Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("28322.be1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 28322u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
28322.be1 28322u1 [1, 0, 0, -2794, -56120] [] 24192 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28322u1 has rank \(1\).

Modular form 28322.2.a.be

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