Base field 4.4.4400.1
Generator \(a\), with minimal polynomial \( x^{4} - 7 x^{2} + 11 \); class number \(1\).
Elliptic curves in class 31.2-f over 4.4.4400.1
Isogeny class 31.2-f contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
31.2-f1 | \( \bigl[a^{3} - 3 a\) , \( -a^{3} - a^{2} + 3 a + 4\) , \( a^{3} - 3 a\) , \( a^{3} + 4 a^{2} - 9 a - 20\) , \( 5 a^{3} + 12 a^{2} - 25 a - 49\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)