Elliptic curve isogeny class 2916.1-b over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-2916.1-b
• Conductor: 2916.1
• Rank: \( 0 \)

Base field \(\Q(\sqrt{-3}) \)

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

Elliptic curves in class 2916.1-b over \(\Q(\sqrt{-3}) \)

Isogeny class 2916.1-b contains 4 curves linked by isogenies of degrees dividing 21.

Curve label	Weierstrass Coefficients
2916.1-b1	\( \bigl[1\) , \( -1\) , \( 0\) , \( -1077\) , \( 13877\bigr] \)
2916.1-b2	\( \bigl[1\) , \( -1\) , \( 1\) , \( -5\) , \( 5\bigr] \)
2916.1-b3	\( \bigl[1\) , \( -1\) , \( 1\) , \( -95\) , \( -697\bigr] \)
2916.1-b4	\( \bigl[1\) , \( -1\) , \( 0\) , \( 3\) , \( -1\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rrrr} 1 & 21 & 3 & 7 \\ 21 & 1 & 7 & 3 \\ 3 & 7 & 1 & 21 \\ 7 & 3 & 21 & 1 \end{array}\right)\)

Isogeny graph