Base field \(\Q(\sqrt{3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 3 \); class number \(1\).
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 2116.1-b over \(\Q(\sqrt{3}) \)
Isogeny class 2116.1-b contains 2 curves linked by isogenies of degree 3.
| Curve label | Weierstrass Coefficients |
|---|---|
| 2116.1-b1 | \( \bigl[0\) , \( -1\) , \( 0\) , \( -18\) , \( 43\bigr] \) |
| 2116.1-b2 | \( \bigl[0\) , \( -1\) , \( 0\) , \( 2\) , \( -1\bigr] \) |