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Properties

Label 459186.n
Number of curves $1$
Conductor $459186$
CM no
Rank $2$

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

Rank

Copy content sage:E.rank()
 

The elliptic curve 459186.n1 has rank \(2\).

Complex multiplication

The elliptic curves in class 459186.n do not have complex multiplication.

Modular form 459186.2.a.n

Copy content sage:E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} - q^{7} - q^{8} + q^{9} - q^{10} + 4 q^{11} - q^{12} + q^{13} + q^{14} - q^{15} + q^{16} - 3 q^{17} - q^{18} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 459186.n

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
459186.n1 459186n1 \([1, 1, 0, -597, -2067]\) \(28053488401/14536704\) \(12225368064\) \([]\) \(345600\) \(0.62756\) \(\Gamma_0(N)\)-optimal