Cremona's table of elliptic curves

33150 = 2 · 3 · 5² · 13 · 17

Class	r	Atkin-Lehner	Eigenvalues
33150a (4 curves)	1	2+ 3+ 5+ 13+ 17+	2+ 3+ 5+  0  0 13+ 17+  4
Curve Equation t Generators 33150a1 [1,1,0,-7625,-52875] 2 [-79:293:1] 33150a2 [1,1,0,-92125,-10784375] 4 [-179:193:1] 33150a3 [1,1,0,-62875,-17716625] 2 [471:7343:1] 33150a4 [1,1,0,-1473375,-688978125] 2 [2605:113410:1]
33150b (8 curves)	1	2+ 3+ 5+ 13+ 17+	2+ 3+ 5+  4  0 13+ 17+ -4
Curve Equation t Generators 33150b1 [1,1,0,-52403650,140576384500] 2 [67559879:3115988234:24389] 33150b2 [1,1,0,-138931650,-443401087500] 4 [110772163578287994300:-22244373848011966300350:2543693422315843] 33150b3 [1,1,0,-644819650,-6261614367500] 2 [-11401312969988556322087201:-60910141135144671845240953:734766706242031127309] 33150b4 [1,1,0,372020350,-2946554935500] 2 [2644650747170837266006811022497:-584628592020615690209413311134938:63917956522968862964383027] 33150b5 [1,1,0,-2034331650,-35313074887500] 2 [363893289469101868136501688261575:-33618000157440895788780673005974900:6496433504172004819191966487] 33150b6 [1,1,0,-10298437650,-402262678345500] 4 [1011973902652309539880444677790116450646144445:-928932332519284776637025649998694565558122095660:1184561296568848546912841272716196185949] 33150b7 [1,1,0,-10279763150,-403794192765000] 2 [1334193564753511966010004655606553690712550804678864114967620573200489034949393233745567115:-1224722318180924469090768741462624897042367703827786632854348130186334367896284394898733135120:1561741487265475938442277647387623736522086212114585448602736284410247259296284733671] 33150b8 [1,1,0,-164775000150,-25744606186158000] 2 [36446215198773133083587840522050637177290971468488333913334917089010934063832591879065:-30079360670445951849680343025578322402540435571952471457347895400599279471849343671560520:40666772110512574714226820191906636394696680994980828656100954283580680681513797]
33150c (1 curve)	0	2+ 3+ 5+ 13+ 17-	2+ 3+ 5+ -1 -3 13+ 17- -7
Curve Equation t 33150c1 [1,1,0,-66575,2377125] 1
33150d (1 curve)	0	2+ 3+ 5+ 13+ 17-	2+ 3+ 5+  2 -3 13+ 17- -7
Curve Equation t 33150d1 [1,1,0,449000,295624000] 1
33150e (2 curves)	0	2+ 3+ 5+ 13+ 17-	2+ 3+ 5+  4 -3 13+ 17- -1
Curve Equation t 33150e1 [1,1,0,-542375,154003125] 1 33150e2 [1,1,0,1197625,806743125] 1
33150f (1 curve)	0	2+ 3+ 5+ 13- 17+	2+ 3+ 5+  3  5 13- 17+  7
Curve Equation t 33150f1 [1,1,0,-2040,33120] 1
33150g (1 curve)	1	2+ 3+ 5+ 13- 17-	2+ 3+ 5+  2 -1 13- 17-  1
Curve Equation t Generators 33150g1 [1,1,0,-6025,185125] 1 [45:65:1]
33150h (2 curves)	1	2+ 3+ 5+ 13- 17-	2+ 3+ 5+ -2  0 13- 17-  6
Curve Equation t Generators 33150h1 [1,1,0,-16436250,25641076500] 2 [2315:955:1] 33150h2 [1,1,0,-16418250,25700062500] 2 [600:-127050:1]
33150i (1 curve)	1	2+ 3+ 5+ 13- 17-	2+ 3+ 5+ -2 -3 13- 17-  6
Curve Equation t Generators 33150i1 [1,1,0,5415,237285] 1 [-9:438:1]
33150j (2 curves)	1	2+ 3+ 5+ 13- 17-	2+ 3+ 5+  4 -2 13- 17-  0
Curve Equation t Generators 33150j1 [1,1,0,-44225,-1300875] 2 [-290:4195:8] 33150j2 [1,1,0,163775,-9828875] 2 [5460:137095:64]
33150k (1 curve)	0	2+ 3+ 5- 13+ 17+	2+ 3+ 5-  2  4 13+ 17+ -6
Curve Equation t 33150k1 [1,1,0,-42075,3412125] 1
33150l (2 curves)	1	2+ 3+ 5- 13+ 17-	2+ 3+ 5- -2 -6 13+ 17-  0
Curve Equation t Generators 33150l1 [1,1,0,-166285,74540125] 2 [-465:7415:1] 33150l2 [1,1,0,-3865485,2919224925] 2 [1065:2910:1]
33150m (2 curves)	1	2+ 3+ 5- 13+ 17-	2+ 3+ 5-  4  0 13+ 17-  0
Curve Equation t Generators 33150m1 [1,1,0,-9575,-292875] 2 [-59:296:1] 33150m2 [1,1,0,-144575,-21217875] 2 [-480623:272312:2197]
33150n (1 curve)	0	2+ 3- 5+ 13+ 17+	2+ 3- 5+  0 -2 13+ 17+  4
Curve Equation t 33150n1 [1,0,1,-50051,4305758] 1
33150o (4 curves)	0	2+ 3- 5+ 13+ 17+	2+ 3- 5+  4 -4 13+ 17+  8
Curve Equation t 33150o1 [1,0,1,-80751,4860898] 2 33150o2 [1,0,1,-592751,-172291102] 4 33150o3 [1,0,1,55249,-528691102] 2 33150o4 [1,0,1,-9432751,-11151571102] 2
33150p (1 curve)	0	2+ 3- 5+ 13+ 17+	2+ 3- 5+  4  5 13+ 17+ -7
Curve Equation t 33150p1 [1,0,1,-35251,2547398] 1
33150q (4 curves)	1	2+ 3- 5+ 13+ 17-	2+ 3- 5+ -4 -4 13+ 17-  8
Curve Equation t Generators 33150q1 [1,0,1,39499,515648] 2 [51:1606:1] 33150q2 [1,0,1,-160501,4115648] 4 [-293:5246:1] 33150q3 [1,0,1,-1605501,-779074352] 2 [-718:2271:1] 33150q4 [1,0,1,-1915501,1018505648] 2 [898:4319:1]
33150r (1 curve)	1	2+ 3- 5+ 13- 17+	2+ 3- 5+  0 -2 13- 17+  7
Curve Equation t Generators 33150r1 [1,0,1,1144,-7882] 1 [96:-1043:1]
33150s (2 curves)	1	2+ 3- 5+ 13- 17+	2+ 3- 5+  2 -2 13- 17+ -8
Curve Equation t Generators 33150s1 [1,0,1,-28451,1688798] 2 [63:352:1] 33150s2 [1,0,1,-444451,114008798] 2 [271:3536:1]
33150t (1 curve)	1	2+ 3- 5+ 13- 17+	2+ 3- 5+ -2 -1 13- 17+ -1
Curve Equation t Generators 33150t1 [1,0,1,-104026,32135948] 1 [192:4291:1]
33150u (4 curves)	1	2+ 3- 5+ 13- 17+	2+ 3- 5+ -4  4 13- 17+  4
Curve Equation t Generators 33150u1 [1,0,1,23374,1084148] 2 [2558:128337:1] 33150u2 [1,0,1,-121126,9754148] 4 [-353:3101:1] 33150u3 [1,0,1,-839376,-289037852] 2 [-574:2217:1] 33150u4 [1,0,1,-1714876,864004148] 2 [10272:1027876:1]
33150v (2 curves)	0	2+ 3- 5+ 13- 17-	2+ 3- 5+  2  0 13- 17-  2
Curve Equation t 33150v1 [1,0,1,-340501,75575648] 2 33150v2 [1,0,1,-52501,199415648] 2
33150w (2 curves)	1	2+ 3- 5- 13+ 17+	2+ 3- 5-  0  0 13+ 17+  0
Curve Equation t Generators 33150w1 [1,0,1,-182326,29231048] 2 [-252:7819:1] 33150w2 [1,0,1,-422326,-63888952] 2 [-4170084:79629773:12167]
33150x (1 curve)	0	2+ 3- 5- 13+ 17-	2+ 3- 5- -1  5 13+ 17- -5
Curve Equation t 33150x1 [1,0,1,-956951,352810298] 1
33150y (1 curve)	0	2+ 3- 5- 13+ 17-	2+ 3- 5- -4  2 13+ 17- -5
Curve Equation t 33150y1 [1,0,1,-651,-6602] 1
33150z (2 curves)	0	2+ 3- 5- 13- 17+	2+ 3- 5-  2  3 13- 17+  2
Curve Equation t 33150z1 [1,0,1,-826,-12802] 3 33150z2 [1,0,1,-73951,-7746502] 1
33150ba (2 curves)	0	2+ 3- 5- 13- 17+	2+ 3- 5- -4  0 13- 17+  4
Curve Equation t 33150ba1 [1,0,1,-826,-6952] 2 33150ba2 [1,0,1,-4576,113048] 2
33150bb (2 curves)	1	2+ 3- 5- 13- 17-	2+ 3- 5- -1 -3 13- 17- -1
Curve Equation t Generators 33150bb1 [1,0,1,-8951,255548] 3 [-102:382:1] 33150bb2 [1,0,1,-232076,-43030702] 1 [-18028:15573:64]
33150bc (2 curves)	1	2+ 3- 5- 13- 17-	2+ 3- 5-  2  0 13- 17-  2
Curve Equation t Generators 33150bc1 [1,0,1,624,14998] 3 [-8:101:1] 33150bc2 [1,0,1,-5751,-459302] 1 [4118:90211:8]
33150bd (2 curves)	1	2+ 3- 5- 13- 17-	2+ 3- 5- -2  4 13- 17- -2
Curve Equation t Generators 33150bd1 [1,0,1,-3731,-87442] 2 [-34:36:1] 33150bd2 [1,0,1,-1331,-197842] 2 [446:9156:1]
33150be (2 curves)	0	2- 3+ 5+ 13+ 17+	2- 3+ 5+  1 -3 13+ 17+ -1
Curve Equation t 33150be1 [1,1,1,-358,1901] 1 33150be2 [1,1,1,-9283,-347959] 1
33150bf (2 curves)	0	2- 3+ 5+ 13+ 17+	2- 3+ 5+  2  0 13+ 17+  6
Curve Equation t 33150bf1 [1,1,1,-11688,-367719] 2 33150bf2 [1,1,1,28812,-2311719] 2
33150bg (1 curve)	0	2- 3+ 5+ 13+ 17+	2- 3+ 5+  2 -3 13+ 17+ -3
Curve Equation t 33150bg1 [1,1,1,-2276332938,41801534507031] 1
33150bh (2 curves)	0	2- 3+ 5+ 13+ 17+	2- 3+ 5+ -2  0 13+ 17+  2
Curve Equation t 33150bh1 [1,1,1,15612,1874781] 1 33150bh2 [1,1,1,-143763,-57412719] 1
33150bi (2 curves)	0	2- 3+ 5+ 13+ 17+	2- 3+ 5+ -2 -3 13+ 17+ -7
Curve Equation t 33150bi1 [1,1,1,-7313,-274219] 1 33150bi2 [1,1,1,-612938,-184957969] 1
33150bj (4 curves)	1	2- 3+ 5+ 13+ 17-	2- 3+ 5+  0  0 13+ 17-  4
Curve Equation t Generators 33150bj1 [1,1,1,68412,-10524219] 4 [165:2217:1] 33150bj2 [1,1,1,-509588,-112252219] 4 [3055:162347:1] 33150bj3 [1,1,1,-2575088,1490575781] 2 [21739135:1077515753:6859] 33150bj4 [1,1,1,-7692088,-8214112219] 2 [99723:3119249:27]
