Properties

Label 28322.be
Number of curves $1$
Conductor $28322$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("be1")
 
E.isogeny_class()
 

Elliptic curves in class 28322.be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28322.be1 28322u1 \([1, 0, 0, -2794, -56120]\) \(206839/4\) \(46648769692\) \([]\) \(24192\) \(0.83993\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28322.be1 has rank \(1\).

Complex multiplication

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

Modular form 28322.2.a.be

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