Cremona's table of elliptic curves

10032 = 2⁴ · 3 · 11 · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 11+ 19-	Signs for the Atkin-Lehner involutions
Conductor	10032	Conductor
Count	6	Number of curves in isogeny class
Curves	10032o1 10032o2 10032o3 10032o4 10032o5 10032o6	Curves in isogeny class
deg	6144	Modular degree for the optimal curve
Eigenvalues	2- 3- -2  0 11+ -2 -6 19-	Hecke eigenvalues for primes less than 20
L	1.3668281160702	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	1254h 40128bm 30096bk 110352bz	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for isogeny class 10032o

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	-	0	-2	0	-2	-6	-4	8	6	12	-2	4	16	10	0	12	10	2

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Quadratic twists for isogeny class 10032o

-4	8	-3	-11
1254h	40128bm	30096bk	110352bz

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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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