Properties

Base field \(\Q(\sqrt{-2}) \)
Label 2.0.8.1-41616.2-a
Conductor 41616.2
Rank \( 2 \)

Related objects

Learn more

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

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

Elliptic curves in class 41616.2-a over \(\Q(\sqrt{-2}) \)

Isogeny class 41616.2-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
41616.2-a1 \( \bigl[a\) , \( -1\) , \( 0\) , \( -8 a - 14\) , \( 20 a - 46\bigr] \)

Rank

Rank: \( 2 \)

Isogeny matrix

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

Isogeny graph