Elliptic curve isogeny class with LMFDB label 5950.h (Cremona label 5950e)

• Label: 5950.h
• Number of curves: $1$
• Conductor: $5950$
• CM: no
• Rank: $1$

Rank

The elliptic curve 5950.h1 has rank \(1\).

L-function data

Bad L-factors:

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

Good L-factors:

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

See L-function page for more information

Complex multiplication

The elliptic curves in class 5950.h do not have complex multiplication.

Modular form 5950.2.a.h

Elliptic curves in class 5950.h

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
5950.h1	5950e1	\([1, 0, 1, -22376, 1289398]\)	\(-79290863149681/213248000\)	\(-3332000000000\)	\([]\)	\(12672\)	\(1.2771\)	\(\Gamma_0(N)\)-optimal