Properties

Label 105966.n
Number of curves $1$
Conductor $105966$
CM no
Rank $1$

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

Elliptic curves in class 105966.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
105966.n1 105966r1 \([1, -1, 0, -182318445, -610832865371]\) \(1837824455085361/621495189504\) \(226646638892759950899019776\) \([]\) \(39087360\) \(3.7594\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 105966.n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 105966.n do not have complex multiplication.

Modular form 105966.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - q^{7} - q^{8} + q^{10} + 6 q^{11} + 2 q^{13} + q^{14} + q^{16} + q^{17} + O(q^{20})\) Copy content Toggle raw display