Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Elliptic curves in class 5929.1-c over \(\Q(\sqrt{-1}) \)
Isogeny class 5929.1-c contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
5929.1-c1 | \( \bigl[1\) , \( 1\) , \( 0\) , \( 4\) , \( 11\bigr] \) |
5929.1-c2 | \( \bigl[1\) , \( 1\) , \( 0\) , \( -51\) , \( 110\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)