Elliptic curve isogeny class 8.1-e over number field 3.3.1849.1

• Base field: 3.3.1849.1
• Label: 3.3.1849.1-8.1-e
• Conductor: 8.1
• Rank: \( 0 \)

Base field 3.3.1849.1

Generator \(a\), with minimal polynomial \( x^{3} - x^{2} - 14 x - 8 \); class number \(1\).

Elliptic curves in class 8.1-e over 3.3.1849.1

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

Curve label	Weierstrass Coefficients
8.1-e1	\( \bigl[1\) , \( 0\) , \( a + 1\) , \( 684 a^{2} - 2660 a - 1895\) , \( -2620151 a^{2} + 10187764 a + 7257442\bigr] \)
8.1-e2	\( \bigl[1\) , \( 0\) , \( a + 1\) , \( -76 a^{2} + 295 a + 210\) , \( 97048 a^{2} - 377347 a - 268810\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph