Properties

Label 106722cz
Number of curves $1$
Conductor $106722$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("cz1")
 
E.isogeny_class()
 

Elliptic curves in class 106722cz

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
106722.bi1 106722cz1 \([1, -1, 0, -2678055, 3064162877]\) \(-115538049/153664\) \(-2825071108503981632064\) \([]\) \(4866048\) \(2.8089\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 106722cz1 has rank \(0\).

Complex multiplication

The elliptic curves in class 106722cz do not have complex multiplication.

Modular form 106722.2.a.cz

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - q^{8} + q^{10} + q^{13} + q^{16} - q^{17} + O(q^{20})\) Copy content Toggle raw display