Properties

Label 116886d
Number of curves $1$
Conductor $116886$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("d1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 116886d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
116886.h1 116886d1 \([1, 1, 0, -153188, 108094980]\) \(-224412099736609/2722801160772\) \(-4823608347178405092\) \([]\) \(4112640\) \(2.2668\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 116886d1 has rank \(1\).

Complex multiplication

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

Modular form 116886.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + 4q^{5} + q^{6} - q^{7} - q^{8} + q^{9} - 4q^{10} - q^{12} + q^{13} + q^{14} - 4q^{15} + q^{16} - 7q^{17} - q^{18} - q^{19} + O(q^{20})\)  Toggle raw display