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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 272734.bg
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 272734.bg1 | 272734bg1 | \([1, 0, 1, -1326690951, 1102100611434]\) | \(25286724761962890625/14582131947204448\) | \(148922889713201561960324357728\) | \([]\) | \(278208000\) | \(4.2873\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 272734.bg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 272734.bg do not have complex multiplication.Modular form 272734.2.a.bg
sage: E.q_eigenform(10)