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SageMath
E = EllipticCurve("bm1")
E.isogeny_class()
Elliptic curves in class 385434bm
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 385434.bm1 | 385434bm1 | \([1, -1, 0, 287523, -70365947]\) | \(30649603997375/42625916928\) | \(-3655859548982796288\) | \([]\) | \(6389760\) | \(2.2476\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 385434bm1 has rank \(0\).
Complex multiplication
The elliptic curves in class 385434bm do not have complex multiplication.Modular form 385434.2.a.bm
sage: E.q_eigenform(10)