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SageMath
sage: E = EllipticCurve("k1")
sage: E.isogeny_class()
Elliptic curves in class 424830k
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 424830.k1 | 424830k1 | [1, 1, 0, -49006458, -132079956588] | [] | 45826560 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 424830k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 424830k do not have complex multiplication.Modular form 424830.2.a.k
sage: E.q_eigenform(10)