Cremona's table of elliptic curves

34710 = 2 · 3 · 5 · 13 · 89

Class	r	Atkin-Lehner	Eigenvalues
34710a (1 curve)	1	2+ 3+ 5+ 13+ 89+	2+ 3+ 5+  1  2 13+ -2 -1
Curve Equation t Generators 34710a1 [1,1,0,68932,10311888] 1 [1654:45445:8]
34710b (2 curves)	1	2+ 3+ 5+ 13+ 89+	2+ 3+ 5+  2 -4 13+  6 -2
Curve Equation t Generators 34710b1 [1,1,0,-3673,-74267] 2 [-41:118:1] 34710b2 [1,1,0,-16473,737253] 2 [113:522:1]
34710c (1 curve)	1	2+ 3+ 5+ 13+ 89+	2+ 3+ 5+  3  6 13+  0  3
Curve Equation t Generators 34710c1 [1,1,0,-13793,1510197] 1 [-1:1235:1]
34710d (4 curves)	2	2+ 3+ 5+ 13+ 89-	2+ 3+ 5+  0 -4 13+  2  4
Curve Equation t Generators 34710d1 [1,1,0,-1848,-24768] 2 [-33:57:1]&[-194:743:8] 34710d2 [1,1,0,-27768,-1792512] 4 [-97:57:1]&[296:3856:1] 34710d3 [1,1,0,-25968,-2032632] 2 [213:1362:1]&[263:2937:1] 34710d4 [1,1,0,-444288,-114169608] 2 [1021:21802:1]&[1097:26286:1]
34710e (4 curves)	0	2+ 3+ 5+ 13- 89+	2+ 3+ 5+  0  0 13- -2  4
Curve Equation t 34710e1 [1,1,0,276142,-154376652] 2 34710e2 [1,1,0,-3184978,-1960389068] 4 34710e3 [1,1,0,-12282898,14486830708] 2 34710e4 [1,1,0,-49464978,-133923181068] 2
34710f (1 curve)	1	2+ 3+ 5- 13- 89+	2+ 3+ 5-  3 -6 13- -2 -5
Curve Equation t Generators 34710f1 [1,1,0,-1577,26541] 1 [77:569:1]
34710g (1 curve)	0	2+ 3+ 5- 13- 89-	2+ 3+ 5- -1 -2 13-  6 -6
Curve Equation t 34710g1 [1,1,0,-2892,-61104] 1
34710h (2 curves)	0	2+ 3+ 5- 13- 89-	2+ 3+ 5- -4  4 13-  0 -6
Curve Equation t 34710h1 [1,1,0,1272098,-623089676] 2 34710h2 [1,1,0,-7841502,-6093072396] 2
34710i (1 curve)	0	2+ 3- 5+ 13+ 89+	2+ 3- 5+  1 -4 13+  2 -1
Curve Equation t 34710i1 [1,0,1,-19529,-1066444] 1
34710j (4 curves)	1	2+ 3- 5+ 13+ 89-	2+ 3- 5+  0  0 13+ -2  0
Curve Equation t Generators 34710j1 [1,0,1,-607049,184279052] 2 [699:9730:1] 34710j2 [1,0,1,-9746569,11711041676] 4 [958:56558:1] 34710j3 [1,0,1,-9780369,11625716956] 2 [279130:3655911:125] 34710j4 [1,0,1,-155945089,749545732412] 2 [7366:19379:1]
34710k (4 curves)	1	2+ 3- 5+ 13+ 89-	2+ 3- 5+  0  4 13+ -6 -4
Curve Equation t Generators 34710k1 [1,0,1,-27119,1716626] 2 [104:102:1] 34710k2 [1,0,1,-27139,1713962] 4 [10:1196:1] 34710k3 [1,0,1,-15889,3149462] 2 [198:2689:1] 34710k4 [1,0,1,-38709,108046] 2 [-16:858:1]
34710l (2 curves)	1	2+ 3- 5+ 13- 89+	2+ 3- 5+  2 -2 13-  6  4
Curve Equation t Generators 34710l1 [1,0,1,-109,-424] 2 [-6:7:1] 34710l2 [1,0,1,71,-1648] 2 [13:32:1]
34710m (2 curves)	0	2+ 3- 5+ 13- 89-	2+ 3- 5+  5  6 13-  0  5
Curve Equation t 34710m1 [1,0,1,-2854,171746] 3 34710m2 [1,0,1,25181,-4156858] 1
34710n (2 curves)	1	2+ 3- 5- 13+ 89+	2+ 3- 5-  4 -4 13+ -4 -4
Curve Equation t Generators 34710n1 [1,0,1,317,-8194] 2 [40:242:1] 34710n2 [1,0,1,-4683,-114194] 2 [-40:117:1]
34710o (1 curve)	0	2+ 3- 5- 13+ 89-	2+ 3- 5- -2  0 13+  7  0
Curve Equation t 34710o1 [1,0,1,-119408,-15903682] 1
34710p (1 curve)	0	2+ 3- 5- 13+ 89-	2+ 3- 5-  3 -2 13+  0  5
Curve Equation t 34710p1 [1,0,1,-508,-4444] 1
34710q (1 curve)	0	2+ 3- 5- 13+ 89-	2+ 3- 5-  5  2 13+  6 -3
Curve Equation t 34710q1 [1,0,1,1507,18488] 1
