Cremona's table of elliptic curves

1170 = 2 · 3² · 5 · 13

Class	r	Atkin-Lehner	Eigenvalues
1170a (2 curves)	0	2+ 3+ 5- 13+	2+ 3+ 5-  2 -4 13+  4  6
Curve Equation t 1170a1 [1,-1,0,16806,493108] 2 1170a2 [1,-1,0,-79194,4313908] 2
1170b (4 curves)	1	2+ 3+ 5- 13-	2+ 3+ 5- -4  0 13-  6 -4
Curve Equation t Generators 1170b1 [1,-1,0,-249,1593] 6 [-8:59:1] 1170b2 [1,-1,0,-3999,98343] 6 [-51:435:1] 1170b3 [1,-1,0,876,7568] 2 [19:166:1] 1170b4 [1,-1,0,-4524,71288] 2 [-71:211:1]
1170c (4 curves)	1	2+ 3- 5+ 13-	2+ 3- 5+  0  0 13- -2 -8
Curve Equation t Generators 1170c1 [1,-1,0,-60,80] 2 [1:4:1] 1170c2 [1,-1,0,-780,8576] 4 [7:55:1] 1170c3 [1,-1,0,-12480,539756] 2 [65:-29:1] 1170c4 [1,-1,0,-600,12500] 2 [-2:118:1]
1170d (6 curves)	1	2+ 3- 5+ 13-	2+ 3- 5+  0 -4 13-  6  4
Curve Equation t Generators 1170d1 [1,-1,0,135,-275] 2 [5:20:1] 1170d2 [1,-1,0,-585,-1859] 4 [-13:65:1] 1170d3 [1,-1,0,-7605,-253175] 2 [-49:29:1] 1170d4 [1,-1,0,-5085,139441] 4 [-43:548:1] 1170d5 [1,-1,0,-81135,8915611] 2 [165:-76:1] 1170d6 [1,-1,0,-1035,352471] 2 [-33:608:1]
1170e (2 curves)	1	2+ 3- 5- 13+	2+ 3- 5-  2 -4 13+ -8 -6
Curve Equation t Generators 1170e1 [1,-1,0,36,220] 2 [-1:14:1] 1170e2 [1,-1,0,-414,3010] 2 [-1:59:1]
1170f (2 curves)	1	2+ 3- 5- 13+	2+ 3- 5- -4  2 13+ -2  6
Curve Equation t Generators 1170f1 [1,-1,0,-7569,255325] 2 [41:92:1] 1170f2 [1,-1,0,-6849,305293] 2 [-18:659:1]
1170g (4 curves)	0	2+ 3- 5- 13-	2+ 3- 5-  2  0 13-  0  2
Curve Equation t 1170g1 [1,-1,0,-54,-972] 2 1170g2 [1,-1,0,-1854,-30132] 2 1170g3 [1,-1,0,486,25920] 6 1170g4 [1,-1,0,-10764,410670] 6
1170h (2 curves)	0	2- 3+ 5+ 13+	2- 3+ 5+  2  4 13+ -4  6
Curve Equation t 1170h1 [1,-1,1,151252,-13465169] 2 1170h2 [1,-1,1,-712748,-115762769] 2
1170i (4 curves)	1	2- 3+ 5+ 13-	2- 3+ 5+ -4  0 13- -6 -4
Curve Equation t Generators 1170i1 [1,-1,1,97,-313] 6 [13:48:1] 1170i2 [1,-1,1,-503,-2473] 6 [25:-2:1] 1170i3 [1,-1,1,-2243,-40769] 2 [926:8443:8] 1170i4 [1,-1,1,-35993,-2619269] 2 [49002:174821:216]
1170j (2 curves)	1	2- 3- 5+ 13+	2- 3- 5+ -2 -4 13+ -4 -2
Curve Equation t Generators 1170j1 [1,-1,1,-473,4281] 2 [23:-84:1] 1170j2 [1,-1,1,-7673,260601] 2 [41:96:1]
1170k (4 curves)	0	2- 3- 5+ 13-	2- 3- 5+  2  0 13-  0  2
Curve Equation t 1170k1 [1,-1,1,35977,-107953] 2 1170k2 [1,-1,1,-144023,-755953] 2 1170k3 [1,-1,1,-480398,138365597] 6 1170k4 [1,-1,1,-7853198,8472578717] 6
1170l (4 curves)	0	2- 3- 5+ 13-	2- 3- 5+ -4  6 13-  6  2
Curve Equation t 1170l1 [1,-1,1,-293,-1843] 2 1170l2 [1,-1,1,-113,-4219] 2 1170l3 [1,-1,1,-1868,30287] 6 1170l4 [1,-1,1,1012,113231] 6
1170m (4 curves)	0	2- 3- 5- 13+	2- 3- 5-  0  0 13+  6  0
Curve Equation t 1170m1 [1,-1,1,-122,-471] 2 1170m2 [1,-1,1,-302,1401] 4 1170m3 [1,-1,1,-4352,111561] 2 1170m4 [1,-1,1,868,8889] 2
1170n (4 curves)	0	2- 3- 5- 13+	2- 3- 5-  4  0 13+  2  4
Curve Equation t 1170n1 [1,-1,1,-2597,-83491] 4 1170n2 [1,-1,1,-48677,-4120099] 4 1170n3 [1,-1,1,-778757,-264320611] 2 1170n4 [1,-1,1,-55877,-2815459] 2

Data from Elliptic Curve Data by J. E. Cremona.
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