Elliptic curve isogeny class with Cremona label 348480qk (LMFDB label 348480.qk)

• Label: 348480qk
• Number of curves: $1$
• Conductor: $348480$
• CM: no
• Rank: $1$

Rank

The elliptic curve 348480qk1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(5\)	\(1 - T\)
\(11\)	\(1\)

Good L-factors:

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

See L-function page for more information

Complex multiplication

The elliptic curves in class 348480qk do not have complex multiplication.

Modular form 348480.2.a.qk

Elliptic curves in class 348480qk

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
348480.qk1	348480qk1	\([0, 0, 0, -58952652, 172522750576]\)	\(14934427706187/167772160\)	\(254545288750676028948480\)	\([]\)	\(40550400\)	\(3.3050\)	\(\Gamma_0(N)\)-optimal