Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-57600.2-bb
Conductor 57600.2
Rank \( 0 \)

Related objects

Learn more

Base field \(\Q(\sqrt{-1}) \)

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

Elliptic curves in class 57600.2-bb over \(\Q(\sqrt{-1}) \)

Isogeny class 57600.2-bb contains 4 curves linked by isogenies of degrees dividing 4.

Curve label Weierstrass Coefficients
57600.2-bb1 \( \bigl[0\) , \( i\) , \( 0\) , \( -4\) , \( 0\bigr] \)
57600.2-bb2 \( \bigl[0\) , \( i\) , \( 0\) , \( 16\) , \( 16 i\bigr] \)
57600.2-bb3 \( \bigl[0\) , \( i\) , \( 0\) , \( 136\) , \( -560 i\bigr] \)
57600.2-bb4 \( \bigl[0\) , \( i\) , \( 0\) , \( 216\) , \( 1296 i\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph