Properties

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

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 22218p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22218.p1 22218p1 \([1, 0, 1, -494707, -133873522]\) \(25311095642246736793/20804234379264\) \(11005439986630656\) \([]\) \(354816\) \(2.0068\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22218p1 has rank \(0\).

Complex multiplication

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

Modular form 22218.2.a.p

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