Elliptic curve isogeny class 3.2-a over number field 3.3.1101.1

• Base field: 3.3.1101.1
• Label: 3.3.1101.1-3.2-a
• Conductor: 3.2
• Rank: \( 0 \)

Base field 3.3.1101.1

Generator \(a\), with minimal polynomial \( x^{3} - x^{2} - 9 x + 12 \); class number \(1\).

Elliptic curves in class 3.2-a over 3.3.1101.1

Isogeny class 3.2-a contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
3.2-a1	\( \bigl[0\) , \( a^{2} + a - 7\) , \( a^{2} + 2 a - 7\) , \( -6 a^{2} - 3 a + 49\) , \( 2 a^{2} - 4 a - 35\bigr] \)
3.2-a2	\( \bigl[0\) , \( a^{2} + a - 7\) , \( a^{2} + 2 a - 7\) , \( -120593375573 a^{2} - 203489209238 a + 538483568369\) , \( -43525777755792341 a^{2} - 73445378309351503 a + 194354922322031762\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph