Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-99372.4-d
Conductor 99372.4
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 99372.4-d over \(\Q(\sqrt{-3}) \)

Isogeny class 99372.4-d contains 4 curves linked by isogenies of degrees dividing 4.

Curve label Weierstrass Coefficients
99372.4-d1 \( \bigl[a\) , \( 1\) , \( a + 1\) , \( -294 a - 3316\) , \( -10400 a - 74101\bigr] \)
99372.4-d2 \( \bigl[a\) , \( 1\) , \( a + 1\) , \( -2074 a + 444\) , \( 35156 a - 27445\bigr] \)
99372.4-d3 \( \bigl[a\) , \( 1\) , \( a + 1\) , \( 76 a + 4\) , \( -18 a - 237\bigr] \)
99372.4-d4 \( \bigl[a\) , \( 1\) , \( a + 1\) , \( -64 a - 156\) , \( 314 a - 1789\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph