Cremona's table of elliptic curves

16170 = 2 · 3 · 5 · 7² · 11

Class	r	Atkin-Lehner	Eigenvalues
16170a (1 curve)	0	2+ 3+ 5+ 7+ 11-	2+ 3+ 5+ 7+ 11-  0  5 -3
Curve Equation t 16170a1 [1,1,0,-23888,-1432332] 1
16170b (1 curve)	0	2+ 3+ 5+ 7- 11+	2+ 3+ 5+ 7- 11+  0 -1 -3
Curve Equation t 16170b1 [1,1,0,-10080648,-122533933248] 1
16170c (2 curves)	0	2+ 3+ 5+ 7- 11+	2+ 3+ 5+ 7- 11+  0  6  4
Curve Equation t 16170c1 [1,1,0,-46183,3789157] 2 16170c2 [1,1,0,-25603,7209553] 2
16170d (4 curves)	0	2+ 3+ 5+ 7- 11+	2+ 3+ 5+ 7- 11+ -2  2  8
Curve Equation t 16170d1 [1,1,0,-46673,-5215083] 2 16170d2 [1,1,0,-814993,-283500587] 4 16170d3 [1,1,0,-13039513,-18128854883] 2 16170d4 [1,1,0,-883593,-233052147] 2
16170e (8 curves)	0	2+ 3+ 5+ 7- 11+	2+ 3+ 5+ 7- 11+ -2 -6  4
Curve Equation t 16170e1 [1,1,0,-57453,-2433843] 2 16170e2 [1,1,0,-771873,-261196767] 4 16170e3 [1,1,0,-2339628,1376376912] 2 16170e4 [1,1,0,-12348123,-16706417517] 2 16170e5 [1,1,0,-626343,-362514753] 2 16170e6 [1,1,0,-2480748,1200795408] 4 16170e7 [1,1,0,-12564948,-16089573912] 2 16170e8 [1,1,0,5345532,7256770872] 2
16170f (2 curves)	2	2+ 3+ 5+ 7- 11+	2+ 3+ 5+ 7- 11+ -4 -6 -6
Curve Equation t Generators 16170f1 [1,1,0,-18,288] 2 [-6:18:1]&[-1:18:1] 16170f2 [1,1,0,-788,8142] 2 [-29:102:1]&[-1:95:1]
16170g (4 curves)	0	2+ 3+ 5+ 7- 11+	2+ 3+ 5+ 7- 11+  6  2  0
Curve Equation t 16170g1 [1,1,0,9432,75888] 2 16170g2 [1,1,0,-38588,565692] 4 16170g3 [1,1,0,-378158,-89148702] 2 16170g4 [1,1,0,-467338,122587942] 2
16170h (2 curves)	0	2+ 3+ 5+ 7- 11+	2+ 3+ 5+ 7- 11+  6 -6  4
Curve Equation t 16170h1 [1,1,0,-278917188,-2254692975408] 2 16170h2 [1,1,0,-4774686788,-126982627296048] 2
16170i (2 curves)	1	2+ 3+ 5+ 7- 11-	2+ 3+ 5+ 7- 11-  2  4  0
Curve Equation t Generators 16170i1 [1,1,0,-11883,-459927] 2 [-69:228:1] 16170i2 [1,1,0,-42753,2880207] 2 [-189:2157:1]
16170j (2 curves)	1	2+ 3+ 5+ 7- 11-	2+ 3+ 5+ 7- 11-  6  0 -8
Curve Equation t Generators 16170j1 [1,1,0,-7018,122452] 2 [-11:451:1] 16170j2 [1,1,0,-97738,11716468] 2 [-29:3826:1]
16170k (2 curves)	1	2+ 3+ 5- 7- 11+	2+ 3+ 5- 7- 11+  0 -4  0
Curve Equation t Generators 16170k1 [1,1,0,-8257,239989] 2 [13:361:1] 16170k2 [1,1,0,15263,1383061] 2 [27:1334:1]
16170l (1 curve)	1	2+ 3+ 5- 7- 11+	2+ 3+ 5- 7- 11+  0 -5  5
Curve Equation t Generators 16170l1 [1,1,0,4273,106149] 1 [78:921:1]
16170m (8 curves)	1	2+ 3+ 5- 7- 11+	2+ 3+ 5- 7- 11+ -2  6  4
Curve Equation t Generators 16170m1 [1,1,0,-14040142,-20254933964] 2 [247993234357380:-11380185258898978:46152383003] 16170m2 [1,1,0,-14055822,-20207445516] 4 [35826820:2511874466:4913] 16170m3 [1,1,0,-14981677,-17384644451] 2 [-2757:55906:1] 16170m4 [1,1,0,-21450902,3348842316] 2 [-3305:196991:1] 16170m5 [1,1,0,-6911622,-40724159076] 2 [20055753489845:1460142756027397:2809189531] 16170m6 [1,1,0,-79206957,256433414301] 4 [-8883:513549:1] 16170m7 [1,1,0,-1247931437,16967557264029] 2 [16883:834971:1] 16170m8 [1,1,0,61913043,1070949830301] 2 [-32979779:-2902156858:4913]
16170n (4 curves)	1	2+ 3+ 5- 7- 11+	2+ 3+ 5- 7- 11+  6 -2 -4
Curve Equation t Generators 16170n1 [1,1,0,-3602,-84636] 2 [-35:27:1] 16170n2 [1,1,0,-4582,-36224] 4 [-53:274:1] 16170n3 [1,1,0,-42312,3306654] 2 [-15:1992:1] 16170n4 [1,1,0,17468,-261134] 2 [45:764:1]
16170o (2 curves)	0	2+ 3+ 5- 7- 11-	2+ 3+ 5- 7- 11-  2  2  0
Curve Equation t 16170o1 [1,1,0,-4337,128661] 2 16170o2 [1,1,0,-72937,7551181] 2
16170p (4 curves)	0	2+ 3+ 5- 7- 11-	2+ 3+ 5- 7- 11-  2  2 -4
Curve Equation t 16170p1 [1,1,0,12568,-716736] 2 16170p2 [1,1,0,-85432,-7400336] 4 16170p3 [1,1,0,-1276132,-555360476] 2 16170p4 [1,1,0,-462732,114769404] 2
16170q (2 curves)	0	2+ 3+ 5- 7- 11-	2+ 3+ 5- 7- 11-  2 -8  0
Curve Equation t 16170q1 [1,1,0,-1959752,-1056417984] 2 16170q2 [1,1,0,-31353032,-67585167936] 2
16170r (4 curves)	0	2+ 3+ 5- 7- 11-	2+ 3+ 5- 7- 11-  4  0  4
Curve Equation t 16170r1 [1,1,0,-44027,-3489891] 2 16170r2 [1,1,0,8893,-11290299] 2 16170r3 [1,1,0,-456362,117188436] 2 16170r4 [1,1,0,-80042,305122644] 2
16170s (1 curve)	0	2+ 3- 5+ 7+ 11+	2+ 3- 5+ 7+ 11+  0  5 -5
Curve Equation t 16170s1 [1,0,1,209351,-35781028] 1
16170t (4 curves)	1	2+ 3- 5+ 7- 11+	2+ 3- 5+ 7- 11+  2 -2  4
Curve Equation t Generators 16170t1 [1,0,1,-3799,88442] 2 [55:188:1] 16170t2 [1,0,1,-7719,-126374] 4 [-52:393:1] 16170t3 [1,0,1,-104739,-13049438] 2 [-184:129:1] 16170t4 [1,0,1,26581,-935854] 2 [81:1282:1]
16170u (4 curves)	0	2+ 3- 5+ 7- 11-	2+ 3- 5+ 7- 11-  2  2  8
Curve Equation t 16170u1 [1,0,1,-1104,11806] 2 16170u2 [1,0,1,-5024,-126178] 4 16170u3 [1,0,1,-78524,-8475778] 2 16170u4 [1,0,1,5756,-591874] 2
16170v (2 curves)	0	2+ 3- 5+ 7- 11-	2+ 3- 5+ 7- 11- -2 -2  0
Curve Equation t 16170v1 [1,0,1,-89,-388] 2 16170v2 [1,0,1,-1489,-22228] 2
16170w (2 curves)	0	2+ 3- 5+ 7- 11-	2+ 3- 5+ 7- 11- -2  8  0
Curve Equation t 16170w1 [1,0,1,-96027874,362063284916] 2 16170w2 [1,0,1,-1536298594,23177103706292] 2
16170x (1 curve)	1	2+ 3- 5- 7+ 11+	2+ 3- 5- 7+ 11+  0  1  3
Curve Equation t Generators 16170x1 [1,0,1,-205728,357212398] 1 [-391:19635:1]
16170y (2 curves)	0	2+ 3- 5- 7- 11+	2+ 3- 5- 7- 11+  0 -6 -4
Curve Equation t 16170y1 [1,0,1,-943,-11182] 2 16170y2 [1,0,1,-523,-21094] 2
