Cremona's table of elliptic curves

196 = 2² · 7²

Field	Data	Notes
Atkin-Lehner	2- 7+	Signs for the Atkin-Lehner involutions
Conductor	196	Conductor
Count	2	Number of curves in isogeny class
Curves	196b1 196b2	Curves in isogeny class
deg	42	Modular degree for the optimal curve
Eigenvalues	2-  1  3 7+ -3  2  3 -1	Hecke eigenvalues for primes less than 20
L	1.5672749721049	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	784g 3136b 1764e 4900a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 196b

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	+	-3	2	3	-1	3	-6	-7	-1	6	-4	-9	3	9	-1	-7	0	-1	-13	12	15	-10

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Quadratic twists for isogeny class 196b

-4	8	-3	5	-7	-11	13	17	-19	-23
784g	3136b	1764e	4900a	196a	23716a	33124c	56644b	70756a	103684a

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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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