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SageMath
E = EllipticCurve("gg1")
E.isogeny_class()
Elliptic curves in class 139650.gg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
139650.gg1 | 139650fe1 | \([1, 1, 1, 80007787, 220835153531]\) | \(628805222251722551/597713542447104\) | \(-53839056675196993536000000\) | \([]\) | \(55319040\) | \(3.6245\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 139650.gg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 139650.gg do not have complex multiplication.Modular form 139650.2.a.gg
sage: E.q_eigenform(10)