Cremona's table of elliptic curves

10710 = 2 · 3² · 5 · 7 · 17

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 7- 17-	Signs for the Atkin-Lehner involutions
Conductor	10710	Conductor
Count	4	Number of curves in isogeny class
Curves	10710o1 10710o2 10710o3 10710o4	Curves in isogeny class
deg	8192	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5- 7- -4 -2 17-  8	Hecke eigenvalues for primes less than 20
L	3.5675769837183	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	85680fj 3570w 53550dn 74970v	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 10710o

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

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Quadratic twists for isogeny class 10710o

-4	-3	5	-7
85680fj	3570w	53550dn	74970v

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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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