Base field \(\Q(\sqrt{10}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 10 \); class number \(2\).
Elliptic curves in class 225.1-b over \(\Q(\sqrt{10}) \)
Isogeny class 225.1-b contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
225.1-b1 | \( \bigl[a\) , \( a - 1\) , \( a + 1\) , \( a - 3\) , \( -2\bigr] \) |
225.1-b2 | \( \bigl[0\) , \( a\) , \( 0\) , \( -2 a - 5\) , \( -5 a - 20\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)