Elliptic curve isogeny class 31.2-b over number field 4.4.4400.1

• Base field: 4.4.4400.1
• Label: 4.4.4400.1-31.2-b
• Conductor: 31.2
• Rank: \( 0 \)

Base field 4.4.4400.1

Generator \(a\), with minimal polynomial \( x^{4} - 7 x^{2} + 11 \); class number \(1\).

Elliptic curves in class 31.2-b over 4.4.4400.1

Isogeny class 31.2-b contains only one elliptic curve.

Curve label	Weierstrass Coefficients
31.2-b1	\( \bigl[a^{3} - 3 a + 1\) , \( a^{3} - a^{2} - 5 a + 5\) , \( a^{2} - 3\) , \( 16 a^{3} - 23 a^{2} - 49 a + 56\) , \( 66 a^{3} - 130 a^{2} - 167 a + 307\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{r} 1 \end{array}\right)\)

Isogeny graph