Elliptic curve isogeny class 26.1-b over number field 3.3.148.1

• Base field: 3.3.148.1
• Label: 3.3.148.1-26.1-b
• 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-b over 3.3.148.1

Isogeny class 26.1-b contains 2 curves linked by isogenies of degree 7.

Curve label	Weierstrass Coefficients
26.1-b1	\( \bigl[1\) , \( a^{2} - a - 1\) , \( a\) , \( -412332 a^{2} - 482491 a + 189971\) , \( -265768689 a^{2} - 310972408 a + 122469086\bigr] \)
26.1-b2	\( \bigl[1\) , \( -a^{2} + 1\) , \( a + 1\) , \( a^{2} - 2\) , \( 20 a^{2} - 15 a - 66\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 7 \\ 7 & 1 \end{array}\right)\)

Isogeny graph