Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 1152.1-b over \(\Q(\sqrt{-1}) \)
Isogeny class 1152.1-b contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 1152.1-b1 | \( \bigl[0\) , \( -i - 1\) , \( 0\) , \( 6 i - 1\) , \( 3 i + 5\bigr] \) |
| 1152.1-b2 | \( \bigl[0\) , \( i + 1\) , \( 0\) , \( i - 1\) , \( -1\bigr] \) |