Properties

Base field \(\Q(\sqrt{3}) \)
Label 2.2.12.1-1444.1-a
Conductor 1444.1
Rank not recorded

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

Generator \(a\), with minimal polynomial \( x^{2} - 3 \); class number \(1\).

Elliptic curves in class 1444.1-a over \(\Q(\sqrt{3}) \)

Isogeny class 1444.1-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
1444.1-a1 \( \bigl[0\) , \( a - 1\) , \( a + 1\) , \( -22 a - 36\) , \( -77 a - 134\bigr] \)

Rank

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Isogeny matrix

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

Isogeny graph