Elliptic curve isogeny class 11.3-a over number field 4.4.12725.1

• Base field: 4.4.12725.1
• Label: 4.4.12725.1-11.3-a
• Conductor: 11.3
• 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 \(1\).

Elliptic curves in class 11.3-a over 4.4.12725.1

Isogeny class 11.3-a contains only one elliptic curve.

Curve label	Weierstrass Coefficients
11.3-a1	\( \bigl[a + 1\) , \( a^{3} - 2 a^{2} - 6 a + 6\) , \( a^{2} - 6\) , \( 29 a^{3} + 14 a^{2} - 237 a - 288\) , \( 167 a^{3} + 99 a^{2} - 1368 a - 1772\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph