Elliptic curve isogeny class 1152.1-n over number field \(\Q(\sqrt{3}) \)

• Base field: \(\Q(\sqrt{3}) \)
• Label: 2.2.12.1-1152.1-n
• Conductor: 1152.1
• Rank: \( 1 \)

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

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

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph

Elliptic curves in class 1152.1-n over \(\Q(\sqrt{3}) \)

Isogeny class 1152.1-n contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
1152.1-n1	\( \bigl[0\) , \( 0\) , \( 0\) , \( 1254 a - 2172\) , \( 28692 a - 49696\bigr] \)
1152.1-n2	\( \bigl[0\) , \( 0\) , \( 0\) , \( -30 a + 51\) , \( 342 a - 592\bigr] \)