Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("cg1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 139650.cg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
139650.cg1 139650ik1 \([1, 1, 0, 26925, 7642125]\) \(9393931/114912\) \(-26404847437500000\) \([]\) \(1612800\) \(1.8319\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 139650.cg1 has rank \(1\).

Complex multiplication

The elliptic curves in class 139650.cg do not have complex multiplication.

Modular form 139650.2.a.cg

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - q^{8} + q^{9} + 5 q^{11} - q^{12} - 3 q^{13} + q^{16} - 6 q^{17} - q^{18} - q^{19} + O(q^{20})\)  Toggle raw display