Base field \(\Q(\sqrt{11}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 11 \); class number \(1\).
Elliptic curves in class 396.1-d over \(\Q(\sqrt{11}) \)
Isogeny class 396.1-d contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 396.1-d1 | \( \bigl[0\) , \( -1\) , \( 0\) , \( 3\) , \( 0\bigr] \) |
| 396.1-d2 | \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 189 a - 600\) , \( -1242 a + 4146\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
