Elliptic curve isogeny class 338.2-c over number field 3.3.148.1

• Base field: 3.3.148.1
• Label: 3.3.148.1-338.2-c
• Conductor: 338.2
• 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 338.2-c over 3.3.148.1

Isogeny class 338.2-c contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
338.2-c1	\( \bigl[a^{2} - a - 1\) , \( -a^{2} + 2\) , \( a^{2} - a - 1\) , \( -3\) , \( 3 a^{2} + a - 7\bigr] \)
338.2-c2	\( \bigl[a^{2} - a - 1\) , \( -a^{2} + 2\) , \( a^{2} - a - 1\) , \( -75 a^{2} - 55 a + 52\) , \( 512 a^{2} + 659 a - 222\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph