Cremona's table of elliptic curves

42 = 2 · 3 · 7

Field	Data	Notes
Atkin-Lehner	2- 3+ 7+	Signs for the Atkin-Lehner involutions
Conductor	42	Conductor
Count	6	Number of curves in isogeny class
Curves	42a1 42a2 42a3 42a4 42a5 42a6	Curves in isogeny class
deg	4	Modular degree for the optimal curve
Eigenvalues	2- 3+ -2 7+ -4  6  2 -4	Hecke eigenvalues for primes less than 20
L	0.8688618643742	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	336d 1344g 126b 1050h	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 42a

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	+	-4	6	2	-4	8	-2	0	-10	-6	-4	0	6	4	6	4	8	10	0	-4	-6	-14

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Quadratic twists for isogeny class 42a

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43	-47	53
336d	1344g	126b	1050h	294c	5082i	7098b	12138bb	15162l	22218z	35322p	40362bc	57498b	70602bn	77658t	92778m	117978f

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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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