Base field \(\Q(\sqrt{3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 3 \); class number \(1\).
Elliptic curves in class 3364.1-j over \(\Q(\sqrt{3}) \)
Isogeny class 3364.1-j contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 3364.1-j1 | \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -6 a - 8\) , \( 40 a + 70\bigr] \) |
| 3364.1-j2 | \( \bigl[0\) , \( -1\) , \( 0\) , \( -9\) , \( 14\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
