Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Elliptic curves in class 29241.1-c over \(\Q(\sqrt{-1}) \)
Isogeny class 29241.1-c contains 2 curves linked by isogenies of degree 5.
Curve label | Weierstrass Coefficients |
---|---|
29241.1-c1 | \( \bigl[0\) , \( 0\) , \( 1\) , \( -39513\) , \( 3023145\bigr] \) |
29241.1-c2 | \( \bigl[0\) , \( 0\) , \( i\) , \( 177\) , \( -1035\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)