Cremona's table of elliptic curves

47850 = 2 · 3 · 5² · 11 · 29

Class	r	Atkin-Lehner	Eigenvalues
47850a (4 curves)	1	2+ 3+ 5+ 11+ 29+	2+ 3+ 5+  0 11+  2 -2 -4
Curve Equation t Generators 47850a1 [1,1,0,-2525,-49875] 2 [-29:18:1] 47850a2 [1,1,0,-3025,-29375] 4 [-35:205:1] 47850a3 [1,1,0,10725,-208125] 2 [75:975:1] 47850a4 [1,1,0,-24775,1471375] 2 [129:601:1]
47850b (1 curve)	1	2+ 3+ 5+ 11+ 29+	2+ 3+ 5+  0 11+ -4  7 -7
Curve Equation t Generators 47850b1 [1,1,0,-184275,31438125] 1 [425:5275:1]
47850c (2 curves)	1	2+ 3+ 5+ 11+ 29+	2+ 3+ 5+  1 11+  4 -3 -1
Curve Equation t Generators 47850c1 [1,1,0,23325,-2293875] 1 [75655:1874264:125] 47850c2 [1,1,0,-888675,-323749875] 1 [201745835566243355:-864343100215459976:184268577417625]
47850d (2 curves)	1	2+ 3+ 5+ 11+ 29+	2+ 3+ 5+  1 11+  4 -6 -4
Curve Equation t Generators 47850d1 [1,1,0,30,180] 1 [-4:6:1] 47850d2 [1,1,0,-270,-5160] 1 [26:66:1]
47850e (1 curve)	1	2+ 3+ 5+ 11+ 29+	2+ 3+ 5+  3 11+ -4 -5 -7
Curve Equation t Generators 47850e1 [1,1,0,-2229614075,-40571441347875] 1 [36674110257157709855887356943285122405276370960121402:-13192929429038139892956297265283060824261719963285959453:250854246655360452956440930979474852433598803167]
47850f (4 curves)	1	2+ 3+ 5+ 11+ 29+	2+ 3+ 5+  4 11+  4  6 -4
Curve Equation t Generators 47850f1 [1,1,0,-114700,14890000] 2 [-61:4685:1] 47850f2 [1,1,0,-143700,6741000] 2 [-2247:116095:27] 47850f3 [1,1,0,-425200,-91260500] 2 [-87996030:-316054310:185193] 47850f4 [1,1,0,-6522450,-6414108750] 2 [-6076041110943843:1646715134157305:4109069876913]
47850g (1 curve)	1	2+ 3+ 5+ 11+ 29+	2+ 3+ 5+ -5 11+  4  3  1
Curve Equation t Generators 47850g1 [1,1,0,2985,585] 1 [134:1615:1]
47850h (1 curve)	0	2+ 3+ 5+ 11+ 29-	2+ 3+ 5+  1 11+  2 -7  3
Curve Equation t 47850h1 [1,1,0,-17200,-926000] 1
47850i (1 curve)	0	2+ 3+ 5+ 11+ 29-	2+ 3+ 5+  1 11+ -6  1  7
Curve Equation t 47850i1 [1,1,0,-49825,7035445] 1
47850j (1 curve)	0	2+ 3+ 5+ 11+ 29-	2+ 3+ 5+  4 11+  5 -7 -6
Curve Equation t 47850j1 [1,1,0,7975,-7542375] 1
47850k (1 curve)	0	2+ 3+ 5+ 11+ 29-	2+ 3+ 5+ -5 11+  0 -2 -2
Curve Equation t 47850k1 [1,1,0,-1082778400,14027897152000] 1
47850l (2 curves)	0	2+ 3+ 5+ 11- 29+	2+ 3+ 5+  0 11-  2  6 -2
Curve Equation t 47850l1 [1,1,0,225,-3375] 2 47850l2 [1,1,0,-2525,-44625] 2
47850m (2 curves)	0	2+ 3+ 5+ 11- 29+	2+ 3+ 5+  2 11-  6 -3 -5
Curve Equation t 47850m1 [1,1,0,-5500,550000] 1 47850m2 [1,1,0,-271750,-81091250] 1
47850n (2 curves)	0	2+ 3+ 5+ 11- 29+	2+ 3+ 5+ -3 11-  1  2  5
Curve Equation t 47850n1 [1,1,0,-14625,739125] 1 47850n2 [1,1,0,6375,-53545875] 1
47850o (2 curves)	0	2+ 3+ 5+ 11- 29+	2+ 3+ 5+ -3 11- -4 -3 -5
Curve Equation t 47850o1 [1,1,0,-5433750,4873000500] 1 47850o2 [1,1,0,13513500,25957131750] 1
47850p (1 curve)	0	2+ 3+ 5+ 11- 29+	2+ 3+ 5+  4 11-  3 -3  2
Curve Equation t 47850p1 [1,1,0,-12150,-667500] 1
47850q (1 curve)	1	2+ 3+ 5+ 11- 29-	2+ 3+ 5+  1 11- -4  3  7
Curve Equation t Generators 47850q1 [1,1,0,15,165] 1 [14:51:1]
47850r (2 curves)	1	2+ 3+ 5+ 11- 29-	2+ 3+ 5+ -2 11-  2  6 -4
Curve Equation t Generators 47850r1 [1,1,0,-2900,0] 2 [-29:261:1] 47850r2 [1,1,0,11600,14500] 2 [30:610:1]
47850s (1 curve)	2	2+ 3+ 5- 11+ 29+	2+ 3+ 5-  1 11+ -6 -3 -1
Curve Equation t Generators 47850s1 [1,1,0,-425,3225] 1 [-20:75:1]&[-5:75:1]
47850t (1 curve)	0	2+ 3+ 5- 11+ 29+	2+ 3+ 5-  2 11+ -1 -7  4
Curve Equation t 47850t1 [1,1,0,-60850575,-182728132875] 1
47850u (1 curve)	2	2+ 3+ 5- 11+ 29+	2+ 3+ 5- -2 11+  0  0 -4
Curve Equation t Generators 47850u1 [1,1,0,17050,1396500] 1 [-65:170:1]&[-170:8185:8]
47850v (2 curves)	1	2+ 3+ 5- 11- 29+	2+ 3+ 5-  2 11-  1 -3  0
Curve Equation t Generators 47850v1 [1,1,0,-338200,-76166000] 1 [5431340:82218080:6859] 47850v2 [1,1,0,2398675,1827412125] 1 [16410:2103795:1]
47850w (2 curves)	1	2+ 3+ 5- 11- 29+	2+ 3+ 5-  2 11- -2  6 -6
Curve Equation t Generators 47850w1 [1,1,0,-355,2425] 2 [15:-35:1] 47850w2 [1,1,0,-205,4675] 2 [9:-65:1]
47850x (1 curve)	1	2+ 3+ 5- 11- 29+	2+ 3+ 5-  5 11-  2 -4 -2
Curve Equation t Generators 47850x1 [1,1,0,61925,96692125] 1 [-365:5245:1]
47850y (2 curves)	0	2+ 3- 5+ 11+ 29+	2+ 3- 5+  0 11+ -2 -2  2
Curve Equation t 47850y1 [1,0,1,-13901,-8554552] 2 47850y2 [1,0,1,-717901,-232426552] 2
47850z (1 curve)	0	2+ 3- 5+ 11+ 29+	2+ 3- 5+ -1 11+  0 -2  2
Curve Equation t 47850z1 [1,0,1,1624,-98602] 1
47850ba (1 curve)	0	2+ 3- 5+ 11+ 29+	2+ 3- 5+ -1 11+ -5 -2 -3
Curve Equation t 47850ba1 [1,0,1,22895374,-21507625852] 1
47850bb (2 curves)	0	2+ 3- 5+ 11+ 29+	2+ 3- 5+  4 11+  0 -2 -8
Curve Equation t 47850bb1 [1,0,1,-15637876,-13424329102] 2 47850bb2 [1,0,1,-113193876,454064022898] 2
47850bc (1 curve)	0	2+ 3- 5+ 11+ 29+	2+ 3- 5+ -5 11+  3 -2  7
Curve Equation t 47850bc1 [1,0,1,-7026,226198] 1
47850bd (1 curve)	1	2+ 3- 5+ 11+ 29-	2+ 3- 5+  1 11+  0  1  1
Curve Equation t Generators 47850bd1 [1,0,1,16224,-442802] 1 [38:459:1]
47850be (1 curve)	1	2+ 3- 5+ 11+ 29-	2+ 3- 5+ -1 11+ -4  7 -3
Curve Equation t Generators 47850be1 [1,0,1,-4324371,3715522798] 1 [671:-33744:1]
47850bf (1 curve)	1	2+ 3- 5+ 11+ 29-	2+ 3- 5+  2 11+  4  4 -8
Curve Equation t Generators 47850bf1 [1,0,1,-93996,11085418] 1 [236:1317:1]
47850bg (4 curves)	1	2+ 3- 5+ 11+ 29-	2+ 3- 5+  4 11+ -6 -2 -4
Curve Equation t Generators 47850bg1 [1,0,1,-1798001,-921385852] 2 [-802:2619:1] 47850bg2 [1,0,1,-28710001,-59212777852] 4 [29307:4911946:1] 47850bg3 [1,0,1,-28652001,-59463917852] 2 [6967:277766:1] 47850bg4 [1,0,1,-459360001,-3789503077852] 2 [162287916:20223165323:4913]
47850bh (1 curve)	1	2+ 3- 5+ 11+ 29-	2+ 3- 5+ -4 11+ -1  1 -6
Curve Equation t Generators 47850bh1 [1,0,1,-181251,-29721602] 1 [863589:154001792:27]
47850bi (1 curve)	1	2+ 3- 5+ 11+ 29-	2+ 3- 5+ -4 11+  4  7 -5
Curve Equation t Generators 47850bi1 [1,0,1,5349,-29552] 1 [212:3156:1]
47850bj (1 curve)	1	2+ 3- 5+ 11+ 29-	2+ 3- 5+ -5 11+  0 -2 -4
Curve Equation t Generators 47850bj1 [1,0,1,-28551,1854538] 1 [71:-468:1]
47850bk (2 curves)	1	2+ 3- 5+ 11- 29+	2+ 3- 5+  2 11- -2 -2  0
Curve Equation t Generators 47850bk1 [1,0,1,-14851,-454402] 2 [-62:509:1] 47850bk2 [1,0,1,43149,-3122402] 2 [107:1596:1]
47850bl (4 curves)	0	2+ 3- 5+ 11- 29-	2+ 3- 5+  0 11-  2 -2  0
Curve Equation t 47850bl1 [1,0,1,190349,6317198] 2 47850bl2 [1,0,1,-777651,50845198] 4 47850bl3 [1,0,1,-7652651,-8102904802] 2 47850bl4 [1,0,1,-9390651,11058259198] 2
47850bm (1 curve)	0	2+ 3- 5+ 11- 29-	2+ 3- 5+  0 11-  4  3  1
Curve Equation t 47850bm1 [1,0,1,840249,396213898] 1
47850bn (1 curve)	0	2+ 3- 5+ 11- 29-	2+ 3- 5+  2 11-  2  1 -3
Curve Equation t 47850bn1 [1,0,1,-90626,207352148] 1
47850bo (1 curve)	0	2+ 3- 5+ 11- 29-	2+ 3- 5+  2 11- -4  4  0
Curve Equation t 47850bo1 [1,0,1,-625951,-198406702] 1
47850bp (1 curve)	2	2+ 3- 5- 11- 29+	2+ 3- 5- -1 11- -6 -3 -7
Curve Equation t Generators 47850bp1 [1,0,1,-403451,107825798] 1 [-729:4192:1]&[402:3061:1]
47850bq (1 curve)	1	2+ 3- 5- 11- 29-	2+ 3- 5- -2 11- -1  5 -4
Curve Equation t Generators 47850bq1 [1,0,1,-161,-1132] 1 [27:-134:1]
47850br (4 curves)	0	2- 3+ 5+ 11+ 29+	2- 3+ 5+  0 11+  2  2  0
Curve Equation t 47850br1 [1,1,1,-5938,1636031] 2 47850br2 [1,1,1,-247938,47132031] 4 47850br3 [1,1,1,-407438,-21133969] 2 47850br4 [1,1,1,-3960438,3031982031] 2
47850bs (2 curves)	0	2- 3+ 5+ 11+ 29+	2- 3+ 5+  1 11+  4  6  2
Curve Equation t 47850bs1 [1,1,1,-1785463,917534531] 1 47850bs2 [1,1,1,-1737088,969660281] 1
47850bt (2 curves)	0	2- 3+ 5+ 11+ 29+	2- 3+ 5+  4 11+  4 -3 -1
Curve Equation t 47850bt1 [1,1,1,-68772188,219487954781] 1 47850bt2 [1,1,1,-63756563,252864267281] 1
47850bu (1 curve)	1	2- 3+ 5+ 11+ 29-	2- 3+ 5+ -3 11+ -4  6  6
Curve Equation t Generators 47850bu1 [1,1,1,812,-6469] 1 [70:261:8]
47850bv (2 curves)	1	2- 3+ 5+ 11+ 29-	2- 3+ 5+  4 11+  0 -2 -2
Curve Equation t Generators 47850bv1 [1,1,1,-7338,167031] 2 [-75:587:1] 47850bv2 [1,1,1,19662,1139031] 2 [-21:857:1]
47850bw (4 curves)	1	2- 3+ 5+ 11- 29+	2- 3+ 5+  0 11- -2  2 -4
Curve Equation t Generators 47850bw1 [1,1,1,962,17531] 2 [5:-153:1] 47850bw2 [1,1,1,-7038,177531] 4 [-51:663:1] 47850bw3 [1,1,1,-36038,-2490469] 2 [-101:413:1] 47850bw4 [1,1,1,-106038,13245531] 2 [195:77:1]
47850bx (1 curve)	1	2- 3+ 5+ 11- 29+	2- 3+ 5+  1 11-  6  3 -7
Curve Equation t Generators 47850bx1 [1,1,1,-16138,856151] 1 [109:-693:1]
47850by (2 curves)	1	2- 3+ 5+ 11- 29+	2- 3+ 5+ -2 11- -2  3 -7
Curve Equation t Generators 47850by1 [1,1,1,2662,-1045969] 1 [95:227:1] 47850by2 [1,1,1,-702713,-227062969] 1 [1175:23312:1]
47850bz (1 curve)	1	2- 3+ 5+ 11- 29+	2- 3+ 5+  4 11-  0 -3  5
Curve Equation t Generators 47850bz1 [1,1,1,662,7031] 1 [25:187:1]
47850ca (1 curve)	0	2- 3+ 5+ 11- 29-	2- 3+ 5+  0 11- -1  3  2
Curve Equation t 47850ca1 [1,1,1,-28188,1813281] 1
47850cb (4 curves)	0	2- 3+ 5+ 11- 29-	2- 3+ 5+  0 11-  2 -6 -4
Curve Equation t 47850cb1 [1,1,1,-608438,-121851469] 2 47850cb2 [1,1,1,-8800438,-10050555469] 4 47850cb3 [1,1,1,-7872438,-12251771469] 2 47850cb4 [1,1,1,-140800438,-643122555469] 2
47850cc (1 curve)	0	2- 3+ 5+ 11- 29-	2- 3+ 5+  3 11- -1  6  5
Curve Equation t 47850cc1 [1,1,1,87,-969] 1
47850cd (1 curve)	0	2- 3+ 5+ 11- 29-	2- 3+ 5+  3 11- -4  6  2
Curve Equation t 47850cd1 [1,1,1,-7017621463,239019502780781] 1
47850ce (2 curves)	0	2- 3+ 5+ 11- 29-	2- 3+ 5+ -4 11- -4  6  2
Curve Equation t 47850ce1 [1,1,1,-9088,-337219] 2 47850ce2 [1,1,1,-8338,-394219] 2
47850cf (1 curve)	0	2- 3+ 5- 11+ 29-	2- 3+ 5-  1 11+  4 -7 -3
Curve Equation t 47850cf1 [1,1,1,-108109263,464440349781] 1
47850cg (1 curve)	2	2- 3+ 5- 11+ 29-	2- 3+ 5- -2 11+ -4 -4 -8
Curve Equation t Generators 47850cg1 [1,1,1,-2349888,1385677281] 1 [-415:-47643:1]&[-1691:23813:1]
47850ch (1 curve)	0	2- 3+ 5- 11+ 29-	2- 3+ 5-  5 11+  0  2 -4
Curve Equation t 47850ch1 [1,1,1,-713763,231817281] 1
47850ci (1 curve)	1	2- 3+ 5- 11- 29-	2- 3+ 5-  2 11-  1 -5 -4
Curve Equation t Generators 47850ci1 [1,1,1,-4013,-141469] 1 [85:332:1]
47850cj (1 curve)	1	2- 3+ 5- 11- 29-	2- 3+ 5- -2 11-  4 -4  0
Curve Equation t Generators 47850cj1 [1,1,1,-25038,-1597269] 1 [229:2063:1]
47850ck (1 curve)	1	2- 3- 5+ 11+ 29+	2- 3- 5+ -1 11+  6  3 -1
Curve Equation t Generators 47850ck1 [1,0,0,-10638,424392] 1 [454:295:8]
47850cl (1 curve)	1	2- 3- 5+ 11+ 29+	2- 3- 5+  2 11+  0  0 -4
Curve Equation t Generators 47850cl1 [1,0,0,682,11172] 1 [-2:100:1]
47850cm (1 curve)	1	2- 3- 5+ 11+ 29+	2- 3- 5+ -3 11+  4 -5 -7
Curve Equation t Generators 47850cm1 [1,0,0,-188,1992] 1 [6:30:1]
47850cn (2 curves)	0	2- 3- 5+ 11+ 29-	2- 3- 5+  0 11+ -6  2  2
Curve Equation t 47850cn1 [1,0,0,-354888,81379392] 2 47850cn2 [1,0,0,-5678888,5208391392] 2
47850co (1 curve)	0	2- 3- 5+ 11+ 29-	2- 3- 5+ -3 11+ -3  2 -1
Curve Equation t 47850co1 [1,0,0,-1113,-79533] 1
47850cp (4 curves)	0	2- 3- 5+ 11+ 29-	2- 3- 5+  4 11+ -2  2  8
Curve Equation t 47850cp1 [1,0,0,-5716063,5259606617] 4 47850cp2 [1,0,0,-5788063,5120286617] 4 47850cp3 [1,0,0,3586937,20110911617] 2 47850cp4 [1,0,0,-16315063,-18786530383] 2
47850cq (2 curves)	1	2- 3- 5+ 11- 29-	2- 3- 5+  0 11-  0  2 -4
Curve Equation t Generators 47850cq1 [1,0,0,-199388,31813392] 2 [112:-3356:1] 47850cq2 [1,0,0,-663388,-170954608] 2 [-352:4532:1]
47850cr (1 curve)	1	2- 3- 5+ 11- 29-	2- 3- 5+  0 11-  0  5 -1
Curve Equation t Generators 47850cr1 [1,0,0,-5963,179667] 1 [486:1407:8]
47850cs (1 curve)	1	2- 3- 5+ 11- 29-	2- 3- 5+  0 11-  5 -5 -6
Curve Equation t Generators 47850cs1 [1,0,0,6022912,14509473792] 1 [-1568:35584:1]
47850ct (1 curve)	1	2- 3- 5+ 11- 29-	2- 3- 5+  3 11- -4 -2 -6
Curve Equation t Generators 47850ct1 [1,0,0,-1838,35292] 1 [22:-86:1]
47850cu (4 curves)	1	2- 3- 5+ 11- 29-	2- 3- 5+ -4 11-  2 -6  4
Curve Equation t Generators 47850cu1 [1,0,0,-19938,327492] 4 [-138:744:1] 47850cu2 [1,0,0,-181938,-29642508] 4 [-258:504:1] 47850cu3 [1,0,0,-51438,-71272008] 2 [612:10944:1] 47850cu4 [1,0,0,-2904438,-1905445008] 2 [-984:504:1]
47850cv (2 curves)	0	2- 3- 5- 11+ 29+	2- 3- 5- -1 11+ -4  6 -4
Curve Equation t 47850cv1 [1,0,0,737,21017] 3 47850cv2 [1,0,0,-6763,-631483] 1
47850cw (1 curve)	0	2- 3- 5- 11+ 29+	2- 3- 5- -2 11+  1  7  4
Curve Equation t 47850cw1 [1,0,0,-2434023,-1461825063] 1
47850cx (1 curve)	0	2- 3- 5- 11+ 29+	2- 3- 5- -3 11+  4  5 -7
Curve Equation t 47850cx1 [1,0,0,-89184563,-324571530783] 1
47850cy (1 curve)	0	2- 3- 5- 11+ 29+	2- 3- 5-  5 11+ -4 -3  1
Curve Equation t 47850cy1 [1,0,0,74612,-76108] 1
47850cz (1 curve)	1	2- 3- 5- 11+ 29-	2- 3- 5- -1 11+ -2  7  3
Curve Equation t Generators 47850cz1 [1,0,0,-688,-7408] 1 [62:-466:1]
47850da (1 curve)	1	2- 3- 5- 11+ 29-	2- 3- 5- -1 11+  6 -1  7
Curve Equation t Generators 47850da1 [1,0,0,-1245638,881921892] 1 [502:19324:1]
47850db (2 curves)	1	2- 3- 5- 11- 29+	2- 3- 5- -2 11- -1  3  0
Curve Equation t Generators 47850db1 [1,0,0,-13528,-609328] 1 [3954:18148:27] 47850db2 [1,0,0,95947,14619297] 5 [-128:559:1]
47850dc (2 curves)	1	2- 3- 5- 11- 29+	2- 3- 5- -2 11-  2 -6 -6
Curve Equation t Generators 47850dc1 [1,0,0,-8888,320892] 2 [-44:814:1] 47850dc2 [1,0,0,-5138,594642] 2 [-2316:55971:64]
47850dd (1 curve)	1	2- 3- 5- 11- 29+	2- 3- 5- -5 11- -2  4 -2
Curve Equation t Generators 47850dd1 [1,0,0,2477,773537] 1 [-58:-631:1]
47850de (1 curve)	0	2- 3- 5- 11- 29-	2- 3- 5- -1 11-  4 -3  7
Curve Equation t 47850de1 [1,0,0,362,19892] 1

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