Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Elliptic curves in class 50176.1-p over \(\Q(\sqrt{-1}) \)
Isogeny class 50176.1-p contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 50176.1-p1 | \( \bigl[0\) , \( -1\) , \( 0\) , \( 4 i + 1\) , \( 3\bigr] \) |
| 50176.1-p2 | \( \bigl[0\) , \( -1\) , \( 0\) , \( -6 i + 11\) , \( 22 i + 9\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
