Properties

Base field \(\Q(\sqrt{-2}) \)
Label 2.0.8.1-32400.4-d
Conductor 32400.4
Rank \( 0 \)

Related objects

Learn more

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

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

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph

Elliptic curves in class 32400.4-d over \(\Q(\sqrt{-2}) \)

Isogeny class 32400.4-d contains only one elliptic curve.

Curve label Weierstrass Coefficients
32400.4-d1 \( \bigl[a\) , \( -a\) , \( a\) , \( -7 a - 7\) , \( 46 a - 53\bigr] \)