Cremona's table of elliptic curves

82650 = 2 · 3 · 5² · 19 · 29

Class	r	Atkin-Lehner	Eigenvalues
82650a (2 curves)	1	2+ 3+ 5+ 19+ 29+	2+ 3+ 5+ -3 -3 -4  2 19+
Curve Equation t Generators 82650a1 [1,1,0,-74375,7807125] 1 [145:-385:1] 82650a2 [1,1,0,529375,-181796625] 1 [295:240:1]
82650b (6 curves)	2	2+ 3+ 5+ 19+ 29-	2+ 3+ 5+  0 -4  2 -2 19+
Curve Equation t Generators 82650b1 [1,1,0,-3625,917125] 2 [-85:830:1]&[-30:1015:1] 82650b2 [1,1,0,-165625,25703125] 4 [-375:6125:1]&[5:4985:1] 82650b3 [1,1,0,-278125,-13784375] 4 [-411:5801:1]&[-2850:52175:8] 82650b4 [1,1,0,-2645125,1654734625] 2 [939:-449:1]&[940:-395:1] 82650b5 [1,1,0,1075625,-107193125] 2 [339:17051:1]&[425:20450:1] 82650b6 [1,1,0,-3431875,-2445325625] 2 [-8418:15983:8]&[-1045:1610:1]
82650c (2 curves)	0	2+ 3+ 5+ 19- 29+	2+ 3+ 5+  1  3  4 -6 19-
Curve Equation t 82650c1 [1,1,0,-14650,-987500] 1 82650c2 [1,1,0,-1325650,-588030500] 1
82650d (4 curves)	0	2+ 3+ 5+ 19- 29+	2+ 3+ 5+  4  6  4  0 19-
Curve Equation t 82650d1 [1,1,0,58600,13440000] 2 82650d2 [1,1,0,-616400,163965000] 2 82650d3 [1,1,0,-539900,-413290500] 2 82650d4 [1,1,0,-12258650,-16503134250] 2
82650e (1 curve)	0	2+ 3+ 5- 19+ 29+	2+ 3+ 5-  3  3  0 -3 19+
Curve Equation t 82650e1 [1,1,0,-17825,-892875] 1
82650f (2 curves)	0	2+ 3+ 5- 19+ 29+	2+ 3+ 5-  4  6 -6 -6 19+
Curve Equation t 82650f1 [1,1,0,-8380,-174500] 2 82650f2 [1,1,0,-117730,-15592850] 2
82650g (1 curve)	1	2+ 3+ 5- 19+ 29-	2+ 3+ 5- -1  5 -4 -1 19+
Curve Equation t Generators 82650g1 [1,1,0,-1100,-14400] 1 [-20:20:1]
82650h (2 curves)	1	2+ 3+ 5- 19+ 29-	2+ 3+ 5-  2  2 -4  2 19+
Curve Equation t Generators 82650h1 [1,1,0,204000,-57988350] 1 [699435:-18920460:1331] 82650h2 [1,1,0,-18595075,31060022125] 1 [14485:1666420:1]
82650i (1 curve)	1	2+ 3+ 5- 19+ 29-	2+ 3+ 5- -3 -2 -1  6 19+
Curve Equation t Generators 82650i1 [1,1,0,-1535,-25275] 1 [46:41:1]
82650j (2 curves)	1	2+ 3+ 5- 19- 29+	2+ 3+ 5-  0  2 -2  2 19-
Curve Equation t Generators 82650j1 [1,1,0,-1130,14100] 2 [25:-60:1] 82650j2 [1,1,0,-1730,-3300] 2 [-5:75:1]
82650k (2 curves)	1	2+ 3+ 5- 19- 29+	2+ 3+ 5- -3  2  1  2 19-
Curve Equation t Generators 82650k1 [1,1,0,-31911950,-69400303500] 1 [1327018867442785660:-23040065488235494314:199535027462875] 82650k2 [1,1,0,27374925,-285764137875] 1 [22749038:2301243465:2197]
82650l (2 curves)	1	2+ 3+ 5- 19- 29+	2+ 3+ 5- -3 -3 -4  7 19-
Curve Equation t Generators 82650l1 [1,1,0,-170250,-27109200] 1 [-29870:15834:125] 82650l2 [1,1,0,-1270075,535532125] 1 [486:5533:1]
82650m (1 curve)	2	2+ 3+ 5- 19- 29-	2+ 3+ 5- -1  2  1 -6 19-
Curve Equation t Generators 82650m1 [1,1,0,-15,825] 1 [20:85:1]&[-4:31:1]
82650n (1 curve)	0	2+ 3+ 5- 19- 29-	2+ 3+ 5-  2 -6  4  2 19-
Curve Equation t 82650n1 [1,1,0,-121450,-21123500] 1
82650o (2 curves)	2	2+ 3- 5+ 19+ 29+	2+ 3- 5+  0 -6  0  0 19+
Curve Equation t Generators 82650o1 [1,0,1,5374,16148] 2 [42:-584:1]&[21:361:1] 82650o2 [1,0,1,-21626,124148] 2 [-132:892:1]&[-18:721:1]
82650p (1 curve)	0	2+ 3- 5+ 19+ 29+	2+ 3- 5+ -3 -5  4 -5 19+
Curve Equation t 82650p1 [1,0,1,-158756,-23082862] 1
82650q (2 curves)	1	2+ 3- 5+ 19+ 29-	2+ 3- 5+  0  0 -4  4 19+
Curve Equation t Generators 82650q1 [1,0,1,-751,398] 2 [-23:86:1] 82650q2 [1,0,1,-8001,-275102] 2 [-52:57:1]
82650r (2 curves)	1	2+ 3- 5+ 19+ 29-	2+ 3- 5+  0 -2 -2 -2 19+
Curve Equation t Generators 82650r1 [1,0,1,-82651,159428198] 2 [271:-12664:1] 82650r2 [1,0,1,-4942651,4193228198] 2 [-2258:63116:1]
82650s (4 curves)	1	2+ 3- 5+ 19+ 29-	2+ 3- 5+  0 -4 -2 -6 19+
Curve Equation t Generators 82650s1 [1,0,1,155874,-5818352] 2 [293:7917:1] 82650s2 [1,0,1,-644126,-47418352] 4 [-459:12541:1] 82650s3 [1,0,1,-6154126,5837261648] 4 [1537:2381:1] 82650s4 [1,0,1,-7934126,-8591298352] 2 [-1638:4081:1]
82650t (2 curves)	1	2+ 3- 5+ 19+ 29-	2+ 3- 5+ -2 -2  4 -2 19+
Curve Equation t Generators 82650t1 [1,0,1,-796776,256630198] 2 [-919:15051:1] 82650t2 [1,0,1,-2524776,-1236361802] 2 [-1144:13026:1]
82650u (1 curve)	1	2+ 3- 5+ 19- 29+	2+ 3- 5+ -1  1  0  5 19-
Curve Equation t Generators 82650u1 [1,0,1,-21,28] 1 [1:2:1]
82650v (1 curve)	1	2+ 3- 5+ 19- 29+	2+ 3- 5+  2 -2  0  5 19-
Curve Equation t Generators 82650v1 [1,0,1,-19061,-7372672] 1 [243:1414:1]
82650w (4 curves)	1	2+ 3- 5+ 19- 29+	2+ 3- 5+ -4  0 -2 -2 19-
Curve Equation t Generators 82650w1 [1,0,1,116124,-12179102] 2 [9326:325933:8] 82650w2 [1,0,1,-605876,-110371102] 4 [4457:290571:1] 82650w3 [1,0,1,-4168376,3195628898] 2 [18825872:1157296941:4096] 82650w4 [1,0,1,-8595376,-9697771102] 2 [-1703:2201:1]
82650x (1 curve)	2	2+ 3- 5+ 19- 29-	2+ 3- 5+ -1  0 -5 -8 19-
Curve Equation t Generators 82650x1 [1,0,1,-17401,886448] 1 [-143:746:1]&[73:-118:1]
82650y (1 curve)	0	2+ 3- 5+ 19- 29-	2+ 3- 5+ -1  3  4 -5 19-
Curve Equation t 82650y1 [1,0,1,-439297826,-3543979325452] 1
82650z (2 curves)	1	2+ 3- 5- 19+ 29+	2+ 3- 5-  0 -4  0 -6 19+
Curve Equation t Generators 82650z1 [1,0,1,-3791,110978] 2 [98:777:1] 82650z2 [1,0,1,-64591,6312578] 2 [112:641:1]
82650ba (1 curve)	1	2+ 3- 5- 19+ 29+	2+ 3- 5- -3 -1  0  0 19+
Curve Equation t Generators 82650ba1 [1,0,1,174,34798] 1 [2:-189:1]
82650bb (1 curve)	1	2+ 3- 5- 19+ 29+	2+ 3- 5- -3  5  4  0 19+
Curve Equation t Generators 82650bb1 [1,0,1,1719,-187892] 1 [62:366:1]
82650bc (2 curves)	2	2+ 3- 5- 19+ 29-	2+ 3- 5- -4  0 -2  2 19+
Curve Equation t Generators 82650bc1 [1,0,1,854,31688] 2 [-17:119:1]&[-14:137:1] 82650bc2 [1,0,1,-11296,420488] 2 [-92:872:1]&[-394:7603:8]
82650bd (1 curve)	0	2+ 3- 5- 19+ 29-	2+ 3- 5-  5  5  6 -6 19+
Curve Equation t 82650bd1 [1,0,1,-109751,192588698] 1
82650be (2 curves)	1	2+ 3- 5- 19- 29-	2+ 3- 5- -1  3 -4 -3 19-
Curve Equation t Generators 82650be1 [1,0,1,-24041001,45368837548] 3 [-2629:301986:1] 82650be2 [1,0,1,-27662376,30801396598] 1 [-946897:101136573:343]
82650bf (2 curves)	1	2+ 3- 5- 19- 29-	2+ 3- 5- -2  0  4  6 19-
Curve Equation t Generators 82650bf1 [1,0,1,-1631,-18142] 2 [-24:97:1] 82650bf2 [1,0,1,-9731,354458] 2 [-72:862:1]
82650bg (4 curves)	0	2- 3+ 5+ 19+ 29+	2- 3+ 5+  0  0  6  6 19+
Curve Equation t 82650bg1 [1,1,1,-760713,-231792969] 2 82650bg2 [1,1,1,-2808713,1558159031] 4 82650bg3 [1,1,1,4791287,8534959031] 2 82650bg4 [1,1,1,-43176713,109179247031] 2
82650bh (4 curves)	0	2- 3+ 5+ 19+ 29+	2- 3+ 5+  0  0 -6  2 19+
Curve Equation t 82650bh1 [1,1,1,-130688,9813281] 2 82650bh2 [1,1,1,-1812688,938277281] 4 82650bh3 [1,1,1,-1537188,1233613281] 2 82650bh4 [1,1,1,-29000188,60098277281] 2
82650bi (2 curves)	0	2- 3+ 5+ 19+ 29+	2- 3+ 5+  0 -4  0 -4 19+
Curve Equation t 82650bi1 [1,1,1,-634818938,-6156407710969] 2 82650bi2 [1,1,1,-664514938,-5548827550969] 2
82650bj (1 curve)	0	2- 3+ 5+ 19+ 29+	2- 3+ 5+  5 -4 -5 -4 19+
Curve Equation t 82650bj1 [1,1,1,3562,7031] 1
82650bk (2 curves)	1	2- 3+ 5+ 19+ 29-	2- 3+ 5+  0  2 -2  6 19+
Curve Equation t Generators 82650bk1 [1,1,1,37,-4219] 2 [111:1120:1] 82650bk2 [1,1,1,-3713,-86719] 2 [7604:65305:64]
82650bl (4 curves)	1	2- 3+ 5+ 19+ 29-	2- 3+ 5+ -4  4  6 -2 19+
Curve Equation t Generators 82650bl1 [1,1,1,-5367563,16739028281] 4 [-941:145238:1] 82650bl2 [1,1,1,-136439563,612068052281] 4 [-4669:1073478:1] 82650bl3 [1,1,1,-188279563,104347092281] 2 [-905:523902:1] 82650bl4 [1,1,1,-2181751563,39223467988281] 2 [41731:4545590:1]
82650bm (1 curve)	1	2- 3+ 5+ 19+ 29-	2- 3+ 5+ -5  5 -6  6 19+
Curve Equation t Generators 82650bm1 [1,1,1,-2743763,24073587281] 1 [1251:-150962:1]
82650bn (2 curves)	1	2- 3+ 5+ 19- 29+	2- 3+ 5+  0  0  4  0 19-
Curve Equation t Generators 82650bn1 [1,1,1,-10138,-106969] 2 [-95:147:1] 82650bn2 [1,1,1,-126138,-17274969] 2 [-211:147:1]
82650bo (2 curves)	0	2- 3+ 5+ 19- 29-	2- 3+ 5+  1  3  4  3 19-
Curve Equation t 82650bo1 [1,1,1,-601025013,5671104693531] 1 82650bo2 [1,1,1,-691559388,3850174574781] 1
82650bp (2 curves)	0	2- 3+ 5+ 19- 29-	2- 3+ 5+ -2 -3  7  6 19-
Curve Equation t 82650bp1 [1,1,1,-738,-60969] 1 82650bp2 [1,1,1,-142113,-20679969] 1
82650bq (4 curves)	0	2- 3+ 5+ 19- 29-	2- 3+ 5+  4  4  2 -2 19-
Curve Equation t 82650bq1 [1,1,1,-6438,138531] 2 82650bq2 [1,1,1,-38438,-2805469] 4 82650bq3 [1,1,1,19562,-10461469] 2 82650bq4 [1,1,1,-608438,-182925469] 2
82650br (2 curves)	2	2- 3+ 5+ 19- 29-	2- 3+ 5+ -4 -2 -4  0 19-
Curve Equation t Generators 82650br1 [1,1,1,-2913,80031] 2 [15:-208:1]&[-35:392:1] 82650br2 [1,1,1,-50913,4400031] 2 [135:-168:1]&[-85:2892:1]
82650bs (2 curves)	1	2- 3+ 5- 19+ 29+	2- 3+ 5-  0 -4  0  6 19+
Curve Equation t Generators 82650bs1 [1,1,1,-94763,13872281] 2 [-61:4438:1] 82650bs2 [1,1,1,-1614763,789072281] 2 [635:4182:1]
82650bt (1 curve)	1	2- 3+ 5- 19+ 29+	2- 3+ 5-  3 -1  0  0 19+
Curve Equation t Generators 82650bt1 [1,1,1,7,281] 1 [-50:71:8]
82650bu (1 curve)	1	2- 3+ 5- 19+ 29+	2- 3+ 5-  3  5 -4  0 19+
Curve Equation t Generators 82650bu1 [1,1,1,42987,-23486469] 1 [2535:126732:1]
82650bv (1 curve)	1	2- 3+ 5- 19+ 29+	2- 3+ 5-  3 -5 -4  5 19+
Curve Equation t Generators 82650bv1 [1,1,1,-3968888,-2885357719] 1 [-30255:352939:27]
82650bw (2 curves)	0	2- 3+ 5- 19+ 29-	2- 3+ 5-  4  0  2 -2 19+
Curve Equation t 82650bw1 [1,1,1,21362,3961031] 2 82650bw2 [1,1,1,-282388,52561031] 2
82650bx (1 curve)	0	2- 3+ 5- 19- 29+	2- 3+ 5-  1  1  0 -5 19-
Curve Equation t 82650bx1 [1,1,1,-513,3531] 1
82650by (1 curve)	0	2- 3+ 5- 19- 29+	2- 3+ 5- -2 -2  0 -5 19-
Curve Equation t 82650by1 [1,1,1,-476513,-921583969] 1
82650bz (1 curve)	1	2- 3+ 5- 19- 29-	2- 3+ 5-  1  3 -4  5 19-
Curve Equation t Generators 82650bz1 [1,1,1,-17571913,-28358863369] 1 [-65355:32744:27]
82650ca (2 curves)	1	2- 3+ 5- 19- 29-	2- 3+ 5-  2  0 -4 -6 19-
Curve Equation t Generators 82650ca1 [1,1,1,-40763,-2267719] 2 [-101:962:1] 82650ca2 [1,1,1,-243263,44307281] 2 [-265:9632:1]
82650cb (1 curve)	1	2- 3- 5+ 19+ 29+	2- 3- 5+ -3  3  0  3 19+
Curve Equation t Generators 82650cb1 [1,0,0,-713,-7143] 1 [-14:19:1]
82650cc (1 curve)	0	2- 3- 5+ 19+ 29-	2- 3- 5+  1 -1  4 -2 19+
Curve Equation t 82650cc1 [1,0,0,487912,39465042] 1
82650cd (1 curve)	0	2- 3- 5+ 19+ 29-	2- 3- 5+  1  5  4  1 19+
Curve Equation t 82650cd1 [1,0,0,-27513,-1744983] 1
82650ce (1 curve)	0	2- 3- 5+ 19+ 29-	2- 3- 5+ -2  1 -5 -2 19+
Curve Equation t 82650ce1 [1,0,0,-405663,-101517183] 1
82650cf (2 curves)	0	2- 3- 5+ 19+ 29-	2- 3- 5+ -2  2  4 -2 19+
Curve Equation t 82650cf1 [1,0,0,-743803,248480177] 5 82650cf2 [1,0,0,5099987,-7258743733] 1
82650cg (1 curve)	0	2- 3- 5+ 19+ 29-	2- 3- 5+ -2  3  1 -6 19+
Curve Equation t 82650cg1 [1,0,0,37,-9333] 1
82650ch (2 curves)	0	2- 3- 5+ 19+ 29-	2- 3- 5+  4  2  4 -8 19+
Curve Equation t 82650ch1 [1,0,0,128162,-12571708] 2 82650ch2 [1,0,0,-639838,-111643708] 2
82650ci (2 curves)	0	2- 3- 5+ 19+ 29-	2- 3- 5+  4  4 -2  4 19+
Curve Equation t 82650ci1 [1,0,0,-3184938,-834332508] 2 82650ci2 [1,0,0,11663062,-6402332508] 2
82650cj (2 curves)	0	2- 3- 5+ 19+ 29-	2- 3- 5+ -4 -2 -4  0 19+
Curve Equation t 82650cj1 [1,0,0,-10963,-482083] 2 82650cj2 [1,0,0,-179713,-29338333] 2
82650ck (2 curves)	0	2- 3- 5+ 19+ 29-	2- 3- 5+ -4  4 -6  8 19+
Curve Equation t 82650ck1 [1,0,0,-252463,48143417] 2 82650ck2 [1,0,0,-20463,133287417] 2
82650cl (2 curves)	0	2- 3- 5+ 19- 29+	2- 3- 5+  0  0 -2 -4 19-
Curve Equation t 82650cl1 [1,0,0,-14688,436992] 2 82650cl2 [1,0,0,43312,3046992] 2
82650cm (1 curve)	0	2- 3- 5+ 19- 29+	2- 3- 5+ -1  4  3 -4 19-
Curve Equation t 82650cm1 [1,0,0,-5460688,-10951572508] 1
82650cn (2 curves)	2	2- 3- 5+ 19- 29+	2- 3- 5+ -2 -6 -4 -6 19-
Curve Equation t Generators 82650cn1 [1,0,0,-56063,-1873383] 2 [262:1069:1]&[-188:1519:1] 82650cn2 [1,0,0,-488063,129886617] 2 [298:3157:1]&[-728:10339:1]
82650co (2 curves)	0	2- 3- 5+ 19- 29+	2- 3- 5+  3 -3  4 -7 19-
Curve Equation t 82650co1 [1,0,0,-50803,4284257] 5 82650co2 [1,0,0,-4256263,-3380137483] 1
82650cp (2 curves)	1	2- 3- 5+ 19- 29-	2- 3- 5+ -2  0  2  4 19-
Curve Equation t Generators 82650cp1 [1,0,0,25412,2915792] 2 [62:-2206:1] 82650cp2 [1,0,0,-217588,32804792] 2 [38:4940:1]
82650cq (1 curve)	1	2- 3- 5+ 19- 29-	2- 3- 5+ -2 -6 -4 -2 19-
Curve Equation t Generators 82650cq1 [1,0,0,-4858,-168988] 1 [116:854:1]
82650cr (1 curve)	1	2- 3- 5+ 19- 29-	2- 3- 5+ -3  0  3 -4 19-
Curve Equation t Generators 82650cr1 [1,0,0,-34713,44943417] 1 [1482:56259:1]
82650cs (1 curve)	1	2- 3- 5+ 19- 29-	2- 3- 5+ -3  3  0  2 19-
Curve Equation t Generators 82650cs1 [1,0,0,-353461063,-2602512347383] 1 [200342:-89362171:1]
82650ct (4 curves)	1	2- 3- 5+ 19- 29-	2- 3- 5+ -4  4 -6  2 19-
Curve Equation t Generators 82650ct1 [1,0,0,-587201813,5466518635617] 4 [45586:8546359:1] 82650ct2 [1,0,0,-797153813,1209741835617] 4 [46936:-8220695:1] 82650ct3 [1,0,0,3153864187,9629361193617] 2 [29536:-11352695:1] 82650ct4 [1,0,0,-8107403813,-279642752914383] 2 [121936:-23401241:1]
82650cu (2 curves)	0	2- 3- 5- 19+ 29+	2- 3- 5- -4  6  6  6 19+
Curve Equation t 82650cu1 [1,0,0,-209513,-21393483] 2 82650cu2 [1,0,0,-2943263,-1943219733] 2
82650cv (1 curve)	1	2- 3- 5- 19+ 29-	2- 3- 5-  3 -2  1 -6 19+
Curve Equation t Generators 82650cv1 [1,0,0,-38388,-3082608] 1 [552:-12276:1]
82650cw (2 curves)	1	2- 3- 5- 19- 29+	2- 3- 5-  0  2  2 -2 19-
Curve Equation t Generators 82650cw1 [1,0,0,-28263,1819017] 2 [108:117:1] 82650cw2 [1,0,0,-43263,-325983] 2 [608:13775:1]
82650cx (2 curves)	1	2- 3- 5- 19- 29+	2- 3- 5-  3  2 -1 -2 19-
Curve Equation t Generators 82650cx1 [1,0,0,-1276478,-555202428] 1 [31113866784:649801801858:20346417] 82650cx2 [1,0,0,1094997,-2286113103] 5 [1902:80769:1]
82650cy (1 curve)	0	2- 3- 5- 19- 29-	2- 3- 5-  1  2 -1  6 19-
Curve Equation t 82650cy1 [1,0,0,-388,103892] 1

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