16170z (4 curves)	0	2+ 3- 5- 7- 11+	2+ 3- 5- 7- 11+  2 -2  0
Curve Equation t 16170z1 [1,0,1,-340968,76010806] 2 16170z2 [1,0,1,-591848,-50834122] 4 16170z3 [1,0,1,-7451848,-7821842122] 2 16170z4 [1,0,1,2254072,-396897994] 2
16170ba (2 curves)	0	2+ 3- 5- 7- 11+	2+ 3- 5- 7- 11+  4  6  6
Curve Equation t 16170ba1 [1,0,1,-908,-101482] 2 16170ba2 [1,0,1,-38638,-2908594] 2
16170bb (2 curves)	0	2+ 3- 5- 7- 11+	2+ 3- 5- 7- 11+ -6  6 -4
Curve Equation t 16170bb1 [1,0,1,-5692188,6572635738] 2 16170bb2 [1,0,1,-97442588,370197821018] 2
16170bc (1 curve)	1	2+ 3- 5- 7- 11-	2+ 3- 5- 7- 11-  0 -5  3
Curve Equation t Generators 16170bc1 [1,0,1,-488,4106] 1 [15:-23:1]
16170bd (4 curves)	1	2+ 3- 5- 7- 11-	2+ 3- 5- 7- 11- -2  2 -8
Curve Equation t Generators 16170bd1 [1,0,1,-68283,6862006] 2 [155:12:1] 16170bd2 [1,0,1,-69263,6654638] 4 [564:-12410:1] 16170bd3 [1,0,1,-204013,-27140662] 2 [-176:1910:1] 16170bd4 [1,0,1,49807,27182306] 2 [-150:4117:1]
16170be (2 curves)	1	2+ 3- 5- 7- 11-	2+ 3- 5- 7- 11- -2 -4  0
Curve Equation t Generators 16170be1 [1,0,1,-243,1306] 2 [-10:57:1] 16170be2 [1,0,1,-873,-8522] 2 [-16:45:1]
16170bf (4 curves)	1	2+ 3- 5- 7- 11-	2+ 3- 5- 7- 11-  6 -6  0
Curve Equation t Generators 16170bf1 [1,0,1,-42313,3339788] 2 [699:17410:1] 16170bf2 [1,0,1,-57993,636556] 4 [-205:2082:1] 16170bf3 [1,0,1,-596993,-176802244] 2 [-450:1102:1] 16170bf4 [1,0,1,230127,5131228] 2 [844:27875:1]
16170bg (2 curves)	1	2+ 3- 5- 7- 11-	2+ 3- 5- 7- 11- -6  0  8
Curve Equation t Generators 16170bg1 [1,0,1,-343908,-43032734] 2 [-388:5853:1] 16170bg2 [1,0,1,-4789188,-4033116062] 2 [-1252:1533:1]
16170bh (4 curves)	1	2+ 3- 5- 7- 11-	2+ 3- 5- 7- 11- -6 -2  0
Curve Equation t Generators 16170bh1 [1,0,1,-9722508,11638653898] 2 [1922:6315:1] 16170bh2 [1,0,1,-13736588,1112130506] 4 [-3375:96727:1] 16170bh3 [1,0,1,-146546188,-680360489014] 2 [-7148:47678:1] 16170bh4 [1,0,1,54847732,8903309258] 2 [4554:591970:1]
16170bi (2 curves)	1	2- 3+ 5+ 7- 11+	2- 3+ 5+ 7- 11+  0  2  4
Curve Equation t Generators 16170bi1 [1,1,1,-196246,-22894957] 2 [-343:2223:1] 16170bi2 [1,1,1,544634,-153882541] 2 [343:8397:1]
16170bj (6 curves)	1	2- 3+ 5+ 7- 11+	2- 3+ 5+ 7- 11+  2 -2  4
Curve Equation t Generators 16170bj1 [1,1,1,244,-5587] 2 [27:133:1] 16170bj2 [1,1,1,-3676,-80851] 4 [-41:75:1] 16170bj3 [1,1,1,-57576,-5341491] 2 [-139:75:1] 16170bj4 [1,1,1,-12496,441293] 4 [97:343:1] 16170bj5 [1,1,1,-190366,31888709] 2 [7022:182735:8] 16170bj6 [1,1,1,24254,2587493] 2 [-274:10619:8]
16170bk (4 curves)	1	2- 3+ 5+ 7- 11+	2- 3+ 5+ 7- 11+ -2  2 -4
Curve Equation t Generators 16170bk1 [1,1,1,-9801,319479] 2 [13:434:1] 16170bk2 [1,1,1,-150921,22503543] 4 [139:1988:1] 16170bk3 [1,1,1,-2414721,1443264423] 2 [897:-436:1] 16170bk4 [1,1,1,-145041,24345159] 2 [153:2324:1]
16170bl (1 curve)	1	2- 3+ 5+ 7- 11+	2- 3+ 5+ 7- 11+  4 -7 -1
Curve Equation t Generators 16170bl1 [1,1,1,-725516,-263283091] 1 [1079:14005:1]
16170bm (2 curves)	0	2- 3+ 5+ 7- 11-	2- 3+ 5+ 7- 11- -6 -6 -4
Curve Equation t 16170bm1 [1,1,1,979,51743] 2 16170bm2 [1,1,1,-16171,730883] 2
16170bn (8 curves)	0	2- 3+ 5- 7- 11+	2- 3+ 5- 7- 11+ -2 -6  4
Curve Equation t 16170bn1 [1,1,1,77860,-1014595] 4 16170bn2 [1,1,1,-314140,-8540995] 4 16170bn3 [1,1,1,-992300,417302717] 4 16170bn4 [1,1,1,-3675540,-2708417475] 2 16170bn5 [1,1,1,-3224740,2217485885] 2 16170bn6 [1,1,1,-16304800,25333802717] 4 16170bn7 [1,1,1,-16733550,23930589717] 2 16170bn8 [1,1,1,-260876050,1621699265717] 2
16170bo (4 curves)	0	2- 3+ 5- 7- 11+	2- 3+ 5- 7- 11+  4  0 -8
Curve Equation t 16170bo1 [1,1,1,-15730,573887] 2 16170bo2 [1,1,1,37190,3664415] 2 16170bo3 [1,1,1,-1188790,498395855] 2 16170bo4 [1,1,1,-1187320,499691807] 2
16170bp (2 curves)	0	2- 3+ 5- 7- 11+	2- 3+ 5- 7- 11+  4 -3  7
Curve Equation t 16170bp1 [1,1,1,11955,-235005] 1 16170bp2 [1,1,1,-132105,22411227] 1
16170bq (4 curves)	0	2- 3+ 5- 7- 11+	2- 3+ 5- 7- 11+  6  6  4
Curve Equation t 16170bq1 [1,1,1,-48560,2818577] 4 16170bq2 [1,1,1,-299440,-61005295] 4 16170bq3 [1,1,1,-4744720,-3979964143] 2 16170bq4 [1,1,1,131760,-221756655] 2
16170br (2 curves)	1	2- 3+ 5- 7- 11-	2- 3+ 5- 7- 11-  2 -4  0
Curve Equation t Generators 16170br1 [1,1,1,-10495850,-6479264905] 2 [-1575:79195:1] 16170br2 [1,1,1,-81620330,279327345527] 2 [-4635:749371:1]
16170bs (4 curves)	1	2- 3+ 5- 7- 11-	2- 3+ 5- 7- 11-  2 -6 -8
Curve Equation t Generators 16170bs1 [1,1,1,-1983570,1148451807] 4 [-743:47411:1] 16170bs2 [1,1,1,-32340050,70774074335] 4 [1133:188083:1] 16170bs3 [1,1,1,-32943730,67993765727] 2 [1077:183211:1] 16170bs4 [1,1,1,-517440050,4530201354335] 2 [13133:-6517:1]
16170bt (2 curves)	1	2- 3+ 5- 7- 11-	2- 3+ 5- 7- 11- -4  0  4
Curve Equation t Generators 16170bt1 [1,1,1,-295,-295] 2 [55:364:1] 16170bt2 [1,1,1,1175,-883] 2 [398:3227:8]
16170bu (2 curves)	1	2- 3+ 5- 7- 11-	2- 3+ 5- 7- 11- -4  2  6
Curve Equation t Generators 16170bu1 [1,1,1,615,615] 2 [13:98:1] 16170bu2 [1,1,1,-2465,1847] 2 [-43:196:1]
16170bv (2 curves)	1	2- 3- 5+ 7+ 11+	2- 3- 5+ 7+ 11+ -4  3 -7
Curve Equation t Generators 16170bv1 [1,0,0,244,720] 3 [-2:16:1] 16170bv2 [1,0,0,-2696,-65724] 1 [96:702:1]
16170bw (6 curves)	0	2- 3- 5+ 7- 11+	2- 3- 5+ 7- 11+  2 -2  4
Curve Equation t 16170bw1 [1,0,0,-16309651,-29706673375] 2 16170bw2 [1,0,0,-273210771,-1738150501599] 4 16170bw3 [1,0,0,-4371335571,-111242504032479] 2 16170bw4 [1,0,0,-285503891,-1573174372575] 4 16170bw5 [1,0,0,-1285691891,16240774020225] 2 16170bw6 [1,0,0,517994189,-8828601335359] 2
16170bx (6 curves)	0	2- 3- 5+ 7- 11+	2- 3- 5+ 7- 11+  2  6  4
Curve Equation t 16170bx1 [1,0,0,1714,-319740] 2 16170bx2 [1,0,0,-61006,-5600764] 4 16170bx3 [1,0,0,-966526,-365816620] 2 16170bx4 [1,0,0,-159006,16880436] 4 16170bx5 [1,0,0,-2319906,1359663696] 2 16170bx6 [1,0,0,433894,113285976] 2
16170by (2 curves)	0	2- 3- 5+ 7- 11+	2- 3- 5+ 7- 11+ -4  4 -8
Curve Equation t 16170by1 [1,0,0,-244756,46584236] 2 16170by2 [1,0,0,-231526,51847130] 2
16170bz (2 curves)	1	2- 3- 5+ 7- 11-	2- 3- 5+ 7- 11- -2  4  0
Curve Equation t Generators 16170bz1 [1,0,0,-214201,18859385] 2 [-454:4979:1] 16170bz2 [1,0,0,-1665721,-814603399] 2 [-790:3299:1]
16170ca (2 curves)	1	2- 3- 5+ 7- 11-	2- 3- 5+ 7- 11-  4 -2 -6
Curve Equation t Generators 16170ca1 [1,0,0,30134,-120604] 2 [26:812:1] 16170ca2 [1,0,0,-120786,-995940] 2 [-94:3134:1]
16170cb (6 curves)	1	2- 3- 5+ 7- 11-	2- 3- 5+ 7- 11- -6 -2  4
Curve Equation t Generators 16170cb1 [1,0,0,12494,-50044] 2 [68:1022:1] 16170cb2 [1,0,0,-50226,-413820] 4 [-132:2046:1] 16170cb3 [1,0,0,-579426,-169440300] 2 [-426:576:1] 16170cb4 [1,0,0,-524546,145581876] 4 [46:11002:1] 16170cb5 [1,0,0,-8383166,9341739000] 2 [1684:40:1] 16170cb6 [1,0,0,-255046,295046576] 2 [200:15776:1]
16170cc (1 curve)	0	2- 3- 5- 7+ 11+	2- 3- 5- 7+ 11+ -4  7  1
Curve Equation t 16170cc1 [1,0,0,-35550285,90199449297] 1
16170cd (2 curves)	1	2- 3- 5- 7- 11+	2- 3- 5- 7- 11+  0 -2 -4
Curve Equation t Generators 16170cd1 [1,0,0,-4005,66177] 2 [144:-1647:1] 16170cd2 [1,0,0,11115,450225] 2 [120:-1935:1]
16170ce (4 curves)	1	2- 3- 5- 7- 11+	2- 3- 5- 7- 11+ -2 -2 -4
Curve Equation t Generators 16170ce1 [1,0,0,-1973035,-1008013903] 2 [2174:-71647:1] 16170ce2 [1,0,0,-5987115,4397346225] 4 [-1170:99585:1] 16170ce3 [1,0,0,-89812395,327577330737] 2 [9414:-567207:1] 16170ce4 [1,0,0,13612885,27176466225] 2 [7270:-718055:1]
16170cf (4 curves)	1	2- 3- 5- 7- 11+	2- 3- 5- 7- 11+ -2 -2 -4
Curve Equation t Generators 16170cf1 [1,0,0,-24550,1283540] 4 [-178:236:1] 16170cf2 [1,0,0,-103930,-11623648] 4 [-232:236:1] 16170cf3 [1,0,0,-1616560,-791233150] 2 [-736210:387263:1000] 16170cf4 [1,0,0,138620,-57756658] 2 [17492:39359:64]
16170cg (2 curves)	0	2- 3- 5- 7- 11-	2- 3- 5- 7- 11-  6  6  4
Curve Equation t 16170cg1 [1,0,0,20,-148] 2 16170cg2 [1,0,0,-330,-2178] 2

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