Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 850.1-a over \(\Q(\sqrt{-1}) \)
Isogeny class 850.1-a contains 2 curves linked by isogenies of degree 3.
| Curve label | Weierstrass Coefficients |
|---|---|
| 850.1-a1 | \( \bigl[1\) , \( 0\) , \( 1\) , \( 10 i - 6\) , \( -14 i\bigr] \) |
| 850.1-a2 | \( \bigl[1\) , \( 0\) , \( 1\) , \( -90 i - 81\) , \( -482 i - 176\bigr] \) |