Show commands for:
SageMath
sage: E = EllipticCurve("r1")
sage: E.isogeny_class()
Elliptic curves in class 424830.r
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 424830.r1 | 424830r1 | [1, 1, 0, -8309053, 9216245053] | [] | 18869760 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 424830.r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 424830.r do not have complex multiplication.Modular form 424830.2.a.r
sage: E.q_eigenform(10)