Properties

Base field \(\Q(\sqrt{-2}) \)
Label 2.0.8.1-41616.6-f
Conductor 41616.6
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 41616.6-f over \(\Q(\sqrt{-2}) \)

Isogeny class 41616.6-f contains only one elliptic curve.

Curve label Weierstrass Coefficients
41616.6-f1 \( \bigl[a\) , \( -a - 1\) , \( a\) , \( -10 a + 3\) , \( -9 a + 293\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph