Elliptic curve isogeny class 98.1-j over number field \(\Q(\sqrt{6}) \)

• Base field: \(\Q(\sqrt{6}) \)
• Label: 2.2.24.1-98.1-j
• Conductor: 98.1
• Rank: \( 1 \)

Base field \(\Q(\sqrt{6}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 6 \); class number \(1\).

Elliptic curves in class 98.1-j over \(\Q(\sqrt{6}) \)

Isogeny class 98.1-j contains 2 curves linked by isogenies of degree 5.

Curve label	Weierstrass Coefficients
98.1-j1	\( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( -948 a - 2798\) , \( -29408 a - 75417\bigr] \)
98.1-j2	\( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( 22 a - 58\) , \( -108 a + 243\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph