Cremona's table of elliptic curves

840 = 2³ · 3 · 5 · 7

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 7+	Signs for the Atkin-Lehner involutions
Conductor	840	Conductor
Count	4	Number of curves in isogeny class
Curves	840a1 840a2 840a3 840a4	Curves in isogeny class
deg	192	Modular degree for the optimal curve
Eigenvalues	2+ 3+ 5+ 7+  4 -2 -6  0	Hecke eigenvalues for primes less than 20
L	1.9611172164749	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	1680g 6720bb 2520r 4200ba	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 840a

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

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Quadratic twists for isogeny class 840a

-4	8	-3	5	-7	-11
1680g	6720bb	2520r	4200ba	5880p	101640bv

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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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