Properties

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

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

Elliptic curves in class 22386.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22386.g1 22386j1 \([1, 0, 1, -90353, 11069732]\) \(-81572642966348157961/5802482652509088\) \(-5802482652509088\) \([]\) \(252000\) \(1.7749\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22386.g1 has rank \(1\).

Complex multiplication

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

Modular form 22386.2.a.g

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