Elliptic curve isogeny class 25.2-a over number field 3.3.785.1

• Base field: 3.3.785.1
• Label: 3.3.785.1-25.2-a
• Conductor: 25.2
• Rank: \( 0 \)

Base field 3.3.785.1

Generator \(a\), with minimal polynomial \( x^{3} - x^{2} - 6 x + 5 \); class number \(1\).

Elliptic curves in class 25.2-a over 3.3.785.1

Isogeny class 25.2-a contains 2 curves linked by isogenies of degree 5.

Curve label	Weierstrass Coefficients
25.2-a1	\( \bigl[a^{2} + a - 3\) , \( -a + 1\) , \( a^{2} - 3\) , \( -a^{2} + 7 a - 1\) , \( 2 a^{2} - 2 a + 8\bigr] \)
25.2-a2	\( \bigl[a + 1\) , \( a\) , \( a\) , \( 1163 a^{2} - 225 a - 7130\) , \( 36908 a^{2} - 6799 a - 227352\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph