Properties

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

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 22218.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22218.b1 22218j1 \([1, 1, 0, -5766904, 5328017884]\) \(270850291507273/551124\) \(43159063452005844\) \([]\) \(874368\) \(2.4426\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22218.b1 has rank \(1\).

Complex multiplication

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

Modular form 22218.2.a.b

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