Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 38416.1-i over \(\Q(\sqrt{-2}) \)
Isogeny class 38416.1-i contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
38416.1-i1 | \( \bigl[a\) , \( 1\) , \( 0\) , \( -4\) , \( 174\bigr] \) |
38416.1-i2 | \( \bigl[a\) , \( 1\) , \( 0\) , \( -494\) , \( 4094\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)