Properties

Label 116886.z
Number of curves $1$
Conductor $116886$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("z1")
 
E.isogeny_class()
 

Elliptic curves in class 116886.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
116886.z1 116886bd1 \([1, 1, 1, -149377, -467390065]\) \(-1719624451633/439139480976\) \(-94133447744936147856\) \([]\) \(4595712\) \(2.5118\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 116886.z1 has rank \(0\).

Complex multiplication

The elliptic curves in class 116886.z do not have complex multiplication.

Modular form 116886.2.a.z

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