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SageMath
E = EllipticCurve("bm1")
E.isogeny_class()
Elliptic curves in class 57150.bm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
57150.bm1 | 57150bs1 | \([1, -1, 1, -8555, 85947]\) | \(243135625/130048\) | \(37033200000000\) | \([]\) | \(180000\) | \(1.2948\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 57150.bm1 has rank \(0\).
Complex multiplication
The elliptic curves in class 57150.bm do not have complex multiplication.Modular form 57150.2.a.bm
sage: E.q_eigenform(10)