Base field \(\Q(\sqrt{3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 3 \); class number \(1\).
Elliptic curves in class 4332.1-h over \(\Q(\sqrt{3}) \)
Isogeny class 4332.1-h contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
4332.1-h1 | \( \bigl[0\) , \( -1\) , \( 0\) , \( 3\) , \( 18\bigr] \) |
4332.1-h2 | \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( 92 a - 162\) , \( -583 a + 1008\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)