Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Elliptic curves in class 27378.2-a over \(\Q(\sqrt{-1}) \)
Isogeny class 27378.2-a contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 27378.2-a1 | \( \bigl[1\) , \( -1\) , \( 0\) , \( -3\) , \( 5\bigr] \) |
| 27378.2-a2 | \( \bigl[1\) , \( -1\) , \( 0\) , \( -63\) , \( 209\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
