Base field 4.4.8112.1
Generator \(a\), with minimal polynomial \( x^{4} - 5 x^{2} + 3 \); class number \(1\).
Elliptic curves in class 13.1-a over 4.4.8112.1
Isogeny class 13.1-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 13.1-a1 | \( \bigl[a^{2} - 2\) , \( a^{2} - a - 4\) , \( a^{3} - 3 a + 1\) , \( 4 a^{3} - 5 a^{2} - 19 a + 21\) , \( -15 a^{3} + 12 a^{2} + 65 a - 56\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
