Cremona's table of elliptic curves

610 = 2 · 5 · 61

Field	Data	Notes
Atkin-Lehner	2+ 5- 61-	Signs for the Atkin-Lehner involutions
Conductor	610	Conductor
Count	4	Number of curves in isogeny class
Curves	610b1 610b2 610b3 610b4	Curves in isogeny class
deg	96	Modular degree for the optimal curve
Eigenvalues	2+  0 5-  0 -4 -2 -2 -4	Hecke eigenvalues for primes less than 20
L	1.6222091649525	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	4880g 19520a 5490u 3050j	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 610b

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	-	0	-4	-2	-2	-4	0	-2	0	10	-6	-4	-4	2	-12	-	4	0	2	-8	0	-14	18

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Quadratic twists for isogeny class 610b

-4	8	-3	5	-7	-11	13	61
4880g	19520a	5490u	3050j	29890b	73810o	103090k	37210e

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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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