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Properties

Label 450450ki
Number of curves $1$
Conductor $450450$
CM no
Rank $0$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("ki1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 450450ki1 has rank \(0\).

Complex multiplication

The elliptic curves in class 450450ki do not have complex multiplication.

Modular form 450450.2.a.ki

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

Elliptic curves in class 450450ki

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
450450.ki1 450450ki1 \([1, -1, 1, 1626070, -577041303]\) \(1669760225634695/1470722885632\) \(-418811321728800000000\) \([]\) \(19008000\) \(2.6445\) \(\Gamma_0(N)\)-optimal