Cremona's table of elliptic curves

1170 = 2 · 3² · 5 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 13-	Signs for the Atkin-Lehner involutions
Conductor	1170	Conductor
Count	6	Number of curves in isogeny class
Curves	1170d1 1170d2 1170d3 1170d4 1170d5 1170d6	Curves in isogeny class
deg	512	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+  0 -4 13-  6  4	Hecke eigenvalues for primes less than 20
L	1.8662533162937	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	9360bn 37440cb 390b 5850bm	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1170d

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	-4	-	6	4	-8	-6	-8	-10	6	4	0	10	-4	-2	-12	-16	2	-16	12	-10	-6

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Quadratic twists for isogeny class 1170d

-4	8	-3	5	-7	13
9360bn	37440cb	390b	5850bm	57330cm	15210bn

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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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