Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Elliptic curves in class 32000.2-b over \(\Q(\sqrt{-1}) \)
Isogeny class 32000.2-b contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
32000.2-b1 | \( \bigl[0\) , \( i\) , \( 0\) , \( -7 i + 4\) , \( i - 7\bigr] \) |
32000.2-b2 | \( \bigl[0\) , \( i\) , \( 0\) , \( -12 i - 6\) , \( -28 i - 10\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)