Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 1377.6-b over \(\Q(\sqrt{-2}) \)
Isogeny class 1377.6-b contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 1377.6-b1 | \( \bigl[a\) , \( -1\) , \( 1\) , \( -5 a\) , \( 5 a - 9\bigr] \) |
| 1377.6-b2 | \( \bigl[a\) , \( -1\) , \( a + 1\) , \( 4 a + 10\) , \( -9 a + 5\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
