Base field \(\Q(\sqrt{6}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 6 \); class number \(1\).
Elliptic curves in class 375.1-h over \(\Q(\sqrt{6}) \)
Isogeny class 375.1-h contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 375.1-h1 | \( \bigl[a\) , \( -1\) , \( 1\) , \( -7 a - 16\) , \( 5 a + 12\bigr] \) |
| 375.1-h2 | \( \bigl[a\) , \( a - 1\) , \( a + 1\) , \( -2\) , \( -2 a + 2\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
