Cremona's table of elliptic curves

1645 = 5 · 7 · 47

Field	Data	Notes
Atkin-Lehner	5+ 7+ 47-	Signs for the Atkin-Lehner involutions
Conductor	1645	Conductor
Count	2	Number of curves in isogeny class
Curves	1645a1 1645a2	Curves in isogeny class
deg	88	Modular degree for the optimal curve
Eigenvalues	1  0 5+ 7+  6  2 -4  4	Hecke eigenvalues for primes less than 20
L	1.6809098624556	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	26320h 105280n 14805k 8225c	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1645a

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
1	0	+	+	6	2	-4	4	-4	6	4	6	10	-8	-	2	6	-2	8	12	2	-4	0	6	12

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Quadratic twists for isogeny class 1645a

-4	8	-3	5	-7	-47
26320h	105280n	14805k	8225c	11515h	77315d

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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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