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SageMath
E = EllipticCurve("cs1")
E.isogeny_class()
Elliptic curves in class 141120cs
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 141120.pr1 | 141120cs1 | \([0, 0, 0, -1722252, 1000761104]\) | \(-1231272543361/230400000\) | \(-105716331734630400000\) | \([]\) | \(4792320\) | \(2.5666\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141120cs1 has rank \(0\).
Complex multiplication
The elliptic curves in class 141120cs do not have complex multiplication.Modular form 141120.2.a.cs
sage: E.q_eigenform(10)