Elliptic curve isogeny class with Cremona label 366400n (LMFDB label 366400.n)

• Label: 366400n
• Number of curves: $1$
• Conductor: $366400$
• CM: no
• Rank: $1$

Rank

The elliptic curve 366400n1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(5\)	\(1\)
\(229\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + T + 3 T^{2}\)	1.3.b
\(7\)	\( 1 + 4 T + 7 T^{2}\)	1.7.e
\(11\)	\( 1 + 11 T^{2}\)	1.11.a
\(13\)	\( 1 + 3 T + 13 T^{2}\)	1.13.d
\(17\)	\( 1 + 17 T^{2}\)	1.17.a
\(19\)	\( 1 - 4 T + 19 T^{2}\)	1.19.ae
\(23\)	\( 1 + 6 T + 23 T^{2}\)	1.23.g
\(29\)	\( 1 + 4 T + 29 T^{2}\)	1.29.e
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 366400n do not have complex multiplication.

Modular form 366400.2.a.n

Elliptic curves in class 366400n

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
366400.n1	366400n1	\([0, -1, 0, 92, 1562]\)	\(85184/1145\)	\(-1145000000\)	\([]\)	\(122880\)	\(0.41898\)	\(\Gamma_0(N)\)-optimal