Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Elliptic curves in class 92416.1-k over \(\Q(\sqrt{-1}) \)
Isogeny class 92416.1-k contains 2 curves linked by isogenies of degree 5.
| Curve label | Weierstrass Coefficients |
|---|---|
| 92416.1-k1 | \( \bigl[0\) , \( i\) , \( 0\) , \( 1120\) , \( -15604 i\bigr] \) |
| 92416.1-k2 | \( \bigl[0\) , \( -i\) , \( 0\) , \( 0\) , \( -76 i\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)
Isogeny graph
