Properties

Label 134310ck
Number of curves $1$
Conductor $134310$
CM no
Rank $1$

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

Elliptic curves in class 134310ck

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
134310.u1 134310ck1 \([1, 1, 0, -15732, -780336]\) \(-243087455521/5328000\) \(-9438877008000\) \([]\) \(399840\) \(1.2788\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 134310ck1 has rank \(1\).

Complex multiplication

The elliptic curves in class 134310ck do not have complex multiplication.

Modular form 134310.2.a.ck

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