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SageMath
sage: E = EllipticCurve("c1")
sage: E.isogeny_class()
Elliptic curves in class 605c
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 605.a1 | 605c1 | [1, -1, 1, -12, 36] | [] | 120 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 605c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 605c do not have complex multiplication.Modular form 605.2.a.c
sage: E.q_eigenform(10)