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SageMath
sage: E = EllipticCurve("co1")
sage: E.isogeny_class()
Elliptic curves in class 94640co
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 94640.c1 | 94640co1 | [0, 0, 0, 5408, -465764] | [] | 538560 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 94640co1 has rank \(1\).
Complex multiplication
The elliptic curves in class 94640co do not have complex multiplication.Modular form 94640.2.a.co
sage: E.q_eigenform(10)