Properties

Label 46090.n
Number of curves $1$
Conductor $46090$
CM no
Rank $0$

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

Elliptic curves in class 46090.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
46090.n1 46090o1 \([1, 1, 1, -5321216705, 193788826336575]\) \(-16663128733355465781481076750866321/6580732098057570116451334553600\) \(-6580732098057570116451334553600\) \([]\) \(70791168\) \(4.6225\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 46090.n1 has rank \(0\).

Complex multiplication

The elliptic curves in class 46090.n do not have complex multiplication.

Modular form 46090.2.a.n

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} + q^{5} - q^{6} + 3 q^{7} + q^{8} - 2 q^{9} + q^{10} + q^{11} - q^{12} + q^{13} + 3 q^{14} - q^{15} + q^{16} - 2 q^{18} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display