Cremona's table of elliptic curves

116025 = 3 · 5² · 7 · 13 · 17

Class	r	Atkin-Lehner	Eigenvalues
116025a (2 curves)	1	3+ 5+ 7+ 13+ 17+	0 3+ 5+ 7+  3 13+ 17+  2
Curve Equation t Generators 116025a1 [0,-1,1,-1113,14348] 1 [16:19:1] 116025a2 [0,-1,1,-11313,-454087] 1 [-82489:94904:1331]
116025b (8 curves)	1	3+ 5+ 7+ 13+ 17+	1 3+ 5+ 7+  4 13+ 17+  4
Curve Equation t Generators 116025b1 [1,1,0,-1436500,658961875] 2 [-1602:245899:8] 116025b2 [1,1,0,-2256625,-180026000] 4 [10412498580:380702541835:4410944] 116025b3 [1,1,0,8931500,-1421907875] 2 [8247268302578340:683379222812614855:5712300397376] 116025b4 [1,1,0,-26566750,-52616965625] 4 [-5959474007505464325950:-13008527351390186714525:1962275189657223349] 116025b5 [1,1,0,-17250625,-90039839750] 2 [78736145530:31414245880360:493039] 116025b6 [1,1,0,-424844875,-3370672025000] 4 [-54913797920189816345986675559704602:26939741356796495437586034567545003:4614438887383232238467674053608] 116025b7 [1,1,0,-424621750,-3374389064375] 2 [550704960456409522456348772073215216087715808642347431746526494002:-163047501424676418061550839379762858067594561381890304924241476655103:5962974893379387233028324833713427240853113889273614230036792] 116025b8 [1,1,0,-6797518000,-215714513223125] 2 [-6837011169978977864842165656137922488903019715550012223120136884678138402:3418505762603673243165403282089316644017142523008503599878584459432869703:143630916654383559196556948814902603563900715456253263921205275836808]
116025c (2 curves)	1	3+ 5+ 7+ 13+ 17+	1 3+ 5+ 7+ -4 13+ 17+  0
Curve Equation t Generators 116025c1 [1,1,0,-11375,462000] 2 [96:468:1] 116025c2 [1,1,0,-9250,642625] 2 [-40:995:1]
116025d (2 curves)	0	3+ 5+ 7+ 13+ 17-	0 3+ 5+ 7+ -3 13+ 17-  2
Curve Equation t 116025d1 [0,-1,1,-26169907083,-1628121965927182] 1 116025d2 [0,-1,1,-2119271669583,-1187484101974736557] 1
116025e (1 curve)	2	3+ 5+ 7+ 13+ 17-	0 3+ 5+ 7+ -3 13+ 17- -5
Curve Equation t Generators 116025e1 [0,-1,1,-463,3993] 1 [13:-2:1]&[-6:523:8]
116025f (1 curve)	0	3+ 5+ 7+ 13+ 17-	0 3+ 5+ 7+  5 13+ 17- -5
Curve Equation t 116025f1 [0,-1,1,-23385493,-108114660897] 1
116025g (2 curves)	0	3+ 5+ 7+ 13- 17+	1 3+ 5+ 7+  2 13- 17+ -4
Curve Equation t 116025g1 [1,1,0,5625,-6885000] 2 116025g2 [1,1,0,-510750,-137527875] 2
116025h (1 curve)	1	3+ 5+ 7+ 13- 17-	2 3+ 5+ 7+ -6 13- 17- -1
Curve Equation t Generators 116025h1 [0,-1,1,-358,-38007] 1 [314:659:8]
116025i (6 curves)	0	3+ 5+ 7- 13+ 17+	1 3+ 5+ 7- -4 13+ 17+  4
Curve Equation t 116025i1 [1,1,0,-2716500,6044605875] 2 116025i2 [1,1,0,-69146625,220813200000] 4 116025i3 [1,1,0,-95481750,37178373375] 4 116025i4 [1,1,0,-1105693500,14150966653125] 2 116025i5 [1,1,0,379640625,297070312500] 2 116025i6 [1,1,0,-991966125,-11974815767250] 2
116025j (1 curve)	0	3+ 5+ 7- 13+ 17+	-2 3+ 5+ 7-  2 13+ 17+  1
Curve Equation t 116025j1 [0,-1,1,-72808,-7537482] 1
116025k (1 curve)	2	3+ 5+ 7- 13+ 17+	-2 3+ 5+ 7- -3 13+ 17+  1
Curve Equation t Generators 116025k1 [0,-1,1,62,48] 1 [-6:3:8]&[1:10:1]
116025l (2 curves)	1	3+ 5+ 7- 13+ 17-	-1 3+ 5+ 7-  4 13+ 17- -8
Curve Equation t Generators 116025l1 [1,1,1,-1138,13406] 2 [24:13:1] 116025l2 [1,1,1,987,60156] 2 [16:275:1]
116025m (4 curves)	1	3+ 5+ 7- 13- 17+	1 3+ 5+ 7-  4 13- 17+  0
Curve Equation t Generators 116025m1 [1,1,0,-658625,864114000] 2 [1124:38750:1] 116025m2 [1,1,0,-18236750,29885598375] 4 [4310:1135345:8] 116025m3 [1,1,0,-26158625,1374770250] 2 [-1930:701665:8] 116025m4 [1,1,0,-291564875,1916122989000] 2 [84278:899529:8]
116025n (2 curves)	1	3+ 5+ 7- 13- 17+	-1 3+ 5+ 7- -2 13- 17+ -4
Curve Equation t Generators 116025n1 [1,1,1,-122588,16577156] 2 [220:452:1] 116025n2 [1,1,1,-1964963,1059361406] 2 [800:37:1]
116025o (1 curve)	1	3+ 5+ 7- 13- 17+	-2 3+ 5+ 7- -2 13- 17+  6
Curve Equation t Generators 116025o1 [0,-1,1,1327592,-2645425782] 1 [1347:39812:1]
116025p (2 curves)	0	3+ 5+ 7- 13- 17-	1 3+ 5+ 7- -6 13- 17-  4
Curve Equation t 116025p1 [1,1,0,-28500,3220875] 2 116025p2 [1,1,0,-544875,154518750] 2
116025q (1 curve)	0	3+ 5- 7+ 13+ 17+	1 3+ 5- 7+  2 13+ 17+ -5
Curve Equation t 116025q1 [1,1,0,-25825,-1942250] 1
116025r (1 curve)	1	3+ 5- 7+ 13+ 17-	0 3+ 5- 7+  0 13+ 17-  0
Curve Equation t Generators 116025r1 [0,-1,1,-3043,67188] 1 [48:171:1]
116025s (1 curve)	1	3+ 5- 7+ 13- 17+	0 3+ 5- 7+  3 13- 17+ -5
Curve Equation t Generators 116025s1 [0,-1,1,-33,443] 1 [-3:22:1]
116025t (2 curves)	1	3+ 5- 7+ 13- 17+	-1 3+ 5- 7+  0 13- 17+ -2
Curve Equation t Generators 116025t1 [1,1,1,-594678,-176757894] 2 [-446:242:1] 116025t2 [1,1,1,-586103,-182091544] 2 [1269:32827:1]
116025u (1 curve)	2	3+ 5- 7+ 13- 17-	0 3+ 5- 7+ -5 13- 17-  7
Curve Equation t Generators 116025u1 [0,-1,1,37667,-9810432] 1 [166:994:1]&[192:2112:1]
116025v (1 curve)	0	3+ 5- 7- 13- 17+	0 3+ 5- 7- -4 13- 17+ -8
Curve Equation t 116025v1 [0,-1,1,-809333,530895443] 1
116025w (1 curve)	2	3+ 5- 7- 13- 17+	-2 3+ 5- 7- -1 13- 17+ -7
Curve Equation t Generators 116025w1 [0,-1,1,-1708,32418] 1 [-38:202:1]&[-33:227:1]
116025x (1 curve)	1	3+ 5- 7- 13- 17-	0 3+ 5- 7-  5 13- 17- -1
Curve Equation t Generators 116025x1 [0,-1,1,-58583,10431443] 1 [-67:3748:1]
116025y (1 curve)	0	3- 5+ 7+ 13+ 17+	0 3- 5+ 7+  5 13+ 17+ -1
Curve Equation t 116025y1 [0,1,1,-2343,82514] 1
116025z (1 curve)	2	3- 5+ 7+ 13+ 17+	-2 3- 5+ 7+ -2 13+ 17+ -2
Curve Equation t Generators 116025z1 [0,1,1,842,-19406] 1 [38:262:1]&[154:521:8]
116025ba (4 curves)	1	3- 5+ 7+ 13+ 17-	1 3- 5+ 7+  0 13+ 17-  8
Curve Equation t Generators 116025ba1 [1,0,1,-36401,5488823] 2 [1686:20603:8] 116025ba2 [1,0,1,-739526,244551323] 4 [-26508:1415161:64] 116025ba3 [1,0,1,-898901,131395073] 2 [-141113804:6699405993:314432] 116025ba4 [1,0,1,-11830151,15660520073] 2 [11357:1154571:1]
116025bb (1 curve)	1	3- 5+ 7+ 13+ 17-	2 3- 5+ 7+ -1 13+ 17- -7
Curve Equation t Generators 116025bb1 [0,1,1,-42708,3966869] 1 [-1878:8429:8]
116025bc (4 curves)	0	3- 5+ 7+ 13- 17-	1 3- 5+ 7+ -4 13- 17- -4
Curve Equation t 116025bc1 [1,0,1,-2626,-50977] 2 116025bc2 [1,0,1,-5751,92773] 4 116025bc3 [1,0,1,18624,677773] 2 116025bc4 [1,0,1,-80126,8720273] 4
116025bd (1 curve)	2	3- 5+ 7+ 13- 17-	-2 3- 5+ 7+ -6 13- 17- -6
Curve Equation t Generators 116025bd1 [0,1,1,-317408,73947344] 1 [-572:8287:1]&[-507:10237:1]
116025be (1 curve)	1	3- 5+ 7- 13+ 17+	0 3- 5+ 7- -5 13+ 17+  7
Curve Equation t Generators 116025be1 [0,1,1,1507,-77881] 1 [1707:70564:1]
116025bf (4 curves)	1	3- 5+ 7- 13+ 17+	1 3- 5+ 7-  4 13+ 17+  4
Curve Equation t Generators 116025bf1 [1,0,1,-2551,-40627] 2 [9092889345:126993497539:41063625] 116025bf2 [1,0,1,-38676,-2930627] 4 [110695:3149778:125] 116025bf3 [1,0,1,-36551,-3266377] 2 [3507:205621:1] 116025bf4 [1,0,1,-618801,-187410377] 2 [2913414140:50079223531:2744000]
116025bg (6 curves)	1	3- 5+ 7- 13+ 17+	1 3- 5+ 7- -4 13+ 17+ -4
Curve Equation t Generators 116025bg1 [1,0,1,-41101,3203723] 2 [511632:358861:4096] 116025bg2 [1,0,1,-41226,3183223] 4 [206:11593:8] 116025bg3 [1,0,1,-7101,8301973] 2 [878:23353:8] 116025bg4 [1,0,1,-77351,-3247027] 4 [-1194:18443:8] 116025bg5 [1,0,1,281774,-24794527] 2 [217:6716:1] 116025bg6 [1,0,1,-1014476,-393091027] 2 [-4554:3323:8]
116025bh (4 curves)	1	3- 5+ 7- 13+ 17+	-1 3- 5+ 7-  0 13+ 17+  8
Curve Equation t Generators 116025bh1 [1,0,0,57687,1636992] 2 [21:1680:1] 116025bh2 [1,0,0,-242438,13341867] 4 [-413:6769:1] 116025bh3 [1,0,0,-2233063,-1274592508] 2 [-868:3584:1] 116025bh4 [1,0,0,-3053813,2051588742] 2 [1078:3010:1]
116025bi (1 curve)	1	3- 5+ 7- 13+ 17+	-2 3- 5+ 7-  2 13+ 17+ -7
Curve Equation t Generators 116025bi1 [0,1,1,-568758,238781144] 1 [-633:18589:1]
116025bj (1 curve)	0	3- 5+ 7- 13+ 17-	0 3- 5+ 7-  3 13+ 17- -5
Curve Equation t 116025bj1 [0,1,1,-833,53744] 1
116025bk (2 curves)	0	3- 5+ 7- 13- 17+	-1 3- 5+ 7-  2 13- 17+ -8
Curve Equation t 116025bk1 [1,0,0,-188,-6633] 2 116025bk2 [1,0,0,-6563,-204258] 2
116025bl (4 curves)	0	3- 5+ 7- 13- 17+	-1 3- 5+ 7- -4 13- 17+  4
Curve Equation t 116025bl1 [1,0,0,-1395350313,20061824872992] 2 116025bl2 [1,0,0,-1398920438,19954003527867] 4 116025bl3 [1,0,0,-333776813,49602276329742] 2 116025bl4 [1,0,0,-2521186063,-16594821081508] 2
116025bm (1 curve)	1	3- 5+ 7- 13- 17-	-1 3- 5+ 7-  2 13- 17- -5
Curve Equation t Generators 116025bm1 [1,0,0,-1033,-15538] 1 [101:905:1]
116025bn (4 curves)	1	3- 5+ 7- 13- 17-	-1 3- 5+ 7- -4 13- 17- -8
Curve Equation t Generators 116025bn1 [1,0,0,-7132838,7331729667] 4 [982:35209:1] 116025bn2 [1,0,0,-7138963,7318505792] 4 [-1363:121169:1] 116025bn3 [1,0,0,-3949588,13891807667] 2 [3197:-185836:1] 116025bn4 [1,0,0,-10426338,-101099583] 2 [-1584:112329:1]
116025bo (1 curve)	2	3- 5- 7+ 13+ 17-	0 3- 5- 7+ -4 13+ 17- -8
Curve Equation t Generators 116025bo1 [0,1,1,-32373,4234214] 1 [1242:43375:1]&[108:-1418:1]
116025bp (1 curve)	1	3- 5- 7+ 13- 17-	2 3- 5- 7+ -3 13- 17-  1
Curve Equation t Generators 116025bp1 [0,1,1,1542,9119] 1 [1114:13721:8]
116025bq (2 curves)	1	3- 5- 7- 13+ 17-	1 3- 5- 7-  0 13+ 17- -2
Curve Equation t Generators 116025bq1 [1,0,1,-14866951,-22065002827] 2 [5135547:-2241848383:27] 116025bq2 [1,0,1,-14652576,-22732137827] 2 [121629:1337422:27]
116025br (1 curve)	1	3- 5- 7- 13- 17+	0 3- 5- 7-  0 13- 17+  0
Curve Equation t Generators 116025br1 [0,1,1,-76083,8246369] 1 [483:9187:1]
116025bs (2 curves)	1	3- 5- 7- 13- 17+	0 3- 5- 7- -3 13- 17+  2
Curve Equation t Generators 116025bs1 [0,1,1,-1046796283,-13025394445931] 3 [-18811:99508:1] 116025bs2 [0,1,1,-84770866783,-9499906724144606] 1 [-14319292724:95819:85184]
116025bt (1 curve)	1	3- 5- 7- 13- 17+	0 3- 5- 7- -3 13- 17+ -5
Curve Equation t Generators 116025bt1 [0,1,1,-11583,475994] 1 [62:4:1]
116025bu (1 curve)	1	3- 5- 7- 13- 17+	0 3- 5- 7-  5 13- 17+ -5
Curve Equation t Generators 116025bu1 [0,1,1,-584637333,-13515501886756] 1 [6808134265278:2253839731912526:58863869]
116025bv (2 curves)	0	3- 5- 7- 13- 17-	0 3- 5- 7-  3 13- 17-  2
Curve Equation t 116025bv1 [0,1,1,-27833,1737869] 3 116025bv2 [0,1,1,-282833,-57326506] 1

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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