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SageMath
sage: E = EllipticCurve("cg1")
sage: E.isogeny_class()
Elliptic curves in class 141120cg
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 141120.po1 | 141120cg1 | [0, 0, 0, 56448, -15706656] | [] | 1290240 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141120cg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 141120cg do not have complex multiplication.Modular form 141120.2.a.cg
sage: E.q_eigenform(10)