Properties

Base field \(\Q(\sqrt{3}) \)
Label 2.2.12.1-2304.1-j
Conductor 2304.1
Rank \( 0 \)

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 2304.1-j over \(\Q(\sqrt{3}) \)

Isogeny class 2304.1-j contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
2304.1-j1 \( \bigl[0\) , \( 0\) , \( 0\) , \( 6 a - 3\) , \( -12 a - 2\bigr] \)
2304.1-j2 \( \bigl[0\) , \( 0\) , \( 0\) , \( 6 a - 12\) , \( -72 a + 124\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph