Properties

Base field \(\Q(\sqrt{-2}) \)
Label 2.0.8.1-22500.2-e
Conductor 22500.2
Rank \( 0 \)

Related objects

Learn more

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

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

Elliptic curves in class 22500.2-e over \(\Q(\sqrt{-2}) \)

Isogeny class 22500.2-e contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
22500.2-e1 \( \bigl[a\) , \( 0\) , \( a\) , \( 74\) , \( -1198\bigr] \)
22500.2-e2 \( \bigl[0\) , \( 1\) , \( 0\) , \( -333\) , \( 2088\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph