Properties

Label 474320.ct
Number of curves 11
Conductor 474320474320
CM no
Rank 00

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Show commands: SageMath
E = EllipticCurve("ct1")
 
E.isogeny_class()
 

Elliptic curves in class 474320.ct

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
474320.ct1 474320ct1 [0,1,0,1166829176,13913573617040][0, -1, 0, -1166829176, -13913573617040] 85713473128801/880000000085713473128801/8800000000 1803761575700260126720000000018037615757002601267200000000 [][] 255467520255467520 4.15744.1574 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 474320.ct1 has rank 00.

Complex multiplication

The elliptic curves in class 474320.ct do not have complex multiplication.

Modular form 474320.2.a.ct

sage: E.q_eigenform(10)
 
qq3q52q9+q13+q15+2q17+4q19+O(q20)q - q^{3} - q^{5} - 2 q^{9} + q^{13} + q^{15} + 2 q^{17} + 4 q^{19} + O(q^{20}) Copy content Toggle raw display