Elliptic curve isogeny class 19.2-a over number field 4.4.12725.1

• Base field: 4.4.12725.1
• Label: 4.4.12725.1-19.2-a
• Conductor: 19.2
• 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 \(1\).

Elliptic curves in class 19.2-a over 4.4.12725.1

Isogeny class 19.2-a contains only one elliptic curve.

Curve label	Weierstrass Coefficients
19.2-a1	\( \bigl[a^{3} - a^{2} - 5 a + 1\) , \( a^{3} - 2 a^{2} - 4 a + 5\) , \( a\) , \( 2 a^{3} + 2 a^{2} - 7 a - 4\) , \( 22 a^{3} + 19 a^{2} - 160 a - 217\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph