Properties

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

Isogeny class 29241.1-c contains 2 curves linked by isogenies of degree 5.

Curve label Weierstrass Coefficients
29241.1-c1 \( \bigl[0\) , \( 0\) , \( 1\) , \( -39513\) , \( 3023145\bigr] \)
29241.1-c2 \( \bigl[0\) , \( 0\) , \( i\) , \( 177\) , \( -1035\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph