Elliptic curve isogeny class 61.2-a over number field 4.4.12725.1

• Base field: 4.4.12725.1
• Label: 4.4.12725.1-61.2-a
• Number of curves: 1
• Conductor: 61.2
• Rank: \( 0 \)

Base field 4.4.12725.1

Generator \(a\), with minimal polynomial \( x^{4} - 2 x^{3} - 10 x^{2} + 11 x + 29 \); class number \(1\).

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph

Elliptic curves in class 61.2-a over 4.4.12725.1

Isogeny class 61.2-a contains only one elliptic curve.

Curve label	Weierstrass Coefficients
61.2-a1	\( \bigl[a^{3} - a^{2} - 5 a + 1\) , \( -a^{3} + 6 a + 5\) , \( a + 1\) , \( -24 a^{3} - 26 a^{2} + 155 a + 219\) , \( -183 a^{3} - 205 a^{2} + 1188 a + 1697\bigr] \)