Properties

Label 259182.n
Number of curves $1$
Conductor $259182$
CM no
Rank $0$

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

Elliptic curves in class 259182.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
259182.n1 259182n1 \([1, -1, 0, -3675523671, -85767414252899]\) \(-4252043951666000571674377/228906357571584\) \(-295625228704161360592896\) \([]\) \(154828800\) \(3.9735\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 259182.n1 has rank \(0\).

Complex multiplication

The elliptic curves in class 259182.n do not have complex multiplication.

Modular form 259182.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 3 q^{5} - q^{7} - q^{8} + 3 q^{10} + q^{13} + q^{14} + q^{16} + q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display