Properties

Base field \(\Q(\sqrt{3}) \)
Label 2.2.12.1-1458.1-k
Conductor 1458.1
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 1458.1-k over \(\Q(\sqrt{3}) \)

Isogeny class 1458.1-k contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
1458.1-k1 \( \bigl[a\) , \( 0\) , \( 0\) , \( -6\) , \( -8\bigr] \)
1458.1-k2 \( \bigl[1\) , \( -1\) , \( 1\) , \( 4\) , \( -1\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph