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Properties

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

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Show commands: SageMath
Copy content sage:E = EllipticCurve("ce1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 459186ce1 has rank \(0\).

Complex multiplication

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

Modular form 459186.2.a.ce

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

Elliptic curves in class 459186ce

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
459186.ce1 459186ce1 \([1, 0, 0, -524845, -146949919]\) \(-19011700351386020041/83680418294928\) \(-70375231786034448\) \([]\) \(9777600\) \(2.0855\) \(\Gamma_0(N)\)-optimal