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SageMath
sage: E = EllipticCurve("x1")
sage: E.isogeny_class()
Elliptic curves in class 439569x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 439569.x1 | 439569x1 | [1, -1, 1, -2646572, 728909952] | [] | 13160448 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 439569x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 439569x do not have complex multiplication.Modular form 439569.2.a.x
sage: E.q_eigenform(10)