33150bk (4 curves)	1	2- 3+ 5+ 13+ 17-	2- 3+ 5+ -2  0 13+ 17-  2
Curve Equation t Generators 33150bk1 [1,1,1,-72963,-364719] 2 [-261:1122:1] 33150bk2 [1,1,1,291537,-2551719] 2 [3470:113011:8] 33150bk3 [1,1,1,-4153338,-3259662969] 2 [-1179:623:1] 33150bk4 [1,1,1,-4081338,-3378030969] 2 [5005:-321253:1]
33150bl (2 curves)	1	2- 3+ 5+ 13+ 17-	2- 3+ 5+ -2  3 13+ 17-  2
Curve Equation t Generators 33150bl1 [1,1,1,-20638,-1600219] 1 [259692141412:-7270335143469:331373888] 33150bl2 [1,1,1,-1848763,-968312719] 1 [7061:577920:1]
33150bm (2 curves)	1	2- 3+ 5+ 13+ 17-	2- 3+ 5+  4  2 13+ 17- -4
Curve Equation t Generators 33150bm1 [1,1,1,-17713,899531] 2 [550:621:8] 33150bm2 [1,1,1,-14463,1244031] 2 [1382:15181:8]
33150bn (1 curve)	1	2- 3+ 5+ 13- 17+	2- 3+ 5+  1  5 13- 17+ -5
Curve Equation t Generators 33150bn1 [1,1,1,-38278,2807171] 1 [1:1663:1]
33150bo (2 curves)	1	2- 3+ 5+ 13- 17+	2- 3+ 5+  2 -2 13- 17+ -4
Curve Equation t Generators 33150bo1 [1,1,1,-513,2031] 2 [1:38:1] 33150bo2 [1,1,1,-7013,223031] 2 [51:10:1]
33150bp (1 curve)	1	2- 3+ 5+ 13- 17+	2- 3+ 5+  4  2 13- 17+ -5
Curve Equation t Generators 33150bp1 [1,1,1,-16263,-825219] 1 [179:1338:1]
33150bq (1 curve)	1	2- 3+ 5+ 13- 17+	2- 3+ 5+ -4 -5 13- 17+ -1
Curve Equation t Generators 33150bq1 [1,1,1,2622037,1260828281] 1 [-175:28312:1]
33150br (2 curves)	1	2- 3+ 5- 13+ 17+	2- 3+ 5-  2  4 13+ 17+ -2
Curve Equation t Generators 33150br1 [1,1,1,-93263,-10930219] 2 [-181:338:1] 33150br2 [1,1,1,-33263,-24730219] 2 [569:11588:1]
33150bs (1 curve)	0	2- 3+ 5- 13+ 17-	2- 3+ 5-  0 -2 13+ 17-  7
Curve Equation t 33150bs1 [1,1,1,28612,-985219] 1
33150bt (2 curves)	0	2- 3+ 5- 13+ 17-	2- 3+ 5-  4  0 13+ 17-  4
Curve Equation t 33150bt1 [1,1,1,-33,-69] 2 33150bt2 [1,1,1,-183,831] 2
33150bu (2 curves)	1	2- 3+ 5- 13- 17-	2- 3+ 5-  0  0 13- 17-  0
Curve Equation t Generators 33150bu1 [1,1,1,-7293,230931] 2 [25:-268:1] 33150bu2 [1,1,1,-16893,-517869] 2 [-39:308:1]
33150bv (1 curve)	1	2- 3+ 5- 13- 17-	2- 3+ 5-  0 -2 13- 17-  4
Curve Equation t Generators 33150bv1 [1,1,1,-1251263,538219781] 1 [641:-542:1]
33150bw (4 curves)	1	2- 3- 5+ 13+ 17+	2- 3- 5+  0  0 13+ 17+  0
Curve Equation t Generators 33150bw1 [1,0,0,212,2192] 2 [28:160:1] 33150bw2 [1,0,0,-1788,24192] 4 [-18:234:1] 33150bw3 [1,0,0,-8288,-268308] 2 [-44:130:1] 33150bw4 [1,0,0,-27288,1732692] 2 [152:974:1]
33150bx (2 curves)	0	2- 3- 5+ 13+ 17-	2- 3- 5+  0  2 13+ 17- -4
Curve Equation t 33150bx1 [1,0,0,-11192188,-14412737008] 2 33150bx2 [1,0,0,-10984188,-14974129008] 2
33150by (1 curve)	0	2- 3- 5+ 13+ 17-	2- 3- 5+  0 -3 13+ 17-  1
Curve Equation t 33150by1 [1,0,0,-438,7242] 1
33150bz (4 curves)	0	2- 3- 5+ 13+ 17-	2- 3- 5+  0 -4 13+ 17- -4
Curve Equation t 33150bz1 [1,0,0,-45338,-359169708] 2 33150bz2 [1,0,0,-7857838,-8366982208] 4 33150bz3 [1,0,0,-15451588,10427549042] 2 33150bz4 [1,0,0,-125264088,-539630263458] 2
33150ca (1 curve)	0	2- 3- 5+ 13+ 17-	2- 3- 5+  2  5 13+ 17- -1
Curve Equation t 33150ca1 [1,0,0,95562,-4973508] 1
33150cb (4 curves)	0	2- 3- 5+ 13- 17+	2- 3- 5+  4 -4 13- 17+ -4
Curve Equation t 33150cb1 [1,0,0,-5213,144417] 2 33150cb2 [1,0,0,-5713,114917] 4 33150cb3 [1,0,0,15537,773667] 2 33150cb4 [1,0,0,-34963,-2429833] 2
33150cc (1 curve)	1	2- 3- 5+ 13- 17-	2- 3- 5+  0  3 13- 17- -3
Curve Equation t Generators 33150cc1 [1,0,0,7787,38360417] 1 [962:-31081:1]
33150cd (1 curve)	1	2- 3- 5+ 13- 17-	2- 3- 5+ -2 -1 13- 17- -5
Curve Equation t Generators 33150cd1 [1,0,0,787,-17583] 1 [42:279:1]
33150ce (1 curve)	1	2- 3- 5+ 13- 17-	2- 3- 5+ -2  4 13- 17- -6
Curve Equation t Generators 33150ce1 [1,0,0,-1683,27297] 1 [36:99:1]
33150cf (2 curves)	1	2- 3- 5+ 13- 17-	2- 3- 5+ -2 -4 13- 17-  4
Curve Equation t Generators 33150cf1 [1,0,0,-477763,-122897983] 2 [-442:1625:1] 33150cf2 [1,0,0,198237,-442645983] 2 [858:18525:1]
33150cg (4 curves)	1	2- 3- 5+ 13- 17-	2- 3- 5+  4 -4 13- 17- -8
Curve Equation t Generators 33150cg1 [1,0,0,-14688,682992] 4 [126:5337:8] 33150cg2 [1,0,0,-19188,228492] 4 [-2:3865:8] 33150cg3 [1,0,0,74562,1822242] 2 [100842:2491079:216] 33150cg4 [1,0,0,-184938,-30435258] 2 [-24422734:54305279:97336]
33150ch (1 curve)	0	2- 3- 5- 13+ 17+	2- 3- 5-  2 -3 13+ 17+  6
Curve Equation t 33150ch1 [1,0,0,135362,29389892] 1
33150ci (1 curve)	1	2- 3- 5- 13+ 17-	2- 3- 5- -3  5 13+ 17-  7
Curve Equation t Generators 33150ci1 [1,0,0,-51013,4242017] 1 [-148:2999:1]
33150cj (1 curve)	1	2- 3- 5- 13- 17+	2- 3- 5-  1 -3 13- 17+ -7
Curve Equation t Generators 33150cj1 [1,0,0,-2663,19017] 1 [-2:157:1]
33150ck (2 curves)	1	2- 3- 5- 13- 17+	2- 3- 5-  2 -6 13- 17+  0
Curve Equation t Generators 33150ck1 [1,0,0,-4157138,9325829892] 2 [1252:-78626:1] 33150ck2 [1,0,0,-96637138,365096389892] 2 [3848:-226018:1]
33150cl (2 curves)	1	2- 3- 5- 13- 17+	2- 3- 5- -4  0 13- 17+  0
Curve Equation t Generators 33150cl1 [1,0,0,-383,-2343] 2 [-14:25:1] 33150cl2 [1,0,0,-5783,-169743] 2 [-44:25:1]

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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