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SageMath
E = EllipticCurve("gg1")
E.isogeny_class()
Elliptic curves in class 162288gg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
162288.j1 | 162288gg1 | \([0, 0, 0, 9261, 2463426]\) | \(756/23\) | \(-2672411951010816\) | \([]\) | \(838656\) | \(1.6402\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162288gg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 162288gg do not have complex multiplication.Modular form 162288.2.a.gg
sage: E.q_eigenform(10)