Properties

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

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Show commands: SageMath
E = EllipticCurve("bj1")
 
E.isogeny_class()
 

Elliptic curves in class 28322bj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28322.w1 28322bj1 \([1, 1, 1, -16936851, 26821483681]\) \(654699641761/112\) \(91917379363735408\) \([]\) \(1645056\) \(2.6536\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28322bj1 has rank \(0\).

Complex multiplication

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

Modular form 28322.2.a.bj

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