm1 has rank \(0\).
Complex multiplication
The elliptic curves in class 271950.bm do not have complex multiplication.Modular form 271950.2.a.bm
sage: E.q_eigenform(10)