Cremona's table of elliptic curves

870 = 2 · 3 · 5 · 29

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 29-	Signs for the Atkin-Lehner involutions
Conductor	870	Conductor
Count	4	Number of curves in isogeny class
Curves	870a1 870a2 870a3 870a4	Curves in isogeny class
deg	192	Modular degree for the optimal curve
Eigenvalues	2+ 3+ 5-  0  0 -6 -2 -4	Hecke eigenvalues for primes less than 20
L	1.6315300055282	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	6960bl 27840bg 2610k 4350u	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 870a

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
+	+	-	0	0	-6	-2	-4	4	-	4	-6	-2	-12	0	-2	4	-6	0	0	-10	4	-12	-2	6

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Quadratic twists for isogeny class 870a

-4	8	-3	5	-7	-11	29
6960bl	27840bg	2610k	4350u	42630bl	105270bo	25230z

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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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