Properties

Label 106722.y
Number of curves $1$
Conductor $106722$
CM no
Rank $2$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 106722.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
106722.y1 106722g1 \([1, -1, 0, -303, -4691]\) \(-392931/1024\) \(-8032324608\) \([]\) \(63360\) \(0.58819\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 106722.y1 has rank \(2\).

Complex multiplication

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

Modular form 106722.2.a.y

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