Elliptic curve isogeny class with LMFDB label 260100.ct (Cremona label 260100ct)

• Label: 260100.ct
• Number of curves: $2$
• Conductor: $260100$
• CM: no
• Rank: $0$

Rank

The elliptic curves in class 260100.ct have rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(5\)	\(1\)
\(17\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 - T + 7 T^{2}\)	1.7.ab
\(11\)	\( 1 + 11 T^{2}\)	1.11.a
\(13\)	\( 1 + 5 T + 13 T^{2}\)	1.13.f
\(19\)	\( 1 + T + 19 T^{2}\)	1.19.b
\(23\)	\( 1 - 6 T + 23 T^{2}\)	1.23.ag
\(29\)	\( 1 + 29 T^{2}\)	1.29.a
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 260100.ct do not have complex multiplication.

Modular form 260100.2.a.ct

Isogeny matrix

The \(i,j\) entry is the smallest degree of a cyclic isogeny between the \(i\)-th and \(j\)-th curve in the isogeny class, in the LMFDB numbering.

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.

Elliptic curves in class 260100.ct

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
260100.ct1	260100ct1	\([0, 0, 0, -113490300, -465410332375]\)	\(-127157223424/16875\)	\(-21453724017375468750000\)	\([]\)	\(25380864\)	\(3.3046\)	\(\Gamma_0(N)\)-optimal
260100.ct2	260100ct2	\([0, 0, 0, 19160700, -1467787613875]\)	\(611926016/732421875\)	\(-931151216031921386718750000\)	\([]\)	\(76142592\)	\(3.8539\)