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SageMath
E = EllipticCurve("cs1")
E.isogeny_class()
Elliptic curves in class 9450.cs
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9450.cs1 | 9450ct1 | \([1, -1, 1, -444680, -114192053]\) | \(-184404614399559/314703872\) | \(-16595712000000000\) | \([]\) | \(97920\) | \(2.0070\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9450.cs1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9450.cs do not have complex multiplication.Modular form 9450.2.a.cs
sage: E.q_eigenform(10)