Elliptic curve isogeny class with LMFDB label 232845.b (Cremona label 232845b)

• Label: 232845.b
• Number of curves: $1$
• Conductor: $232845$
• CM: no
• Rank: $0$

Rank

The elliptic curve 232845.b1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(3\)	\(1 + T\)
\(5\)	\(1 + T\)
\(19\)	\(1\)
\(43\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(2\)	\( 1 + 2 T + 2 T^{2}\)	1.2.c
\(7\)	\( 1 - 4 T + 7 T^{2}\)	1.7.ae
\(11\)	\( 1 + 3 T + 11 T^{2}\)	1.11.d
\(13\)	\( 1 - 3 T + 13 T^{2}\)	1.13.ad
\(17\)	\( 1 + 3 T + 17 T^{2}\)	1.17.d
\(23\)	\( 1 + 5 T + 23 T^{2}\)	1.23.f
\(29\)	\( 1 + 4 T + 29 T^{2}\)	1.29.e
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 232845.b do not have complex multiplication.

Modular form 232845.2.a.b

Elliptic curves in class 232845.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
232845.b1	232845b1	\([0, -1, 1, -13550657126, -880504557300784]\)	\(-5849020933249476332032897024/3734327290213641357421875\)	\(-175684717310443435877947998046875\)	\([]\)	\(1195084800\)	\(4.8886\)	\(\Gamma_0(N)\)-optimal