Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Elliptic curves in class 58482.1-d over \(\Q(\sqrt{-1}) \)
Isogeny class 58482.1-d contains 2 curves linked by isogenies of degree 5.
Curve label | Weierstrass Coefficients |
---|---|
58482.1-d1 | \( \bigl[1\) , \( -1\) , \( 0\) , \( -630\) , \( 6898\bigr] \) |
58482.1-d2 | \( \bigl[i\) , \( 1\) , \( 0\) , \( 0\) , \( 32\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)