Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Elliptic curves in class 12482.1-e over \(\Q(\sqrt{-1}) \)
Isogeny class 12482.1-e contains 2 curves linked by isogenies of degree 5.
| Curve label | Weierstrass Coefficients |
|---|---|
| 12482.1-e1 | \( \bigl[i\) , \( -1\) , \( i\) , \( -419\) , \( -3109\bigr] \) |
| 12482.1-e2 | \( \bigl[1\) , \( 1\) , \( 1\) , \( -23380\) , \( -1385691\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)
Isogeny graph
