Elliptic curve isogeny class 25.1-a over number field 3.3.148.1

• Base field: 3.3.148.1
• Label: 3.3.148.1-25.1-a
• Conductor: 25.1
• 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 25.1-a over 3.3.148.1

Isogeny class 25.1-a contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
25.1-a1	\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( 6 a - 10\) , \( -4 a^{2} + 12 a - 9\bigr] \)
25.1-a2	\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( a\) , \( -1\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph