Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Elliptic curves in class 12482.1-d over \(\Q(\sqrt{-1}) \)
Isogeny class 12482.1-d contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 12482.1-d1 | \( \bigl[i\) , \( -1\) , \( i\) , \( 2\) , \( -1\bigr] \) |
| 12482.1-d2 | \( \bigl[i\) , \( -1\) , \( i\) , \( -8\) , \( -5\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
