Properties

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

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 116688.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
116688.i1 116688r1 \([0, -1, 0, -37720, -5870096]\) \(-1449073218392281/2811246362496\) \(-11514865100783616\) \([]\) \(838656\) \(1.7715\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 116688.i1 has rank \(0\).

Complex multiplication

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

Modular form 116688.2.a.i

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