Elliptic curve isogeny class with LMFDB label 140400.bd (Cremona label 140400if)

• Label: 140400.bd
• Number of curves: $1$
• Conductor: $140400$
• CM: no
• Rank: $0$

Rank

The elliptic curve 140400.bd1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(5\)	\(1\)
\(13\)	\(1 - T\)

Good L-factors:

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

See L-function page for more information

Complex multiplication

The elliptic curves in class 140400.bd do not have complex multiplication.

Modular form 140400.2.a.bd

Isogeny graph

Elliptic curves in class 140400.bd

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
140400.bd1	140400if1	\([0, 0, 0, -454275, -117726750]\)	\(1828927302/2197\)	\(12454142688000000\)	\([]\)	\(1105920\)	\(1.9992\)	\(\Gamma_0(N)\)-optimal