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SageMath
E = EllipticCurve("bm1")
E.isogeny_class()
Elliptic curves in class 180336bm
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 180336.ba1 | 180336bm1 | \([0, -1, 0, -157047320, -122689450512]\) | \(51875959429369/29232640476\) | \(241388850764327124884373504\) | \([]\) | \(47589120\) | \(3.7524\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 180336bm1 has rank \(0\).
Complex multiplication
The elliptic curves in class 180336bm do not have complex multiplication.Modular form 180336.2.a.bm
sage: E.q_eigenform(10)