Properties

Label 116688.q
Number of curves $1$
Conductor $116688$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 116688.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
116688.q1 116688v1 \([0, 1, 0, -5802904, -5662720108]\) \(-5275941807135921123097/326485867713527808\) \(-1337286114154609901568\) \([]\) \(5617920\) \(2.8081\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 116688.q1 has rank \(0\).

Complex multiplication

The elliptic curves in class 116688.q do not have complex multiplication.

Modular form 116688.2.a.q

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