Elliptic curve isogeny class with Cremona label 112632q (LMFDB label 112632.g)

• Label: 112632q
• Number of curves: $1$
• Conductor: $112632$
• CM: no
• Rank: $0$

Rank

The elliptic curve 112632q1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 - T\)
\(13\)	\(1 - T\)
\(19\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 + 3 T + 5 T^{2}\)	1.5.d
\(7\)	\( 1 + T + 7 T^{2}\)	1.7.b
\(11\)	\( 1 + 5 T + 11 T^{2}\)	1.11.f
\(17\)	\( 1 + 3 T + 17 T^{2}\)	1.17.d
\(23\)	\( 1 + 8 T + 23 T^{2}\)	1.23.i
\(29\)	\( 1 - 8 T + 29 T^{2}\)	1.29.ai
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 112632q do not have complex multiplication.

Modular form 112632.2.a.q

Elliptic curves in class 112632q

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
112632.g1	112632q1	\([0, -1, 0, -18016908, -29546442207]\)	\(-859256706676000000/3965752347687\)	\(-2985157008396051635952\)	\([]\)	\(7257600\)	\(2.9715\)	\(\Gamma_0(N)\)-optimal