Cremona's table of elliptic curves

1869 = 3 · 7 · 89

Field	Data	Notes
Atkin-Lehner	3+ 7- 89+	Signs for the Atkin-Lehner involutions
Conductor	1869	Conductor
Count	4	Number of curves in isogeny class
Curves	1869b1 1869b2 1869b3 1869b4	Curves in isogeny class
deg	1224	Modular degree for the optimal curve
Eigenvalues	-1 3+  2 7-  4  2  6  4	Hecke eigenvalues for primes less than 20
L	1.2954267377643	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	29904d 119616o 5607e 46725o	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1869b

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

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Quadratic twists for isogeny class 1869b

-4	8	-3	5	-7
29904d	119616o	5607e	46725o	13083i

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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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