Elliptic curve isogeny class with Cremona label 207368m (LMFDB label 207368.bg)

• Label: 207368m
• Number of curves: $1$
• Conductor: $207368$
• CM: no
• Rank: $1$

Rank

The elliptic curve 207368m1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(7\)	\(1\)
\(23\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + T + 3 T^{2}\)	1.3.b
\(5\)	\( 1 - T + 5 T^{2}\)	1.5.ab
\(11\)	\( 1 + 3 T + 11 T^{2}\)	1.11.d
\(13\)	\( 1 + 6 T + 13 T^{2}\)	1.13.g
\(17\)	\( 1 - 5 T + 17 T^{2}\)	1.17.af
\(19\)	\( 1 + T + 19 T^{2}\)	1.19.b
\(29\)	\( 1 - 2 T + 29 T^{2}\)	1.29.ac
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 207368m do not have complex multiplication.

Modular form 207368.2.a.m

Isogeny graph

Elliptic curves in class 207368m

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
207368.bg1	207368m1	\([0, 0, 0, -181447, 29212967]\)	\(48384\)	\(13654359055089424\)	\([]\)	\(2095632\)	\(1.8863\)	\(\Gamma_0(N)\)-optimal