Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 14641.3-c over \(\Q(\sqrt{-2}) \)
Isogeny class 14641.3-c contains 2 curves linked by isogenies of degree 11.
| Curve label | Weierstrass Coefficients |
|---|---|
| 14641.3-c1 | \( \bigl[1\) , \( 1\) , \( 0\) , \( -3632\) , \( 82757\bigr] \) |
| 14641.3-c2 | \( \bigl[1\) , \( 1\) , \( 0\) , \( -2\) , \( -7\bigr] \) |
Rank
Rank \(r\) satisfies \(0 \le r \le 1\)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 11 \\ 11 & 1 \end{array}\right)\)
Isogeny graph
