Properties

Label 116886u
Number of curves $1$
Conductor $116886$
CM no
Rank $2$

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Show commands: SageMath
sage: E = EllipticCurve("u1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 116886u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
116886.n1 116886u1 \([1, 0, 1, -8352, -46466]\) \(4399969620937/2484466992\) \(36375081229872\) \([]\) \(497664\) \(1.2921\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 116886u1 has rank \(2\).

Complex multiplication

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

Modular form 116886.2.a.u

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