Base field \(\Q(\sqrt{3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 3 \); class number \(1\).
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 4056.1-h over \(\Q(\sqrt{3}) \)
Isogeny class 4056.1-h contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 4056.1-h1 | \( \bigl[a + 1\) , \( 1\) , \( 0\) , \( -11 a + 22\) , \( 11 a - 18\bigr] \) |
| 4056.1-h2 | \( \bigl[0\) , \( -1\) , \( 0\) , \( -3\) , \( 0\bigr] \) |