Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-100093.8-a
Conductor 100093.8
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 100093.8-a over \(\Q(\sqrt{-3}) \)

Isogeny class 100093.8-a contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
100093.8-a1 \( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( 6 a + 3\) , \( 17\bigr] \)
100093.8-a2 \( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( -319 a + 543\) , \( 2955 a + 1832\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph