Properties

Label 116886.r
Number of curves $1$
Conductor $116886$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 116886.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
116886.r1 116886v1 \([1, 0, 1, -14039, -6338950]\) \(-172715635009/9694992384\) \(-17175270402791424\) \([]\) \(844800\) \(1.7951\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 116886.r1 has rank \(1\).

Complex multiplication

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

Modular form 116886.2.a.r

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