Properties

Label 28322.x
Number of curves 1
Conductor 28322
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("28322.x1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 28322.x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
28322.x1 28322s1 [1, -1, 1, 2402, 615213] [] 89856 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28322.x1 has rank \(1\).

Modular form 28322.2.a.x

sage: E.q_eigenform(10)
 
\( q + q^{2} + q^{4} - q^{5} + q^{8} - 3q^{9} - q^{10} + 6q^{11} - 4q^{13} + q^{16} - 3q^{18} - q^{19} + O(q^{20}) \)