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SageMath
E = EllipticCurve("cs1")
E.isogeny_class()
Elliptic curves in class 159600.cs
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
159600.cs1 | 159600da1 | \([0, -1, 0, 69792, -33401088]\) | \(23497109375/314399232\) | \(-503038771200000000\) | \([]\) | \(2073600\) | \(2.0774\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 159600.cs1 has rank \(0\).
Complex multiplication
The elliptic curves in class 159600.cs do not have complex multiplication.Modular form 159600.2.a.cs
sage: E.q_eigenform(10)