Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-14641.1-d
Conductor 14641.1
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 14641.1-d over \(\Q(\sqrt{-1}) \)

Isogeny class 14641.1-d contains 3 curves linked by isogenies of degrees dividing 25.

Curve label Weierstrass Coefficients
14641.1-d1 \( \bigl[0\) , \( 1\) , \( i\) , \( -946260\) , \( -354609639\bigr] \)
14641.1-d2 \( \bigl[0\) , \( -1\) , \( 1\) , \( -1250\) , \( 31239\bigr] \)
14641.1-d3 \( \bigl[0\) , \( 1\) , \( i\) , \( -40\) , \( 221\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

\(\left(\begin{array}{rrr} 1 & 5 & 25 \\ 5 & 1 & 5 \\ 25 & 5 & 1 \end{array}\right)\)

Isogeny graph