Elliptic curve isogeny class 98.1-g over number field \(\Q(\sqrt{15}) \)

• Base field: \(\Q(\sqrt{15}) \)
• Label: 2.2.60.1-98.1-g
• Conductor: 98.1
• Rank: \( 0 \)

Base field \(\Q(\sqrt{15}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 15 \); class number \(2\).

Elliptic curves in class 98.1-g over \(\Q(\sqrt{15}) \)

Isogeny class 98.1-g contains 4 curves linked by isogenies of degrees dividing 4.

Curve label	Weierstrass Coefficients
98.1-g1	\( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( 167279 a - 647843\) , \( 76138094 a - 294881545\bigr] \)
98.1-g2	\( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( 43308719 a - 167733923\) , \( 305274968750 a - 1182324869961\bigr] \)
98.1-g3	\( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( 2706799 a - 10483363\) , \( 4768014958 a - 18466442505\bigr] \)
98.1-g4	\( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( 2737199 a - 10601123\) , \( 4655335982 a - 18030038729\bigr] \)

Rank

Rank: \( 0 \)

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