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SageMath
E = EllipticCurve("bm1")
E.isogeny_class()
Elliptic curves in class 124545.bm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
124545.bm1 | 124545r1 | \([0, -1, 1, -36220, -3003537]\) | \(-111701610496/18862875\) | \(-887420572567875\) | \([]\) | \(1368576\) | \(1.5950\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 124545.bm1 has rank \(1\).
Complex multiplication
The elliptic curves in class 124545.bm do not have complex multiplication.Modular form 124545.2.a.bm
sage: E.q_eigenform(10)