Cremona's table of elliptic curves

3472 = 2⁴ · 7 · 31

Field	Data	Notes
Atkin-Lehner	2- 7+ 31+	Signs for the Atkin-Lehner involutions
Conductor	3472	Conductor
Count	3	Number of curves in isogeny class
Curves	3472d1 3472d2 3472d3	Curves in isogeny class
deg	1152	Modular degree for the optimal curve
Eigenvalues	2- -1  3 7+  0 -4 -6 -2	Hecke eigenvalues for primes less than 20
L	1.4301346805384	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	434b 13888m 31248bl 86800bq	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 3472d

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	3	+	0	-4	-6	-2	3	3	+	2	12	10	-3	6	0	8	13	12	11	1	9	-9	8

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Quadratic twists for isogeny class 3472d

-4	8	-3	5	-7	-31
434b	13888m	31248bl	86800bq	24304v	107632g

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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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