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SageMath
E = EllipticCurve("cs1")
E.isogeny_class()
Elliptic curves in class 333270.cs
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
333270.cs1 | 333270cs1 | \([1, -1, 0, -37445364, 116070765520]\) | \(-28462891429373441569/12053081880000000\) | \(-2458877988571807320000000\) | \([]\) | \(71221248\) | \(3.3879\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 333270.cs1 has rank \(1\).
Complex multiplication
The elliptic curves in class 333270.cs do not have complex multiplication.Modular form 333270.2.a.cs
sage: E.q_eigenform(10)