Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-10092.1-e
Conductor 10092.1
Rank not recorded

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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 10092.1-e over \(\Q(\sqrt{-3}) \)

Isogeny class 10092.1-e contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
10092.1-e1 \( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -7705 a + 7704\) , \( 1226492\bigr] \)
10092.1-e2 \( \bigl[a + 1\) , \( -a\) , \( 1\) , \( 68840 a - 68841\) , \( -31810330\bigr] \)

Rank

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Isogeny matrix

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

Isogeny graph