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

• Base field: \(\Q(\sqrt{3}) \)
• Label: 2.2.12.1-2916.1-t
• Conductor: 2916.1
• Rank: \( 0 \)

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

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

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

Isogeny class 2916.1-t contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
2916.1-t1	\( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( 39 a - 66\) , \( -210 a + 364\bigr] \)
2916.1-t2	\( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( -10 a + 16\) , \( -26 a + 44\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph