Properties

Label 22386.j
Number of curves $1$
Conductor $22386$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 22386.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22386.j1 22386h1 \([1, 0, 1, -3039954, -1826108840]\) \(3106880453184523246867609/357783940416575730876\) \(357783940416575730876\) \([]\) \(988416\) \(2.6759\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22386.j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 22386.j do not have complex multiplication.

Modular form 22386.2.a.j

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