Properties

Base field \(\Q(\sqrt{-7}) \)
Label 2.0.7.1-1936.8-a
Conductor 1936.8
Rank \( 1 \)

Related objects

Learn more about

Base field \(\Q(\sqrt{-7}) \)

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

Elliptic curves in class 1936.8-a over \(\Q(\sqrt{-7}) \)

Isogeny class 1936.8-a contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
1936.8-a1 \( \bigl[0\) , \( 1\) , \( 0\) , \( -77\) , \( -289\bigr] \)
1936.8-a2 \( \bigl[0\) , \( 1\) , \( 0\) , \( 3\) , \( -1\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph