Elliptic curve isogeny class with LMFDB label 147600.cb (Cremona label 147600dp)

• Label: 147600.cb
• Number of curves: $1$
• Conductor: $147600$
• CM: no
• Rank: $0$

Rank

The elliptic curve 147600.cb1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(5\)	\(1\)
\(41\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + 2 T + 7 T^{2}\)	1.7.c
\(11\)	\( 1 + 11 T^{2}\)	1.11.a
\(13\)	\( 1 - 2 T + 13 T^{2}\)	1.13.ac
\(17\)	\( 1 + 7 T + 17 T^{2}\)	1.17.h
\(19\)	\( 1 + 6 T + 19 T^{2}\)	1.19.g
\(23\)	\( 1 + 23 T^{2}\)	1.23.a
\(29\)	\( 1 + 7 T + 29 T^{2}\)	1.29.h
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 147600.cb do not have complex multiplication.

Modular form 147600.2.a.cb

Elliptic curves in class 147600.cb

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
147600.cb1	147600dp1	\([0, 0, 0, 41280, -35156880]\)	\(2813708206080/194754273881\)	\(-538456616426188800\)	\([]\)	\(1330560\)	\(2.0819\)	\(\Gamma_0(N)\)-optimal