Cremona's table of elliptic curves

78120 = 2³ · 3² · 5 · 7 · 31

Class	r	Atkin-Lehner	Eigenvalues
78120a (2 curves)	0	2+ 3+ 5+ 7- 31+	2+ 3+ 5+ 7-  2  6 -6  8
Curve Equation t 78120a1 [0,0,0,-60318,5701617] 2 78120a2 [0,0,0,-56943,6367842] 2
78120b (4 curves)	0	2+ 3- 5+ 7+ 31+	2+ 3- 5+ 7+  0 -2  2  4
Curve Equation t 78120b1 [0,0,0,45593097,-1490439686902] 2 78120b2 [0,0,0,-1712219403,-26343447499402] 4 78120b3 [0,0,0,-4413344403,77275489075598] 2 78120b4 [0,0,0,-27136094403,-1720554884074402] 2
78120c (4 curves)	1	2+ 3- 5+ 7+ 31-	2+ 3- 5+ 7+  0  6 -2  4
Curve Equation t Generators 78120c1 [0,0,0,-3258,71577] 2 [49:172:1] 78120c2 [0,0,0,-3303,69498] 4 [-21:360:1] 78120c3 [0,0,0,2277,280422] 2 [142:1862:1] 78120c4 [0,0,0,-9603,-274482] 2 [-42:234:1]
78120d (4 curves)	1	2+ 3- 5+ 7- 31+	2+ 3- 5+ 7-  4 -6  6 -4
Curve Equation t Generators 78120d1 [0,0,0,-13863,-758662] 2 [146:574:1] 78120d2 [0,0,0,-234363,-43667962] 4 [6446:516026:1] 78120d3 [0,0,0,-246963,-38711122] 2 [192043946:-15372074486:29791] 78120d4 [0,0,0,-3749763,-2794820002] 2 [-18364029729986:-1265987547:16425804088]
78120e (4 curves)	1	2+ 3- 5+ 7- 31+	2+ 3- 5+ 7- -4 -2  2 -4
Curve Equation t Generators 78120e1 [0,0,0,1737,-5238] 2 [31:280:1] 78120e2 [0,0,0,-7083,-42282] 4 [-9:144:1] 78120e3 [0,0,0,-70083,7101918] 2 [166:206:1] 78120e4 [0,0,0,-85203,-9557298] 2 [2326:111250:1]
78120f (2 curves)	0	2+ 3- 5+ 7- 31-	2+ 3- 5+ 7-  0  2 -6 -2
Curve Equation t 78120f1 [0,0,0,-16203,-793802] 2 78120f2 [0,0,0,-15123,-904178] 2
78120g (6 curves)	0	2+ 3- 5+ 7- 31-	2+ 3- 5+ 7- -4  6 -2  4
Curve Equation t 78120g1 [0,0,0,-4258938,-140688263] 2 78120g2 [0,0,0,-45817383,118957503418] 4 78120g3 [0,0,0,-24194883,231537211918] 2 78120g4 [0,0,0,-732375003,7628662062502] 4 78120g5 [0,0,0,-731671923,7644039968878] 2 78120g6 [0,0,0,-11718000003,488234375937502] 2
78120h (2 curves)	1	2+ 3- 5- 7+ 31+	2+ 3- 5- 7+  0  0  6  8
Curve Equation t Generators 78120h1 [0,0,0,-13117467,-18321632026] 2 [4750:162918:1] 78120h2 [0,0,0,-209992467,-1171261007026] 2 [2003250:534351214:27]
78120i (2 curves)	1	2+ 3- 5- 7+ 31+	2+ 3- 5- 7+  0  4 -6  0
Curve Equation t Generators 78120i1 [0,0,0,-747,11286] 2 [7:80:1] 78120i2 [0,0,0,-13347,593406] 2 [70:46:1]
78120j (4 curves)	1	2+ 3- 5- 7+ 31+	2+ 3- 5- 7+  0  6 -2  0
Curve Equation t Generators 78120j1 [0,0,0,-146487,-21579766] 2 [40612:759915:64] 78120j2 [0,0,0,-146667,-21524074] 4 [2302:108810:1] 78120j3 [0,0,0,-68547,-44381986] 2 [61986:2945150:27] 78120j4 [0,0,0,-227667,4898126] 2 [150342:2927015:216]
78120k (1 curve)	1	2+ 3- 5- 7+ 31+	2+ 3- 5- 7+ -1 -3 -2  5
Curve Equation t Generators 78120k1 [0,0,0,-3523827,2412561454] 1 [630:21038:1]
78120l (2 curves)	1	2+ 3- 5- 7+ 31+	2+ 3- 5- 7+  2 -6 -2 -4
Curve Equation t Generators 78120l1 [0,0,0,-327,-4646] 2 [30:112:1] 78120l2 [0,0,0,-6627,-207506] 2 [210:2768:1]
78120m (2 curves)	1	2+ 3- 5- 7+ 31+	2+ 3- 5- 7+ -2  0  2  4
Curve Equation t Generators 78120m1 [0,0,0,59973,6730054] 2 [63:3280:1] 78120m2 [0,0,0,-381027,66617854] 2 [4914:64165:8]
78120n (2 curves)	1	2+ 3- 5- 7+ 31+	2+ 3- 5- 7+ -2  6  2  4
Curve Equation t Generators 78120n1 [0,0,0,-6473127,6635633146] 2 [1422:17500:1] 78120n2 [0,0,0,-104910627,413595945646] 2 [5922:500:1]
78120o (1 curve)	1	2+ 3- 5- 7+ 31+	2+ 3- 5- 7+  3  1 -3 -6
Curve Equation t Generators 78120o1 [0,0,0,-202212,-35023644] 1 [73670:888398:125]
78120p (1 curve)	1	2+ 3- 5- 7+ 31+	2+ 3- 5- 7+  4  3  5  1
Curve Equation t Generators 78120p1 [0,0,0,-848307,486253294] 1 [1538:53100:1]
78120q (1 curve)	0	2+ 3- 5- 7+ 31-	2+ 3- 5- 7+  2  1  5 -5
Curve Equation t 78120q1 [0,0,0,-242787,46045694] 1
78120r (2 curves)	0	2+ 3- 5- 7+ 31-	2+ 3- 5- 7+  2  4  8  4
Curve Equation t 78120r1 [0,0,0,5433,97274] 2 78120r2 [0,0,0,-26067,846974] 2
78120s (2 curves)	0	2+ 3- 5- 7+ 31-	2+ 3- 5- 7+ -6  2  0  8
Curve Equation t 78120s1 [0,0,0,1653,509686] 2 78120s2 [0,0,0,-86547,9523726] 2
78120t (2 curves)	0	2+ 3- 5- 7- 31+	2+ 3- 5- 7- -6  0  4  4
Curve Equation t 78120t1 [0,0,0,-95367,-14431174] 2 78120t2 [0,0,0,-1638867,-807481474] 2
78120u (4 curves)	1	2+ 3- 5- 7- 31-	2+ 3- 5- 7-  0 -2 -2 -4
Curve Equation t Generators 78120u1 [0,0,0,314358,67010249] 4 [-107:5670:1] 78120u2 [0,0,0,-1804647,633632186] 4 [82:22050:1] 78120u3 [0,0,0,-11296227,-14129571346] 2 [43474:2331875:8] 78120u4 [0,0,0,-26217147,51660639686] 2 [3182:21350:1]
78120v (1 curve)	1	2+ 3- 5- 7- 31-	2+ 3- 5- 7-  2  3  1 -5
Curve Equation t Generators 78120v1 [0,0,0,-16707,4159006] 1 [242:3780:1]
78120w (2 curves)	1	2+ 3- 5- 7- 31-	2+ 3- 5- 7- -2  2 -4  0
Curve Equation t Generators 78120w1 [0,0,0,3564213,9542650934] 2 [-2:97650:1] 78120w2 [0,0,0,-51560787,131247625934] 2 [6998:336350:1]
78120x (2 curves)	0	2- 3+ 5- 7- 31+	2- 3+ 5- 7- -2  6  6  8
Curve Equation t 78120x1 [0,0,0,-6702,-211171] 2 78120x2 [0,0,0,-6327,-235846] 2
78120y (1 curve)	0	2- 3- 5+ 7+ 31-	2- 3- 5+ 7+  0  5  5  1
Curve Equation t 78120y1 [0,0,0,-363,-4282] 1
78120z (4 curves)	0	2- 3- 5+ 7+ 31-	2- 3- 5+ 7+  4  6 -6  4
Curve Equation t 78120z1 [0,0,0,8142,-108043] 4 78120z2 [0,0,0,-35103,-895102] 4 78120z3 [0,0,0,-308523,65327222] 2 78120z4 [0,0,0,-453603,-117489202] 2
78120ba (1 curve)	0	2- 3- 5+ 7+ 31-	2- 3- 5+ 7+ -5  1  6 -1
Curve Equation t 78120ba1 [0,0,0,-1083,9718] 1
78120bb (4 curves)	1	2- 3- 5+ 7- 31-	2- 3- 5+ 7- -4 -2  2  4
Curve Equation t Generators 78120bb1 [0,0,0,-6903858,-7044354907] 4 [3058:20979:1] 78120bb2 [0,0,0,-110735103,-448514042398] 4 [991927:987859152:1] 78120bb3 [0,0,0,-111008523,-446187839722] 2 [40499732468:-1108062458125:3241792] 78120bb4 [0,0,0,-1771761603,-28704900244498] 2 [63505028:63201106703:64]
78120bc (2 curves)	1	2- 3- 5+ 7- 31-	2- 3- 5+ 7- -4  4  2  4
Curve Equation t Generators 78120bc1 [0,0,0,-3,24302] 2 [11:160:1] 78120bc2 [0,0,0,-12603,535862] 2 [74:92:1]
78120bd (2 curves)	0	2- 3- 5- 7+ 31+	2- 3- 5- 7+  0 -2  0  0
Curve Equation t 78120bd1 [0,0,0,-5907,433694] 2 78120bd2 [0,0,0,-129387,17893766] 2
78120be (2 curves)	0	2- 3- 5- 7+ 31+	2- 3- 5- 7+  0  4  4  4
Curve Equation t 78120be1 [0,0,0,-642,-5731] 2 78120be2 [0,0,0,753,-27214] 2
78120bf (1 curve)	0	2- 3- 5- 7+ 31+	2- 3- 5- 7+ -3  1 -3 -6
Curve Equation t 78120bf1 [0,0,0,-74077932,366830029316] 1
78120bg (1 curve)	0	2- 3- 5- 7+ 31+	2- 3- 5- 7+ -3  1  4  1
Curve Equation t 78120bg1 [0,0,0,-145227,-20424346] 1
78120bh (4 curves)	1	2- 3- 5- 7+ 31-	2- 3- 5- 7+  0 -2  2  4
Curve Equation t Generators 78120bh1 [0,0,0,-9327,642994] 4 [-90:868:1] 78120bh2 [0,0,0,-182307,29945806] 4 [-133:7200:1] 78120bh3 [0,0,0,-215787,18180934] 2 [-9628:439875:64] 78120bh4 [0,0,0,-2916507,1917090646] 2 [1386:23180:1]
78120bi (4 curves)	1	2- 3- 5- 7+ 31-	2- 3- 5- 7+  4  2 -2 -4
Curve Equation t Generators 78120bi1 [0,0,0,78,82861] 2 [-18:275:1] 78120bi2 [0,0,0,-28047,1775986] 4 [-103:1890:1] 78120bi3 [0,0,0,-59547,-2942714] 2 [-133:1620:1] 78120bi4 [0,0,0,-446547,114854686] 2 [387:40:1]
78120bj (2 curves)	1	2- 3- 5- 7+ 31-	2- 3- 5- 7+  4  4  0 -4
Curve Equation t Generators 78120bj1 [0,0,0,-73407,7687906] 2 [137:-450:1] 78120bj2 [0,0,0,-1175907,490803406] 2 [347:11160:1]
78120bk (2 curves)	1	2- 3- 5- 7- 31+	2- 3- 5- 7-  4  0  0 -4
Curve Equation t Generators 78120bk1 [0,0,0,-35922,2620469] 2 [-170:1953:1] 78120bk2 [0,0,0,-34527,2833346] 2 [97:-630:1]
78120bl (4 curves)	1	2- 3- 5- 7- 31+	2- 3- 5- 7- -4 -2 -2  4
Curve Equation t Generators 78120bl1 [0,0,0,-68367,6880466] 4 [1:2610:1] 78120bl2 [0,0,0,-68547,6842414] 4 [-85:3472:1] 78120bl3 [0,0,0,-15627,17140646] 2 [622:15750:1] 78120bl4 [0,0,0,-124347,-5891146] 2 [-130:2842:1]

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