Properties

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

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 22218.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22218.a1 22218e1 \([1, 1, 0, -2714574, 1728833076]\) \(-14943832855786297/85501108224\) \(-12657232566425051136\) \([]\) \(823680\) \(2.5071\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22218.a1 has rank \(0\).

Complex multiplication

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

Modular form 22218.2.a.a

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