Cremona's table of elliptic curves

9735 = 3 · 5 · 11 · 59

Field	Data	Notes
Atkin-Lehner	3- 5- 11- 59+	Signs for the Atkin-Lehner involutions
Class	9735j	Isogeny class
Conductor	9735	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	312194444450625 = 34 · 54 · 116 · 592	Discriminant
Eigenvalues	1 3- 5-  4 11-  2 -6 -8	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-41333,-3124069]	[a1,a2,a3,a4,a6]
j	7809071371100932681/312194444450625	j-invariant
L	4.0278842849519	L(r)(E,1)/r!
Ω	0.33565702374599	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	29205g2 48675g2 107085s2	Quadratic twists by: -3 5 -11

Hecke Eigenvalues for elliptic curve 9735j2

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

---

Quadratic twists for elliptic curve 9735j2

-3	5	-11
29205g2	48675g2	107085s2

---

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