Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-96100.1-a
Conductor 96100.1
Rank \( 1 \)

Related objects

Learn more

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

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

Elliptic curves in class 96100.1-a over \(\Q(\sqrt{-3}) \)

Isogeny class 96100.1-a contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
96100.1-a1 \( \bigl[a + 1\) , \( a - 1\) , \( 1\) , \( 2398 a - 572\) , \( 16933 a + 26596\bigr] \)
96100.1-a2 \( \bigl[a + 1\) , \( a - 1\) , \( 1\) , \( 4198 a + 1608\) , \( 107053 a - 142308\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph