Cremona's table of elliptic curves

3752 = 2³ · 7 · 67

Field	Data	Notes
Atkin-Lehner	2+ 7- 67-	Signs for the Atkin-Lehner involutions
Class	3752f	Isogeny class
Conductor	3752	Conductor
∏ cp	10	Product of Tamagawa factors cp
deg	640	Modular degree for the optimal curve
Δ	18017104 = 24 · 75 · 67	Discriminant
Eigenvalues	2+  1  1 7-  0  3 -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-75,122]	[a1,a2,a3,a4,a6]
Generators	[1:7:1]	Generators of the group modulo torsion
j	2955053056/1126069	j-invariant
L	4.3819285064882	L(r)(E,1)/r!
Ω	1.9904554377822	Real period
R	0.22014702883128	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	7504c1 30016q1 33768w1 93800r1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3752f1

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	1	-	0	3	-6	0	-9	-3	-5	-11	3	2	-10	14	0	-2	-	7	-10	8	14	8	-18

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Quadratic twists for elliptic curve 3752f1

-4	8	-3	5	-7
7504c1	30016q1	33768w1	93800r1	26264i1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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