Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 44800.5-q over \(\Q(\sqrt{-7}) \)
Isogeny class 44800.5-q contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
44800.5-q1 | \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 9 a - 14\) , \( -10 a + 12\bigr] \) |
44800.5-q2 | \( \bigl[0\) , \( 1\) , \( 0\) , \( 16\) , \( -16 a + 4\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)