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SageMath
E = EllipticCurve("bs1")
E.isogeny_class()
Elliptic curves in class 405600.bs
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 405600.bs1 | 405600bs1 | \([0, -1, 0, 754867, 922325637]\) | \(153990656/1279395\) | \(-395225299235520000000\) | \([]\) | \(13934592\) | \(2.6335\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 405600.bs1 has rank \(0\).
Complex multiplication
The elliptic curves in class 405600.bs do not have complex multiplication.Modular form 405600.2.a.bs
sage: E.q_eigenform(10)