Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("ba1")
 
E.isogeny_class()
 

Elliptic curves in class 116886ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
116886.be1 116886ba1 \([1, 1, 1, -620914, 188989439]\) \(-14943832855786297/85501108224\) \(-151470428786417664\) \([]\) \(1996800\) \(2.1384\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 116886ba1 has rank \(1\).

Complex multiplication

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

Modular form 116886.2.a.ba

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