Elliptic curve isogeny class with Cremona label 32634i (LMFDB label 32634.j)

• Label: 32634i
• Number of curves: $1$
• Conductor: $32634$
• CM: no
• Rank: $0$

Rank

The elliptic curve 32634i1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(3\)	\(1\)
\(7\)	\(1\)
\(37\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 + 2 T + 5 T^{2}\)	1.5.c
\(11\)	\( 1 - 5 T + 11 T^{2}\)	1.11.af
\(13\)	\( 1 - 3 T + 13 T^{2}\)	1.13.ad
\(17\)	\( 1 + 3 T + 17 T^{2}\)	1.17.d
\(19\)	\( 1 + 5 T + 19 T^{2}\)	1.19.f
\(23\)	\( 1 - 3 T + 23 T^{2}\)	1.23.ad
\(29\)	\( 1 + 29 T^{2}\)	1.29.a
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 32634i do not have complex multiplication.

Modular form 32634.2.a.i

Elliptic curves in class 32634i

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
32634.j1	32634i1	\([1, -1, 0, -123032835, 539976798549]\)	\(-49008900562345883761/1607393121140736\)	\(-6755133773193877068447744\)	\([]\)	\(8184960\)	\(3.5393\)	\(\Gamma_0(N)\)-optimal