Properties

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

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Show commands: SageMath
E = EllipticCurve("bg1")
 
E.isogeny_class()
 

Elliptic curves in class 28322bg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28322.bd1 28322bg1 \([1, 0, 0, -16479, 799133]\) \(206839/4\) \(9570739209052\) \([]\) \(58752\) \(1.2836\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

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

Complex multiplication

The elliptic curves in class 28322bg do not have complex multiplication.

Modular form 28322.2.a.bg

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