Elliptic curve isogeny class 59.4-d over number field 4.4.6125.1

• Base field: 4.4.6125.1
• Label: 4.4.6125.1-59.4-d
• Conductor: 59.4
• Rank: \( 0 \)

Base field 4.4.6125.1

Generator \(a\), with minimal polynomial \( x^{4} - x^{3} - 9 x^{2} + 9 x + 11 \); class number \(1\).

Elliptic curves in class 59.4-d over 4.4.6125.1

Isogeny class 59.4-d contains only one elliptic curve.

Curve label	Weierstrass Coefficients
59.4-d1	\( \bigl[2 a^{3} + 3 a^{2} - 11 a - 11\) , \( 2 a^{3} + 3 a^{2} - 11 a - 11\) , \( 2 a^{3} + 3 a^{2} - 12 a - 11\) , \( -34 a^{3} - 47 a^{2} + 198 a + 159\) , \( -522 a^{3} - 713 a^{2} + 3016 a + 2430\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph