Elliptic curve isogeny class with Cremona label 4200bd (LMFDB label 4200.v)

• Label: 4200bd
• Number of curves: $1$
• Conductor: $4200$
• CM: no
• Rank: $0$

Rank

The elliptic curve 4200bd1 has rank \(0\).

L-function data

Bad L-factors:

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

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(11\)	\( 1 + T + 11 T^{2}\)	1.11.b
\(13\)	\( 1 + 4 T + 13 T^{2}\)	1.13.e
\(17\)	\( 1 + 2 T + 17 T^{2}\)	1.17.c
\(19\)	\( 1 + 4 T + 19 T^{2}\)	1.19.e
\(23\)	\( 1 - 3 T + 23 T^{2}\)	1.23.ad
\(29\)	\( 1 + T + 29 T^{2}\)	1.29.b
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 4200bd do not have complex multiplication.

Modular form 4200.2.a.bd

Isogeny graph

Elliptic curves in class 4200bd

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
4200.v1	4200bd1	\([0, 1, 0, 4941792, 7363325088]\)	\(16683494528422270/38919722282469\)	\(-31135777825975200000000\)	\([]\)	\(332640\)	\(3.0001\)	\(\Gamma_0(N)\)-optimal