Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 36864.2-b over \(\Q(\sqrt{-2}) \)
Isogeny class 36864.2-b contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 36864.2-b1 | \( \bigl[0\) , \( -1\) , \( 0\) , \( -a\) , \( -a + 2\bigr] \) |
| 36864.2-b2 | \( \bigl[0\) , \( -1\) , \( 0\) , \( a - 6\) , \( a - 4\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
