Base field \(\Q(\sqrt{6}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 6 \); class number \(1\).
Elliptic curves in class 23.1-a over \(\Q(\sqrt{6}) \)
Isogeny class 23.1-a contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
23.1-a1 | \( \bigl[a\) , \( a\) , \( a + 1\) , \( a - 1\) , \( -1\bigr] \) |
23.1-a2 | \( \bigl[a\) , \( a\) , \( 1\) , \( 11 a - 23\) , \( 20 a - 47\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)