Cremona's table of elliptic curves

29120 = 2⁶ · 5 · 7 · 13

Class	r	Atkin-Lehner	Eigenvalues
29120a (4 curves)	1	2+ 5+ 7+ 13+	2+  0 5+ 7+  0 13+ -6  0
Curve Equation t Generators 29120a1 [0,0,0,-4268,107312] 2 [-26:448:1] 29120a2 [0,0,0,-4588,90288] 4 [-27:441:1] 29120a3 [0,0,0,11092,573232] 2 [6:800:1] 29120a4 [0,0,0,-25388,-1482192] 2 [216:1764:1]
29120b (1 curve)	0	2+ 5+ 7+ 13-	2+  1 5+ 7+  3 13- -6  6
Curve Equation t 29120b1 [0,1,0,-3361,-86465] 1
29120c (2 curves)	0	2+ 5+ 7+ 13-	2+  2 5+ 7+  4 13-  0  6
Curve Equation t 29120c1 [0,-1,0,-73281,6230081] 2 29120c2 [0,-1,0,-360001,-77434815] 2
29120d (2 curves)	0	2+ 5+ 7+ 13-	2+  2 5+ 7+ -4 13-  4  2
Curve Equation t 29120d1 [0,-1,0,-1001,9065] 2 29120d2 [0,-1,0,-14721,692321] 2
29120e (2 curves)	2	2+ 5+ 7+ 13-	2+ -2 5+ 7+  0 13- -8  2
Curve Equation t Generators 29120e1 [0,1,0,-161,319] 2 [-14:5:1]&[-5:32:1] 29120e2 [0,1,0,-1281,-17825] 2 [-21:16:1]&[-19:4:1]
29120f (2 curves)	0	2+ 5+ 7+ 13-	2+ -2 5+ 7+  4 13-  4 -6
Curve Equation t 29120f1 [0,1,0,-2241,-41441] 2 29120f2 [0,1,0,-3361,3135] 2
29120g (3 curves)	0	2+ 5+ 7- 13+	2+ -1 5+ 7-  3 13+  6 -2
Curve Equation t 29120g1 [0,-1,0,-37020641,94022443105] 1 29120g2 [0,-1,0,227979359,-86306556895] 1 29120g3 [0,-1,0,-3232204641,-75008771774495] 1
29120h (2 curves)	0	2+ 5+ 7- 13+	2+  2 5+ 7-  2 13+ -6 -6
Curve Equation t 29120h1 [0,-1,0,-41361,-1251439] 2 29120h2 [0,-1,0,150719,-9741375] 2
29120i (2 curves)	1	2+ 5+ 7- 13-	2+  0 5+ 7-  2 13- -4  4
Curve Equation t Generators 29120i1 [0,0,0,-1868,-27792] 2 [-19:29:1] 29120i2 [0,0,0,2612,-140688] 2 [877:26013:1]
29120j (2 curves)	1	2+ 5+ 7- 13-	2+  0 5+ 7-  2 13- -4 -4
Curve Equation t Generators 29120j1 [0,0,0,-10988,-21968] 2 [-51:637:1] 29120j2 [0,0,0,43892,-175632] 2 [173:3549:1]
29120k (2 curves)	1	2+ 5+ 7- 13-	2+ -2 5+ 7-  4 13-  4 -2
Curve Equation t Generators 29120k1 [0,1,0,-1001,-9065] 2 [-21:56:1] 29120k2 [0,1,0,-14721,-692321] 2 [-70:7:1]
29120l (2 curves)	2	2+ 5- 7+ 13+	2+  0 5- 7+ -2 13+  0 -8
Curve Equation t Generators 29120l1 [0,0,0,-54092,4842224] 2 [-266:640:1]&[133:-25:1] 29120l2 [0,0,0,-52972,5052336] 2 [2514:-26000:27]&[-138:3120:1]
29120m (2 curves)	0	2+ 5- 7+ 13+	2+  0 5- 7+  6 13+ -8  0
Curve Equation t 29120m1 [0,0,0,-2169452,1131879856] 2 29120m2 [0,0,0,2418068,5280832944] 2
29120n (2 curves)	0	2+ 5- 7+ 13+	2+  2 5- 7+  0 13+  0 -6
Curve Equation t 29120n1 [0,-1,0,-105,-343] 2 29120n2 [0,-1,0,-385,2625] 2
29120o (2 curves)	2	2+ 5- 7+ 13+	2+ -2 5- 7+  0 13+ -4 -2
Curve Equation t Generators 29120o1 [0,1,0,-2185,38583] 2 [23:32:1]&[-29:280:1] 29120o2 [0,1,0,-2465,27775] 2 [-5:-200:1]&[-30:275:1]
29120p (2 curves)	0	2+ 5- 7+ 13+	2+ -2 5- 7+ -4 13+ -8 -2
Curve Equation t 29120p1 [0,1,0,-2520105,-1539066665] 2 29120p2 [0,1,0,-3192385,-653942817] 2
29120q (1 curve)	0	2+ 5- 7+ 13+	2+  3 5- 7+ -3 13+ -2  6
Curve Equation t 29120q1 [0,0,0,-2092,37424] 1
29120r (4 curves)	1	2+ 5- 7+ 13-	2+  0 5- 7+  0 13- -2  4
Curve Equation t Generators 29120r1 [0,0,0,-3212,50416] 2 [-18:320:1] 29120r2 [0,0,0,-18892,-959376] 4 [-67:75:1] 29120r3 [0,0,0,10228,-3650064] 2 [5757:436875:1] 29120r4 [0,0,0,-298892,-62895376] 2 [5768:436020:1]
29120s (4 curves)	1	2+ 5- 7+ 13-	2+  0 5- 7+ -4 13- -2  4
Curve Equation t Generators 29120s1 [0,0,0,-11807,191284] 2 [15920:108498:125] 29120s2 [0,0,0,-154612,23382816] 4 [196:780:1] 29120s3 [0,0,0,-120812,33887856] 2 [456:8580:1] 29120s4 [0,0,0,-2473292,1497135824] 4 [-302:47080:1]
29120t (1 curve)	1	2+ 5- 7+ 13-	2+  1 5- 7+ -5 13- -2  6
Curve Equation t Generators 29120t1 [0,1,0,-93665,11547263] 1 [611:13520:1]
29120u (2 curves)	1	2+ 5- 7+ 13-	2+ -2 5- 7+  2 13-  6  6
Curve Equation t Generators 29120u1 [0,1,0,-14385,658543] 2 [18:637:1] 29120u2 [0,1,0,-10465,1029375] 2 [203:2704:1]
29120v (2 curves)	1	2+ 5- 7- 13+	2+ -1 5- 7-  3 13+ -6 -2
Curve Equation t Generators 29120v1 [0,-1,0,415,21217] 1 [9:-160:1] 29120v2 [0,-1,0,-3745,-586975] 1 [185:-2240:1]
29120w (6 curves)	1	2+ 5- 7- 13+	2+  2 5- 7-  0 13+  0 -2
Curve Equation t Generators 29120w1 [0,-1,0,-76545,8145665] 2 [186637:515088:1331] 29120w2 [0,-1,0,-1223425,521259777] 2 [220311:50688:343] 29120w3 [0,-1,0,-424705,-100328703] 2 [-321:1680:1] 29120w4 [0,-1,0,-1302785,449876225] 2 [1345:33600:1] 29120w5 [0,-1,0,-33854465,-75806667775] 2 [1946235:520768000:27] 29120w6 [0,-1,0,-33858945,-75785596543] 2 [287969:154500000:1]
29120x (4 curves)	1	2+ 5- 7- 13+	2+  2 5- 7-  0 13+  0 -2
Curve Equation t Generators 29120x1 [0,-1,0,-14945,707297] 2 [-8:909:1] 29120x2 [0,-1,0,-19425,253025] 2 [-13896:572165:729] 29120x3 [0,-1,0,-60705,-5050975] 2 [-160:735:1] 29120x4 [0,-1,0,-938785,-349785183] 2 [1779:60060:1]
29120y (2 curves)	1	2+ 5- 7- 13+	2+  2 5- 7-  0 13+ -4  2
Curve Equation t Generators 29120y1 [0,-1,0,-2185,-38583] 2 [99:840:1] 29120y2 [0,-1,0,-2465,-27775] 2 [-35:120:1]
29120z (2 curves)	1	2+ 5- 7- 13+	2+  2 5- 7-  4 13+ -8  2
Curve Equation t Generators 29120z1 [0,-1,0,-2520105,1539066665] 2 [-823:55272:1] 29120z2 [0,-1,0,-3192385,653942817] 2 [-24279:1427860:27]
29120ba (2 curves)	1	2+ 5- 7- 13+	2+ -2 5- 7-  0 13+  0  6
Curve Equation t Generators 29120ba1 [0,1,0,-105,343] 2 [-7:28:1] 29120ba2 [0,1,0,-385,-2625] 2 [-11:20:1]
29120bb (2 curves)	1	2+ 5- 7- 13+	2+ -2 5- 7- -4 13+  0  2
Curve Equation t Generators 29120bb1 [0,1,0,-385,735] 2 [-7:56:1] 29120bb2 [0,1,0,-4865,128863] 2 [43:32:1]
29120bc (4 curves)	0	2+ 5- 7- 13-	2+  0 5- 7-  0 13-  6 -4
Curve Equation t 29120bc1 [0,0,0,88,-184] 2 29120bc2 [0,0,0,-412,-1584] 4 29120bc3 [0,0,0,-3212,68976] 2 29120bc4 [0,0,0,-5612,-161744] 2
29120bd (4 curves)	0	2+ 5- 7- 13-	2+  0 5- 7-  4 13- -2 -4
Curve Equation t 29120bd1 [0,0,0,-11807,-191284] 2 29120bd2 [0,0,0,-154612,-23382816] 4 29120bd3 [0,0,0,-120812,-33887856] 4 29120bd4 [0,0,0,-2473292,-1497135824] 2
29120be (4 curves)	0	2+ 5- 7- 13-	2+  0 5- 7- -4 13-  2  4
Curve Equation t 29120be1 [0,0,0,-128012,16127984] 2 29120be2 [0,0,0,-455692,-100395024] 4 29120be3 [0,0,0,824308,-562731024] 4 29120be4 [0,0,0,-6978572,-7095531536] 2
29120bf (1 curve)	0	2+ 5- 7- 13-	2+  1 5- 7-  5 13-  2  6
Curve Equation t 29120bf1 [0,1,0,-12545,3022175] 1
29120bg (2 curves)	2	2+ 5- 7- 13-	2+ -2 5- 7- -6 13- -2 -2
Curve Equation t Generators 29120bg1 [0,1,0,-1905,28975] 2 [5:140:1]&[-37:224:1] 29120bg2 [0,1,0,2015,136383] 2 [11:400:1]&[-23:280:1]
29120bh (3 curves)	0	2- 5+ 7+ 13+	2-  1 5+ 7+ -3 13+  6  2
Curve Equation t 29120bh1 [0,1,0,-37020641,-94022443105] 1 29120bh2 [0,1,0,227979359,86306556895] 1 29120bh3 [0,1,0,-3232204641,75008771774495] 1
29120bi (1 curve)	2	2- 5+ 7+ 13+	2- -1 5+ 7+ -3 13+ -2  2
Curve Equation t Generators 29120bi1 [0,-1,0,-1,-415] 1 [8:5:1]&[13:-40:1]
29120bj (2 curves)	0	2- 5+ 7+ 13+	2-  2 5+ 7+ -2 13+ -2 -6
Curve Equation t 29120bj1 [0,-1,0,-91476,10705226] 2 29120bj2 [0,-1,0,-1464601,682712601] 2
29120bk (2 curves)	0	2- 5+ 7+ 13+	2-  2 5+ 7+ -2 13+  6  2
Curve Equation t 29120bk1 [0,-1,0,44,-150] 2 29120bk2 [0,-1,0,-281,-1255] 2
29120bl (2 curves)	0	2- 5+ 7+ 13+	2- -2 5+ 7+ -2 13+ -6  6
Curve Equation t 29120bl1 [0,1,0,-41361,1251439] 2 29120bl2 [0,1,0,150719,9741375] 2
29120bm (2 curves)	1	2- 5+ 7+ 13-	2-  0 5+ 7+ -2 13- -4  4
Curve Equation t Generators 29120bm1 [0,0,0,-10988,21968] 2 [-14:416:1] 29120bm2 [0,0,0,43892,175632] 2 [61:1755:1]
29120bn (2 curves)	1	2- 5+ 7+ 13-	2-  0 5+ 7+ -2 13- -4 -4
Curve Equation t Generators 29120bn1 [0,0,0,-1868,27792] 2 [-46:128:1] 29120bn2 [0,0,0,2612,140688] 2 [-32:156:1]
29120bo (2 curves)	1	2- 5+ 7+ 13-	2-  0 5+ 7+  6 13-  0  0
Curve Equation t Generators 29120bo1 [0,0,0,-68,128] 2 [-2:16:1] 29120bo2 [0,0,0,212,912] 2 [12:72:1]
29120bp (1 curve)	1	2- 5+ 7+ 13-	2-  3 5+ 7+  3 13- -6  6
Curve Equation t Generators 29120bp1 [0,0,0,-2445868,-1472501392] 1 [1381896:19323460:729]
29120bq (4 curves)	1	2- 5+ 7- 13+	2-  0 5+ 7-  0 13+ -6  0
Curve Equation t Generators 29120bq1 [0,0,0,-4268,-107312] 2 [2046:1792:27] 29120bq2 [0,0,0,-4588,-90288] 4 [-36:168:1] 29120bq3 [0,0,0,11092,-573232] 2 [188:2856:1] 29120bq4 [0,0,0,-25388,1482192] 2 [122:448:1]
29120br (1 curve)	1	2- 5+ 7- 13+	2-  1 5+ 7-  3 13+ -2 -2
Curve Equation t Generators 29120br1 [0,1,0,-1,415] 1 [-3:20:1]
29120bs (2 curves)	1	2- 5+ 7- 13+	2- -2 5+ 7-  2 13+ -2  6
Curve Equation t Generators 29120bs1 [0,1,0,-91476,-10705226] 2 [20397895:820776586:12167] 29120bs2 [0,1,0,-1464601,-682712601] 2 [6707:539672:1]
29120bt (2 curves)	1	2- 5+ 7- 13+	2- -2 5+ 7-  2 13+  6 -2
Curve Equation t Generators 29120bt1 [0,1,0,44,150] 2 [1:14:1] 29120bt2 [0,1,0,-281,1255] 2 [19:-56:1]
29120bu (2 curves)	2	2- 5+ 7- 13-	2-  0 5+ 7- -6 13-  0  0
Curve Equation t Generators 29120bu1 [0,0,0,-68,-128] 2 [-6:8:1]&[-3:7:1] 29120bu2 [0,0,0,212,-912] 2 [6:24:1]&[8:36:1]
29120bv (1 curve)	2	2- 5+ 7- 13-	2- -1 5+ 7- -3 13- -6 -6
Curve Equation t Generators 29120bv1 [0,-1,0,-3361,86465] 1 [-67:80:1]&[29:-112:1]
29120bw (2 curves)	0	2- 5+ 7- 13-	2-  2 5+ 7-  0 13- -8 -2
Curve Equation t 29120bw1 [0,-1,0,-161,-319] 2 29120bw2 [0,-1,0,-1281,17825] 2
29120bx (2 curves)	0	2- 5+ 7- 13-	2-  2 5+ 7- -4 13-  4  6
Curve Equation t 29120bx1 [0,-1,0,-2241,41441] 2 29120bx2 [0,-1,0,-3361,-3135] 2
29120by (2 curves)	0	2- 5+ 7- 13-	2- -2 5+ 7- -4 13-  0 -6
Curve Equation t 29120by1 [0,1,0,-73281,-6230081] 2 29120by2 [0,1,0,-360001,77434815] 2
29120bz (1 curve)	2	2- 5+ 7- 13-	2- -3 5+ 7- -3 13- -6 -6
Curve Equation t Generators 29120bz1 [0,0,0,-2445868,1472501392] 1 [-1486:42728:1]&[-1374:47320:1]
29120ca (2 curves)	1	2- 5- 7+ 13+	2-  1 5- 7+ -3 13+ -6  2
Curve Equation t Generators 29120ca1 [0,1,0,415,-21217] 1 [23:32:1] 29120ca2 [0,1,0,-3745,586975] 1 [135:1600:1]
29120cb (2 curves)	1	2- 5- 7+ 13+	2-  2 5- 7+  4 13+  0 -2
Curve Equation t Generators 29120cb1 [0,-1,0,-385,-735] 2 [-483:280:27] 29120cb2 [0,-1,0,-4865,-128863] 2 [28922:1738425:8]
29120cc (4 curves)	1	2- 5- 7+ 13+	2- -2 5- 7+  0 13+  0  2
Curve Equation t Generators 29120cc1 [0,1,0,-14945,-707297] 2 [277:4060:1] 29120cc2 [0,1,0,-19425,-253025] 2 [-105:800:1] 29120cc3 [0,1,0,-60705,5050975] 2 [-25:2560:1] 29120cc4 [0,1,0,-938785,349785183] 2 [-89:20800:1]
29120cd (6 curves)	1	2- 5- 7+ 13+	2- -2 5- 7+  0 13+  0  2
Curve Equation t Generators 29120cd1 [0,1,0,-76545,-8145665] 2 [-18995:1624:125] 29120cd2 [0,1,0,-1223425,-521259777] 2 [-1948069055:-1352264:3048625] 29120cd3 [0,1,0,-424705,100328703] 2 [-239:13720:1] 29120cd4 [0,1,0,-1302785,-449876225] 2 [-495:8600:1] 29120cd5 [0,1,0,-33854465,75806667775] 2 [3295:6400:1] 29120cd6 [0,1,0,-33858945,75785596543] 2 [27498:40625:8]
29120ce (4 curves)	0	2- 5- 7+ 13-	2-  0 5- 7+  0 13-  6  4
Curve Equation t 29120ce1 [0,0,0,88,184] 2 29120ce2 [0,0,0,-412,1584] 4 29120ce3 [0,0,0,-3212,-68976] 2 29120ce4 [0,0,0,-5612,161744] 2
29120cf (4 curves)	0	2- 5- 7+ 13-	2-  0 5- 7+  4 13-  2 -4
Curve Equation t 29120cf1 [0,0,0,-128012,-16127984] 2 29120cf2 [0,0,0,-455692,100395024] 4 29120cf3 [0,0,0,824308,562731024] 2 29120cf4 [0,0,0,-6978572,7095531536] 4
29120cg (1 curve)	0	2- 5- 7+ 13-	2- -1 5- 7+ -5 13-  2 -6
Curve Equation t 29120cg1 [0,-1,0,-12545,-3022175] 1
29120ch (2 curves)	0	2- 5- 7+ 13-	2-  2 5- 7+  6 13- -2  2
Curve Equation t 29120ch1 [0,-1,0,-1905,-28975] 2 29120ch2 [0,-1,0,2015,-136383] 2
29120ci (2 curves)	0	2- 5- 7- 13+	2-  0 5- 7-  2 13+  0  8
Curve Equation t 29120ci1 [0,0,0,-54092,-4842224] 2 29120ci2 [0,0,0,-52972,-5052336] 2
29120cj (2 curves)	0	2- 5- 7- 13+	2-  0 5- 7- -6 13+ -8  0
Curve Equation t 29120cj1 [0,0,0,-2169452,-1131879856] 2 29120cj2 [0,0,0,2418068,-5280832944] 2
29120ck (1 curve)	0	2- 5- 7- 13+	2- -3 5- 7-  3 13+ -2 -6
Curve Equation t 29120ck1 [0,0,0,-2092,-37424] 1
29120cl (4 curves)	1	2- 5- 7- 13-	2-  0 5- 7-  0 13- -2 -4
Curve Equation t Generators 29120cl1 [0,0,0,-3212,-50416] 2 [-32:140:1] 29120cl2 [0,0,0,-18892,959376] 4 [2:960:1] 29120cl3 [0,0,0,10228,3650064] 2 [93:2325:1] 29120cl4 [0,0,0,-298892,62895376] 2 [82:6240:1]
29120cm (1 curve)	1	2- 5- 7- 13-	2- -1 5- 7-  5 13- -2 -6
Curve Equation t Generators 29120cm1 [0,-1,0,-93665,-11547263] 1 [429:5200:1]
29120cn (2 curves)	1	2- 5- 7- 13-	2-  2 5- 7- -2 13-  6 -6
Curve Equation t Generators 29120cn1 [0,-1,0,-14385,-658543] 2 [437:8736:1] 29120cn2 [0,-1,0,-10465,-1029375] 2 [2250:34125:8]

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