Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-146692.2-d
Conductor 146692.2
Rank \( 0 \)

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Base field \(\Q(\sqrt{-3}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{r} 1 \end{array}\right)\)

Isogeny graph

Elliptic curves in class 146692.2-d over \(\Q(\sqrt{-3}) \)

Isogeny class 146692.2-d contains only one elliptic curve.

Curve label Weierstrass Coefficients
146692.2-d1 \( \bigl[a + 1\) , \( -a\) , \( a\) , \( -136 a - 1281\) , \( 3822 a + 17758\bigr] \)