Cremona's table of elliptic curves

9912 = 2³ · 3 · 7 · 59

Field	Data	Notes
Atkin-Lehner	2+ 3+ 7+ 59-	Signs for the Atkin-Lehner involutions
Conductor	9912	Conductor
Count	4	Number of curves in isogeny class
Curves	9912b1 9912b2 9912b3 9912b4	Curves in isogeny class
deg	3072	Modular degree for the optimal curve
Eigenvalues	2+ 3+ -2 7+  0  2 -6  4	Hecke eigenvalues for primes less than 20
L	0.80464168801396	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	19824k 79296q 29736n 69384k	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for isogeny class 9912b

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	+	0	2	-6	4	4	-2	-8	-2	10	-8	0	6	-	10	0	-16	-10	0	4	6	-2

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Quadratic twists for isogeny class 9912b

-4	8	-3	-7
19824k	79296q	29736n	69384k

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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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