Properties

Label 116160t
Number of curves $1$
Conductor $116160$
CM no
Rank $2$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 116160t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
116160.t1 116160t1 \([0, -1, 0, -3681, -84159]\) \(1391566088/10935\) \(43356487680\) \([]\) \(107520\) \(0.86930\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 116160t1 has rank \(2\).

Complex multiplication

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

Modular form 116160.2.a.t

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - q^{7} + q^{9} - 3 q^{13} + q^{15} - q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display