Elliptic curve isogeny class with LMFDB label 4650.bi (Cremona label 4650bv)

• Label: 4650.bi
• Number of curves: $1$
• Conductor: $4650$
• CM: no
• Rank: $0$

Elliptic curves in class 4650.bi

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
4650.bi1	4650bv1	\([1, 0, 0, 1112, -255358]\)	\(77854483/14478426\)	\(-28278175781250\)	\([]\)	\(16800\)	\(1.2603\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 4650.bi1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 - T\)
\(3\)	\(1 - T\)
\(5\)	\(1\)
\(31\)	\(1 + T\)

Good L-factors:

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

See L-function page for more information

Complex multiplication

The elliptic curves in class 4650.bi do not have complex multiplication.

Modular form 4650.2.a.bi