Elliptic curve isogeny class 324.1-c over number field \(\Q(\sqrt{11}) \)

• Base field: \(\Q(\sqrt{11}) \)
• Label: 2.2.44.1-324.1-c
• Conductor: 324.1
• Rank: \( 1 \)

Base field \(\Q(\sqrt{11}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 11 \); 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 324.1-c over \(\Q(\sqrt{11}) \)

Isogeny class 324.1-c contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
324.1-c1	\( \bigl[a + 1\) , \( a\) , \( 0\) , \( 147 a - 471\) , \( -1820 a + 6041\bigr] \)
324.1-c2	\( \bigl[a + 1\) , \( a\) , \( 0\) , \( 12 a - 21\) , \( -29 a + 110\bigr] \)