Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 5202.6-d over \(\Q(\sqrt{-2}) \)
Isogeny class 5202.6-d contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
5202.6-d1 | \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -4 a + 1\) , \( -3 a + 37\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)