Elliptic curve isogeny class with Cremona label 104400ct (LMFDB label 104400.cs)

• Label: 104400ct
• Number of curves: $2$
• Conductor: $104400$
• CM: no
• Rank: $0$

Rank

The elliptic curves in class 104400ct have rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(5\)	\(1\)
\(29\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + T + 7 T^{2}\)	1.7.b
\(11\)	\( 1 + 3 T + 11 T^{2}\)	1.11.d
\(13\)	\( 1 - T + 13 T^{2}\)	1.13.ab
\(17\)	\( 1 - 3 T + 17 T^{2}\)	1.17.ad
\(19\)	\( 1 - 4 T + 19 T^{2}\)	1.19.ae
\(23\)	\( 1 + 23 T^{2}\)	1.23.a
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 104400ct do not have complex multiplication.

Modular form 104400.2.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 Cremona numbering.

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

Isogeny graph

The vertices are labelled with Cremona labels.

Elliptic curves in class 104400ct

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
104400.cs1	104400ct1	\([0, 0, 0, -4425, -141125]\)	\(-1419579648/453125\)	\(-3058593750000\)	\([]\)	\(110592\)	\(1.1087\)	\(\Gamma_0(N)\)-optimal
104400.cs2	104400ct2	\([0, 0, 0, 33075, 1258875]\)	\(813189888/609725\)	\(-3000304293750000\)	\([]\)	\(331776\)	\(1.6580\)