Properties

Label 22218g
Number of curves $1$
Conductor $22218$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 22218g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22218.e1 22218g1 \([1, 1, 0, -3748, 228424]\) \(-478762350767/1600967592\) \(-19478972691864\) \([]\) \(60480\) \(1.2363\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22218g1 has rank \(1\).

Complex multiplication

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

Modular form 22218.2.a.g

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