Properties

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

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 116688.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
116688.j1 116688j1 \([0, -1, 0, 88, -4752]\) \(18191447/2362932\) \(-9678569472\) \([]\) \(57600\) \(0.59544\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 116688.j1 has rank \(0\).

Complex multiplication

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

Modular form 116688.2.a.j

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