Base field \(\Q(\sqrt{11}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 11 \); class number \(1\).
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 7 \\ 7 & 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 338.1-a over \(\Q(\sqrt{11}) \)
Isogeny class 338.1-a contains 2 curves linked by isogenies of degree 7.
| Curve label | Weierstrass Coefficients |
|---|---|
| 338.1-a1 | \( \bigl[a\) , \( 1\) , \( 0\) , \( -208\) , \( 1046\bigr] \) |
| 338.1-a2 | \( \bigl[a\) , \( 1\) , \( 0\) , \( 2\) , \( -4\bigr] \) |