Elliptic curve isogeny class 25.2-e over number field 3.3.985.1

• Base field: 3.3.985.1
• Label: 3.3.985.1-25.2-e
• Conductor: 25.2
• Rank: \( 1 \)

Base field 3.3.985.1

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

Elliptic curves in class 25.2-e over 3.3.985.1

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

Curve label	Weierstrass Coefficients
25.2-e1	\( \bigl[a^{2} - a - 4\) , \( a^{2} - 3\) , \( a^{2} - a - 4\) , \( 7 a^{2} + 10 a - 10\) , \( 6 a^{2} + 10 a - 6\bigr] \)
25.2-e2	\( \bigl[a^{2} - a - 4\) , \( a^{2} - 3\) , \( a^{2} - a - 4\) , \( -18 a^{2} - 40 a - 5\) , \( -87 a^{2} - 169 a + 27\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph