Cremona's table of elliptic curves

5082 = 2 · 3 · 7 · 11²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 7- 11-	Signs for the Atkin-Lehner involutions
Conductor	5082	Conductor
Count	6	Number of curves in isogeny class
Curves	5082i1 5082i2 5082i3 5082i4 5082i5 5082i6	Curves in isogeny class
deg	5120	Modular degree for the optimal curve
Eigenvalues	2+ 3+ -2 7- 11- -6 -2  4	Hecke eigenvalues for primes less than 20
L	2.0115011442453	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	40656co 15246bs 127050hk 35574bg	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 5082i

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

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Quadratic twists for isogeny class 5082i

-4	-3	5	-7	-11
40656co	15246bs	127050hk	35574bg	42a

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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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