Properties

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

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 116886s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
116886.o1 116886s1 \([1, 0, 1, -1312, 7042946]\) \(-187443868067/16099967224908\) \(-21429056376352548\) \([]\) \(984960\) \(1.8125\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 116886s1 has rank \(2\).

Complex multiplication

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

Modular form 116886.2.a.s

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