Elliptic curve isogeny class with Cremona label 355008e (LMFDB label 355008.e)

• Label: 355008e
• Number of curves: $1$
• Conductor: $355008$
• CM: no
• Rank: $0$

Rank

The elliptic curve 355008e1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 + T\)
\(43\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 + 3 T + 5 T^{2}\)	1.5.d
\(7\)	\( 1 - T + 7 T^{2}\)	1.7.ab
\(11\)	\( 1 + T + 11 T^{2}\)	1.11.b
\(13\)	\( 1 + 3 T + 13 T^{2}\)	1.13.d
\(17\)	\( 1 + 6 T + 17 T^{2}\)	1.17.g
\(19\)	\( 1 + T + 19 T^{2}\)	1.19.b
\(23\)	\( 1 + 23 T^{2}\)	1.23.a
\(29\)	\( 1 + 3 T + 29 T^{2}\)	1.29.d
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 355008e do not have complex multiplication.

Modular form 355008.2.a.e

Isogeny graph

Elliptic curves in class 355008e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
355008.e1	355008e1	\([0, -1, 0, -305129992, -2057352296414]\)	\(-7765826776893057088/26042104652121\)	\(-10535782276230956088123456\)	\([]\)	\(78059520\)	\(3.6660\)	\(\Gamma_0(N)\)-optimal