Properties

Label 22218.v
Number of curves $1$
Conductor $22218$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 22218.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22218.v1 22218r1 \([1, 1, 1, -11, 5]\) \(279841/84\) \(44436\) \([]\) \(1920\) \(-0.40288\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22218.v1 has rank \(1\).

Complex multiplication

The elliptic curves in class 22218.v do not have complex multiplication.

Modular form 22218.2.a.v

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{5} - q^{6} - q^{7} + q^{8} + q^{9} - q^{10} + 4 q^{11} - q^{12} + 4 q^{13} - q^{14} + q^{15} + q^{16} - 3 q^{17} + q^{18} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display