Cremona's table of elliptic curves

88200 = 2³ · 3² · 5² · 7²

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7-	Signs for the Atkin-Lehner involutions
Class	88200bw	Isogeny class
Conductor	88200	Conductor
∏ cp	64	Product of Tamagawa factors cp
deg	1179648	Modular degree for the optimal curve
Δ	-3861083559768750000 = -1 · 24 · 37 · 58 · 710	Discriminant
Eigenvalues	2+ 3- 5+ 7-  0 -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,95550,-93853375]	[a1,a2,a3,a4,a6]
Generators	[4501:302526:1]	Generators of the group modulo torsion
j	4499456/180075	j-invariant
L	6.1167659617434	L(r)(E,1)/r!
Ω	0.11918553842648	Real period
R	3.2075860669562	Regulator
r	1	Rank of the group of rational points
S	1.0000000004434	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	29400cp1 17640by1 12600l1	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for elliptic curve 88200bw1

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
+	-	+	-	0	-2	-6	4	4	-6	0	-6	6	4	-8	14	-4	2	-12	12	10	8	4	6	-14

---

Quadratic twists for elliptic curve 88200bw1

-3	5	-7
29400cp1	17640by1	12600l1

---

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