Elliptic curve isogeny class 16.1-d over number field 3.3.1492.1

• Base field: 3.3.1492.1
• Label: 3.3.1492.1-16.1-d
• 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-d over 3.3.1492.1

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

Curve label	Weierstrass Coefficients
16.1-d1	\( \bigl[a + 1\) , \( -a^{2} + 3 a + 7\) , \( a^{2} - 2 a - 5\) , \( -138 a^{2} - 316 a - 136\) , \( 2382 a^{2} + 6714 a + 3272\bigr] \)
16.1-d2	\( \bigl[a + 1\) , \( -a^{2} + 3 a + 7\) , \( a^{2} - 2 a - 5\) , \( -18 a^{2} + 14 a + 24\) , \( -8 a^{2} + 140 a + 92\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph