Properties

Label 28322y
Number of curves $1$
Conductor $28322$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 28322y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28322.v1 28322y1 \([1, 1, 1, -57, 139]\) \(206839/4\) \(396508\) \([]\) \(3456\) \(-0.13303\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28322y1 has rank \(1\).

Complex multiplication

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

Modular form 28322.2.a.y

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