Cremona's table of elliptic curves

36120 = 2³ · 3 · 5 · 7 · 43

Class	r	Atkin-Lehner	Eigenvalues
36120a (2 curves)	1	2+ 3+ 5+ 7+ 43+	2+ 3+ 5+ 7+  0  4 -2 -6
Curve Equation t Generators 36120a1 [0,-1,0,-271,-1004] 2 [-9:25:1] 36120a2 [0,-1,0,804,-7884] 2 [34:240:1]
36120b (4 curves)	0	2+ 3+ 5+ 7+ 43-	2+ 3+ 5+ 7+  0 -2  2  4
Curve Equation t 36120b1 [0,-1,0,609,20580] 4 36120b2 [0,-1,0,-8636,286836] 4 36120b3 [0,-1,0,-30136,-1682564] 2 36120b4 [0,-1,0,-135056,19148700] 2
36120c (4 curves)	0	2+ 3+ 5+ 7+ 43-	2+ 3+ 5+ 7+ -4 -2  2  4
Curve Equation t 36120c1 [0,-1,0,1204,-19404] 2 36120c2 [0,-1,0,-7616,-185220] 4 36120c3 [0,-1,0,-43736,3383436] 2 36120c4 [0,-1,0,-112616,-14507220] 2
36120d (4 curves)	0	2+ 3+ 5+ 7- 43+	2+ 3+ 5+ 7-  0  2 -2 -8
Curve Equation t 36120d1 [0,-1,0,-17431,-880004] 2 36120d2 [0,-1,0,-17676,-853740] 4 36120d3 [0,-1,0,12424,-3490500] 2 36120d4 [0,-1,0,-51696,3459996] 2
36120e (2 curves)	0	2+ 3+ 5+ 7- 43+	2+ 3+ 5+ 7-  0  2  4  4
Curve Equation t 36120e1 [0,-1,0,-11413491,14784434280] 2 36120e2 [0,-1,0,-5554116,29939121780] 2
36120f (2 curves)	1	2+ 3+ 5+ 7- 43-	2+ 3+ 5+ 7-  4 -6  4 -4
Curve Equation t Generators 36120f1 [0,-1,0,-4291,-162320] 2 [123:-1075:1] 36120f2 [0,-1,0,-78036,-8362764] 2 [-162:36:1]
36120g (2 curves)	0	2+ 3+ 5- 7+ 43+	2+ 3+ 5- 7+  0 -4  4  8
Curve Equation t 36120g1 [0,-1,0,-320,4092] 2 36120g2 [0,-1,0,-6200,189900] 2
36120h (1 curve)	1	2+ 3+ 5- 7+ 43-	2+ 3+ 5- 7+  2  1 -4  4
Curve Equation t Generators 36120h1 [0,-1,0,-105,525] 1 [5:-10:1]
36120i (2 curves)	1	2+ 3+ 5- 7- 43+	2+ 3+ 5- 7-  4 -2  4 -4
Curve Equation t Generators 36120i1 [0,-1,0,-75,0] 2 [-5:15:1] 36120i2 [0,-1,0,300,-300] 2 [10:60:1]
36120j (2 curves)	0	2+ 3+ 5- 7- 43-	2+ 3+ 5- 7-  0  6  0  4
Curve Equation t 36120j1 [0,-1,0,125,-1448] 2 36120j2 [0,-1,0,-1380,-17100] 2
36120k (2 curves)	0	2+ 3- 5+ 7+ 43+	2+ 3- 5+ 7+  2 -2  4  2
Curve Equation t 36120k1 [0,1,0,-14796,-393120] 2 36120k2 [0,1,0,47704,-2793120] 2
36120l (4 curves)	1	2+ 3- 5+ 7+ 43-	2+ 3- 5+ 7+ -4  2  2  0
Curve Equation t Generators 36120l1 [0,1,0,-2556,94464] 2 [192:2592:1] 36120l2 [0,1,0,-50576,4358640] 4 [-113:2940:1] 36120l3 [0,1,0,-60376,2539760] 2 [251:1806:1] 36120l4 [0,1,0,-809096,279853104] 2 [919:17700:1]
36120m (4 curves)	1	2+ 3- 5+ 7+ 43-	2+ 3- 5+ 7+ -4 -6  2 -4
Curve Equation t Generators 36120m1 [0,1,0,-231,-1410] 2 [-222:28:27] 36120m2 [0,1,0,-476,1824] 4 [-8:72:1] 36120m3 [0,1,0,1624,15264] 2 [27:282:1] 36120m4 [0,1,0,-6496,199280] 2 [-28:600:1]
36120n (1 curve)	1	2+ 3- 5+ 7- 43+	2+ 3- 5+ 7- -2  1  0  4
Curve Equation t Generators 36120n1 [0,1,0,839,-2581] 1 [47:378:1]
36120o (4 curves)	1	2+ 3- 5+ 7- 43+	2+ 3- 5+ 7- -4  2 -2 -4
Curve Equation t Generators 36120o1 [0,1,0,-911,-10890] 2 [46:216:1] 36120o2 [0,1,0,-1036,-7840] 4 [-13:60:1] 36120o3 [0,1,0,3264,-52560] 2 [36:336:1] 36120o4 [0,1,0,-7336,234080] 2 [71:276:1]
36120p (1 curve)	0	2+ 3- 5+ 7- 43-	2+ 3- 5+ 7-  1  6  2 -2
Curve Equation t 36120p1 [0,1,0,-376,3440] 1
36120q (2 curves)	1	2+ 3- 5- 7+ 43+	2+ 3- 5- 7+  0  4 -6 -6
Curve Equation t Generators 36120q1 [0,1,0,-44135,-3562842] 2 [-119:135:1] 36120q2 [0,1,0,-17260,-7830592] 2 [416:7560:1]
36120r (2 curves)	1	2+ 3- 5- 7- 43-	2+ 3- 5- 7- -2 -6 -4 -2
Curve Equation t Generators 36120r1 [0,1,0,-929020,344346368] 2 [551:-210:1] 36120r2 [0,1,0,-926520,346294368] 2 [-84:20580:1]
36120s (2 curves)	1	2+ 3- 5- 7- 43-	2+ 3- 5- 7- -4  0 -6 -2
Curve Equation t Generators 36120s1 [0,1,0,-495,-4050] 2 [-15:15:1] 36120s2 [0,1,0,580,-18240] 2 [28:144:1]
36120t (4 curves)	1	2- 3+ 5+ 7- 43+	2- 3+ 5+ 7-  4 -2  6 -4
Curve Equation t Generators 36120t1 [0,-1,0,-6791,-168384] 2 [-55:189:1] 36120t2 [0,-1,0,-34916,2374116] 4 [-172:1806:1] 36120t3 [0,-1,0,29584,10088316] 2 [-122:2156:1] 36120t4 [0,-1,0,-549416,156929916] 2 [430:56:1]
36120u (2 curves)	0	2- 3+ 5+ 7- 43-	2- 3+ 5+ 7-  0  0  6 -2
Curve Equation t 36120u1 [0,-1,0,-151191,-22577184] 2 36120u2 [0,-1,0,-150116,-22915164] 2
36120v (1 curve)	2	2- 3+ 5+ 7- 43-	2- 3+ 5+ 7- -1 -7  1  0
Curve Equation t Generators 36120v1 [0,-1,0,73719,1302525] 1 [-17:210:1]&[1194:31605:8]
36120w (2 curves)	0	2- 3+ 5- 7- 43+	2- 3+ 5- 7-  2  6  0 -6
Curve Equation t 36120w1 [0,-1,0,-2100,-36348] 2 36120w2 [0,-1,0,-2000,-40068] 2
36120x (2 curves)	0	2- 3+ 5- 7- 43+	2- 3+ 5- 7-  4 -6  0  2
Curve Equation t 36120x1 [0,-1,0,280,-64068] 2 36120x2 [0,-1,0,-22400,-1252500] 2
36120y (4 curves)	0	2- 3+ 5- 7- 43+	2- 3+ 5- 7- -4  6  6  0
Curve Equation t 36120y1 [0,-1,0,-373005540,2864241684612] 4 36120y2 [0,-1,0,-6022510520,179894869935900] 4 36120y3 [0,-1,0,-6076965200,176476009088652] 2 36120y4 [0,-1,0,-96360135520,11513183546785900] 2
36120z (2 curves)	1	2- 3+ 5- 7- 43-	2- 3+ 5- 7- -4 -4 -2  2
Curve Equation t Generators 36120z1 [0,-1,0,-180,-2268] 2 [32:154:1] 36120z2 [0,-1,0,-3960,-94500] 2 [86:440:1]
36120ba (2 curves)	1	2- 3- 5+ 7+ 43+	2- 3- 5+ 7+  0 -4 -6  2
Curve Equation t Generators 36120ba1 [0,1,0,44,224] 2 [2:18:1] 36120ba2 [0,1,0,-376,2240] 2 [16:24:1]
36120bb (4 curves)	0	2- 3- 5+ 7+ 43-	2- 3- 5+ 7+  4  6 -2  4
Curve Equation t 36120bb1 [0,1,0,-791,2370] 2 36120bb2 [0,1,0,-10036,383264] 4 36120bb3 [0,1,0,-7456,587600] 2 36120bb4 [0,1,0,-160536,24704064] 2
36120bc (6 curves)	0	2- 3- 5- 7+ 43+	2- 3- 5- 7+  4  6  2  4
Curve Equation t 36120bc1 [0,1,0,-64895,6317850] 4 36120bc2 [0,1,0,-97700,-781152] 8 36120bc3 [0,1,0,389920,-5852400] 4 36120bc4 [0,1,0,-1110200,-449521152] 4 36120bc5 [0,1,0,-669200,-809729952] 2 36120bc6 [0,1,0,-17751200,-28792472352] 2
36120bd (4 curves)	0	2- 3- 5- 7+ 43+	2- 3- 5- 7+ -4  6  6 -4
Curve Equation t 36120bd1 [0,1,0,-1975,-28750] 4 36120bd2 [0,1,0,-30100,-2020000] 4 36120bd3 [0,1,0,-28600,-2228800] 2 36120bd4 [0,1,0,-481600,-128801200] 2

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