Cremona's table of elliptic curves

1050 = 2 · 3 · 5² · 7

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7-	Signs for the Atkin-Lehner involutions
Class	1050h	Isogeny class
Conductor	1050	Conductor
∏ cp	256	Product of Tamagawa factors cp
Δ	984560062500 = 22 · 38 · 56 · 74	Discriminant
Eigenvalues	2+ 3- 5+ 7- -4 -6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-2601,17848]	[a1,a2,a3,a4,a6]
Generators	[182:-2454:1]	Generators of the group modulo torsion
j	124475734657/63011844	j-invariant
L	2.1683500451392	L(r)(E,1)/r!
Ω	0.77713367671917	Real period
R	0.17438682929471	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	8400bl4 33600ba3 3150bl4 42a3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1050h3

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

---

Quadratic twists for elliptic curve 1050h3

-4	8	-3	5	-7	-11
8400bl4	33600ba3	3150bl4	42a3	7350i4	127050hk3

---

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