Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-29241.1-a
Conductor 29241.1
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 29241.1-a over \(\Q(\sqrt{-1}) \)

Isogeny class 29241.1-a contains 4 curves linked by isogenies of degrees dividing 4.

Curve label Weierstrass Coefficients
29241.1-a1 \( \bigl[i\) , \( 1\) , \( i\) , \( 77\) , \( 790\bigr] \)
29241.1-a2 \( \bigl[i\) , \( 1\) , \( i\) , \( -13\) , \( -20\bigr] \)
29241.1-a3 \( \bigl[i\) , \( 1\) , \( i\) , \( -58\) , \( 142\bigr] \)
29241.1-a4 \( \bigl[i\) , \( 1\) , \( i\) , \( -913\) , \( 10402\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph