Properties

Label 116688ba
Number of curves $1$
Conductor $116688$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ba1")
 
E.isogeny_class()
 

Elliptic curves in class 116688ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
116688.u1 116688ba1 \([0, 1, 0, 18304, 678694068]\) \(165568631260031/48580832601759744\) \(-198987090336807911424\) \([]\) \(3075072\) \(2.5739\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 116688ba1 has rank \(1\).

Complex multiplication

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

Modular form 116688.2.a.ba

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