Elliptic curve isogeny class with Cremona label 18032h (LMFDB label 18032.a)

• Label: 18032h
• Number of curves: $1$
• Conductor: $18032$
• CM: no
• Rank: $0$

Rank

The elliptic curve 18032h1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(7\)	\(1\)
\(23\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + T + 3 T^{2}\)	1.3.b
\(5\)	\( 1 + 5 T^{2}\)	1.5.a
\(11\)	\( 1 - 2 T + 11 T^{2}\)	1.11.ac
\(13\)	\( 1 - 3 T + 13 T^{2}\)	1.13.ad
\(17\)	\( 1 + 17 T^{2}\)	1.17.a
\(19\)	\( 1 + 19 T^{2}\)	1.19.a
\(29\)	\( 1 - T + 29 T^{2}\)	1.29.ab
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 18032h do not have complex multiplication.

Modular form 18032.2.a.h

Isogeny graph

Elliptic curves in class 18032h

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
18032.a1	18032h1	\([0, 0, 0, 1196825, -12764985443]\)	\(100718081964000000/37453512751940327\)	\(-70501893148048440499568\)	\([]\)	\(2350080\)	\(3.0633\)	\(\Gamma_0(N)\)-optimal