Elliptic curve isogeny class 2916.2-i over number field \(\Q(\sqrt{-7}) \)

• Base field: \(\Q(\sqrt{-7}) \)
• Label: 2.0.7.1-2916.2-i
• Conductor: 2916.2
• Rank: \( 1 \)

Base field \(\Q(\sqrt{-7}) \)

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

Elliptic curves in class 2916.2-i over \(\Q(\sqrt{-7}) \)

Isogeny class 2916.2-i contains 3 curves linked by isogenies of degrees dividing 9.

Curve label	Weierstrass Coefficients
2916.2-i1	\( \bigl[1\) , \( -1\) , \( a + 1\) , \( 121 a - 569\) , \( -1641 a + 5199\bigr] \)
2916.2-i2	\( \bigl[1\) , \( -1\) , \( a + 1\) , \( -14 a - 29\) , \( -48 a - 39\bigr] \)
2916.2-i3	\( \bigl[1\) , \( -1\) , \( a + 1\) , \( a + 1\) , \( -a - 1\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rrr} 1 & 3 & 9 \\ 3 & 1 & 3 \\ 9 & 3 & 1 \end{array}\right)\)

Isogeny graph