Elliptic curve isogeny class with Cremona label 140400eh (LMFDB label 140400.v)

• Label: 140400eh
• Number of curves: $1$
• Conductor: $140400$
• CM: no
• Rank: $1$

Rank

The elliptic curve 140400eh1 has rank \(1\).

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 \(\mathbb{F}_p\)
\(7\)	\( 1 + 7 T^{2}\)	1.7.a
\(11\)	\( 1 + 3 T + 11 T^{2}\)	1.11.d
\(17\)	\( 1 - 7 T + 17 T^{2}\)	1.17.ah
\(19\)	\( 1 - 8 T + 19 T^{2}\)	1.19.ai
\(23\)	\( 1 - 5 T + 23 T^{2}\)	1.23.af
\(29\)	\( 1 - 10 T + 29 T^{2}\)	1.29.ak
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

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

Modular form 140400.2.a.eh

Isogeny graph

Elliptic curves in class 140400eh

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
140400.v1	140400eh1	\([0, 0, 0, -5298075, 4503890250]\)	\(1450655343147/66560000\)	\(754617876480000000000\)	\([]\)	\(4313088\)	\(2.7677\)	\(\Gamma_0(N)\)-optimal