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SageMath
sage: E = EllipticCurve("bd1")
sage: E.isogeny_class()
Elliptic curves in class 439569bd
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 439569.bd1 | 439569bd1 | [1, -1, 1, -819344, 282468736] | [] | 4852224 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 439569bd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 439569bd do not have complex multiplication.Modular form 439569.2.a.bd
sage: E.q_eigenform(10)