Elliptic curve isogeny class with Cremona label 348390cl (LMFDB label 348390.cl)

• Label: 348390cl
• Number of curves: $2$
• Conductor: $348390$
• CM: no
• Rank: $0$

Rank

The elliptic curves in class 348390cl have rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(3\)	\(1\)
\(5\)	\(1 - T\)
\(7\)	\(1\)
\(79\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(11\)	\( 1 - 4 T + 11 T^{2}\)	1.11.ae
\(13\)	\( 1 + 2 T + 13 T^{2}\)	1.13.c
\(17\)	\( 1 + 4 T + 17 T^{2}\)	1.17.e
\(19\)	\( 1 - 4 T + 19 T^{2}\)	1.19.ae
\(23\)	\( 1 + 23 T^{2}\)	1.23.a
\(29\)	\( 1 - 6 T + 29 T^{2}\)	1.29.ag
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 348390cl do not have complex multiplication.

Modular form 348390.2.a.cl

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.

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

Isogeny graph

The vertices are labelled with Cremona labels.

Elliptic curves in class 348390cl

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
348390.cl2	348390cl1	\([1, -1, 0, -11034, 549940]\)	\(-1732323601/505600\)	\(-43363350777600\)	\([2]\)	\(1105920\)	\(1.3314\)	\(\Gamma_0(N)\)-optimal
348390.cl1	348390cl2	\([1, -1, 0, -187434, 31278820]\)	\(8490912541201/499280\)	\(42821308892880\)	\([2]\)	\(2211840\)	\(1.6780\)