Cremona's table of elliptic curves

9870 = 2 · 3 · 5 · 7 · 47

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 7+ 47-	Signs for the Atkin-Lehner involutions
Conductor	9870	Conductor
Count	6	Number of curves in isogeny class
Curves	9870p1 9870p2 9870p3 9870p4 9870p5 9870p6	Curves in isogeny class
deg	266240	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5- 7+  4 -2  2 -4	Hecke eigenvalues for primes less than 20
L	3.047997245373	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	78960de 29610f 49350bd 69090bq	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 9870p

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

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Quadratic twists for isogeny class 9870p

-4	-3	5	-7
78960de	29610f	49350bd	69090bq

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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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