Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-99225.2-a
Conductor 99225.2
Rank not recorded

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 99225.2-a over \(\Q(\sqrt{-1}) \)

Isogeny class 99225.2-a contains 4 curves linked by isogenies of degrees dividing 4.

Curve label Weierstrass Coefficients
99225.2-a1 \( \bigl[i\) , \( 1\) , \( i\) , \( 158\) , \( -992\bigr] \)
99225.2-a2 \( \bigl[i\) , \( 1\) , \( i\) , \( -67\) , \( -182\bigr] \)
99225.2-a3 \( \bigl[i\) , \( 1\) , \( i\) , \( -22\) , \( 34\bigr] \)
99225.2-a4 \( \bigl[i\) , \( 1\) , \( i\) , \( -1012\) , \( -12656\bigr] \)

Rank

Rank not yet determined.

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