Elliptic curve isogeny class with Cremona label 35550u (LMFDB label 35550.g)

• Label: 35550u
• Number of curves: $1$
• Conductor: $35550$
• CM: no
• Rank: $1$

Rank

The elliptic curve 35550u1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(3\)	\(1\)
\(5\)	\(1\)
\(79\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 - 2 T + 7 T^{2}\)	1.7.ac
\(11\)	\( 1 + 4 T + 11 T^{2}\)	1.11.e
\(13\)	\( 1 - 3 T + 13 T^{2}\)	1.13.ad
\(17\)	\( 1 - 6 T + 17 T^{2}\)	1.17.ag
\(19\)	\( 1 + 5 T + 19 T^{2}\)	1.19.f
\(23\)	\( 1 - 6 T + 23 T^{2}\)	1.23.ag
\(29\)	\( 1 + 8 T + 29 T^{2}\)	1.29.i
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 35550u do not have complex multiplication.

Modular form 35550.2.a.u

Elliptic curves in class 35550u

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
35550.g1	35550u1	\([1, -1, 0, -10242, 394416]\)	\(417267265/8532\)	\(2429620312500\)	\([]\)	\(80640\)	\(1.1672\)	\(\Gamma_0(N)\)-optimal