Elliptic curve isogeny class with LMFDB label 119952.dy (Cremona label 119952dx)

• Label: 119952.dy
• Number of curves: $1$
• Conductor: $119952$
• CM: no
• Rank: $0$

Rank

The elliptic curve 119952.dy1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(7\)	\(1\)
\(17\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 - T + 5 T^{2}\)	1.5.ab
\(11\)	\( 1 + 3 T + 11 T^{2}\)	1.11.d
\(13\)	\( 1 + 2 T + 13 T^{2}\)	1.13.c
\(19\)	\( 1 - 6 T + 19 T^{2}\)	1.19.ag
\(23\)	\( 1 - 2 T + 23 T^{2}\)	1.23.ac
\(29\)	\( 1 + 5 T + 29 T^{2}\)	1.29.f
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 119952.dy do not have complex multiplication.

Modular form 119952.2.a.dy

Elliptic curves in class 119952.dy

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
119952.dy1	119952dx1	\([0, 0, 0, 634893, 857574578]\)	\(3947714094191/46599266304\)	\(-334086337292755009536\)	\([]\)	\(3234816\)	\(2.6191\)	\(\Gamma_0(N)\)-optimal