Show commands:
SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 418950.bb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 418950.bb1 | 418950bb1 | \([1, -1, 0, -113728617, -22650481521459]\) | \(-404478107789/550829555712\) | \(-221541556436909162496000000000\) | \([]\) | \(512870400\) | \(4.3099\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 418950.bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 418950.bb do not have complex multiplication.Modular form 418950.2.a.bb
sage: E.q_eigenform(10)