Elliptic curve isogeny class with LMFDB label 2790.bb (Cremona label 2790ba)

• Label: 2790.bb
• Number of curves: $1$
• Conductor: $2790$
• CM: no
• Rank: $0$

Rank

The elliptic curve 2790.bb1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 - T\)
\(3\)	\(1\)
\(5\)	\(1 - T\)
\(31\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 - T + 7 T^{2}\)	1.7.ab
\(11\)	\( 1 + 5 T + 11 T^{2}\)	1.11.f
\(13\)	\( 1 - 2 T + 13 T^{2}\)	1.13.ac
\(17\)	\( 1 - 4 T + 17 T^{2}\)	1.17.ae
\(19\)	\( 1 - T + 19 T^{2}\)	1.19.ab
\(23\)	\( 1 - 5 T + 23 T^{2}\)	1.23.af
\(29\)	\( 1 + 4 T + 29 T^{2}\)	1.29.e
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 2790.bb do not have complex multiplication.

Modular form 2790.2.a.bb

Elliptic curves in class 2790.bb

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
2790.bb1	2790ba1	\([1, -1, 1, -93606737, -361204425151]\)	\(-124427822010671478697670089/5317924709672681472000\)	\(-3876767113351384793088000\)	\([]\)	\(728640\)	\(3.4842\)	\(\Gamma_0(N)\)-optimal