Properties

Label 58800.gx
Number of curves 11
Conductor 5880058800
CM no
Rank 00

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

Elliptic curves in class 58800.gx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58800.gx1 58800ek1 [0,1,0,242147792,2525136209588][0, 1, 0, 242147792, 2525136209588] 16683494528422270/3891972228246916683494528422270/38919722282469 3663093125448156304800000000-3663093125448156304800000000 [][] 3193344031933440 3.97303.9730 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58800.gx1 has rank 00.

Complex multiplication

The elliptic curves in class 58800.gx do not have complex multiplication.

Modular form 58800.2.a.gx

sage: E.q_eigenform(10)
 
q+q3+q92q11+3q13+5q17+4q19+O(q20)q + q^{3} + q^{9} - 2 q^{11} + 3 q^{13} + 5 q^{17} + 4 q^{19} + O(q^{20}) Copy content Toggle raw display