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

• Base field: \(\Q(\sqrt{15}) \)
• Label: 2.2.60.1-98.1-e
• 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-e over \(\Q(\sqrt{15}) \)

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

Curve label	Weierstrass Coefficients
98.1-e1	\( \bigl[a\) , \( 0\) , \( a + 1\) , \( 6 a - 28\) , \( -4\bigr] \)
98.1-e2	\( \bigl[a\) , \( 0\) , \( a + 1\) , \( 86 a - 338\) , \( -754 a + 2916\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph