Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-15842.2-f
Conductor 15842.2
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 15842.2-f over \(\Q(\sqrt{-1}) \)

Isogeny class 15842.2-f contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
15842.2-f1 \( \bigl[i\) , \( 0\) , \( 0\) , \( -554\) , \( 5068\bigr] \)
15842.2-f2 \( \bigl[i\) , \( 0\) , \( 0\) , \( 6\) , \( 28\bigr] \)

Rank

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Isogeny matrix

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph