Properties

Label 28322bg
Number of curves 1
Conductor 28322
CM no
Rank 0

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("28322.bd1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 28322bg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
28322.bd1 28322bg1 [1, 0, 0, -16479, 799133] [] 58752 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28322bg1 has rank \(0\).

Modular form 28322.2.a.bd

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