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SageMath
sage: E = EllipticCurve("cm1")
sage: E.isogeny_class()
Elliptic curves in class 161840.cm
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 161840.cm1 | 161840bx1 | [0, 0, 0, 9248, -1041556] | [] | 1240320 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 161840.cm1 has rank \(1\).
Complex multiplication
The elliptic curves in class 161840.cm do not have complex multiplication.Modular form 161840.2.a.cm
sage: E.q_eigenform(10)