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Properties

Label 459186t
Number of curves $1$
Conductor $459186$
CM no
Rank $0$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("t1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 459186t1 has rank \(0\).

Complex multiplication

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

Modular form 459186.2.a.t

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

Elliptic curves in class 459186t

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
459186.t1 459186t1 \([1, 1, 0, -1697574496, 26920304292208]\) \(1081499330456275002217/3353038416\) \(1677345440124433309776\) \([]\) \(208243200\) \(3.7234\) \(\Gamma_0(N)\)-optimal