Elliptic curve isogeny class 4.1-a over number field 3.3.1492.1

• Base field: 3.3.1492.1
• Label: 3.3.1492.1-4.1-a
• Conductor: 4.1
• 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 4.1-a over 3.3.1492.1

Isogeny class 4.1-a contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
4.1-a1	\( \bigl[a^{2} - a - 6\) , \( -a - 1\) , \( 0\) , \( -2 a^{2} + 3 a + 14\) , \( -a^{2} + 2 a + 9\bigr] \)
4.1-a2	\( \bigl[a^{2} - a - 6\) , \( -a - 1\) , \( 0\) , \( -7 a^{2} + 8 a + 19\) , \( 10 a^{2} - 2 a + 2\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph