Elliptic curve isogeny class 26.1-a over number field 3.3.148.1

• Base field: 3.3.148.1
• Label: 3.3.148.1-26.1-a
• Conductor: 26.1
• Rank: \( 0 \)

Base field 3.3.148.1

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

Elliptic curves in class 26.1-a over 3.3.148.1

Isogeny class 26.1-a contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
26.1-a1	\( \bigl[1\) , \( a^{2} - 2 a - 3\) , \( a^{2} - 2\) , \( -a^{2} + 4\) , \( -a - 1\bigr] \)
26.1-a2	\( \bigl[1\) , \( a^{2} - 2 a - 3\) , \( a^{2} - 2\) , \( -26 a^{2} - 25 a + 19\) , \( -93 a^{2} - 111 a + 36\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph