Elliptic curve isogeny class 400.2-g over number field 3.3.148.1

• Base field: 3.3.148.1
• Label: 3.3.148.1-400.2-g
• Conductor: 400.2
• 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 400.2-g over 3.3.148.1

Isogeny class 400.2-g contains 4 curves linked by isogenies of degrees dividing 10.

Curve label	Weierstrass Coefficients
400.2-g1	\( \bigl[a^{2} - 1\) , \( -1\) , \( a^{2} - 1\) , \( -45 a^{2} - 46 a + 16\) , \( 254 a^{2} + 284 a - 114\bigr] \)
400.2-g2	\( \bigl[a^{2} - 1\) , \( -1\) , \( 0\) , \( 60673 a^{2} + 70994 a - 27959\) , \( -42233017 a^{2} - 49416282 a + 19461444\bigr] \)
400.2-g3	\( \bigl[0\) , \( a^{2} - 1\) , \( 0\) , \( -2 a^{2} - 4 a - 2\) , \( 6 a^{2} - 4 a - 1\bigr] \)
400.2-g4	\( \bigl[0\) , \( a^{2} - 1\) , \( 0\) , \( -3754 a^{2} - 4392 a + 1730\) , \( -211701 a^{2} - 247708 a + 97554\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rrrr} 1 & 5 & 2 & 10 \\ 5 & 1 & 10 & 2 \\ 2 & 10 & 1 & 5 \\ 10 & 2 & 5 & 1 \end{array}\right)\)

Isogeny graph