Elliptic curve isogeny class with LMFDB label 8490.c (Cremona label 8490d)

• Label: 8490.c
• Number of curves: $1$
• Conductor: $8490$
• CM: no
• Rank: $2$

Rank

The elliptic curve 8490.c1 has rank \(2\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(3\)	\(1 + T\)
\(5\)	\(1 - T\)
\(283\)	\(1 + T\)

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.d
\(13\)	\( 1 + 7 T + 13 T^{2}\)	1.13.h
\(17\)	\( 1 + 6 T + 17 T^{2}\)	1.17.g
\(19\)	\( 1 + 19 T^{2}\)	1.19.a
\(23\)	\( 1 + 3 T + 23 T^{2}\)	1.23.d
\(29\)	\( 1 - 3 T + 29 T^{2}\)	1.29.ad
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 8490.c do not have complex multiplication.

Modular form 8490.2.a.c

Isogeny graph

Elliptic curves in class 8490.c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
8490.c1	8490d1	\([1, 1, 0, -42, 144]\)	\(-8502154921/6367500\)	\(-6367500\)	\([]\)	\(2432\)	\(0.0047615\)	\(\Gamma_0(N)\)-optimal