Base field \(\Q(\sqrt{3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 3 \); class number \(1\).
Elliptic curves in class 2304.1-y over \(\Q(\sqrt{3}) \)
Isogeny class 2304.1-y contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
2304.1-y1 | \( \bigl[0\) , \( 0\) , \( 0\) , \( 6 a - 3\) , \( 12 a + 2\bigr] \) |
2304.1-y2 | \( \bigl[0\) , \( 0\) , \( 0\) , \( 6 a - 12\) , \( 72 a - 124\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)