Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("28322.p1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 28322bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
28322.p1 28322bd1 [1, -1, 1, -930, 11169] [] 26880 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28322bd1 has rank \(1\).

Modular form 28322.2.a.p

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