Base field \(\Q(\sqrt{129}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 32 \); class number \(1\).
Elliptic curves in class 4.3-a over \(\Q(\sqrt{129}) \)
Isogeny class 4.3-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
4.3-a1 | \( \bigl[0\) , \( a - 1\) , \( a + 1\) , \( 393024 a + 2035448\) , \( -255241910 a - 1321874471\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)