Base field \(\Q(\sqrt{-10}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 10 \); class number \(2\).
Elliptic curves in class 44.2-b over \(\Q(\sqrt{-10}) \)
Isogeny class 44.2-b contains 2 curves linked by isogenies of degree 3.
| Curve label | Weierstrass Coefficients |
|---|---|
| 44.2-b1 | \( \bigl[0\) , \( -a\) , \( 0\) , \( -1\) , \( -a + 2\bigr] \) |
| 44.2-b2 | \( \bigl[0\) , \( -a\) , \( 0\) , \( -40 a + 79\) , \( -9 a + 578\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)
Isogeny graph
