Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Elliptic curves in class 8712.1-d over \(\Q(\sqrt{-1}) \)
Isogeny class 8712.1-d contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 8712.1-d1 | \( \bigl[i + 1\) , \( -i\) , \( 0\) , \( 1994\) , \( -35226 i\bigr] \) |
| 8712.1-d2 | \( \bigl[i + 1\) , \( 0\) , \( 0\) , \( 2004\) , \( 34866 i\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
