Elliptic curve isogeny class 16.2-a over number field 3.3.733.1

• Base field: 3.3.733.1
• Label: 3.3.733.1-16.2-a
• Conductor: 16.2
• Rank: \( 1 \)

Base field 3.3.733.1

Generator \(a\), with minimal polynomial \( x^{3} - x^{2} - 7 x + 8 \); class number \(1\).

Elliptic curves in class 16.2-a over 3.3.733.1

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

Curve label	Weierstrass Coefficients
16.2-a1	\( \bigl[a^{2} + a - 5\) , \( -a^{2} - a + 4\) , \( 0\) , \( -15 a^{2} - 16 a + 66\) , \( 31 a^{2} + 58 a - 69\bigr] \)
16.2-a2	\( \bigl[a^{2} + a - 5\) , \( -a^{2} + a + 5\) , \( a^{2} + a - 5\) , \( 559 a^{2} + 98 a - 3792\) , \( -3332 a^{2} - 593 a + 22622\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph