Properties

Label 119025ck
Number of curves 11
Conductor 119025119025
CM no
Rank 00

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Show commands: SageMath
E = EllipticCurve("ck1")
 
E.isogeny_class()
 

Elliptic curves in class 119025ck

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
119025.cl1 119025ck1 [1,1,0,169672617,850635962334][1, -1, 0, -169672617, -850635962334] 10532243751053224375 512906363361924609375512906363361924609375 [][] 1987200019872000 3.26933.2693 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 119025ck1 has rank 00.

Complex multiplication

The elliptic curves in class 119025ck do not have complex multiplication.

Modular form 119025.2.a.ck

sage: E.q_eigenform(10)
 
q+q2q4+5q73q8+5q113q13+5q14q165q19+O(q20)q + q^{2} - q^{4} + 5 q^{7} - 3 q^{8} + 5 q^{11} - 3 q^{13} + 5 q^{14} - q^{16} - 5 q^{19} + O(q^{20}) Copy content Toggle raw display