Cremona's table of elliptic curves

10200 = 2³ · 3 · 5² · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 17-	Signs for the Atkin-Lehner involutions
Class	10200bi	Isogeny class
Conductor	10200	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	4608	Modular degree for the optimal curve
Δ	1721250000 = 24 · 34 · 57 · 17	Discriminant
Eigenvalues	2- 3- 5+  0  0  2 17-  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-783,7938]	[a1,a2,a3,a4,a6]
j	212629504/6885	j-invariant
L	2.9684157135248	L(r)(E,1)/r!
Ω	1.4842078567624	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	20400d1 81600s1 30600m1 2040a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10200bi1

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	0	2	-	4	0	10	-8	6	-2	8	0	-2	-12	14	8	4	-6	-16	-4	-6	2

---

Quadratic twists for elliptic curve 10200bi1

-4	8	-3	5
20400d1	81600s1	30600m1	2040a1

---

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