Elliptic curve isogeny class 19.2-b over number field 4.4.15125.1

• Base field: 4.4.15125.1
• Label: 4.4.15125.1-19.2-b
• Conductor: 19.2
• Rank: \( 0 \)

Base field 4.4.15125.1

Generator \(a\), with minimal polynomial \( x^{4} - x^{3} - 14 x^{2} + 14 x + 31 \); class number \(1\).

Elliptic curves in class 19.2-b over 4.4.15125.1

Isogeny class 19.2-b contains only one elliptic curve.

Curve label	Weierstrass Coefficients
19.2-b1	\( \bigl[-2 a^{3} - 3 a^{2} + 18 a + 17\) , \( -3 a^{3} - 5 a^{2} + 27 a + 29\) , \( -3 a^{3} - 5 a^{2} + 28 a + 31\) , \( -6 a^{3} - 10 a^{2} + 54 a + 59\) , \( -4 a^{3} - 7 a^{2} + 36 a + 42\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph