Elliptic curve isogeny class with LMFDB label 3900.j (Cremona label 3900l)

• Label: 3900.j
• Number of curves: $1$
• Conductor: $3900$
• CM: no
• Rank: $0$

Rank

The elliptic curve 3900.j1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 - T\)
\(5\)	\(1\)
\(13\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + 3 T + 7 T^{2}\)	1.7.d
\(11\)	\( 1 - 3 T + 11 T^{2}\)	1.11.ad
\(17\)	\( 1 + 3 T + 17 T^{2}\)	1.17.d
\(19\)	\( 1 + 19 T^{2}\)	1.19.a
\(23\)	\( 1 + 3 T + 23 T^{2}\)	1.23.d
\(29\)	\( 1 - 8 T + 29 T^{2}\)	1.29.ai
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 3900.j do not have complex multiplication.

Modular form 3900.2.a.j

Elliptic curves in class 3900.j

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
3900.j1	3900l1	\([0, 1, 0, -1515333, -730668537]\)	\(-769623354048512/15247889631\)	\(-7623944815500000000\)	\([]\)	\(84000\)	\(2.4160\)	\(\Gamma_0(N)\)-optimal