Elliptic curve isogeny class 16.2-a over number field 3.3.1101.1

• Base field: 3.3.1101.1
• Label: 3.3.1101.1-16.2-a
• Conductor: 16.2
• Rank: \( 1 \)

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 16.2-a over 3.3.1101.1

Isogeny class 16.2-a contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
16.2-a1	\( \bigl[0\) , \( -a^{2} + 8\) , \( a^{2} + a - 7\) , \( -39 a^{2} - 79 a + 134\) , \( 332 a^{2} + 580 a - 1421\bigr] \)
16.2-a2	\( \bigl[0\) , \( -a^{2} + 8\) , \( a^{2} + a - 7\) , \( -40563690416 a^{2} - 68447153676 a + 181128362848\) , \( 24702735115655296 a^{2} + 41683384407837881 a - 110304707051595270\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph