Cremona's table of elliptic curves

60450 = 2 · 3 · 5² · 13 · 31

Class	r	Atkin-Lehner	Eigenvalues
60450a (1 curve)	1	2+ 3+ 5+ 13+ 31+	2+ 3+ 5+ -1 -5 13+  4 -3
Curve Equation t Generators 60450a1 [1,1,0,8500,75000] 1 [475:10325:1]
60450b (1 curve)	1	2+ 3+ 5+ 13+ 31+	2+ 3+ 5+  2  1 13+ -8 -3
Curve Equation t Generators 60450b1 [1,1,0,-3400,-80000] 1 [200:2600:1]
60450c (2 curves)	1	2+ 3+ 5+ 13+ 31+	2+ 3+ 5+  2 -2 13+ -2 -6
Curve Equation t Generators 60450c1 [1,1,0,-992375,-119632875] 2 [-102205:1561417:125] 60450c2 [1,1,0,-8992375,10288367125] 2 [-2985:104180:1]
60450d (1 curve)	1	2+ 3+ 5+ 13+ 31+	2+ 3+ 5+  3 -1 13+  6  5
Curve Equation t Generators 60450d1 [1,1,0,-87250,12536500] 1 [245:2315:1]
60450e (2 curves)	0	2+ 3+ 5+ 13+ 31-	2+ 3+ 5+  1  0 13+ -3 -4
Curve Equation t 60450e1 [1,1,0,3100,-93000] 1 60450e2 [1,1,0,-104150,-13031250] 1
60450f (2 curves)	0	2+ 3+ 5+ 13+ 31-	2+ 3+ 5+  1  3 13+  6 -7
Curve Equation t 60450f1 [1,1,0,-181025,-41116875] 1 60450f2 [1,1,0,-16177025,-25050304875] 1
60450g (1 curve)	0	2+ 3+ 5+ 13+ 31-	2+ 3+ 5+  1 -5 13+  2  1
Curve Equation t 60450g1 [1,1,0,-16966160525,850589195500125] 1
60450h (4 curves)	0	2+ 3+ 5+ 13+ 31-	2+ 3+ 5+  4  0 13+ -6  8
Curve Equation t 60450h1 [1,1,0,-53625,4753125] 2 60450h2 [1,1,0,-40625,7132125] 2 60450h3 [1,1,0,-196125,-28464375] 2 60450h4 [1,1,0,353125,-158636625] 2
60450i (2 curves)	0	2+ 3+ 5+ 13+ 31-	2+ 3+ 5+  4 -2 13+ -4  4
Curve Equation t 60450i1 [1,1,0,-8775,-5236875] 2 60450i2 [1,1,0,-508775,-138736875] 2
60450j (1 curve)	0	2+ 3+ 5+ 13- 31+	2+ 3+ 5+  2  3 13-  0 -3
Curve Equation t 60450j1 [1,1,0,-54125,-4869375] 1
60450k (1 curve)	2	2+ 3+ 5+ 13- 31+	2+ 3+ 5+ -2 -1 13- -4 -2
Curve Equation t Generators 60450k1 [1,1,0,-1330,18160] 1 [-322:899:8]&[34:100:1]
60450l (2 curves)	0	2+ 3+ 5+ 13- 31+	2+ 3+ 5+ -2  2 13-  2 -2
Curve Equation t 60450l1 [1,1,0,-447750,-30187500] 2 60450l2 [1,1,0,-5567750,-5052907500] 2
60450m (1 curve)	0	2+ 3+ 5+ 13- 31+	2+ 3+ 5+ -2  2 13-  2 -5
Curve Equation t 60450m1 [1,1,0,215300,-124132250] 1
60450n (2 curves)	0	2+ 3+ 5+ 13- 31+	2+ 3+ 5+  4 -4 13-  2  4
Curve Equation t 60450n1 [1,1,0,-114750,4524000] 2 60450n2 [1,1,0,434500,35831250] 2
60450o (1 curve)	0	2+ 3+ 5+ 13- 31+	2+ 3+ 5+ -5 -4 13- -7  4
Curve Equation t 60450o1 [1,1,0,-30508491500,41095560614034000] 1
60450p (1 curve)	1	2+ 3+ 5+ 13- 31-	2+ 3+ 5+ -2 -6 13-  2 -1
Curve Equation t Generators 60450p1 [1,1,0,-1203830,-4723156140] 1 [52437:416477:27]
60450q (4 curves)	1	2+ 3+ 5+ 13- 31-	2+ 3+ 5+  4  0 13-  2 -4
Curve Equation t Generators 60450q1 [1,1,0,-9000,-216000] 2 [-31:201:1] 60450q2 [1,1,0,-59000,5334000] 4 [-35:2730:1] 60450q3 [1,1,0,18500,18431500] 2 [-30:4240:1] 60450q4 [1,1,0,-936500,348436500] 4 [571:236:1]
60450r (2 curves)	0	2+ 3+ 5- 13+ 31+	2+ 3+ 5-  2  0 13+  0  8
Curve Equation t 60450r1 [1,1,0,-132665,18543525] 2 60450r2 [1,1,0,-133465,18307525] 2
60450s (2 curves)	0	2+ 3+ 5- 13+ 31+	2+ 3+ 5-  2  4 13+ -4  0
Curve Equation t 60450s1 [1,1,0,-373700,87714000] 2 60450s2 [1,1,0,-453700,47314000] 2
60450t (2 curves)	0	2+ 3+ 5- 13+ 31+	2+ 3+ 5- -2  0 13+  4 -4
Curve Equation t 60450t1 [1,1,0,-246825,46604625] 2 60450t2 [1,1,0,-458075,-45289125] 2
60450u (2 curves)	0	2+ 3+ 5- 13+ 31+	2+ 3+ 5- -2  0 13+  4 -4
Curve Equation t 60450u1 [1,1,0,-2456057450,-45639867523500] 2 60450u2 [1,1,0,-39014137450,-2966082088323500] 2
60450v (1 curve)	0	2+ 3+ 5- 13+ 31+	2+ 3+ 5- -2 -3 13+  4 -1
Curve Equation t 60450v1 [1,1,0,-7531695,-8364292875] 1
60450w (1 curve)	1	2+ 3+ 5- 13+ 31-	2+ 3+ 5-  2 -2 13+ -2 -5
Curve Equation t Generators 60450w1 [1,1,0,6175,67125] 1 [-42:1509:8]
60450x (2 curves)	1	2+ 3+ 5- 13+ 31-	2+ 3+ 5- -4  0 13+ -6  6
Curve Equation t Generators 60450x1 [1,1,0,-1950,-103500] 2 [69:276:1] 60450x2 [1,1,0,-46950,-3928500] 2 [-129:111:1]
60450y (2 curves)	1	2+ 3+ 5- 13+ 31-	2+ 3+ 5- -4  4 13+  6 -2
Curve Equation t Generators 60450y1 [1,1,0,4665,165825] 2 [-20:265:1] 60450y2 [1,1,0,-31785,1660275] 2 [51:393:1]
60450z (1 curve)	1	2+ 3+ 5- 13- 31+	2+ 3+ 5- -2 -1 13- -4  3
Curve Equation t Generators 60450z1 [1,1,0,-1728005,-875034675] 1 [2890:133755:1]
60450ba (2 curves)	1	2+ 3+ 5- 13- 31+	2+ 3+ 5-  4 -4 13-  2 -6
Curve Equation t Generators 60450ba1 [1,1,0,63675,-637875] 2 [23093:671014:343] 60450ba2 [1,1,0,-256325,-5437875] 2 [-401:5951:1]
60450bb (2 curves)	0	2+ 3+ 5- 13- 31-	2+ 3+ 5- -2 -4 13- -4  4
Curve Equation t 60450bb1 [1,1,0,-17450,826500] 2 60450bb2 [1,1,0,15050,3589000] 2
60450bc (2 curves)	0	2+ 3- 5+ 13+ 31+	2+ 3- 5+  0  4 13+ -6  4
Curve Equation t 60450bc1 [1,0,1,-18630251,30934557398] 2 60450bc2 [1,0,1,-15302251,42336285398] 2
60450bd (1 curve)	1	2+ 3- 5+ 13+ 31-	2+ 3- 5+ -3 -4 13+  3  6
Curve Equation t Generators 60450bd1 [1,0,1,-276,1948] 1 [2:36:1]
60450be (2 curves)	1	2+ 3- 5+ 13- 31+	2+ 3- 5+  2  0 13-  0  6
Curve Equation t Generators 60450be1 [1,0,1,2465599,-265047052] 2 [2916316:-185796552:4913] 60450be2 [1,0,1,-10034401,-2140047052] 2 [4482:204946:1]
60450bf (4 curves)	0	2+ 3- 5+ 13- 31-	2+ 3- 5+  0 -4 13-  2  8
Curve Equation t 60450bf1 [1,0,1,749,-5602] 2 60450bf2 [1,0,1,-3751,-50602] 4 60450bf3 [1,0,1,-27001,1669898] 2 60450bf4 [1,0,1,-52501,-4633102] 2
60450bg (2 curves)	0	2+ 3- 5+ 13- 31-	2+ 3- 5+ -2  2 13-  6  2
Curve Equation t 60450bg1 [1,0,1,-57751,-3632602] 2 60450bg2 [1,0,1,-839001,-295820102] 2
60450bh (1 curve)	0	2+ 3- 5+ 13- 31-	2+ 3- 5+  3  5 13- -4 -7
Curve Equation t 60450bh1 [1,0,1,-78244251,-266424000602] 1
60450bi (1 curve)	0	2+ 3- 5+ 13- 31-	2+ 3- 5+ -3 -4 13- -1 -4
Curve Equation t 60450bi1 [1,0,1,10811874,4613115898] 1
60450bj (4 curves)	0	2+ 3- 5+ 13- 31-	2+ 3- 5+  4 -4 13-  6 -4
Curve Equation t 60450bj1 [1,0,1,939140249,16749432193898] 2 60450bj2 [1,0,1,-6933371751,177143991681898] 4 60450bj3 [1,0,1,-35265883751,-2393464822078102] 2 60450bj4 [1,0,1,-104561051751,13013036102721898] 2
60450bk (1 curve)	1	2+ 3- 5- 13+ 31+	2+ 3- 5- -2  3 13+  4 -2
Curve Equation t Generators 60450bk1 [1,0,1,-8938951,10744204298] 1 [4327:228236:1]
60450bl (2 curves)	0	2+ 3- 5- 13+ 31-	2+ 3- 5-  2 -4 13+  8 -4
Curve Equation t 60450bl1 [1,0,1,-198076,29506298] 2 60450bl2 [1,0,1,321924,158466298] 2
60450bm (1 curve)	2	2+ 3- 5- 13+ 31-	2+ 3- 5- -4  0 13+ -3 -8
Curve Equation t Generators 60450bm1 [1,0,1,-476,6698] 1 [-27:19:1]&[-18:106:1]
60450bn (2 curves)	0	2+ 3- 5- 13- 31+	2+ 3- 5-  2  0 13-  0 -4
Curve Equation t 60450bn1 [1,0,1,-128933701,-563509959952] 2 60450bn2 [1,0,1,-132313701,-532407199952] 2
60450bo (1 curve)	0	2+ 3- 5- 13- 31+	2+ 3- 5-  2  3 13-  0 -1
Curve Equation t 60450bo1 [1,0,1,104,-4762] 1
60450bp (1 curve)	1	2+ 3- 5- 13- 31-	2+ 3- 5- -2  2 13-  6 -3
Curve Equation t Generators 60450bp1 [1,0,1,-40001,-3783052] 1 [34122:1179634:27]
60450bq (1 curve)	0	2- 3+ 5+ 13+ 31+	2- 3+ 5+ -1  4 13+  1  0
Curve Equation t 60450bq1 [1,1,1,463787,-39078469] 1
60450br (1 curve)	0	2- 3+ 5+ 13+ 31+	2- 3+ 5+  2 -1 13+  4  1
Curve Equation t 60450br1 [1,1,1,145162,-15315469] 1
60450bs (4 curves)	0	2- 3+ 5+ 13+ 31+	2- 3+ 5+  4  4 13+  2  0
Curve Equation t 60450bs1 [1,1,1,-51838,-4560469] 2 60450bs2 [1,1,1,-64338,-2210469] 4 60450bs3 [1,1,1,239412,-16790469] 2 60450bs4 [1,1,1,-568088,163019531] 2
60450bt (3 curves)	1	2- 3+ 5+ 13+ 31-	2- 3+ 5+  1  0 13+ -3  2
Curve Equation t Generators 60450bt1 [1,1,1,-153513,23087031] 1 [225:-138:1] 60450bt2 [1,1,1,-75888,46435281] 1 [165:-6283:1] 60450bt3 [1,1,1,679737,-1221201219] 1 [6795:559802:1]
60450bu (1 curve)	1	2- 3+ 5+ 13+ 31-	2- 3+ 5+  2 -1 13+  0  3
Curve Equation t Generators 60450bu1 [1,1,1,41466437,227106694781] 1 [322792592017558085:46563704012175643836:17999147091743]
60450bv (1 curve)	1	2- 3+ 5+ 13+ 31-	2- 3+ 5+  2  2 13+ -6 -3
Curve Equation t Generators 60450bv1 [1,1,1,-1000013,-472881469] 1 [1879:64532:1]
60450bw (2 curves)	1	2- 3+ 5+ 13+ 31-	2- 3+ 5+  2  4 13+  0 -2
Curve Equation t Generators 60450bw1 [1,1,1,14187,369531] 2 [39:-1012:1] 60450bw2 [1,1,1,-65813,3089531] 2 [351:-5012:1]
60450bx (4 curves)	1	2- 3+ 5+ 13+ 31-	2- 3+ 5+ -2 -6 13+  6  2
Curve Equation t Generators 60450bx1 [1,1,1,-958088,360558281] 2 [575:137:1] 60450bx2 [1,1,1,-963088,356598281] 2 [-85:20967:1] 60450bx3 [1,1,1,-1138463,215107781] 2 [1595:-50398:1] 60450bx4 [1,1,1,-9138463,-10488892219] 2 [-1795:12522:1]
60450by (4 curves)	1	2- 3+ 5+ 13- 31+	2- 3+ 5+  0 -4 13- -6  8
Curve Equation t Generators 60450by1 [1,1,1,-32827338,88514147031] 4 [-3535:402267:1] 60450by2 [1,1,1,-557115338,5060861539031] 4 [14345:138427:1] 60450by3 [1,1,1,-589115338,4446845539031] 2 [-11795:3129147:1] 60450by4 [1,1,1,-8913723338,323915596387031] 2 [54521:-22277:1]
60450bz (1 curve)	1	2- 3+ 5+ 13- 31+	2- 3+ 5+ -1 -3 13-  8  1
Curve Equation t Generators 60450bz1 [1,1,1,-4027588,-3120292969] 1 [6325127891450:80139078148641:2639514968]
60450ca (1 curve)	1	2- 3+ 5+ 13- 31+	2- 3+ 5+  2  3 13- -4 -2
Curve Equation t Generators 60450ca1 [1,1,1,-357558,85810611] 1 [289:-2737:1]
60450cb (1 curve)	1	2- 3+ 5+ 13- 31+	2- 3+ 5+  3 -4 13- -3  2
Curve Equation t Generators 60450cb1 [1,1,1,-13,-9469] 1 [55:-428:1]
60450cc (4 curves)	1	2- 3+ 5+ 13- 31+	2- 3+ 5+ -4  4 13- -2  4
Curve Equation t Generators 60450cc1 [1,1,1,-24713,-1072969] 4 [-59:458:1] 60450cc2 [1,1,1,-362713,-84220969] 4 [1905:77422:1] 60450cc3 [1,1,1,-330213,-99885969] 2 [51357:2093150:27] 60450cc4 [1,1,1,-5803213,-5383267969] 2 [3732465:24923102:1331]
60450cd (1 curve)	0	2- 3+ 5+ 13- 31-	2- 3+ 5+  1  0 13- -3  4
Curve Equation t 60450cd1 [1,1,1,-632838,-247445469] 1
60450ce (2 curves)	2	2- 3+ 5+ 13- 31-	2- 3+ 5+ -2 -6 13- -6 -6
Curve Equation t Generators 60450ce1 [1,1,1,-1963,281] 2 [55:222:1]&[-29:198:1] 60450ce2 [1,1,1,-21963,1240281] 2 [105:-378:1]&[-105:1602:1]
60450cf (1 curve)	0	2- 3+ 5+ 13- 31-	2- 3+ 5+  4  0 13-  3 -8
Curve Equation t 60450cf1 [1,1,1,-11888,837281] 1
60450cg (2 curves)	1	2- 3+ 5- 13+ 31+	2- 3+ 5- -2  0 13+  0 -4
Curve Equation t Generators 60450cg1 [1,1,1,-5157348,-4510142619] 2 [3975:192477:1] 60450cg2 [1,1,1,-5292548,-4261374619] 2 [-1471:19273:1]
60450ch (1 curve)	1	2- 3+ 5- 13+ 31+	2- 3+ 5- -2  3 13+  0 -1
Curve Equation t Generators 60450ch1 [1,1,1,2612,-595219] 1 [85:457:1]
60450ci (2 curves)	1	2- 3+ 5- 13- 31-	2- 3+ 5- -2 -4 13- -8 -4
Curve Equation t Generators 60450ci1 [1,1,1,-7923,232881] 2 [9:-408:1] 60450ci2 [1,1,1,12877,1272881] 2 [169:-2968:1]
60450cj (2 curves)	1	2- 3- 5+ 13+ 31+	2- 3- 5+ -2  2 13+ -6  6
Curve Equation t Generators 60450cj1 [1,0,0,-51338,4472292] 2 [142:-296:1] 60450cj2 [1,0,0,-56338,3547292] 2 [-118:2984:1]
60450ck (1 curve)	0	2- 3- 5+ 13+ 31-	2- 3- 5+  3 -5 13+  6  1
Curve Equation t 60450ck1 [1,0,0,-963,11667] 1
60450cl (2 curves)	0	2- 3- 5+ 13- 31+	2- 3- 5+  2  2 13-  2  2
Curve Equation t 60450cl1 [1,0,0,-713,-7083] 2 60450cl2 [1,0,0,-1963,24167] 2
60450cm (1 curve)	0	2- 3- 5+ 13- 31+	2- 3- 5+  3  0 13- -5  8
Curve Equation t 60450cm1 [1,0,0,-5466563,-4938916383] 1
60450cn (4 curves)	1	2- 3- 5+ 13- 31-	2- 3- 5+  0  0 13- -2  0
Curve Equation t Generators 60450cn1 [1,0,0,-150213,22164417] 2 [282:1359:1] 60450cn2 [1,0,0,-278213,-21227583] 4 [-338:6019:1] 60450cn3 [1,0,0,1021787,-162927583] 2 [272:11489:1] 60450cn4 [1,0,0,-3626213,-2656103583] 2 [-1082:1555:1]
60450co (4 curves)	1	2- 3- 5+ 13- 31-	2- 3- 5+  0  0 13- -2  0
Curve Equation t Generators 60450co1 [1,0,0,-2660963,1670508417] 2 [1032:4359:1] 60450co2 [1,0,0,-2668963,1659956417] 4 [-1478:49489:1] 60450co3 [1,0,0,-471963,4311735417] 2 [-1608:31029:1] 60450co4 [1,0,0,-4993963,-1667118583] 2 [-1664:45955:1]
60450cp (1 curve)	1	2- 3- 5+ 13- 31-	2- 3- 5+ -2  1 13- -4 -5
Curve Equation t Generators 60450cp1 [1,0,0,-13188,-752508] 1 [192:1854:1]
60450cq (1 curve)	1	2- 3- 5+ 13- 31-	2- 3- 5+ -2 -2 13-  2 -5
Curve Equation t Generators 60450cq1 [1,0,0,247,537] 1 [16:85:1]
60450cr (1 curve)	0	2- 3- 5- 13+ 31+	2- 3- 5-  2 -1 13+  4 -2
Curve Equation t 60450cr1 [1,0,0,-33263,2336517] 1
60450cs (1 curve)	0	2- 3- 5- 13+ 31+	2- 3- 5-  2 -1 13+  4  3
Curve Equation t 60450cs1 [1,0,0,-43200138,-109292934108] 1
60450ct (1 curve)	0	2- 3- 5- 13+ 31+	2- 3- 5-  2  2 13+ -2 -5
Curve Equation t 60450ct1 [1,0,0,8612,-993058] 1
60450cu (2 curves)	2	2- 3- 5- 13+ 31+	2- 3- 5- -4 -4 13+ -2 -6
Curve Equation t Generators 60450cu1 [1,0,0,2547,-5103] 2 [18:-225:1]&[12:159:1] 60450cu2 [1,0,0,-10253,-43503] 2 [142:-1241:1]&[-92:397:1]
60450cv (2 curves)	1	2- 3- 5- 13+ 31-	2- 3- 5-  2 -4 13+  4  4
Curve Equation t Generators 60450cv1 [1,0,0,-698,6612] 2 [-14:124:1] 60450cv2 [1,0,0,602,28712] 2 [-4:164:1]
60450cw (1 curve)	1	2- 3- 5- 13+ 31-	2- 3- 5-  2 -6 13+ -2 -1
Curve Equation t Generators 60450cw1 [1,0,0,-30095763,-590334325983] 1 [25278:3834585:1]
60450cx (2 curves)	1	2- 3- 5- 13- 31+	2- 3- 5-  2  0 13- -4 -4
Curve Equation t Generators 60450cx1 [1,0,0,-98242298,-365118940188] 2 [-5228:77494:1] 60450cx2 [1,0,0,-1560565498,-23728656706588] 2 [-22804:7190:1]
60450cy (2 curves)	1	2- 3- 5- 13- 31+	2- 3- 5-  2  0 13- -4 -4
Curve Equation t Generators 60450cy1 [1,0,0,-9873,372837] 2 [-674:6577:8] 60450cy2 [1,0,0,-18323,-362313] 2 [-20694:165515:216]
60450cz (1 curve)	1	2- 3- 5- 13- 31+	2- 3- 5-  2 -3 13- -4 -1
Curve Equation t Generators 60450cz1 [1,0,0,-188292388,-1045160024608] 1 [63002:15368624:1]
60450da (2 curves)	1	2- 3- 5- 13- 31+	2- 3- 5- -2  0 13-  0  8
Curve Equation t Generators 60450da1 [1,0,0,-3316638,2324573892] 2 [1068:-1470:1] 60450da2 [1,0,0,-3336638,2295113892] 2 [616:-22070:1]
60450db (2 curves)	1	2- 3- 5- 13- 31+	2- 3- 5- -2  4 13-  4  0
Curve Equation t Generators 60450db1 [1,0,0,-14948,701712] 2 [76:40:1] 60450db2 [1,0,0,-18148,378512] 2 [2:584:1]
60450dc (2 curves)	0	2- 3- 5- 13- 31-	2- 3- 5-  4  0 13-  6  6
Curve Equation t 60450dc1 [1,0,0,-78,-828] 2 60450dc2 [1,0,0,-1878,-31428] 2
60450dd (2 curves)	0	2- 3- 5- 13- 31-	2- 3- 5-  4  4 13- -6 -2
Curve Equation t 60450dd1 [1,0,0,116612,20494892] 2 60450dd2 [1,0,0,-794638,209123642] 2

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