Cremona's table of elliptic curves

3800 = 2³ · 5² · 19

Field	Data	Notes
Atkin-Lehner	2- 5+ 19-	Signs for the Atkin-Lehner involutions
Class	3800h	Isogeny class
Conductor	3800	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	2304	Modular degree for the optimal curve
Δ	11281250000 = 24 · 59 · 192	Discriminant
Eigenvalues	2-  2 5+  0 -4 -4  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-883,9012]	[a1,a2,a3,a4,a6]
Generators	[57:375:1]	Generators of the group modulo torsion
j	304900096/45125	j-invariant
L	4.6568725005791	L(r)(E,1)/r!
Ω	1.2240235111681	Real period
R	0.95114032902337	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	7600b1 30400f1 34200bb1 760d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3800h1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	2	+	0	-4	-4	2	-	4	-6	-8	4	-2	-4	8	0	-8	2	14	-8	-6	-4	-16	-18	4

---

Quadratic twists for elliptic curve 3800h1

-4	8	-3	5	-19
7600b1	30400f1	34200bb1	760d1	72200i1

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations