Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-57600.3-n
Conductor 57600.3
Rank \( 0 \)

Related objects

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

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

Elliptic curves in class 57600.3-n over \(\Q(\sqrt{-1}) \)

Isogeny class 57600.3-n contains 4 curves linked by isogenies of degrees dividing 4.

Curve label Weierstrass Coefficients
57600.3-n1 \( \bigl[0\) , \( 1\) , \( 0\) , \( -454 i + 495\) , \( -3106 i - 5845\bigr] \)
57600.3-n2 \( \bigl[0\) , \( -i\) , \( 0\) , \( 76 i - 924\) , \( -328 i + 10912\bigr] \)
57600.3-n3 \( \bigl[0\) , \( -i\) , \( 0\) , \( 16 i + 496\) , \( 4360 i - 3304\bigr] \)
57600.3-n4 \( \bigl[0\) , \( -i\) , \( 0\) , \( 106 i - 134\) , \( 832 i - 208\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph