Show commands:
SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 85176.bb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 85176.bb1 | 85176l1 | \([0, 0, 0, -22035, -1258738]\) | \(4689415250/1029\) | \(259632801792\) | \([]\) | \(119808\) | \(1.1840\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 85176.bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 85176.bb do not have complex multiplication.Modular form 85176.2.a.bb
sage: E.q_eigenform(10)