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 5330.8-b over \(\Q(\sqrt{-1}) \)
Isogeny class 5330.8-b contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 5330.8-b1 | \( \bigl[1\) , \( 1\) , \( 1\) , \( 16 i - 22\) , \( 52 i - 49\bigr] \) |
| 5330.8-b2 | \( \bigl[i\) , \( -1\) , \( i\) , \( -4 i - 1\) , \( -4 i + 1\bigr] \) |