Cremona's table of elliptic curves

2652 = 2² · 3 · 13 · 17

Field	Data	Notes
Atkin-Lehner	2- 3+ 13+ 17-	Signs for the Atkin-Lehner involutions
Conductor	2652	Conductor
Count	2	Number of curves in isogeny class
Curves	2652b1 2652b2	Curves in isogeny class
deg	864	Modular degree for the optimal curve
Eigenvalues	2- 3+  2 -4  2 13+ 17-  2	Hecke eigenvalues for primes less than 20
L	2.8808124449853	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	10608w 42432bg 7956b 66300bb	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 2652b

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
-	+	2	-4	2	+	-	2	-8	2	4	8	-10	0	-8	-2	0	6	-10	6	-16	-16	-12	-4	12

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Quadratic twists for isogeny class 2652b

-4	8	-3	5	-7	13	17
10608w	42432bg	7956b	66300bb	129948bg	34476f	45084k

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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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