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SageMath
E = EllipticCurve("gs1")
E.isogeny_class()
Elliptic curves in class 110400gs
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
110400.n1 | 110400gs1 | \([0, -1, 0, 761467, -1124998563]\) | \(190737654201344/2245153696875\) | \(-574759346400000000000\) | \([]\) | \(3686400\) | \(2.6643\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 110400gs1 has rank \(1\).
Complex multiplication
The elliptic curves in class 110400gs do not have complex multiplication.Modular form 110400.2.a.gs
sage: E.q_eigenform(10)