Properties

Base field \(\Q(\sqrt{3}) \)
Label 2.2.12.1-1452.1-d
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-d over \(\Q(\sqrt{3}) \)

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

Curve label Weierstrass Coefficients
1452.1-d1 \( \bigl[0\) , \( -1\) , \( 0\) , \( 3\) , \( 0\bigr] \)
1452.1-d2 \( \bigl[a + 1\) , \( 1\) , \( 0\) , \( 13 a - 20\) , \( -10 a + 18\bigr] \)
1452.1-d3 \( \bigl[a + 1\) , \( 1\) , \( 0\) , \( 168 a - 290\) , \( -1494 a + 2586\bigr] \)
1452.1-d4 \( \bigl[a + 1\) , \( 1\) , \( 0\) , \( 98 a - 170\) , \( 724 a - 1254\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

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

Isogeny graph