Properties

Label 118354.k
Number of curves $1$
Conductor $118354$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 118354.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
118354.k1 118354f1 \([1, -1, 0, -51127, 7796189]\) \(-1219751537625/1453933568\) \(-17617837913474048\) \([]\) \(1392000\) \(1.8112\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 118354.k1 has rank \(0\).

Complex multiplication

The elliptic curves in class 118354.k do not have complex multiplication.

Modular form 118354.2.a.k

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