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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 155526.bg
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 155526.bg1 | 155526ch1 | \([1, 0, 1, 15487257, -27529935926]\) | \(68769820673/94610592\) | \(-565183059692374820190816\) | \([]\) | \(17740800\) | \(3.2433\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 155526.bg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 155526.bg do not have complex multiplication.Modular form 155526.2.a.bg
sage: E.q_eigenform(10)