Elliptic curve isogeny class 9.1-d over number field 3.3.1620.1

• Base field: 3.3.1620.1
• Label: 3.3.1620.1-9.1-d
• Conductor: 9.1
• Rank: \( 0 \)

Base field 3.3.1620.1

Generator \(a\), with minimal polynomial \( x^{3} - 12 x - 14 \); class number \(1\).

Elliptic curves in class 9.1-d over 3.3.1620.1

Isogeny class 9.1-d contains 2 curves linked by isogenies of degree 5.

Curve label	Weierstrass Coefficients
9.1-d1	\( \bigl[a^{2} - a - 8\) , \( -a^{2} + 2 a + 9\) , \( a^{2} - 2 a - 7\) , \( 56729977251067 a^{2} - 78906195919453 a - 571008313289912\) , \( 409380059758053249511 a^{2} - 569409306699890861898 a - 4120565719744519744118\bigr] \)
9.1-d2	\( \bigl[a\) , \( -1\) , \( a^{2} - a - 7\) , \( -44 a^{2} + 69 a + 406\) , \( 3541 a^{2} - 4951 a - 35544\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph