Cremona's table of elliptic curves

3045 = 3 · 5 · 7 · 29

Field	Data	Notes
Atkin-Lehner	3- 5- 7+ 29-	Signs for the Atkin-Lehner involutions
Class	3045i	Isogeny class
Conductor	3045	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	940383163125 = 32 · 54 · 78 · 29	Discriminant
Eigenvalues	1 3- 5- 7+  0 -2 -2  8	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-2643,-23819]	[a1,a2,a3,a4,a6]
j	2040699095041321/940383163125	j-invariant
L	2.7834145194138	L(r)(E,1)/r!
Ω	0.69585362985345	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	48720bu4 9135d3 15225e3 21315b4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 3045i3

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

---

Quadratic twists for elliptic curve 3045i3

-4	-3	5	-7	29
48720bu4	9135d3	15225e3	21315b4	88305f4

---

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