Base field 4.4.8112.1
Generator \(a\), with minimal polynomial \( x^{4} - 5 x^{2} + 3 \); class number \(1\).
Elliptic curves in class 13.2-a over 4.4.8112.1
Isogeny class 13.2-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
13.2-a1 | \( \bigl[a^{2} - 2\) , \( a^{2} + a - 4\) , \( a^{3} - 3 a + 1\) , \( -4 a^{3} - 5 a^{2} + 16 a + 21\) , \( 14 a^{3} + 12 a^{2} - 62 a - 56\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)