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SageMath
E = EllipticCurve("bm1")
E.isogeny_class()
Elliptic curves in class 327990.bm
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 327990.bm1 | 327990bm1 | \([1, 0, 0, -18775496161, -753241578520759]\) | \(1739874810731935427689/424271925913680000\) | \(178494268118092166078652649680000\) | \([]\) | \(1114713600\) | \(4.8992\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 327990.bm1 has rank \(0\).
Complex multiplication
The elliptic curves in class 327990.bm do not have complex multiplication.Modular form 327990.2.a.bm
sage: E.q_eigenform(10)