Elliptic curve isogeny class 152.1-b over number field 3.3.361.1

• Base field: 3.3.361.1
• Label: 3.3.361.1-152.1-b
• Conductor: 152.1
• Rank: \( 2 \)

Base field 3.3.361.1

Generator \(a\), with minimal polynomial \( x^{3} - x^{2} - 6 x + 7 \); class number \(1\).

Elliptic curves in class 152.1-b over 3.3.361.1

Isogeny class 152.1-b contains 3 curves linked by isogenies of degrees dividing 9.

Curve label	Weierstrass Coefficients
152.1-b1	\( \bigl[1\) , \( 0\) , \( 1\) , \( -86\) , \( -2456\bigr] \)
152.1-b2	\( \bigl[1\) , \( 0\) , \( 1\) , \( -16\) , \( 22\bigr] \)
152.1-b3	\( \bigl[1\) , \( 0\) , \( 1\) , \( 9\) , \( 90\bigr] \)

Rank

Rank: \( 2 \)

Isogeny matrix

\(\left(\begin{array}{rrr} 1 & 9 & 3 \\ 9 & 1 & 3 \\ 3 & 3 & 1 \end{array}\right)\)

Isogeny graph