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SageMath
sage: E = EllipticCurve("m1")
sage: E.isogeny_class()
Elliptic curves in class 439569m
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 439569.m1 | 439569m1 | [1, -1, 1, -155681, -51569228] | [] | 5728320 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 439569m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 439569m do not have complex multiplication.Modular form 439569.2.a.m
sage: E.q_eigenform(10)