Show commands for:
SageMath
sage: E = EllipticCurve("786.b1")
sage: E.isogeny_class()
Elliptic curves in class 786.b
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 786.b1 | 786d1 | [1, 1, 0, -3418, -78356] | [] | 504 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 786.b1 has rank \(0\).
Modular form 786.2.a.b
sage: E.q_eigenform(10)