Elliptic curve isogeny class 400.1-a over number field 3.3.148.1

• Base field: 3.3.148.1
• Label: 3.3.148.1-400.1-a
• Conductor: 400.1
• 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 400.1-a over 3.3.148.1

Isogeny class 400.1-a contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
400.1-a1	\( \bigl[a^{2} - a - 2\) , \( -a^{2} + 2 a + 3\) , \( a^{2} - a - 2\) , \( -2 a^{2} + 12 a - 5\) , \( 15 a^{2} - 26 a - 7\bigr] \)
400.1-a2	\( \bigl[a^{2} - a - 2\) , \( -a^{2} + 2 a + 3\) , \( a^{2} - a - 2\) , \( -2 a^{2} + 2 a + 5\) , \( -a^{2} + 3\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph