Cremona's table of elliptic curves

47775 = 3 · 5² · 7² · 13

Class	r	Atkin-Lehner	Eigenvalues
47775a (2 curves)	1	3+ 5+ 7+ 13+	0 3+ 5+ 7+  0 13+  3  8
Curve Equation t Generators 47775a1 [0,-1,1,-1633,-66207] 1 [357:6687:1] 47775a2 [0,-1,1,-185383,-30660582] 1 [677292:3395247:1331]
47775b (1 curve)	1	3+ 5+ 7+ 13+	-1 3+ 5+ 7+  0 13+ -2  1
Curve Equation t Generators 47775b1 [1,1,1,398095697,4077685984826] 1 [904805289840307740867159826510954:276815349952792458250717923040065072:10176600076435135560067849601]
47775c (1 curve)	1	3+ 5+ 7+ 13+	-1 3+ 5+ 7+ -5 13+ -7  1
Curve Equation t Generators 47775c1 [1,1,1,97,146] 1 [6:-35:1]
47775d (1 curve)	0	3+ 5+ 7+ 13-	0 3+ 5+ 7+  0 13-  7 -8
Curve Equation t 47775d1 [0,-1,1,802196967,500409993593] 1
47775e (1 curve)	0	3+ 5+ 7+ 13-	0 3+ 5+ 7+  2 13- -4 -4
Curve Equation t 47775e1 [0,-1,1,57167,-7906452] 1
47775f (1 curve)	0	3+ 5+ 7+ 13-	0 3+ 5+ 7+  5 13-  2  2
Curve Equation t 47775f1 [0,-1,1,-6533,-4631782] 1
47775g (1 curve)	0	3+ 5+ 7+ 13-	0 3+ 5+ 7+ -6 13-  4  4
Curve Equation t 47775g1 [0,-1,1,-163,-792] 1
47775h (1 curve)	2	3+ 5+ 7+ 13-	1 3+ 5+ 7+ -5 13- -3 -5
Curve Equation t Generators 47775h1 [1,1,0,24475,-5900250] 1 [314:-5890:1]&[1630:21235:8]
47775i (1 curve)	0	3+ 5+ 7+ 13-	2 3+ 5+ 7+  4 13-  6 -4
Curve Equation t 47775i1 [0,-1,1,572,11703] 1
47775j (2 curves)	0	3+ 5+ 7- 13+	1 3+ 5+ 7-  0 13+  0 -6
Curve Equation t 47775j1 [1,1,0,-40625,-3165000] 2 47775j2 [1,1,0,-52000,-1265375] 2
47775k (1 curve)	0	3+ 5+ 7- 13+	1 3+ 5+ 7- -1 13+  5  8
Curve Equation t 47775k1 [1,1,0,-2230,41245] 1
47775l (1 curve)	0	3+ 5+ 7- 13+	-2 3+ 5+ 7- -1 13+ -1  2
Curve Equation t 47775l1 [0,-1,1,-233158,-44419782] 1
47775m (1 curve)	1	3+ 5+ 7- 13-	0 3+ 5+ 7-  1 13- -6  2
Curve Equation t Generators 47775m1 [0,-1,1,117,293] 1 [7:37:1]
47775n (1 curve)	1	3+ 5+ 7- 13-	0 3+ 5+ 7-  2 13-  6  4
Curve Equation t Generators 47775n1 [0,-1,1,117,-127] 1 [13:58:1]
47775o (1 curve)	1	3+ 5+ 7- 13-	0 3+ 5+ 7- -2 13-  2 -5
Curve Equation t Generators 47775o1 [0,-1,1,117,10793] 1 [-9:94:1]
47775p (6 curves)	1	3+ 5+ 7- 13-	1 3+ 5+ 7-  4 13-  2  4
Curve Equation t Generators 47775p1 [1,1,0,183725,-166265000] 2 [162822522028029121920:18421989017981739954665:12621995067834368] 47775p2 [1,1,0,-3644400,-2528218125] 4 [105896028750:2214972454425:43986977] 47775p3 [1,1,0,-11147525,11225010000] 4 [87327520:-741407885:32768] 47775p4 [1,1,0,-57391275,-167369883750] 2 [597802023127912000:134273424808192388675:11530922098688] 47775p5 [1,1,0,25081850,69083321875] 2 [-2036621432608:86566546862963:976191488] 47775p6 [1,1,0,-167426900,833723360625] 4 [68470:1299565:8]
47775q (4 curves)	1	3+ 5+ 7- 13-	-1 3+ 5+ 7-  0 13-  2  4
Curve Equation t Generators 47775q1 [1,1,1,-286063,49220156] 4 [-575:5187:1] 47775q2 [1,1,1,-1321188,-538730844] 4 [-6290:33891:8] 47775q3 [1,1,1,1465687,-2506264594] 2 [111216036660:17623576231373:4410944] 47775q4 [1,1,1,-20670063,-36179358594] 2 [-1448942050:462366591:551368]
47775r (1 curve)	1	3+ 5+ 7- 13-	-1 3+ 5+ 7-  0 13-  2 -5
Curve Equation t Generators 47775r1 [1,1,1,-31263,27402906] 1 [196:5273:1]
47775s (2 curves)	1	3+ 5+ 7- 13-	-1 3+ 5+ 7-  0 13-  4  2
Curve Equation t Generators 47775s1 [1,1,1,-39838,2363906] 2 [0:1537:1] 47775s2 [1,1,1,-597213,177379656] 2 [20:12852:1]
47775t (1 curve)	1	3+ 5+ 7- 13-	-1 3+ 5+ 7-  0 13- -5  2
Curve Equation t Generators 47775t1 [1,1,1,-94718,-11496724] 1 [9559444:78939700:24389]
47775u (4 curves)	1	3+ 5+ 7- 13-	-1 3+ 5+ 7-  4 13-  2  0
Curve Equation t Generators 47775u1 [1,1,1,587,11906] 2 [10:132:1] 47775u2 [1,1,1,-5538,134406] 4 [-20:497:1] 47775u3 [1,1,1,-23913,-1298844] 2 [-69:203:1] 47775u4 [1,1,1,-85163,9530156] 2 [181:203:1]
47775v (1 curve)	1	3+ 5+ 7- 13-	2 3+ 5+ 7-  0 13-  8  4
Curve Equation t Generators 47775v1 [0,-1,1,-3978,-95257] 1 [191368393042:-2387427135515:1054977832]
47775w (1 curve)	1	3+ 5+ 7- 13-	2 3+ 5+ 7- -2 13- -4 -3
Curve Equation t Generators 47775w1 [0,-1,1,-32258,-2540707] 1 [2044381190:25874908699:6859000]
47775x (1 curve)	1	3+ 5+ 7- 13-	-2 3+ 5+ 7-  4 13- -4  4
Curve Equation t Generators 47775x1 [0,-1,1,-500208,218521568] 1 [-614:17140:1]
47775y (1 curve)	0	3+ 5- 7+ 13+	2 3+ 5- 7+  0 13+ -3  2
Curve Equation t 47775y1 [0,-1,1,14292,759443] 1
47775z (1 curve)	1	3+ 5- 7+ 13-	0 3+ 5- 7+ -1 13- -6  4
Curve Equation t Generators 47775z1 [0,-1,1,-32013,2215478] 1 [82:367:1]
47775ba (1 curve)	1	3+ 5- 7+ 13-	0 3+ 5- 7+  2 13-  6 -4
Curve Equation t Generators 47775ba1 [0,-1,1,142917,3717818] 1 [376:10510:1]
47775bb (1 curve)	1	3+ 5- 7+ 13-	1 3+ 5- 7+  0 13-  2  5
Curve Equation t Generators 47775bb1 [1,1,0,-25,-650] 1 [10:10:1]
47775bc (1 curve)	1	3+ 5- 7+ 13-	2 3+ 5- 7+  4 13- -4 -4
Curve Equation t Generators 47775bc1 [0,-1,1,-408,-4957] 1 [698:6275:8]
47775bd (1 curve)	1	3+ 5- 7+ 13-	-2 3+ 5- 7+  0 13- -7  6
Curve Equation t Generators 47775bd1 [0,-1,1,-95958,-24469432] 1 [467:5687:1]
47775be (1 curve)	1	3+ 5- 7+ 13-	-2 3+ 5- 7+  0 13-  8 -4
Curve Equation t Generators 47775be1 [0,-1,1,-4873458,4142613068] 1 [1267:487:1]
47775bf (1 curve)	1	3+ 5- 7- 13+	1 3+ 5- 7-  0 13+ -2 -1
Curve Equation t Generators 47775bf1 [1,1,0,203110050,-1485892087875] 1 [814919086707816370956098933057586131060407897952783834142655716:-338377003135791949658762656633990607299597038316763759138786877231:4769513895449994524903026903229167205371986489825976191769]
47775bg (2 curves)	1	3+ 5- 7- 13+	1 3+ 5- 7-  0 13+ -6 -2
Curve Equation t Generators 47775bg1 [1,1,0,-120075,15084000] 2 [1182:5583:8] 47775bg2 [1,1,0,94300,63318375] 2 [29182:1755583:8]
47775bh (1 curve)	1	3+ 5- 7- 13+	1 3+ 5- 7- -5 13+ -7 -1
Curve Equation t Generators 47775bh1 [1,1,0,118800,-4485375] 1 [360:9045:1]
47775bi (2 curves)	1	3+ 5- 7- 13+	1 3+ 5- 7- -6 13+  0 -2
Curve Equation t Generators 47775bi1 [1,1,0,-243555,-45832800] 2 [42569696:-1518688392:29791] 47775bi2 [1,1,0,-36530,-120982875] 2 [20012980:364705575:29791]
47775bj (1 curve)	1	3+ 5- 7- 13+	-2 3+ 5- 7-  0 13+ -3 -2
Curve Equation t Generators 47775bj1 [0,-1,1,12,-22] 1 [2:2:1]
47775bk (1 curve)	0	3+ 5- 7- 13-	0 3+ 5- 7- -1 13-  1  4
Curve Equation t 47775bk1 [0,-1,1,-163,-10347] 1
47775bl (1 curve)	0	3+ 5- 7- 13-	0 3+ 5- 7- -1 13- -6 -4
Curve Equation t 47775bl1 [0,-1,1,-16333,-798057] 1
47775bm (1 curve)	0	3+ 5- 7- 13-	0 3+ 5- 7-  2 13- -4  4
Curve Equation t 47775bm1 [0,-1,1,29167,2864693] 1
47775bn (1 curve)	0	3+ 5- 7- 13-	0 3+ 5- 7- -6 13-  4 -4
Curve Equation t 47775bn1 [0,-1,1,-200083,36345693] 1
47775bo (1 curve)	0	3+ 5- 7- 13-	1 3+ 5- 7-  0 13- -5 -2
Curve Equation t 47775bo1 [1,1,0,-48325,4155250] 1
47775bp (2 curves)	0	3+ 5- 7- 13-	1 3+ 5- 7-  2 13- -6 -4
Curve Equation t 47775bp1 [1,1,0,-305,-2400] 2 47775bp2 [1,1,0,-5030,-139425] 2
47775bq (1 curve)	0	3+ 5- 7- 13-	-1 3+ 5- 7- -1 13-  7  0
Curve Equation t 47775bq1 [1,1,1,587,-39544] 1
47775br (2 curves)	0	3+ 5- 7- 13-	-1 3+ 5- 7-  2 13- -6  4
Curve Equation t 47775br1 [1,1,1,-374263,97289156] 2 47775br2 [1,1,1,-6162388,5885414156] 2
47775bs (1 curve)	0	3+ 5- 7- 13-	2 3+ 5- 7-  0 13- -7 -6
Curve Equation t 47775bs1 [0,-1,1,-188078,67294583] 1
47775bt (1 curve)	0	3+ 5- 7- 13-	-2 3+ 5- 7-  4 13-  6  4
Curve Equation t 47775bt1 [0,-1,1,292,-4432] 1
47775bu (1 curve)	0	3- 5+ 7+ 13+	0 3- 5+ 7+  1 13+  6 -2
Curve Equation t 47775bu1 [0,1,1,5717,-112031] 1
47775bv (1 curve)	0	3- 5+ 7+ 13+	0 3- 5+ 7+  2 13+ -6 -4
Curve Equation t 47775bv1 [0,1,1,5717,32029] 1
47775bw (1 curve)	0	3- 5+ 7+ 13+	-1 3- 5+ 7+  0 13+ -2  5
Curve Equation t 47775bw1 [1,0,0,-638,-79983] 1
47775bx (1 curve)	0	3- 5+ 7+ 13+	2 3- 5+ 7+  0 13+ -8 -4
Curve Equation t 47775bx1 [0,1,1,-194938,33062929] 1
47775by (1 curve)	0	3- 5+ 7+ 13+	-2 3- 5+ 7+  4 13+  4 -4
Curve Equation t 47775by1 [0,1,1,-10208,-640006] 1
47775bz (1 curve)	1	3- 5+ 7- 13+	0 3- 5+ 7-  0 13+ -7  8
Curve Equation t Generators 47775bz1 [0,1,1,16371367,-1454243731] 1 [643:96637:1]
47775ca (1 curve)	1	3- 5+ 7- 13+	0 3- 5+ 7-  2 13+  4  4
Curve Equation t Generators 47775ca1 [0,1,1,1167,23384] 1 [132:1579:1]
47775cb (1 curve)	1	3- 5+ 7- 13+	0 3- 5+ 7- -2 13+ -2  5
Curve Equation t Generators 47775cb1 [0,1,1,5717,-3713531] 1 [359:6688:1]
47775cc (1 curve)	1	3- 5+ 7- 13+	0 3- 5+ 7-  5 13+ -2 -2
Curve Equation t Generators 47775cc1 [0,1,1,-320133,1589341394] 1 [1368:60937:1]
47775cd (1 curve)	1	3- 5+ 7- 13+	0 3- 5+ 7- -6 13+ -4 -4
Curve Equation t Generators 47775cd1 [0,1,1,-8003,287564] 1 [24:331:1]
47775ce (1 curve)	1	3- 5+ 7- 13+	1 3- 5+ 7- -1 13+ -7  0
Curve Equation t Generators 47775ce1 [1,0,1,14674,-4972327] 1 [1821:76942:1]
47775cf (4 curves)	1	3- 5+ 7- 13+	1 3- 5+ 7- -4 13+  2  0
Curve Equation t Generators 47775cf1 [1,0,1,-1250751,533042773] 2 [-283:29541:1] 47775cf2 [1,0,1,-2285876,-477239227] 4 [-3954:186473:8] 47775cf3 [1,0,1,8463499,-3680552977] 2 [57198:-5227567:8] 47775cf4 [1,0,1,-29597251,-61927832977] 2 [-24874:63883:8]
47775cg (1 curve)	1	3- 5+ 7- 13+	1 3- 5+ 7- -5 13+  3  5
Curve Equation t Generators 47775cg1 [1,0,1,499,17273] 1 [27:211:1]
47775ch (2 curves)	1	3- 5+ 7- 13+	-1 3- 5+ 7-  0 13+ -4 -2
Curve Equation t Generators 47775ch1 [1,0,0,-813,-7008] 2 [-13:44:1] 47775ch2 [1,0,0,-12188,-518883] 2 [172:1489:1]
47775ci (1 curve)	1	3- 5+ 7- 13+	-1 3- 5+ 7-  0 13+  5 -2
Curve Equation t Generators 47775ci1 [1,0,0,-1933,33242] 1 [53:257:1]
47775cj (4 curves)	1	3- 5+ 7- 13+	-1 3- 5+ 7-  4 13+  6 -8
Curve Equation t Generators 47775cj1 [1,0,0,-34938,-587133] 2 [-153:1164:1] 47775cj2 [1,0,0,-335063,74143992] 4 [-563:9469:1] 47775cj3 [1,0,0,-120688,167825867] 2 [263:-12553:1] 47775cj4 [1,0,0,-5351438,4764454617] 2 [1336:-641:1]
47775ck (1 curve)	1	3- 5+ 7- 13+	2 3- 5+ 7-  4 13+ -6  4
Curve Equation t Generators 47775ck1 [0,1,1,12,-31] 1 [3410:7339:1000]
47775cl (1 curve)	1	3- 5+ 7- 13+	-2 3- 5+ 7- -2 13+  0 -1
Curve Equation t Generators 47775cl1 [0,1,1,3111092,6787263844] 1 [3257:226894:1]
47775cm (1 curve)	1	3- 5+ 7- 13+	-2 3- 5+ 7-  5 13+ -7  6
Curve Equation t Generators 47775cm1 [0,1,1,-81258,13979144] 1 [-207:4687:1]
47775cn (2 curves)	0	3- 5+ 7- 13-	0 3- 5+ 7-  0 13- -3 -8
Curve Equation t 47775cn1 [0,1,1,-80033,22868969] 1 47775cn2 [0,1,1,-9083783,10534747094] 1
47775co (2 curves)	0	3- 5+ 7- 13-	1 3- 5+ 7-  0 13-  0  6
Curve Equation t 47775co1 [1,0,1,-1990651,1079623073] 2 47775co2 [1,0,1,-2548026,426379573] 2
47775cp (8 curves)	0	3- 5+ 7- 13-	1 3- 5+ 7-  4 13-  2  4
Curve Equation t 47775cp1 [1,0,1,-134776,-19054927] 2 47775cp2 [1,0,1,-140901,-17229677] 4 47775cp3 [1,0,1,257224,-96854677] 2 47775cp4 [1,0,1,-637026,179235823] 4 47775cp5 [1,0,1,741099,849004573] 2 47775cp6 [1,0,1,-9953151,12085243573] 4 47775cp7 [1,0,1,-9714276,12692941573] 2 47775cp8 [1,0,1,-159250026,773499306073] 2
47775cq (1 curve)	0	3- 5+ 7- 13-	-1 3- 5+ 7-  0 13-  2 -1
Curve Equation t 47775cq1 [1,0,0,8124402,-11887136703] 1
47775cr (4 curves)	0	3- 5+ 7- 13-	-1 3- 5+ 7-  0 13-  2 -4
Curve Equation t 47775cr1 [1,0,0,7937,-287008] 4 47775cr2 [1,0,0,-47188,-2767633] 4 47775cr3 [1,0,0,-286063,56712242] 2 47775cr4 [1,0,0,-690313,-220787008] 2
47775cs (4 curves)	0	3- 5+ 7- 13-	-1 3- 5+ 7-  4 13- -2 -4
Curve Equation t 47775cs1 [1,0,0,-174588,28063167] 2 47775cs2 [1,0,0,-180713,25986792] 4 47775cs3 [1,0,0,278662,136696167] 2 47775cs4 [1,0,0,-738088,-217586083] 2
47775ct (1 curve)	0	3- 5+ 7- 13-	-1 3- 5+ 7- -5 13-  7 -1
Curve Equation t 47775ct1 [1,0,0,4752,-35883] 1
47775cu (1 curve)	0	3- 5+ 7- 13-	-2 3- 5+ 7- -5 13-  5 -2
Curve Equation t 47775cu1 [0,1,1,-408,28844] 1
47775cv (1 curve)	1	3- 5- 7+ 13+	0 3- 5- 7+ -1 13+  6  4
Curve Equation t Generators 47775cv1 [0,1,1,-800333,275334119] 1 [433:3187:1]
47775cw (1 curve)	1	3- 5- 7+ 13+	0 3- 5- 7+  2 13+  4 -4
Curve Equation t Generators 47775cw1 [0,1,1,1429167,-985448131] 1 [633:13162:1]
47775cx (1 curve)	1	3- 5- 7+ 13+	0 3- 5- 7+ -6 13+ -4  4
Curve Equation t Generators 47775cx1 [0,1,1,-4083,-107131] 1 [233:3412:1]
47775cy (1 curve)	1	3- 5- 7+ 13+	2 3- 5- 7+  0 13+  7  6
Curve Equation t Generators 47775cy1 [0,1,1,-3838,-197291] 1 [634:401:8]
47775cz (1 curve)	1	3- 5- 7+ 13+	-2 3- 5- 7+  4 13+ -6 -4
Curve Equation t Generators 47775cz1 [0,1,1,14292,1491494] 1 [-67:487:1]
47775da (1 curve)	0	3- 5- 7+ 13-	1 3- 5- 7+  0 13-  2  1
Curve Equation t 47775da1 [1,0,1,9952392424,509690843318423] 1
47775db (1 curve)	0	3- 5- 7+ 13-	1 3- 5- 7+ -5 13-  7  1
Curve Equation t 47775db1 [1,0,1,2424,13423] 1
47775dc (1 curve)	0	3- 5- 7+ 13-	-2 3- 5- 7+  0 13-  3  2
Curve Equation t 47775dc1 [0,1,1,572,6304] 1
47775dd (1 curve)	0	3- 5- 7- 13+	0 3- 5- 7- -1 13+ -1  4
Curve Equation t 47775dd1 [0,1,1,-4083,-1301506] 1
47775de (1 curve)	0	3- 5- 7- 13+	0 3- 5- 7- -1 13+  6 -4
Curve Equation t 47775de1 [0,1,1,-653,-6646] 1
47775df (1 curve)	0	3- 5- 7- 13+	0 3- 5- 7-  2 13+ -6  4
Curve Equation t 47775df1 [0,1,1,2917,-10006] 1
47775dg (1 curve)	0	3- 5- 7- 13+	1 3- 5- 7-  0 13+ -2 -5
Curve Equation t 47775dg1 [1,0,1,-1251,219223] 1
47775dh (1 curve)	0	3- 5- 7- 13+	1 3- 5- 7-  0 13+  5  2
Curve Equation t 47775dh1 [1,0,1,-2367951,-1432354577] 1
47775di (2 curves)	0	3- 5- 7- 13+	1 3- 5- 7-  2 13+  6  4
Curve Equation t 47775di1 [1,0,1,-14971,778313] 2 47775di2 [1,0,1,-246496,47083313] 2
47775dj (2 curves)	0	3- 5- 7- 13+	-1 3- 5- 7-  2 13+  6 -4
Curve Equation t 47775dj1 [1,0,0,-7638,-284733] 2 47775dj2 [1,0,0,-125763,-17176608] 2
47775dk (1 curve)	0	3- 5- 7- 13+	2 3- 5- 7-  4 13+  4  4
Curve Equation t 47775dk1 [0,1,1,-20008,1740169] 1
47775dl (1 curve)	0	3- 5- 7- 13+	-2 3- 5- 7-  0 13+  7 -6
Curve Equation t 47775dl1 [0,1,1,-4701958,8402418994] 1
47775dm (1 curve)	0	3- 5- 7- 13+	-2 3- 5- 7-  0 13+ -8  4
Curve Equation t 47775dm1 [0,1,1,-99458,-12106006] 1
47775dn (2 curves)	1	3- 5- 7- 13-	-1 3- 5- 7-  0 13-  6 -2
Curve Equation t Generators 47775dn1 [1,0,0,-4803,120672] 2 [-3:369:1] 47775dn2 [1,0,0,3772,506547] 2 [-17:670:1]
47775do (1 curve)	1	3- 5- 7- 13-	-1 3- 5- 7- -1 13- -5  8
Curve Equation t Generators 47775do1 [1,0,0,-55763,5267142] 1 [127:-551:1]
47775dp (2 curves)	1	3- 5- 7- 13-	-1 3- 5- 7- -6 13-  0 -2
Curve Equation t Generators 47775dp1 [1,0,0,-6088888,-5716922233] 2 [227307:19722208:27] 47775dp2 [1,0,0,-913263,-15121032858] 2 [6686014962:594065790778:804357]
47775dq (1 curve)	1	3- 5- 7- 13-	2 3- 5- 7-  0 13-  3 -2
Curve Equation t Generators 47775dq1 [0,1,1,292,-2131] 1 [12676986:62153279:941192]

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