Elliptic curve isogeny class 2304.1-be over number field \(\Q(\sqrt{3}) \)

• Base field: \(\Q(\sqrt{3}) \)
• Label: 2.2.12.1-2304.1-be
• Conductor: 2304.1
• Rank: \( 1 \)

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

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

Elliptic curves in class 2304.1-be over \(\Q(\sqrt{3}) \)

Isogeny class 2304.1-be contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
2304.1-be1	\( \bigl[0\) , \( a\) , \( 0\) , \( 418 a - 723\) , \( -5763 a + 9982\bigr] \)
2304.1-be2	\( \bigl[0\) , \( a\) , \( 0\) , \( -10 a + 18\) , \( -60 a + 104\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph