Cremona's table of elliptic curves

1176 = 2³ · 3 · 7²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 7-	Signs for the Atkin-Lehner involutions
Class	1176b	Isogeny class
Conductor	1176	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	240	Modular degree for the optimal curve
Δ	-24385536 = -1 · 211 · 35 · 72	Discriminant
Eigenvalues	2+ 3+  1 7-  3 -4  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,40,204]	[a1,a2,a3,a4,a6]
j	68782/243	j-invariant
L	1.5100554568801	L(r)(E,1)/r!
Ω	1.5100554568801	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	2352h1 9408bc1 3528v1 29400ee1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1176b1

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	-	3	-4	0	4	8	-3	5	8	-8	6	-10	9	5	10	6	10	-2	11	-7	18	17

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Quadratic twists for elliptic curve 1176b1

-4	8	-3	5	-7
2352h1	9408bc1	3528v1	29400ee1	1176d1

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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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