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SageMath
E = EllipticCurve("ca1")
E.isogeny_class()
Elliptic curves in class 165600.ca
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 165600.ca1 | 165600dx1 | \([0, 0, 0, 22200, 320402000]\) | \(25934336/950546875\) | \(-44348715000000000000\) | \([]\) | \(2322432\) | \(2.4488\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 165600.ca1 has rank \(0\).
Complex multiplication
The elliptic curves in class 165600.ca do not have complex multiplication.Modular form 165600.2.a.ca
sage: E.q_eigenform(10)