Cremona's table of elliptic curves

2800 = 2⁴ · 5² · 7

Field	Data	Notes
Atkin-Lehner	2- 5- 7+	Signs for the Atkin-Lehner involutions
Class	2800y	Isogeny class
Conductor	2800	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-8605184000 = -1 · 212 · 53 · 75	Discriminant
Eigenvalues	2-  1 5- 7+  3 -1 -7  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-2373,-45517]	[a1,a2,a3,a4,a6]
Generators	[478:10405:1]	Generators of the group modulo torsion
j	-2887553024/16807	j-invariant
L	3.707920173243	L(r)(E,1)/r!
Ω	0.34188398808638	Real period
R	5.4227754186402	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	175a2 11200cy2 25200fd2 2800be2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2800y2

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
-	1	-	+	3	-1	-7	0	6	-5	-2	-2	2	-4	-3	-6	-10	-8	2	8	-6	5	-4	0	-7

---

Quadratic twists for elliptic curve 2800y2

-4	8	-3	5	-7
175a2	11200cy2	25200fd2	2800be2	19600dw2

---

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