Base field \(\Q(\sqrt{6}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 6 \); class number \(1\).
Elliptic curves in class 338.1-a over \(\Q(\sqrt{6}) \)
Isogeny class 338.1-a contains 2 curves linked by isogenies of degree 3.
Curve label | Weierstrass Coefficients |
---|---|
338.1-a1 | \( \bigl[1\) , \( a\) , \( 1\) , \( -8 a - 4\) , \( 7 a + 10\bigr] \) |
338.1-a2 | \( \bigl[1\) , \( a\) , \( 1\) , \( 32 a - 99\) , \( 191 a - 426\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)