Cremona's table of elliptic curves

63 = 3² · 7

Field	Data	Notes
Atkin-Lehner	3- 7+	Signs for the Atkin-Lehner involutions
Conductor	63	Conductor
Count	6	Number of curves in isogeny class
Curves	63a1 63a2 63a3 63a4 63a5 63a6	Curves in isogeny class
deg	4	Modular degree for the optimal curve
Eigenvalues	1 3-  2 7+ -4 -2  6  4	Hecke eigenvalues for primes less than 20
L	1.1033104643357	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	1008k 4032h 21a 1575g	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 63a

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	-	2	+	-4	-2	6	4	0	2	0	6	-2	-4	0	-6	-12	-2	4	0	-6	-16	12	14	18

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Quadratic twists for isogeny class 63a

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43
1008k	4032h	21a	1575g	441c	7623p	10647f	18207e	22743n	33327m	52983a	60543g	86247g	105903i	116487m

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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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