Elliptic curve isogeny class 35.2-b over number field 3.3.985.1

• Base field: 3.3.985.1
• Label: 3.3.985.1-35.2-b
• Conductor: 35.2
• 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 35.2-b over 3.3.985.1

Isogeny class 35.2-b contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
35.2-b1	\( \bigl[a^{2} - a - 3\) , \( a^{2} - a - 4\) , \( 0\) , \( 12 a^{2} - 13 a - 70\) , \( -44 a^{2} + 36 a + 274\bigr] \)
35.2-b2	\( \bigl[a^{2} - a - 3\) , \( a^{2} - a - 4\) , \( 0\) , \( 2 a^{2} - 3 a - 5\) , \( -a + 4\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph