Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-14641.1-a
Conductor 14641.1
Rank not recorded

Related objects

Learn more about

Base field \(\Q(\sqrt{-1}) \)

Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).

Elliptic curves in class 14641.1-a over \(\Q(\sqrt{-1}) \)

Isogeny class 14641.1-a contains 2 curves linked by isogenies of degree 11.

Curve label Weierstrass Coefficients
14641.1-a1 \( \bigl[i\) , \( -1\) , \( i\) , \( -29\) , \( 76\bigr] \)
14641.1-a2 \( \bigl[i\) , \( -1\) , \( i\) , \( -304\) , \( -7888\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 11 \\ 11 & 1 \end{array}\right)\)

Isogeny graph