Base field \(\Q(\sqrt{6}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 6 \); class number \(1\).
Elliptic curves in class 225.2-i over \(\Q(\sqrt{6}) \)
Isogeny class 225.2-i contains 2 curves linked by isogenies of degree 3.
Curve label | Weierstrass Coefficients |
---|---|
225.2-i1 | \( \bigl[0\) , \( 0\) , \( 1\) , \( 0\) , \( 6 a - 15\bigr] \) |
225.2-i2 | \( \bigl[0\) , \( 0\) , \( a + 1\) , \( 0\) , \( 10 a + 24\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)