Elliptic curve isogeny class 16.1-a over number field 3.3.1492.1

• Base field: 3.3.1492.1
• Label: 3.3.1492.1-16.1-a
• Conductor: 16.1
• Rank: \( 0 \)

Base field 3.3.1492.1

Generator \(a\), with minimal polynomial \( x^{3} - x^{2} - 9 x - 5 \); class number \(1\).

Elliptic curves in class 16.1-a over 3.3.1492.1

Isogeny class 16.1-a contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
16.1-a1	\( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 66 a^{2} - 70 a - 632\) , \( 694 a^{2} - 972 a - 6090\bigr] \)
16.1-a2	\( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( -14 a^{2} + 60 a + 8\) , \( -88 a^{2} + 304 a + 140\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph