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SageMath
sage: E = EllipticCurve("ci1")
sage: E.isogeny_class()
Elliptic curves in class 15680ci
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 15680.be1 | 15680ci1 | [0, -1, 0, -3201, -467039] | [] | 32256 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15680ci1 has rank \(1\).
Complex multiplication
The elliptic curves in class 15680ci do not have complex multiplication.Modular form 15680.2.a.ci
sage: E.q_eigenform(10)