Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("28322.t1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 28322x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
28322.t1 28322x1 [1, 1, 1, -9458, 294783] [] 55296 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

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

Modular form 28322.2.a.t

sage: E.q_eigenform(10)
 
\( q + q^{2} - q^{3} + q^{4} - q^{6} + q^{8} - 2q^{9} - 4q^{11} - q^{12} + 2q^{13} + q^{16} - 2q^{18} + 3q^{19} + O(q^{20}) \)