Properties

Base field \(\Q(\sqrt{-2}) \)
Label 2.0.8.1-246.3-a
Conductor 246.3
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 246.3-a over \(\Q(\sqrt{-2}) \)

Isogeny class 246.3-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
246.3-a1 \( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( a\) , \( -a\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{r} 1 \end{array}\right)\)

Isogeny graph