Elliptic curve isogeny class 4608.1-bb over number field \(\Q(\sqrt{3}) \)

• Base field: \(\Q(\sqrt{3}) \)
• Label: 2.2.12.1-4608.1-bb
• Conductor: 4608.1
• Rank: \( 0 \)

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

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

Elliptic curves in class 4608.1-bb over \(\Q(\sqrt{3}) \)

Isogeny class 4608.1-bb contains 4 curves linked by isogenies of degrees dividing 4.

Curve label	Weierstrass Coefficients
4608.1-bb1	\( \bigl[0\) , \( 0\) , \( 0\) , \( 9192 a - 15921\) , \( -631254 a + 1093364\bigr] \)
4608.1-bb2	\( \bigl[0\) , \( 0\) , \( 0\) , \( 627 a - 1086\) , \( -7953 a + 13775\bigr] \)
4608.1-bb3	\( \bigl[0\) , \( 0\) , \( 0\) , \( 18 a - 36\) , \( 60 a - 100\bigr] \)
4608.1-bb4	\( \bigl[0\) , \( 0\) , \( 0\) , \( -1668 a + 2889\) , \( -52704 a + 91286\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph