Cremona's table of elliptic curves

19635 = 3 · 5 · 7 · 11 · 17

Class	r	Atkin-Lehner	Eigenvalues
19635a (4 curves)	1	3+ 5+ 7+ 11+ 17+	1 3+ 5+ 7+ 11+  2 17+ -8
Curve Equation t Generators 19635a1 [1,1,0,712,-1437] 2 [258:4047:1] 19635a2 [1,1,0,-2933,-15288] 4 [-8:92:1] 19635a3 [1,1,0,-36008,-2641443] 2 [8342:260553:8] 19635a4 [1,1,0,-28178,1797303] 2 [854:705:8]
19635b (4 curves)	0	3+ 5+ 7+ 11+ 17-	-1 3+ 5+ 7+ 11+ -2 17- -8
Curve Equation t 19635b1 [1,1,1,-9077536,-6639202336] 4 19635b2 [1,1,1,-129765381,-568899734622] 4 19635b3 [1,1,1,-2076124026,-36411483454026] 2 19635b4 [1,1,1,-114412256,-708576324622] 2
19635c (1 curve)	0	3+ 5+ 7+ 11+ 17-	2 3+ 5+ 7+ 11+ -2 17-  1
Curve Equation t 19635c1 [0,-1,1,-49406,4261031] 1
19635d (1 curve)	2	3+ 5+ 7+ 11+ 17-	-2 3+ 5+ 7+ 11+  3 17- -4
Curve Equation t Generators 19635d1 [0,-1,1,254,702] 1 [-2:13:1]&[3:38:1]
19635e (2 curves)	0	3+ 5+ 7+ 11- 17+	1 3+ 5+ 7+ 11- -2 17+ -2
Curve Equation t 19635e1 [1,1,0,-7948,-270917] 2 19635e2 [1,1,0,627,-814572] 2
19635f (1 curve)	0	3+ 5+ 7+ 11- 17+	2 3+ 5+ 7+ 11- -6 17+ -1
Curve Equation t 19635f1 [0,-1,1,37564,-3137083] 1
19635g (1 curve)	0	3+ 5+ 7- 11+ 17+	-2 3+ 5+ 7- 11+ -2 17+  1
Curve Equation t 19635g1 [0,-1,1,-39786,4167392] 1
19635h (2 curves)	0	3+ 5+ 7- 11- 17-	1 3+ 5+ 7- 11-  2 17-  6
Curve Equation t 19635h1 [1,1,0,-93,288] 2 19635h2 [1,1,0,82,1443] 2
19635i (4 curves)	0	3+ 5- 7+ 11+ 17+	1 3+ 5- 7+ 11+ -6 17+  8
Curve Equation t 19635i1 [1,1,0,-124757,-16657224] 2 19635i2 [1,1,0,-277882,32067151] 4 19635i3 [1,1,0,-3892507,2953407076] 2 19635i4 [1,1,0,886743,232149726] 2
19635j (4 curves)	1	3+ 5- 7+ 11+ 17-	1 3+ 5- 7+ 11+ -6 17- -4
Curve Equation t Generators 19635j1 [1,1,0,-13247,375456] 2 [160:1464:1] 19635j2 [1,1,0,-86452,-9536501] 4 [-162:581:1] 19635j3 [1,1,0,-1372077,-619179876] 2 [-5410:2819:8] 19635j4 [1,1,0,27893,-32794274] 4 [4638:104611:8]
19635k (2 curves)	1	3+ 5- 7+ 11- 17+	-1 3+ 5- 7+ 11-  0 17+  2
Curve Equation t Generators 19635k1 [1,1,1,-825,-21858] 2 [62:381:1] 19635k2 [1,1,1,-17700,-912858] 2 [-78:66:1]
19635l (4 curves)	1	3+ 5- 7- 11+ 17+	1 3+ 5- 7- 11+  2 17+ -4
Curve Equation t Generators 19635l1 [1,1,0,-5162,-144921] 2 [3666:33167:27] 19635l2 [1,1,0,-5287,-137696] 4 [508:11086:1] 19635l3 [1,1,0,-18762,829809] 2 [32820:703113:64] 19635l4 [1,1,0,6188,-640301] 2 [4030:89419:8]
19635m (6 curves)	0	3+ 5- 7- 11+ 17-	-1 3+ 5- 7- 11+ -2 17-  4
Curve Equation t 19635m1 [1,1,1,2180,20252] 4 19635m2 [1,1,1,-9825,159510] 8 19635m3 [1,1,1,-80630,-8733598] 4 19635m4 [1,1,1,-131100,18205230] 4 19635m5 [1,1,1,-1285505,-561530248] 2 19635m6 [1,1,1,-8635,-23679760] 2
19635n (4 curves)	0	3+ 5- 7- 11+ 17-	-1 3+ 5- 7- 11+  6 17-  0
Curve Equation t 19635n1 [1,1,1,-420,-3180] 4 19635n2 [1,1,1,-6545,-206530] 4 19635n3 [1,1,1,-104720,-13087090] 2 19635n4 [1,1,1,-6370,-217870] 2
19635o (4 curves)	0	3+ 5- 7- 11+ 17-	-1 3+ 5- 7- 11+ -6 17-  0
Curve Equation t 19635o1 [1,1,1,-72034015,228897524780] 2 19635o2 [1,1,1,-1143828420,14889330114132] 4 19635o3 [1,1,1,-18301250295,952940487770382] 4 19635o4 [1,1,1,-1135117025,15127294064510] 2
19635p (1 curve)	2	3+ 5- 7- 11+ 17-	-2 3+ 5- 7- 11+ -5 17- -8
Curve Equation t Generators 19635p1 [0,-1,1,-21000,1189406] 1 [-165:367:1]&[-120:1402:1]
19635q (4 curves)	1	3- 5+ 7+ 11+ 17-	-1 3- 5+ 7+ 11+ -2 17- -4
Curve Equation t Generators 19635q1 [1,0,0,-1546,47075] 2 [-1:221:1] 19635q2 [1,0,0,-31191,2116296] 4 [-15:1614:1] 19635q3 [1,0,0,-37736,1162035] 2 [-26:1471:1] 19635q4 [1,0,0,-498966,135619281] 2 [408:-195:1]
19635r (4 curves)	0	3- 5+ 7- 11- 17+	1 3- 5+ 7- 11- -6 17+  4
Curve Equation t 19635r1 [1,0,1,-309,-2093] 2 19635r2 [1,0,1,-554,1631] 4 19635r3 [1,0,1,-7099,229397] 2 19635r4 [1,0,1,2071,13181] 2
19635s (1 curve)	0	3- 5+ 7- 11- 17+	2 3- 5+ 7- 11- -3 17+  4
Curve Equation t 19635s1 [0,1,1,-756,-9529] 1
19635t (8 curves)	0	3- 5- 7+ 11+ 17-	-1 3- 5- 7+ 11+ -2 17-  4
Curve Equation t 19635t1 [1,0,0,-894620,325616655] 4 19635t2 [1,0,0,-894625,325612832] 8 19635t3 [1,0,0,-927430,300438275] 8 19635t4 [1,0,0,-861900,350542737] 4 19635t5 [1,0,0,-3853555,-2608715200] 4 19635t6 [1,0,0,1473815,1598551322] 8 19635t7 [1,0,0,-59855380,-178241638765] 2 19635t8 [1,0,0,5330270,-13149909535] 2
19635u (1 curve)	0	3- 5- 7+ 11+ 17-	2 3- 5- 7+ 11+ -2 17-  1
Curve Equation t 19635u1 [0,1,1,0,-61] 1
19635v (4 curves)	1	3- 5- 7+ 11- 17-	-1 3- 5- 7+ 11-  2 17-  0
Curve Equation t Generators 19635v1 [1,0,0,225,0] 4 [60:450:1] 19635v2 [1,0,0,-900,-225] 4 [-25:95:1] 19635v3 [1,0,0,-9975,-383190] 2 [-58:62:1] 19635v4 [1,0,0,-9825,372840] 2 [332:5642:1]
19635w (2 curves)	0	3- 5- 7- 11+ 17+	1 3- 5- 7- 11+ -2 17+  2
Curve Equation t 19635w1 [1,0,1,-1123,9353] 2 19635w2 [1,0,1,3252,65353] 2
19635x (2 curves)	0	3- 5- 7- 11+ 17+	-1 3- 5- 7- 11+ -2 17+ -6
Curve Equation t 19635x1 [1,0,0,-975860,370965975] 2 19635x2 [1,0,0,-971485,374458100] 2

Data from Elliptic Curve Data by J. E. Cremona.
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Part of Computational Number Theory
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