Properties

Base field \(\Q(\sqrt{-2}) \)
Label 2.0.8.1-2916.4-c
Conductor 2916.4
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 2916.4-c over \(\Q(\sqrt{-2}) \)

Isogeny class 2916.4-c contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
2916.4-c1 \( \bigl[0\) , \( 0\) , \( a\) , \( 0\) , \( 0\bigr] \)
2916.4-c2 \( \bigl[0\) , \( 0\) , \( a\) , \( 0\) , \( 14\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph