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

• Base field: \(\Q(\sqrt{3}) \)
• Label: 2.2.12.1-2304.1-l
• Conductor: 2304.1
• Rank: \( 0 \)

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

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

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

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

Curve label	Weierstrass Coefficients
2304.1-l1	\( \bigl[0\) , \( 0\) , \( 0\) , \( 90 a - 156\) , \( 552 a - 956\bigr] \)
2304.1-l2	\( \bigl[0\) , \( 0\) , \( 0\) , \( -6 a - 3\) , \( 12 a - 2\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph