Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Elliptic curves in class 81225.2-b over \(\Q(\sqrt{-1}) \)
Isogeny class 81225.2-b contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
81225.2-b1 | \( \bigl[i\) , \( -1\) , \( 0\) , \( 2\) , \( 17\bigr] \) |
81225.2-b2 | \( \bigl[i\) , \( -1\) , \( 0\) , \( -93\) , \( 378\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)