Properties

Base field \(\Q(\sqrt{-1}) \)
Label 2.0.4.1-10082.1-e
Conductor 10082.1
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 10082.1-e over \(\Q(\sqrt{-1}) \)

Isogeny class 10082.1-e contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
10082.1-e1 \( \bigl[i\) , \( 0\) , \( 0\) , \( -58\) , \( 170\bigr] \)
10082.1-e2 \( \bigl[i\) , \( 0\) , \( 0\) , \( -8\) , \( -8\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

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

Isogeny graph