Elliptic curve isogeny class 8.1-a over number field 3.3.1573.1

• Base field: 3.3.1573.1
• Label: 3.3.1573.1-8.1-a
• Conductor: 8.1
• Rank: \( 0 \)

Base field 3.3.1573.1

Generator \(a\), with minimal polynomial \( x^{3} - x^{2} - 7 x + 2 \); class number \(1\).

Elliptic curves in class 8.1-a over 3.3.1573.1

Isogeny class 8.1-a contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
8.1-a1	\( \bigl[a^{2} - 5\) , \( 0\) , \( 1\) , \( 22 a^{2} - 45 a - 227\) , \( 213 a^{2} - 355 a - 2006\bigr] \)
8.1-a2	\( \bigl[a^{2} - 5\) , \( 0\) , \( 1\) , \( -3 a^{2} + 5 a + 28\) , \( -3 a^{2} + 5 a + 28\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph