Elliptic curve isogeny class with LMFDB label 71632.j (Cremona label 71632m)

• Label: 71632.j
• Number of curves: $1$
• Conductor: $71632$
• CM: no
• Rank: $0$

Rank

The elliptic curve 71632.j1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(11\)	\(1\)
\(37\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + 3 T^{2}\)	1.3.a
\(5\)	\( 1 - 2 T + 5 T^{2}\)	1.5.ac
\(7\)	\( 1 - 2 T + 7 T^{2}\)	1.7.ac
\(13\)	\( 1 + 4 T + 13 T^{2}\)	1.13.e
\(17\)	\( 1 + 2 T + 17 T^{2}\)	1.17.c
\(19\)	\( 1 - 5 T + 19 T^{2}\)	1.19.af
\(23\)	\( 1 + 5 T + 23 T^{2}\)	1.23.f
\(29\)	\( 1 - 8 T + 29 T^{2}\)	1.29.ai
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 71632.j do not have complex multiplication.

Modular form 71632.2.a.j

Elliptic curves in class 71632.j

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
71632.j1	71632m1	\([0, 0, 0, 14641, -322102]\)	\(52272/37\)	\(-245679285820672\)	\([]\)	\(164736\)	\(1.4497\)	\(\Gamma_0(N)\)-optimal