Properties

Label 139650.gg
Number of curves $1$
Conductor $139650$
CM no
Rank $0$

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Show commands: 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)
 
\(q + q^{2} - q^{3} + q^{4} - q^{6} + q^{8} + q^{9} + 3 q^{11} - q^{12} + 4 q^{13} + q^{16} + 4 q^{17} + q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display