Elliptic curve isogeny class with LMFDB label 43808.a (Cremona label 43808g)

• Label: 43808.a
• Number of curves: $1$
• Conductor: $43808$
• CM: no
• Rank: $1$

Rank

The elliptic curve 43808.a1 has rank \(1\).

L-function data

Bad L-factors:

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

Good L-factors:

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

See L-function page for more information

Complex multiplication

The elliptic curves in class 43808.a do not have complex multiplication.

Modular form 43808.2.a.a

Isogeny graph

Elliptic curves in class 43808.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
43808.a1	43808g1	\([0, 0, 0, -1434712, -660515120]\)	\(31077609984/50653\)	\(532323286200635392\)	\([]\)	\(2363904\)	\(2.2980\)	\(\Gamma_0(N)\)-optimal