Cremona's table of elliptic curves

5040 = 2⁴ · 3² · 5 · 7

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7+	Signs for the Atkin-Lehner involutions
Conductor	5040	Conductor
Count	6	Number of curves in isogeny class
Curves	5040i1 5040i2 5040i3 5040i4 5040i5 5040i6	Curves in isogeny class
deg	4096	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+ 7+  4 -2  6 -4	Hecke eigenvalues for primes less than 20
L	1.7643605259902	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	2520g 20160ew 1680h 25200bs	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 5040i

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

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Quadratic twists for isogeny class 5040i

-4	8	-3	5	-7
2520g	20160ew	1680h	25200bs	35280cl

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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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