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SageMath
E = EllipticCurve("gg1")
E.isogeny_class()
Elliptic curves in class 493680gg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
493680.gg1 | 493680gg1 | \([0, 1, 0, 3421840, 352906068]\) | \(610641930681719/360747465210\) | \(-2617696830320200949760\) | \([]\) | \(26956800\) | \(2.7991\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 493680gg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 493680gg do not have complex multiplication.Modular form 493680.2.a.gg
sage: E.q_eigenform(10)