Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bi1")
 
E.isogeny_class()
 

Elliptic curves in class 116886.bi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
116886.bi1 116886bs1 \([1, 0, 0, 12400, -855744]\) \(119022883559/247883328\) \(-439140436435008\) \([]\) \(725760\) \(1.4940\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 116886.bi1 has rank \(1\).

Complex multiplication

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

Modular form 116886.2.a.bi

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