Elliptic curve isogeny class with Cremona label 379456h (LMFDB label 379456.h)

• Label: 379456h
• Number of curves: $1$
• Conductor: $379456$
• CM: no
• Rank: $1$

Rank

The elliptic curve 379456h1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(7\)	\(1\)
\(11\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + 3 T + 3 T^{2}\)	1.3.d
\(5\)	\( 1 + 5 T^{2}\)	1.5.a
\(13\)	\( 1 + T + 13 T^{2}\)	1.13.b
\(17\)	\( 1 + 2 T + 17 T^{2}\)	1.17.c
\(19\)	\( 1 + 2 T + 19 T^{2}\)	1.19.c
\(23\)	\( 1 + 6 T + 23 T^{2}\)	1.23.g
\(29\)	\( 1 + T + 29 T^{2}\)	1.29.b
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 379456h do not have complex multiplication.

Modular form 379456.2.a.h

Elliptic curves in class 379456h

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
379456.h1	379456h1	\([0, 0, 0, -10045420, -12249395312]\)	\(39411764973000/19487171\)	\(55430771345084219392\)	\([]\)	\(20643840\)	\(2.7417\)	\(\Gamma_0(N)\)-optimal