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SageMath
sage: E = EllipticCurve("b1")
sage: E.isogeny_class()
Elliptic curves in class 439569b
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 439569.b1 | 439569b1 | [0, 0, 1, -11271, -1836234] | [] | 3483648 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 439569b1 has rank \(2\).
Complex multiplication
The elliptic curves in class 439569b do not have complex multiplication.Modular form 439569.2.a.b
sage: E.q_eigenform(10)