Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-99372.6-f
Conductor 99372.6
Rank \( 1 \)

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 99372.6-f over \(\Q(\sqrt{-3}) \)

Isogeny class 99372.6-f contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
99372.6-f1 \( \bigl[a + 1\) , \( -a + 1\) , \( a\) , \( 120 a - 139\) , \( -411 a + 132\bigr] \)
99372.6-f2 \( \bigl[a + 1\) , \( -a + 1\) , \( a\) , \( 1840 a - 1949\) , \( -36019 a + 20182\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph