Elliptic curve isogeny class 7.4-a over number field 4.4.18432.1

• Base field: 4.4.18432.1
• Label: 4.4.18432.1-7.4-a
• Conductor: 7.4
• Rank: \( 0 \)

Base field 4.4.18432.1

Generator \(a\), with minimal polynomial \( x^{4} - 12 x^{2} + 18 \); class number \(1\).

Elliptic curves in class 7.4-a over 4.4.18432.1

Isogeny class 7.4-a contains only one elliptic curve.

Curve label	Weierstrass Coefficients
7.4-a1	\( \bigl[\frac{1}{3} a^{2} - 1\) , \( \frac{1}{3} a^{3} + \frac{1}{3} a^{2} - 2 a - 1\) , \( \frac{1}{3} a^{2} + a - 2\) , \( -a^{3} + \frac{8}{3} a^{2} + 13 a - 18\) , \( \frac{7}{3} a^{3} - \frac{5}{3} a^{2} - 21 a + 25\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph