Elliptic curve isogeny class 15.1-a over number field 4.4.19429.1

• Base field: 4.4.19429.1
• Label: 4.4.19429.1-15.1-a
• Conductor: 15.1
• Rank: \( 1 \)

Base field 4.4.19429.1

Generator \(a\), with minimal polynomial \( x^{4} - x^{3} - 7 x^{2} - x + 5 \); class number \(1\).

Elliptic curves in class 15.1-a over 4.4.19429.1

Isogeny class 15.1-a contains only one elliptic curve.

Curve label	Weierstrass Coefficients
15.1-a1	\( \bigl[a^{2} - 4\) , \( -a^{3} + a^{2} + 6 a + 2\) , \( a^{3} - 2 a^{2} - 3 a + 3\) , \( 6 a^{3} - 20 a^{2} - 9 a + 46\) , \( -12 a^{3} + 27 a^{2} + 43 a - 13\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph