Properties

Label 22050.fq
Number of curves $1$
Conductor $22050$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("fq1")
 
E.isogeny_class()
 

Elliptic curves in class 22050.fq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22050.fq1 22050ft1 \([1, -1, 1, 21820, -5030553]\) \(16468459/165888\) \(-11573604000000000\) \([]\) \(168960\) \(1.7634\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22050.fq1 has rank \(1\).

Complex multiplication

The elliptic curves in class 22050.fq do not have complex multiplication.

Modular form 22050.2.a.fq

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