Elliptic curve isogeny class with LMFDB label 7448.c (Cremona label 7448i)

• Label: 7448.c
• Number of curves: $1$
• Conductor: $7448$
• CM: no
• Rank: $0$

Rank

The elliptic curve 7448.c1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(7\)	\(1\)
\(19\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + 2 T + 3 T^{2}\)	1.3.c
\(5\)	\( 1 + T + 5 T^{2}\)	1.5.b
\(11\)	\( 1 - 4 T + 11 T^{2}\)	1.11.ae
\(13\)	\( 1 - 2 T + 13 T^{2}\)	1.13.ac
\(17\)	\( 1 + 7 T + 17 T^{2}\)	1.17.h
\(23\)	\( 1 + 3 T + 23 T^{2}\)	1.23.d
\(29\)	\( 1 - 4 T + 29 T^{2}\)	1.29.ae
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 7448.c do not have complex multiplication.

Modular form 7448.2.a.c

Elliptic curves in class 7448.c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
7448.c1	7448i1	\([0, 1, 0, -71801, 7932091]\)	\(-27739393024/2476099\)	\(-3654199805772544\)	\([]\)	\(42000\)	\(1.7297\)	\(\Gamma_0(N)\)-optimal