Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Elliptic curves in class 57122.3-c over \(\Q(\sqrt{-1}) \)
Isogeny class 57122.3-c contains 2 curves linked by isogenies of degree 5.
| Curve label | Weierstrass Coefficients |
|---|---|
| 57122.3-c1 | \( \bigl[1\) , \( 1\) , \( 0\) , \( -54421\) , \( 4945517\bigr] \) |
| 57122.3-c2 | \( \bigl[i\) , \( -1\) , \( 0\) , \( 504\) , \( 13112\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)
Isogeny graph
