Base field \(\Q(\sqrt{3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 3 \); class number \(1\).
Elliptic curves in class 1444.1-b over \(\Q(\sqrt{3}) \)
Isogeny class 1444.1-b contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
1444.1-b1 | \( \bigl[0\) , \( -a + 1\) , \( a + 1\) , \( -22 a - 36\) , \( 76 a + 132\bigr] \) |
Rank
Rank: \( 2 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)