Show commands for:
SageMath
sage: E = EllipticCurve("a1")
sage: E.isogeny_class()
Elliptic curves in class 29400.a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 29400.a1 | 29400cz1 | [0, -1, 0, -233, 3837] | [] | 18432 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29400.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 29400.a do not have complex multiplication.Modular form 29400.2.a.a
sage: E.q_eigenform(10)