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SageMath
E = EllipticCurve("bs1")
E.isogeny_class()
Elliptic curves in class 418950.bs
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 418950.bs1 | 418950bs1 | \([1, -1, 0, 14695308, 17377227216]\) | \(628805222251722551/597713542447104\) | \(-333608210152390656000000\) | \([]\) | \(63221760\) | \(3.2008\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 418950.bs1 has rank \(0\).
Complex multiplication
The elliptic curves in class 418950.bs do not have complex multiplication.Modular form 418950.2.a.bs
sage: E.q_eigenform(10)