Properties

Label 129360.gx
Number of curves $1$
Conductor $129360$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("gx1")
 
E.isogeny_class()
 

Elliptic curves in class 129360.gx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
129360.gx1 129360cs1 \([0, 1, 0, -301905, -96302277]\) \(-101043379262464/74271536955\) \(-2236920845112011520\) \([]\) \(2396160\) \(2.2204\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 129360.gx1 has rank \(0\).

Complex multiplication

The elliptic curves in class 129360.gx do not have complex multiplication.

Modular form 129360.2.a.gx

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} + q^{9} - q^{11} + 4 q^{13} + q^{15} + 7 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display