34710r (2 curves)	0	2+ 3- 5- 13- 89+	2+ 3- 5-  2  0 13- -3 -4
Curve Equation t 34710r1 [1,0,1,437,-844] 3 34710r2 [1,0,1,-6988,-233854] 1
34710s (2 curves)	0	2- 3+ 5+ 13+ 89+	2- 3+ 5+  2 -4 13+ -6  4
Curve Equation t 34710s1 [1,1,1,-379141,-90488437] 2 34710s2 [1,1,1,-6075141,-5765982837] 2
34710t (1 curve)	1	2- 3+ 5+ 13+ 89-	2- 3+ 5+  3  2 13+ -4  1
Curve Equation t Generators 34710t1 [1,1,1,64,-1951] 1 [21:-107:1]
34710u (2 curves)	1	2- 3+ 5+ 13- 89+	2- 3+ 5+  0  0 13- -8  4
Curve Equation t Generators 34710u1 [1,1,1,-21261,1198083] 2 [81:-166:1] 34710u2 [1,1,1,-341261,76590083] 2 [327:148:1]
34710v (1 curve)	1	2- 3+ 5- 13+ 89+	2- 3+ 5-  1  0 13+  6 -5
Curve Equation t Generators 34710v1 [1,1,1,25,317] 1 [-3:16:1]
34710w (2 curves)	1	2- 3+ 5- 13+ 89+	2- 3+ 5- -2  0 13+  6 -2
Curve Equation t Generators 34710w1 [1,1,1,-1778695,159337145] 2 [18623:-2544312:1] 34710w2 [1,1,1,-21309945,37792149645] 2 [22734:99879:8]
34710x (4 curves)	1	2- 3+ 5- 13+ 89+	2- 3+ 5- -4  4 13+ -2 -4
Curve Equation t Generators 34710x1 [1,1,1,-6085,67787] 2 [-73:396:1] 34710x2 [1,1,1,-52165,-4558645] 4 [-137:268:1] 34710x3 [1,1,1,-9445,-11752693] 2 [397:6676:1] 34710x4 [1,1,1,-832165,-292534645] 2 [-527:268:1]
34710y (2 curves)	0	2- 3+ 5- 13- 89+	2- 3+ 5-  2  0 13-  2  6
Curve Equation t 34710y1 [1,1,1,-25465,-1574653] 2 34710y2 [1,1,1,-26715,-1413153] 2
34710z (8 curves)	1	2- 3+ 5- 13- 89-	2- 3+ 5-  0 -4 13-  2 -4
Curve Equation t Generators 34710z1 [1,1,1,23350,4446167] 4 [77:2551:1] 34710z2 [1,1,1,-304330,58709975] 8 [-607:4803:1] 34710z3 [1,1,1,-1104330,-382250025] 8 [-767:4163:1] 34710z4 [1,1,1,-4747210,3979107287] 4 [1567:18991:1] 34710z5 [1,1,1,1937670,-2112539625] 4 [923:21063:1] 34710z6 [1,1,1,-16946330,-26857400425] 4 [6355:346325:1] 34710z7 [1,1,1,-16225430,-29245597945] 2 [2174095:119019515:343] 34710z8 [1,1,1,-271139230,-1718561988505] 2 [1028415:176980943:27]
34710ba (2 curves)	1	2- 3+ 5- 13- 89-	2- 3+ 5- -2 -2 13-  2  4
Curve Equation t Generators 34710ba1 [1,1,1,-12287645,16498302707] 2 [1847:9476:1] 34710ba2 [1,1,1,-5652125,34257608435] 2 [-3417:118708:1]
34710bb (1 curve)	1	2- 3+ 5- 13- 89-	2- 3+ 5- -3  2 13- -4 -7
Curve Equation t Generators 34710bb1 [1,1,1,-1085,14195] 1 [45:220:1]
34710bc (2 curves)	1	2- 3- 5+ 13+ 89+	2- 3- 5+  4 -4 13+ -4  6
Curve Equation t Generators 34710bc1 [1,0,0,-586,-5740] 2 [38:146:1] 34710bc2 [1,0,0,-9486,-356400] 2 [216:2664:1]
34710bd (1 curve)	0	2- 3- 5+ 13+ 89-	2- 3- 5+  1  0 13+  2 -3
Curve Equation t 34710bd1 [1,0,0,-26001,-1615959] 1
34710be (1 curve)	0	2- 3- 5+ 13- 89+	2- 3- 5+ -1 -2 13-  6 -1
Curve Equation t 34710be1 [1,0,0,-871,-10309] 1
34710bf (2 curves)	0	2- 3- 5+ 13- 89+	2- 3- 5+  2  4 13-  6  8
Curve Equation t 34710bf1 [1,0,0,-36491,2827725] 2 34710bf2 [1,0,0,-592741,175598975] 2
34710bg (2 curves)	0	2- 3- 5+ 13- 89+	2- 3- 5+ -2  0 13-  8  6
Curve Equation t 34710bg1 [1,0,0,-75411,-33070815] 2 34710bg2 [1,0,0,-2075411,-1147870815] 2

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