Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Elliptic curves in class 72200.2-d over \(\Q(\sqrt{-1}) \)
Isogeny class 72200.2-d contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
72200.2-d1 | \( \bigl[i + 1\) , \( -i\) , \( 0\) , \( -15\) , \( 50 i\bigr] \) |
72200.2-d2 | \( \bigl[0\) , \( 1\) , \( 0\) , \( -35\) , \( 58\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)