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SageMath
E = EllipticCurve("bm1")
E.isogeny_class()
Elliptic curves in class 11550.bm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11550.bm1 | 11550bw1 | \([1, 1, 1, 36487, -30598969]\) | \(13752365416655/1044457193472\) | \(-407991091200000000\) | \([]\) | \(165600\) | \(2.0587\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11550.bm1 has rank \(1\).
Complex multiplication
The elliptic curves in class 11550.bm do not have complex multiplication.Modular form 11550.2.a.bm
sage: E.q_eigenform(10)