Elliptic curve isogeny class 208.1-b over number field 3.3.148.1

• Base field: 3.3.148.1
• Label: 3.3.148.1-208.1-b
• Conductor: 208.1
• Rank: \( 1 \)

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 208.1-b over 3.3.148.1

Isogeny class 208.1-b contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
208.1-b1	\( \bigl[a^{2} - a - 2\) , \( a^{2} - a - 1\) , \( a^{2} - a - 2\) , \( -443 a^{2} + 1079 a - 295\) , \( 8550 a^{2} - 21172 a + 5758\bigr] \)
208.1-b2	\( \bigl[a^{2} - a - 2\) , \( a^{2} - a - 1\) , \( a^{2} - a - 2\) , \( -3 a^{2} + 9 a - 5\) , \( 14 a^{2} - 34 a + 8\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph