Cremona's table of elliptic curves

9702 = 2 · 3² · 7² · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 11-	Signs for the Atkin-Lehner involutions
Class	9702ce	Isogeny class
Conductor	9702	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	3456	Modular degree for the optimal curve
Δ	-84873096 = -1 · 23 · 39 · 72 · 11	Discriminant
Eigenvalues	2- 3- -3 7- 11- -2  3 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-104,627]	[a1,a2,a3,a4,a6]
Generators	[11:21:1]	Generators of the group modulo torsion
j	-3451273/2376	j-invariant
L	5.4768810122485	L(r)(E,1)/r!
Ω	1.7684000831552	Real period
R	0.25809021124133	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	77616fp1 3234d1 9702bp1 106722dq1	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 9702ce1

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
-	-	-3	-	-	-2	3	-2	-3	6	4	2	-3	2	-9	-6	-12	-5	5	-12	16	17	9	-6	-17

---

Quadratic twists for elliptic curve 9702ce1

-4	-3	-7	-11
77616fp1	3234d1	9702bp1	106722dq1

---

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