Properties

Label 119952.gj
Number of curves $1$
Conductor $119952$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("gj1")
 
E.isogeny_class()
 

Elliptic curves in class 119952.gj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
119952.gj1 119952gv1 \([0, 0, 0, 6909, 729218]\) \(103823/714\) \(-250826794573824\) \([]\) \(368640\) \(1.4447\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 119952.gj1 has rank \(1\).

Complex multiplication

The elliptic curves in class 119952.gj do not have complex multiplication.

Modular form 119952.2.a.gj

sage: E.q_eigenform(10)
 
\(q + 3 q^{5} - q^{11} - 3 q^{13} + q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display