Properties

Label 116160fe
Number of curves $1$
Conductor $116160$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("fe1")
 
E.isogeny_class()
 

Elliptic curves in class 116160fe

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
116160.w1 116160fe1 \([0, -1, 0, -67921, -6791255]\) \(-2311381447936/234375\) \(-3513840000000\) \([]\) \(365568\) \(1.4409\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 116160fe1 has rank \(1\).

Complex multiplication

The elliptic curves in class 116160fe do not have complex multiplication.

Modular form 116160.2.a.fe

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} - 6 q^{13} + q^{15} + 3 q^{17} + O(q^{20})\) Copy content Toggle raw display