Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Elliptic curves in class 72900.3-e over \(\Q(\sqrt{-1}) \)
Isogeny class 72900.3-e contains 2 curves linked by isogenies of degree 3.
Curve label | Weierstrass Coefficients |
---|---|
72900.3-e1 | \( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( -4 i + 3\bigr] \) |
72900.3-e2 | \( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 108 i - 81\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)