Cremona's table of elliptic curves

2002 = 2 · 7 · 11 · 13

Field	Data	Notes
Atkin-Lehner	2+ 7- 11- 13-	Signs for the Atkin-Lehner involutions
Conductor	2002	Conductor
Count	4	Number of curves in isogeny class
Curves	2002b1 2002b2 2002b3 2002b4	Curves in isogeny class
deg	192	Modular degree for the optimal curve
Eigenvalues	2+  0  2 7- 11- 13-  2 -4	Hecke eigenvalues for primes less than 20
L	1.4990295361451	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	16016g 64064k 18018bo 50050bj	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 2002b

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	2	-	-	-	2	-4	0	6	8	6	2	8	0	-10	4	-2	4	8	10	4	4	-2	-18

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Quadratic twists for isogeny class 2002b

-4	8	-3	5	-7	-11	13
16016g	64064k	18018bo	50050bj	14014d	22022m	26026i

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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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