Elliptic curve isogeny class 19.3-d over number field 4.4.13725.1

• Base field: 4.4.13725.1
• Label: 4.4.13725.1-19.3-d
• Conductor: 19.3
• Rank: \( 1 \)

Base field 4.4.13725.1

Generator \(a\), with minimal polynomial \( x^{4} - x^{3} - 13 x^{2} + x + 31 \); class number \(1\).

Elliptic curves in class 19.3-d over 4.4.13725.1

Isogeny class 19.3-d contains only one elliptic curve.

Curve label	Weierstrass Coefficients
19.3-d1	\( \bigl[-2 a^{3} + 7 a^{2} + 12 a - 31\) , \( -2 a^{3} + 7 a^{2} + 10 a - 32\) , \( a^{3} - 3 a^{2} - 6 a + 12\) , \( a^{3} - 3 a^{2} - 4 a + 18\) , \( 6 a^{3} - 18 a^{2} - 34 a + 73\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph