Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Elliptic curves in class 76050.2-g over \(\Q(\sqrt{-1}) \)
Isogeny class 76050.2-g contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
76050.2-g1 | \( \bigl[1\) , \( 1\) , \( i\) , \( 2 i\) , \( 11 i - 4\bigr] \) |
76050.2-g2 | \( \bigl[1\) , \( 1\) , \( i\) , \( -58 i - 20\) , \( 147 i - 52\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)