Elliptic curve isogeny class with Cremona label 46818b (LMFDB label 46818.c)

• Label: 46818b
• Number of curves: $1$
• Conductor: $46818$
• CM: no
• Rank: $1$

Rank

The elliptic curve 46818b1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(3\)	\(1\)
\(17\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 + 2 T + 5 T^{2}\)	1.5.c
\(7\)	\( 1 + T + 7 T^{2}\)	1.7.b
\(11\)	\( 1 + 11 T^{2}\)	1.11.a
\(13\)	\( 1 + 6 T + 13 T^{2}\)	1.13.g
\(19\)	\( 1 - T + 19 T^{2}\)	1.19.ab
\(23\)	\( 1 + 23 T^{2}\)	1.23.a
\(29\)	\( 1 - T + 29 T^{2}\)	1.29.ab
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 46818b do not have complex multiplication.

Modular form 46818.2.a.b

Isogeny graph

Elliptic curves in class 46818b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
46818.c1	46818b1	\([1, -1, 0, 2547, -4475]\)	\(934407/544\)	\(-1063597840416\)	\([]\)	\(69120\)	\(0.99716\)	\(\Gamma_0(N)\)-optimal