Properties

Label 22218.x
Number of curves $1$
Conductor $22218$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("x1")
 
E.isogeny_class()
 

Elliptic curves in class 22218.x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22218.x1 22218y1 \([1, 1, 1, -1232157920, 16653707057153]\) \(-2641801258666400088001/1244109469188096\) \(-97427438329541708876414976\) \([]\) \(12718080\) \(3.9425\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22218.x1 has rank \(0\).

Complex multiplication

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

Modular form 22218.2.a.x

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