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SageMath
E = EllipticCurve("bm1")
E.isogeny_class()
Elliptic curves in class 267200bm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
267200.bm1 | 267200bm1 | \([0, 1, 0, -41712673153, 3279052014245503]\) | \(-1224751130206834971784807336585/61328559574089728\) | \(-401922848024754441420800\) | \([]\) | \(295105536\) | \(4.4515\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 267200bm1 has rank \(0\).
Complex multiplication
The elliptic curves in class 267200bm do not have complex multiplication.Modular form 267200.2.a.bm
sage: E.q_eigenform(10)