Cremona's table of elliptic curves

32550 = 2 · 3 · 5² · 7 · 31

Class	r	Atkin-Lehner	Eigenvalues
32550a (1 curve)	1	2+ 3+ 5+ 7+ 31+	2+ 3+ 5+ 7+  1 -5  5 -5
Curve Equation t Generators 32550a1 [1,1,0,-5750,-170250] 1 [409:7926:1]
32550b (1 curve)	1	2+ 3+ 5+ 7+ 31+	2+ 3+ 5+ 7+ -4  5  5 -5
Curve Equation t Generators 32550b1 [1,1,0,-336625,104903125] 1 [6390:145705:8]
32550c (4 curves)	0	2+ 3+ 5+ 7+ 31-	2+ 3+ 5+ 7+  0 -2 -6  2
Curve Equation t 32550c1 [1,1,0,-1650750,-802543500] 2 32550c2 [1,1,0,77250,-2397487500] 2 32550c3 [1,1,0,-133050750,-590765143500] 2 32550c4 [1,1,0,-133047750,-590793112500] 2
32550d (2 curves)	0	2+ 3+ 5+ 7+ 31-	2+ 3+ 5+ 7+ -2  6  8  0
Curve Equation t 32550d1 [1,1,0,-155400,88200000] 2 32550d2 [1,1,0,-4075400,3157560000] 2
32550e (2 curves)	0	2+ 3+ 5+ 7+ 31-	2+ 3+ 5+ 7+  4  6  2 -6
Curve Equation t 32550e1 [1,1,0,-2775,-57375] 2 32550e2 [1,1,0,-2025,-88125] 2
32550f (2 curves)	0	2+ 3+ 5+ 7+ 31-	2+ 3+ 5+ 7+ -6  1 -3 -1
Curve Equation t 32550f1 [1,1,0,-211565025,1259296723125] 1 32550f2 [1,1,0,1221378975,786572515125] 1
32550g (4 curves)	0	2+ 3+ 5+ 7- 31+	2+ 3+ 5+ 7-  0  2  6  4
Curve Equation t 32550g1 [1,1,0,-4025,73125] 2 32550g2 [1,1,0,-22025,-1204875] 4 32550g3 [1,1,0,15475,-4842375] 2 32550g4 [1,1,0,-347525,-78999375] 2
32550h (4 curves)	0	2+ 3+ 5+ 7- 31+	2+ 3+ 5+ 7-  0 -6  2 -4
Curve Equation t 32550h1 [1,1,0,-456750,-177673500] 2 32550h2 [1,1,0,-8269250,-9154236000] 4 32550h3 [1,1,0,-9238000,-6876704750] 2 32550h4 [1,1,0,-132300500,-585775517250] 2
32550i (1 curve)	0	2+ 3+ 5+ 7- 31+	2+ 3+ 5+ 7-  2  6 -6  4
Curve Equation t 32550i1 [1,1,0,-21926620,-179577208880] 1
32550j (1 curve)	0	2+ 3+ 5+ 7- 31+	2+ 3+ 5+ 7- -3  3  5 -1
Curve Equation t 32550j1 [1,1,0,-31300,2338000] 1
32550k (6 curves)	0	2+ 3+ 5+ 7- 31+	2+ 3+ 5+ 7-  4  2  6  4
Curve Equation t 32550k1 [1,1,0,-19250,21112500] 2 32550k2 [1,1,0,-1269250,544862500] 4 32550k3 [1,1,0,-2281750,-448400000] 4 32550k4 [1,1,0,-20256750,35083125000] 2 32550k5 [1,1,0,8529500,-3464738750] 2 32550k6 [1,1,0,-29293000,-60980611250] 2
32550l (2 curves)	2	2+ 3+ 5+ 7- 31+	2+ 3+ 5+ 7- -4  0 -6 -8
Curve Equation t Generators 32550l1 [1,1,0,-8025,433125] 2 [50:-425:1]&[-75:825:1] 32550l2 [1,1,0,-148025,21853125] 2 [-409:3971:1]&[25:4250:1]
32550m (4 curves)	1	2+ 3+ 5+ 7- 31-	2+ 3+ 5+ 7-  0 -2 -6  4
Curve Equation t Generators 32550m1 [1,1,0,-49975,-4320875] 2 [-129:68:1] 32550m2 [1,1,0,-51975,-3958875] 4 [-135:855:1] 32550m3 [1,1,0,87525,-21396375] 2 [240:3555:1] 32550m4 [1,1,0,-223475,36686625] 2 [145:2640:1]
32550n (4 curves)	1	2+ 3+ 5+ 7- 31-	2+ 3+ 5+ 7-  0  6  2 -4
Curve Equation t Generators 32550n1 [1,1,0,-1181875,-234921875] 2 [287355866490:-18256805152445:67419143] 32550n2 [1,1,0,-9373875,10881622125] 4 [-2161:146176:1] 32550n3 [1,1,0,-445875,30764278125] 2 [4230:321285:1] 32550n4 [1,1,0,-149373875,702621622125] 2 [7051:-4099:1]
32550o (4 curves)	1	2+ 3+ 5+ 7- 31-	2+ 3+ 5+ 7-  4 -2  2  0
Curve Equation t Generators 32550o1 [1,1,0,-1050,-13500] 2 [-19:16:1] 32550o2 [1,1,0,-1550,0] 4 [-31:155:1] 32550o3 [1,1,0,6200,7750] 2 [19:355:1] 32550o4 [1,1,0,-17300,866250] 2 [-115:1220:1]
32550p (1 curve)	1	2+ 3+ 5+ 7- 31-	2+ 3+ 5+ 7- -6 -3  5 -7
Curve Equation t Generators 32550p1 [1,1,0,1250,-3500] 1 [15:130:1]
32550q (2 curves)	1	2+ 3+ 5- 7+ 31-	2+ 3+ 5- 7+  6  0 -2 -4
Curve Equation t Generators 32550q1 [1,1,0,35,1225] 2 [0:-35:1] 32550q2 [1,1,0,-1515,21375] 2 [-15:210:1]
32550r (1 curve)	0	2+ 3- 5+ 7+ 31+	2+ 3- 5+ 7+  2  2 -3 -2
Curve Equation t 32550r1 [1,0,1,-326,-20452] 1
32550s (2 curves)	0	2+ 3- 5+ 7+ 31+	2+ 3- 5+ 7+  4  2 -2  2
Curve Equation t 32550s1 [1,0,1,-2132126,715637648] 2 32550s2 [1,0,1,6615874,5089637648] 2
32550t (6 curves)	0	2+ 3- 5+ 7+ 31+	2+ 3- 5+ 7+ -4  2  6  4
Curve Equation t 32550t1 [1,0,1,497249,256078898] 2 32550t2 [1,0,1,-4304751,2897178898] 4 32550t3 [1,0,1,-19617251,-30698446102] 4 32550t4 [1,0,1,-65824251,205542411898] 2 32550t5 [1,0,1,22426499,-144468833602] 2 32550t6 [1,0,1,-306661001,-2066986808602] 2
32550u (1 curve)	1	2+ 3- 5+ 7+ 31-	2+ 3- 5+ 7+ -6  7 -7  1
Curve Equation t Generators 32550u1 [1,0,1,-20615001,36133353148] 1 [2222:-37149:1]
32550v (4 curves)	1	2+ 3- 5+ 7- 31+	2+ 3- 5+ 7-  0  2 -2  8
Curve Equation t Generators 32550v1 [1,0,1,-90926,10257248] 2 [222:901:1] 32550v2 [1,0,1,-218926,-25070752] 4 [-347:3197:1] 32550v3 [1,0,1,649074,-174366752] 2 [428:13272:1] 32550v4 [1,0,1,-3134926,-2136254752] 2 [-1022:1172:1]
32550w (4 curves)	1	2+ 3- 5+ 7- 31+	2+ 3- 5+ 7-  0  2 -6 -4
Curve Equation t Generators 32550w1 [1,0,1,-149251,58374398] 2 [112:-6619:1] 32550w2 [1,0,1,-3349251,2355974398] 4 [1262:-12444:1] 32550w3 [1,0,1,-4329251,864414398] 2 [-12:30277:1] 32550w4 [1,0,1,-53569251,150906734398] 2 [4238:-723:1]
32550x (2 curves)	1	2+ 3- 5+ 7- 31+	2+ 3- 5+ 7-  0 -4  6  0
Curve Equation t Generators 32550x1 [1,0,1,77349,4247698] 2 [437:-11244:1] 32550x2 [1,0,1,-351401,35975198] 2 [-522:9049:1]
32550y (1 curve)	0	2+ 3- 5+ 7- 31-	2+ 3- 5+ 7-  2 -2  2  4
Curve Equation t 32550y1 [1,0,1,4,8] 1
32550z (2 curves)	0	2+ 3- 5+ 7- 31-	2+ 3- 5+ 7-  2 -2 -4 -8
Curve Equation t 32550z1 [1,0,1,-325808151,-27007616943302] 2 32550z2 [1,0,1,-15638308151,-747460741943302] 2
32550ba (1 curve)	0	2+ 3- 5+ 7- 31-	2+ 3- 5+ 7-  2  3  1  7
Curve Equation t 32550ba1 [1,0,1,-4026,115948] 1
32550bb (1 curve)	0	2+ 3- 5+ 7- 31-	2+ 3- 5+ 7-  2 -6 -2  4
Curve Equation t 32550bb1 [1,0,1,-13451,-669202] 1
32550bc (6 curves)	0	2+ 3- 5+ 7- 31-	2+ 3- 5+ 7-  4  2  6 -4
Curve Equation t 32550bc1 [1,0,1,-2601,-6061652] 2 32550bc2 [1,0,1,-514601,-140205652] 4 32550bc3 [1,0,1,-1018601,179330348] 2 32550bc4 [1,0,1,-8202601,-9042909652] 4 32550bc5 [1,0,1,-8171601,-9114643652] 2 32550bc6 [1,0,1,-131241601,-578713479652] 2
32550bd (4 curves)	0	2+ 3- 5+ 7- 31-	2+ 3- 5+ 7- -4 -2  2  4
Curve Equation t 32550bd1 [1,0,1,-22026,733948] 2 32550bd2 [1,0,1,-310026,66397948] 4 32550bd3 [1,0,1,-268026,85045948] 2 32550bd4 [1,0,1,-4960026,4251397948] 2
32550be (1 curve)	0	2+ 3- 5+ 7- 31-	2+ 3- 5+ 7- -5  5  3 -1
Curve Equation t 32550be1 [1,0,1,-1,1148] 1
32550bf (1 curve)	1	2+ 3- 5- 7+ 31+	2+ 3- 5- 7+  0  3  5  1
Curve Equation t Generators 32550bf1 [1,0,1,-123701,-76869952] 1 [627:9286:1]
32550bg (1 curve)	0	2+ 3- 5- 7+ 31-	2+ 3- 5- 7+  2  2  3 -6
Curve Equation t 32550bg1 [1,0,1,-223576,-40747702] 1
32550bh (2 curves)	0	2+ 3- 5- 7- 31+	2+ 3- 5- 7-  6  4 -6 -4
Curve Equation t 32550bh1 [1,0,1,32124424,358416473798] 2 32550bh2 [1,0,1,-602755576,5356191833798] 2
32550bi (2 curves)	1	2+ 3- 5- 7- 31-	2+ 3- 5- 7-  0 -1 -3 -1
Curve Equation t Generators 32550bi1 [1,0,1,-10951,440798] 3 [61:-4:1] 32550bi2 [1,0,1,17174,2139548] 1 [133:2537:1]
32550bj (2 curves)	1	2+ 3- 5- 7- 31-	2+ 3- 5- 7-  0  5  3 -1
Curve Equation t Generators 32550bj1 [1,0,1,-1017251,-404348002] 3 [1287:19816:1] 32550bj2 [1,0,1,-82938626,-290732571052] 1 [25101:3653881:1]
32550bk (2 curves)	1	2+ 3- 5- 7- 31-	2+ 3- 5- 7- -6  2  3  2
Curve Equation t Generators 32550bk1 [1,0,1,-37201,3144548] 3 [-173:2186:1] 32550bk2 [1,0,1,253424,-13479202] 1 [5187:173009:27]
32550bl (2 curves)	0	2- 3+ 5+ 7+ 31+	2- 3+ 5+ 7+  0  2  6  2
Curve Equation t 32550bl1 [1,1,1,-234913,-39594469] 2 32550bl2 [1,1,1,311837,-195964969] 2
32550bm (1 curve)	0	2- 3+ 5+ 7+ 31+	2- 3+ 5+ 7+ -2  5 -3  1
Curve Equation t 32550bm1 [1,1,1,-5963,-1016719] 1
32550bn (2 curves)	0	2- 3+ 5+ 7+ 31+	2- 3+ 5+ 7+  4  2  6 -2
Curve Equation t 32550bn1 [1,1,1,-68838,6906531] 2 32550bn2 [1,1,1,-41838,12414531] 2
32550bo (2 curves)	2	2- 3+ 5+ 7+ 31+	2- 3+ 5+ 7+ -6 -4  0 -4
Curve Equation t Generators 32550bo1 [1,1,1,-788,13781] 2 [15:-83:1]&[-210:1151:8] 32550bo2 [1,1,1,-14788,685781] 2 [-125:837:1]&[-1:837:1]
32550bp (2 curves)	1	2- 3+ 5+ 7+ 31-	2- 3+ 5+ 7+  0  1  3 -1
Curve Equation t Generators 32550bp1 [1,1,1,-438,3351] 1 [1:53:1] 32550bp2 [1,1,1,687,17391] 1 [-11:98:1]
32550bq (2 curves)	1	2- 3+ 5+ 7+ 31-	2- 3+ 5+ 7+  0  1 -3 -7
Curve Equation t Generators 32550bq1 [1,1,1,-9688,363281] 1 [55:-53:1] 32550bq2 [1,1,1,10937,1630781] 1 [55:-1578:1]
32550br (4 curves)	1	2- 3+ 5+ 7+ 31-	2- 3+ 5+ 7+  0  4  6 -4
Curve Equation t Generators 32550br1 [1,1,1,-2813,1582031] 2 [99:1462:1] 32550br2 [1,1,1,-221563,39644531] 2 [-4210:28451:8] 32550br3 [1,1,1,25312,-42686719] 2 [825:-23663:1] 32550br4 [1,1,1,-1689688,-824726719] 2 [-845:1197:1]
32550bs (2 curves)	1	2- 3+ 5+ 7+ 31-	2- 3+ 5+ 7+  0 -5 -3 -1
Curve Equation t Generators 32550bs1 [1,1,1,-25431263,-50543500219] 1 [2846487:189560734:343] 32550bs2 [1,1,1,-2073465638,-36341571381469] 1 [2271791487:-5847628324439:343]
32550bt (2 curves)	1	2- 3+ 5+ 7+ 31-	2- 3+ 5+ 7+ -3  1 -3 -1
Curve Equation t Generators 32550bt1 [1,1,1,1837,675281] 1 [-49:710:1] 32550bt2 [1,1,1,-16538,-18250969] 1 [329:3307:1]
32550bu (4 curves)	1	2- 3+ 5+ 7+ 31-	2- 3+ 5+ 7+  6 -2 -6 -4
Curve Equation t Generators 32550bu1 [1,1,1,-4638,99531] 2 [-29:473:1] 32550bu2 [1,1,1,8862,585531] 2 [21:873:1] 32550bu3 [1,1,1,-107013,-13508469] 2 [-191:188:1] 32550bu4 [1,1,1,-83013,-19700469] 2 [609:12188:1]
32550bv (2 curves)	1	2- 3+ 5+ 7+ 31-	2- 3+ 5+ 7+ -6 -2 -3  2
Curve Equation t Generators 32550bv1 [1,1,1,-1488,24561] 1 [-21:-207:1] 32550bv2 [1,1,1,10137,-103779] 1 [99:-1422:1]
32550bw (1 curve)	1	2- 3+ 5+ 7- 31+	2- 3+ 5+ 7-  0 -3 -5  1
Curve Equation t Generators 32550bw1 [1,1,1,-4948,-616939] 1 [221:-3135:1]
32550bx (1 curve)	1	2- 3+ 5+ 7- 31+	2- 3+ 5+ 7-  2  1  1 -5
Curve Equation t Generators 32550bx1 [1,1,1,687,-15219] 1 [270:1611:8]
32550by (2 curves)	1	2- 3+ 5+ 7- 31+	2- 3+ 5+ 7-  2 -2 -2 -2
Curve Equation t Generators 32550by1 [1,1,1,-159138,21530031] 2 [121:1955:1] 32550by2 [1,1,1,-2463138,1486874031] 2 [865:-2533:1]
32550bz (1 curve)	0	2- 3+ 5+ 7- 31-	2- 3+ 5+ 7-  0  5 -3  3
Curve Equation t 32550bz1 [1,1,1,-12338,-1327969] 1
32550ca (1 curve)	0	2- 3+ 5+ 7- 31-	2- 3+ 5+ 7-  2 -2 -3 -6
Curve Equation t 32550ca1 [1,1,1,-8943,-329559] 1
32550cb (2 curves)	0	2- 3+ 5+ 7- 31-	2- 3+ 5+ 7- -6  2 -6  6
Curve Equation t 32550cb1 [1,1,1,-263,281] 2 32550cb2 [1,1,1,-2513,-49219] 2
32550cc (2 curves)	1	2- 3+ 5- 7+ 31+	2- 3+ 5- 7+  6 -4  6 -4
Curve Equation t Generators 32550cc1 [1,1,1,1284977,2867845781] 2 [4635:-331598:1] 32550cc2 [1,1,1,-24110223,42839890581] 2 [-485:233522:1]
32550cd (1 curve)	0	2- 3+ 5- 7+ 31-	2- 3+ 5- 7+  2  2 -2  4
Curve Equation t 32550cd1 [1,1,1,112,1031] 1
32550ce (1 curve)	0	2- 3+ 5- 7+ 31-	2- 3+ 5- 7+  2  6  2  4
Curve Equation t 32550ce1 [1,1,1,-538,-5569] 1
32550cf (1 curve)	0	2- 3+ 5- 7- 31+	2- 3+ 5- 7-  2 -2  3 -2
Curve Equation t 32550cf1 [1,1,1,-13,-169] 1
32550cg (2 curves)	1	2- 3- 5+ 7+ 31+	2- 3- 5+ 7+ -2 -4 -4  4
Curve Equation t Generators 32550cg1 [1,0,0,5937,-607383] 2 [132:-1641:1] 32550cg2 [1,0,0,-81563,-8219883] 2 [-194:655:1]
32550ch (2 curves)	0	2- 3- 5+ 7+ 31-	2- 3- 5+ 7+  0  6  2 -2
Curve Equation t 32550ch1 [1,0,0,-4738,-110908] 2 32550ch2 [1,0,0,7262,-578908] 2
32550ci (1 curve)	0	2- 3- 5+ 7- 31+	2- 3- 5+ 7-  2 -1 -3 -3
Curve Equation t 32550ci1 [1,0,0,-21963,-1318833] 1
32550cj (2 curves)	1	2- 3- 5+ 7- 31-	2- 3- 5+ 7-  2 -4  4 -4
Curve Equation t Generators 32550cj1 [1,0,0,-5688,178992] 2 [-18:534:1] 32550cj2 [1,0,0,-93188,10941492] 2 [168:102:1]
32550ck (2 curves)	1	2- 3- 5+ 7- 31-	2- 3- 5+ 7- -2  2 -6  2
Curve Equation t Generators 32550ck1 [1,0,0,-271963,54566417] 2 [296:-1:1] 32550ck2 [1,0,0,-280963,50759417] 2 [-4:7205:1]
32550cl (2 curves)	1	2- 3- 5+ 7- 31-	2- 3- 5+ 7- -2 -4  0 -4
Curve Equation t Generators 32550cl1 [1,0,0,714462,20026692] 2 [132:-10866:1] 32550cl2 [1,0,0,-2869538,159802692] 2 [-572:40462:1]
32550cm (1 curve)	1	2- 3- 5+ 7- 31-	2- 3- 5+ 7- -4 -1  1  5
Curve Equation t Generators 32550cm1 [1,0,0,1503062,-1026732508] 1 [1472:65414:1]
32550cn (4 curves)	1	2- 3- 5+ 7- 31-	2- 3- 5+ 7- -4  6 -2 -8
Curve Equation t Generators 32550cn1 [1,0,0,1162,-15708] 2 [156:1914:1] 32550cn2 [1,0,0,-6838,-151708] 4 [-58:254:1] 32550cn3 [1,0,0,-41838,3173292] 2 [-58:2354:1] 32550cn4 [1,0,0,-99838,-12148708] 2 [-182:130:1]
32550co (1 curve)	0	2- 3- 5- 7+ 31+	2- 3- 5- 7+  2 -6  6  4
Curve Equation t 32550co1 [1,0,0,-548165513,-22446054778983] 1
32550cp (2 curves)	0	2- 3- 5- 7- 31-	2- 3- 5- 7-  6  0  2 -4
Curve Equation t 32550cp1 [1,0,0,862,151392] 2 32550cp2 [1,0,0,-37888,2747642] 2

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