Properties

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

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 28322.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28322.n1 28322be1 \([1, -1, 1, -573, 6885]\) \(-610929/224\) \(-7616125664\) \([]\) \(34560\) \(0.60646\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28322.n1 has rank \(1\).

Complex multiplication

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

Modular form 28322.2.a.n

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