Elliptic curve isogeny class 9.1-e over number field \(\Q(\sqrt{94}) \)

• Base field: \(\Q(\sqrt{94}) \)
• Label: 2.2.376.1-9.1-e
• Conductor: 9.1
• Rank: \( 1 \)

Base field \(\Q(\sqrt{94}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 94 \); class number \(1\).

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph

Elliptic curves in class 9.1-e over \(\Q(\sqrt{94}) \)

Isogeny class 9.1-e contains 4 curves linked by isogenies of degrees dividing 4.

Curve label	Weierstrass Coefficients
9.1-e1	\( \bigl[1\) , \( a - 1\) , \( a + 1\) , \( 145283251581 a - 1408573384597\) , \( 1485918118279553468 a - 14406510663507531336\bigr] \)
9.1-e2	\( \bigl[1\) , \( a - 1\) , \( a + 1\) , \( 14391315024746 a - 139528975934367\) , \( -28074311605273920314 a + 272190549759431737888\bigr] \)
9.1-e3	\( \bigl[1\) , \( a - 1\) , \( a + 1\) , \( 8209859348191 a - 79597539588872\) , \( 39546860960836813747 a - 383421042607785587000\bigr] \)
9.1-e4	\( \bigl[1\) , \( a - 1\) , \( a + 1\) , \( 131061621217396 a - 1270689562511777\) , \( 2543069723248984633384 a - 24655975746798842227124\bigr] \)