Elliptic curve isogeny class with Cremona label 202675bg (LMFDB label 202675.bf)

• Label: 202675bg
• Number of curves: $1$
• Conductor: $202675$
• CM: no
• Rank: $1$

Rank

The elliptic curve 202675bg1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(5\)	\(1\)
\(11\)	\(1\)
\(67\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(2\)	\( 1 - 2 T + 2 T^{2}\)	1.2.ac
\(3\)	\( 1 + 2 T + 3 T^{2}\)	1.3.c
\(7\)	\( 1 - 4 T + 7 T^{2}\)	1.7.ae
\(13\)	\( 1 + 13 T^{2}\)	1.13.a
\(17\)	\( 1 - 3 T + 17 T^{2}\)	1.17.ad
\(19\)	\( 1 + T + 19 T^{2}\)	1.19.b
\(23\)	\( 1 - 7 T + 23 T^{2}\)	1.23.ah
\(29\)	\( 1 + 6 T + 29 T^{2}\)	1.29.g
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 202675bg do not have complex multiplication.

Modular form 202675.2.a.bg

Elliptic curves in class 202675bg

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
202675.bf1	202675bg1	\([0, 1, 1, 11092, 3579219]\)	\(45056/1675\)	\(-5610173838671875\)	\([]\)	\(2737152\)	\(1.7018\)	\(\Gamma_0(N)\)-optimal