Elliptic curve isogeny class with Cremona label 19360w (LMFDB label 19360.w)

• Label: 19360w
• Number of curves: $1$
• Conductor: $19360$
• CM: no
• Rank: $0$

Rank

The elliptic curve 19360w1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(5\)	\(1 - T\)
\(11\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 - T + 3 T^{2}\)	1.3.ab
\(7\)	\( 1 - T + 7 T^{2}\)	1.7.ab
\(13\)	\( 1 - 2 T + 13 T^{2}\)	1.13.ac
\(17\)	\( 1 - 5 T + 17 T^{2}\)	1.17.af
\(19\)	\( 1 - 7 T + 19 T^{2}\)	1.19.ah
\(23\)	\( 1 + 6 T + 23 T^{2}\)	1.23.g
\(29\)	\( 1 - T + 29 T^{2}\)	1.29.ab
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 19360w do not have complex multiplication.

Modular form 19360.2.a.w

Elliptic curves in class 19360w

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
19360.w1	19360w1	\([0, 1, 0, -363040, -367477112]\)	\(-5833944216008/60897409375\)	\(-55236339430289600000\)	\([]\)	\(403200\)	\(2.4703\)	\(\Gamma_0(N)\)-optimal