Elliptic curve isogeny class 128.7-d over number field 3.3.316.1

• Base field: 3.3.316.1
• Label: 3.3.316.1-128.7-d
• Conductor: 128.7
• Rank: \( 0 \)

Base field 3.3.316.1

Generator \(a\), with minimal polynomial \( x^{3} - x^{2} - 4 x + 2 \); class number \(1\).

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph

Elliptic curves in class 128.7-d over 3.3.316.1

Isogeny class 128.7-d contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
128.7-d1	\( \bigl[a + 1\) , \( a^{2} - 2\) , \( a^{2} + a - 2\) , \( a + 1\) , \( -11 a^{2} - 15 a + 9\bigr] \)
128.7-d2	\( \bigl[a + 1\) , \( a^{2} - 2\) , \( a^{2} + a - 2\) , \( -40 a^{2} - 44 a + 31\) , \( -323 a^{2} - 446 a + 281\bigr] \)