Properties

Base field \(\Q(\sqrt{3}) \)
Label 2.2.12.1-1058.1-a
Conductor 1058.1
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 1058.1-a over \(\Q(\sqrt{3}) \)

Isogeny class 1058.1-a contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
1058.1-a1 \( \bigl[1\) , \( -1\) , \( 0\) , \( -10\) , \( -12\bigr] \)
1058.1-a2 \( \bigl[1\) , \( -1\) , \( 0\) , \( -170\) , \( -812\bigr] \)

Rank

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Isogeny matrix

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph