Elliptic curve isogeny class with LMFDB label 36032.a (Cremona label 36032g)

• Label: 36032.a
• Number of curves: $1$
• Conductor: $36032$
• CM: no
• Rank: $0$

Rank

The elliptic curve 36032.a1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(563\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + 3 T + 3 T^{2}\)	1.3.d
\(5\)	\( 1 + 5 T^{2}\)	1.5.a
\(7\)	\( 1 - 3 T + 7 T^{2}\)	1.7.ad
\(11\)	\( 1 + 4 T + 11 T^{2}\)	1.11.e
\(13\)	\( 1 - 6 T + 13 T^{2}\)	1.13.ag
\(17\)	\( 1 - 5 T + 17 T^{2}\)	1.17.af
\(19\)	\( 1 + T + 19 T^{2}\)	1.19.b
\(23\)	\( 1 - 5 T + 23 T^{2}\)	1.23.af
\(29\)	\( 1 - 2 T + 29 T^{2}\)	1.29.ac
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 36032.a do not have complex multiplication.

Modular form 36032.2.a.a

Isogeny graph

Elliptic curves in class 36032.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
36032.a1	36032g1	\([0, 0, 0, -40, -104]\)	\(-6912000/563\)	\(-576512\)	\([]\)	\(8704\)	\(-0.14850\)	\(\Gamma_0(N)\)-optimal