Properties

Base field \(\Q(\sqrt{3}) \)
Label 2.2.12.1-1452.1-g
Conductor 1452.1
Rank not recorded

Related objects

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

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

Elliptic curves in class 1452.1-g over \(\Q(\sqrt{3}) \)

Isogeny class 1452.1-g contains 4 curves linked by isogenies of degrees dividing 4.

Curve label Weierstrass Coefficients
1452.1-g1 \( \bigl[0\) , \( -1\) , \( 0\) , \( -77\) , \( 330\bigr] \)
1452.1-g2 \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( 20777 a - 36012\) , \( -2138719 a + 3704385\bigr] \)
1452.1-g3 \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( 1292 a - 2262\) , \( -33043 a + 57252\bigr] \)
1452.1-g4 \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( 1247 a - 2532\) , \( -29317 a + 53175\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

\(\left(\begin{array}{rrrr} 1 & 4 & 2 & 4 \\ 4 & 1 & 2 & 4 \\ 2 & 2 & 1 & 2 \\ 4 & 4 & 2 & 1 \end{array}\right)\)

Isogeny graph