Properties

Base field \(\Q(\sqrt{-2}) \)
Label 2.0.8.1-9522.2-a
Conductor 9522.2
Rank \( 2 \)

Related objects

Learn more about

Base field \(\Q(\sqrt{-2}) \)

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

Elliptic curves in class 9522.2-a over \(\Q(\sqrt{-2}) \)

Isogeny class 9522.2-a contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
9522.2-a1 \( \bigl[1\) , \( 1\) , \( 0\) , \( -1\) , \( 1\bigr] \)
9522.2-a2 \( \bigl[1\) , \( 1\) , \( 0\) , \( -31\) , \( 55\bigr] \)

Rank

Rank: \( 2 \)

Isogeny matrix

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

Isogeny graph