Properties

Label 28322f
Number of curves 1
Conductor 28322
CM no
Rank 2

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Show commands for: SageMath
sage: E = EllipticCurve("28322.e1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 28322f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
28322.e1 28322f1 [1, 1, 0, -711, -6971] [] 13824 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28322f1 has rank \(2\).

Modular form 28322.2.a.e

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