Cremona's table of elliptic curves

1236 = 2² · 3 · 103

Field	Data	Notes
Atkin-Lehner	2- 3- 103-	Signs for the Atkin-Lehner involutions
Class	1236c	Isogeny class
Conductor	1236	Conductor
∏ cp	10	Product of Tamagawa factors cp
Δ	1557004032 = 28 · 310 · 103	Discriminant
Eigenvalues	2- 3-  0  4  4  6 -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-468,-3564]	[a1,a2,a3,a4,a6]
j	44376082000/6082047	j-invariant
L	2.5889876565179	L(r)(E,1)/r!
Ω	1.0355950626072	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	4944c2 19776d2 3708b2 30900b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1236c2

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

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Quadratic twists for elliptic curve 1236c2

-4	8	-3	5	-7	-103
4944c2	19776d2	3708b2	30900b2	60564c2	127308c2

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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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