Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Elliptic curves in class 57122.3-b over \(\Q(\sqrt{-1}) \)
Isogeny class 57122.3-b contains 2 curves linked by isogenies of degree 7.
| Curve label | Weierstrass Coefficients |
|---|---|
| 57122.3-b1 | \( \bigl[1\) , \( -1\) , \( 0\) , \( -35944\) , \( -2868878\bigr] \) |
| 57122.3-b2 | \( \bigl[i\) , \( 1\) , \( 0\) , \( -454\) , \( -5812\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 7 \\ 7 & 1 \end{array}\right)\)
Isogeny graph
