Elliptic curve isogeny class 64.7-e over number field 3.3.316.1

• Base field: 3.3.316.1
• Label: 3.3.316.1-64.7-e
• Conductor: 64.7
• Rank: \( 1 \)

Base field 3.3.316.1

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

Elliptic curves in class 64.7-e over 3.3.316.1

Isogeny class 64.7-e contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
64.7-e1	\( \bigl[a^{2} + a - 2\) , \( a^{2} - a - 4\) , \( a^{2} - 3\) , \( -73 a^{2} + 41 a + 315\) , \( -7157 a^{2} + 3791 a + 30416\bigr] \)
64.7-e2	\( \bigl[a^{2} + a - 2\) , \( a\) , \( a^{2} - 3\) , \( 4 a^{2} + 3 a - 7\) , \( 4 a^{2} + 5 a - 4\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph