Elliptic curve isogeny class 8.3-b over number field 3.3.1016.1

• Base field: 3.3.1016.1
• Label: 3.3.1016.1-8.3-b
• Conductor: 8.3
• Rank: \( 1 \)

Base field 3.3.1016.1

Generator \(a\), with minimal polynomial \( x^{3} - x^{2} - 6 x + 2 \); class number \(1\).

Elliptic curves in class 8.3-b over 3.3.1016.1

Isogeny class 8.3-b contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
8.3-b1	\( \bigl[a^{2} - 3\) , \( -a^{2} + 5\) , \( a + 1\) , \( 102 a^{2} + 116 a - 1169\) , \( -3315 a^{2} + 110 a + 26719\bigr] \)
8.3-b2	\( \bigl[a^{2} - 3\) , \( -a^{2} + 5\) , \( a + 1\) , \( -23 a^{2} + 16 a + 136\) , \( 84 a^{2} - 61 a - 513\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph