Elliptic curve isogeny class with LMFDB label 190400.eq (Cremona label 190400ce)

• Label: 190400.eq
• Number of curves: $1$
• Conductor: $190400$
• CM: no
• Rank: $1$

Rank

The elliptic curve 190400.eq1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(5\)	\(1\)
\(7\)	\(1 - T\)
\(17\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 - 2 T + 3 T^{2}\)	1.3.ac
\(11\)	\( 1 - 5 T + 11 T^{2}\)	1.11.af
\(13\)	\( 1 + 2 T + 13 T^{2}\)	1.13.c
\(19\)	\( 1 - 3 T + 19 T^{2}\)	1.19.ad
\(23\)	\( 1 - 2 T + 23 T^{2}\)	1.23.ac
\(29\)	\( 1 + 3 T + 29 T^{2}\)	1.29.d
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 190400.eq do not have complex multiplication.

Modular form 190400.2.a.eq

Elliptic curves in class 190400.eq

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
190400.eq1	190400ce1	\([0, -1, 0, -1793, 30017]\)	\(-778604360/5831\)	\(-4776755200\)	\([]\)	\(138240\)	\(0.68789\)	\(\Gamma_0(N)\)-optimal