Base field 4.4.12725.1
Generator \(a\), with minimal polynomial \( x^{4} - 2 x^{3} - 10 x^{2} + 11 x + 29 \); class number \(1\).
Elliptic curves in class 25.1-a over 4.4.12725.1
Isogeny class 25.1-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
25.1-a1 | \( \bigl[1\) , \( -a + 1\) , \( a^{3} - 6 a - 5\) , \( -52 a^{3} - 54 a^{2} + 335 a + 462\) , \( 508 a^{3} + 576 a^{2} - 3307 a - 4758\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)