Base field \(\Q(\sqrt{3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 3 \); class number \(1\).
Elliptic curves in class 1444.1-a over \(\Q(\sqrt{3}) \)
Isogeny class 1444.1-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
1444.1-a1 | \( \bigl[0\) , \( a - 1\) , \( a + 1\) , \( -22 a - 36\) , \( -77 a - 134\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)