Properties

Label 201810ck
Number of curves $1$
Conductor $201810$
CM no
Rank $1$

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

Elliptic curves in class 201810ck

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
201810.j1 201810ck1 \([1, 1, 0, -5133387, 4467762621]\) \(15567270647479432024441/27184199588904960\) \(26124015804937666560\) \([]\) \(8467200\) \(2.6193\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 201810ck1 has rank \(1\).

Complex multiplication

The elliptic curves in class 201810ck do not have complex multiplication.

Modular form 201810.2.a.ck

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} - q^{7} - q^{8} + q^{9} - q^{10} - 2 q^{11} - q^{12} - 5 q^{13} + q^{14} - q^{15} + q^{16} - 3 q^{17} - q^{18} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display