Elliptic curve isogeny class with LMFDB label 34650.e (Cremona label 34650j)

• Label: 34650.e
• Number of curves: $1$
• Conductor: $34650$
• CM: no
• Rank: $0$

Rank

The elliptic curve 34650.e1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(3\)	\(1\)
\(5\)	\(1\)
\(7\)	\(1 + T\)
\(11\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(13\)	\( 1 - 3 T + 13 T^{2}\)	1.13.ad
\(17\)	\( 1 + 3 T + 17 T^{2}\)	1.17.d
\(19\)	\( 1 + 19 T^{2}\)	1.19.a
\(23\)	\( 1 - 5 T + 23 T^{2}\)	1.23.af
\(29\)	\( 1 - 7 T + 29 T^{2}\)	1.29.ah
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 34650.e do not have complex multiplication.

Modular form 34650.2.a.e

Elliptic curves in class 34650.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
34650.e1	34650j1	\([1, -1, 0, -11570742, 15152753916]\)	\(-24064663400038825/1200348072\)	\(-8545446723515625000\)	\([]\)	\(1647360\)	\(2.7038\)	\(\Gamma_0(N)\)-optimal