Properties

Label 5390.n
Number of curves $1$
Conductor $5390$
CM no
Rank $1$

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

Elliptic curves in class 5390.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5390.n1 5390o1 \([1, 0, 1, -138, -612]\) \(5869932649/220000\) \(10780000\) \([]\) \(960\) \(0.11812\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5390.n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 5390.n do not have complex multiplication.

Modular form 5390.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} + q^{5} - q^{6} - q^{8} - 2 q^{9} - q^{10} - q^{11} + q^{12} + q^{13} + q^{15} + q^{16} - 2 q^{17} + 2 q^{18} + O(q^{20})\) Copy content Toggle raw display