Properties

Label 22386g
Number of curves $1$
Conductor $22386$
CM no
Rank $2$

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

Elliptic curves in class 22386g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22386.h1 22386g1 \([1, 0, 1, -37929, 2835628]\) \(6034224034719280009/10659567050496\) \(10659567050496\) \([]\) \(86528\) \(1.3928\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22386g1 has rank \(2\).

Complex multiplication

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

Modular form 22386.2.a.g

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