Properties

Base field \(\Q(\sqrt{-2}) \)
Label 2.0.8.1-20736.3-h
Conductor 20736.3
Rank \( 1 \)

Related objects

Learn more

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

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

Elliptic curves in class 20736.3-h over \(\Q(\sqrt{-2}) \)

Isogeny class 20736.3-h contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
20736.3-h1 \( \bigl[0\) , \( 0\) , \( 0\) , \( 6\) , \( -20\bigr] \)
20736.3-h2 \( \bigl[0\) , \( 0\) , \( 0\) , \( -21\) , \( 34\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph