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SageMath
E = EllipticCurve("bm1")
E.isogeny_class()
Elliptic curves in class 150075bm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
150075.bl1 | 150075bm1 | \([0, 0, 1, -3675, 27531]\) | \(481890304/250125\) | \(2849080078125\) | \([]\) | \(276480\) | \(1.0818\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 150075bm1 has rank \(1\).
Complex multiplication
The elliptic curves in class 150075bm do not have complex multiplication.Modular form 150075.2.a.bm
sage: E.q_eigenform(10)