Properties

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

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 22218u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22218.bb1 22218u1 \([1, 1, 1, -1429369, 632076023]\) \(4124146838737/178564176\) \(13983536558449893456\) \([]\) \(688896\) \(2.4374\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22218u1 has rank \(1\).

Complex multiplication

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

Modular form 22218.2.a.u

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