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SageMath
E = EllipticCurve("gs1")
E.isogeny_class()
Elliptic curves in class 331200gs
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
331200.gs1 | 331200gs1 | \([0, 0, 0, 5550, 40050250]\) | \(25934336/950546875\) | \(-692948671875000000\) | \([]\) | \(2322432\) | \(2.1022\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 331200gs1 has rank \(0\).
Complex multiplication
The elliptic curves in class 331200gs do not have complex multiplication.Modular form 331200.2.a.gs
sage: E.q_eigenform(10)