Properties

Base field \(\Q(\sqrt{2}) \)
Label 2.2.8.1-2304.1-b
Conductor 2304.1
Rank \( 1 \)

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 2304.1-b over \(\Q(\sqrt{2}) \)

Isogeny class 2304.1-b contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
2304.1-b1 \( \bigl[0\) , \( 1\) , \( 0\) , \( 2\) , \( 2\bigr] \)
2304.1-b2 \( \bigl[0\) , \( -1\) , \( 0\) , \( -3\) , \( 3\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph