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SageMath
E = EllipticCurve("cs1")
E.isogeny_class()
Elliptic curves in class 190575.cs
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 190575.cs1 | 190575cg1 | \([0, 0, 1, -58896750, -136918514219]\) | \(33649295360/7411887\) | \(4976803788911143161328125\) | \([]\) | \(24837120\) | \(3.4524\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 190575.cs1 has rank \(2\).
Complex multiplication
The elliptic curves in class 190575.cs do not have complex multiplication.Modular form 190575.2.a.cs
sage: E.q_eigenform(10)