Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-23808.2-a
Conductor 23808.2
Rank \( 0 \)

Related objects

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

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

Elliptic curves in class 23808.2-a over \(\Q(\sqrt{-3}) \)

Isogeny class 23808.2-a contains 4 curves linked by isogenies of degrees dividing 4.

Curve label Weierstrass Coefficients
23808.2-a1 \( \bigl[0\) , \( a\) , \( 0\) , \( 107 a + 22\) , \( 183 a - 593\bigr] \)
23808.2-a2 \( \bigl[0\) , \( a\) , \( 0\) , \( 7 a + 2\) , \( 3 a - 9\bigr] \)
23808.2-a3 \( \bigl[0\) , \( a\) , \( 0\) , \( -13 a - 18\) , \( -a - 49\bigr] \)
23808.2-a4 \( \bigl[0\) , \( a\) , \( 0\) , \( 2 a + 2\) , \( -a + 2\bigr] \)

Rank

Rank: \( 0 \)

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