Cremona's table of elliptic curves

63210 = 2 · 3 · 5 · 7² · 43

Class	r	Atkin-Lehner	Eigenvalues
63210a (4 curves)	0	2+ 3+ 5+ 7- 43+	2+ 3+ 5+ 7-  0 -6 -2 -4
Curve Equation t 63210a1 [1,1,0,-326708,70198719312] 2 63210a2 [1,1,0,-257227828,1563256648528] 4 63210a3 [1,1,0,-526923828,-2282230737072] 2 63210a4 [1,1,0,-4097949748,100969589526352] 2
63210b (2 curves)	0	2+ 3+ 5+ 7- 43+	2+ 3+ 5+ 7- -2  2  4  6
Curve Equation t 63210b1 [1,1,0,-1838,-21132] 2 63210b2 [1,1,0,-11638,462988] 2
63210c (1 curve)	1	2+ 3+ 5+ 7- 43-	2+ 3+ 5+ 7-  0 -6 -6 -5
Curve Equation t Generators 63210c1 [1,1,0,-32463,-9930843] 1 [1827:76761:1]
63210d (1 curve)	1	2+ 3+ 5+ 7- 43-	2+ 3+ 5+ 7-  3 -6 -6 -2
Curve Equation t Generators 63210d1 [1,1,0,-59168,5515182] 1 [139:-94:1]
63210e (1 curve)	1	2+ 3+ 5+ 7- 43-	2+ 3+ 5+ 7-  4  3  0 -7
Curve Equation t Generators 63210e1 [1,1,0,5891267672,1149504024308032] 1 [-12292550665958654896790776934469836204941890144478437901914333870270789763721403050380346074:28352296638983283633352805874827383779923137244430427226482715859949210610498712112761797373245:869265949449039491922669439448758587983516824382580338557255155683494341557246164178504]
63210f (2 curves)	1	2+ 3+ 5+ 7- 43-	2+ 3+ 5+ 7-  4 -4  0  0
Curve Equation t Generators 63210f1 [1,1,0,122,1408] 2 [6:-52:1] 63210f2 [1,1,0,-1348,16402] 2 [-39:127:1]
63210g (4 curves)	1	2+ 3+ 5+ 7- 43-	2+ 3+ 5+ 7- -6 -2  0 -2
Curve Equation t Generators 63210g1 [1,1,0,-5268,-45828] 2 [-49:337:1] 63210g2 [1,1,0,-66518,-6624078] 2 [-147:141:1] 63210g3 [1,1,0,-244143,46328997] 2 [-106:8481:1] 63210g4 [1,1,0,-253943,42395277] 2 [-111:8376:1]
63210h (4 curves)	1	2+ 3+ 5- 7- 43+	2+ 3+ 5- 7-  0  2 -2 -4
Curve Equation t Generators 63210h1 [1,1,0,-3357,73389] 2 [38:31:1] 63210h2 [1,1,0,-4337,25761] 4 [-43:389:1] 63210h3 [1,1,0,16733,223819] 2 [43:991:1] 63210h4 [1,1,0,-41087,-3200889] 2 [-113:179:1]
63210i (1 curve)	1	2+ 3+ 5- 7- 43+	2+ 3+ 5- 7-  0 -7  4 -1
Curve Equation t Generators 63210i1 [1,1,0,248258,1639467124] 1 [-417804185:4736353879:389017]
63210j (4 curves)	1	2+ 3+ 5- 7- 43+	2+ 3+ 5- 7-  4  2  2  0
Curve Equation t Generators 63210j1 [1,1,0,-162607,1474789] 2 [-1226:38833:8] 63210j2 [1,1,0,-1730607,-873782811] 4 [-155982:44971:216] 63210j3 [1,1,0,-887807,-1724842251] 2 [261988530:-288664753493:216] 63210j4 [1,1,0,-27661407,-56007849771] 2 [-1343831413170:674179238869:442450728]
63210k (1 curve)	0	2+ 3+ 5- 7- 43-	2+ 3+ 5- 7-  0  2  4  0
Curve Equation t 63210k1 [1,1,0,-6052,314224] 1
63210l (2 curves)	0	2+ 3+ 5- 7- 43-	2+ 3+ 5- 7-  0 -2  0 -8
Curve Equation t 63210l1 [1,1,0,-19912,-1091264] 1 63210l2 [1,1,0,29753,-5162891] 1
63210m (6 curves)	0	2+ 3+ 5- 7- 43-	2+ 3+ 5- 7-  0  4  6 -2
Curve Equation t 63210m1 [1,1,0,-9001472,-10399461456] 2 63210m2 [1,1,0,-144026852,-665353569684] 2 63210m3 [1,1,0,464593,-30834838299] 2 63210m4 [1,1,0,-144747887,-658356049371] 2 63210m5 [1,1,0,-4181342,832555501044] 2 63210m6 [1,1,0,-1352912222,18875067975156] 2
63210n (1 curve)	0	2+ 3+ 5- 7- 43-	2+ 3+ 5- 7-  3  0  0  6
Curve Equation t 63210n1 [1,1,0,-67,-251] 1
63210o (4 curves)	0	2+ 3+ 5- 7- 43-	2+ 3+ 5- 7-  4 -2 -6  4
Curve Equation t 63210o1 [1,1,0,4973,1704109] 2 63210o2 [1,1,0,-187107,30016701] 4 63210o3 [1,1,0,-482087,-88388271] 2 63210o4 [1,1,0,-2965407,1964269161] 4
63210p (4 curves)	0	2+ 3+ 5- 7- 43-	2+ 3+ 5- 7-  4  6  6  8
Curve Equation t 63210p1 [1,1,0,32658,-2928204] 2 63210p2 [1,1,0,-218222,-29872716] 4 63210p3 [1,1,0,-1198222,479531284] 2 63210p4 [1,1,0,-3252302,-2258707884] 2
63210q (2 curves)	0	2+ 3+ 5- 7- 43-	2+ 3+ 5- 7- -4 -2  0  2
Curve Equation t 63210q1 [1,1,0,-8012,-305136] 2 63210q2 [1,1,0,-131492,-18407304] 2
63210r (2 curves)	1	2+ 3- 5+ 7+ 43-	2+ 3- 5+ 7+  0  2  0  8
Curve Equation t Generators 63210r1 [1,0,1,-975714,371376436] 3 [-682:27168:1] 63210r2 [1,0,1,1457871,1775245252] 1 [-122488:19305613:512]
63210s (1 curve)	1	2+ 3- 5+ 7+ 43-	2+ 3- 5+ 7+  0 -2 -4  0
Curve Equation t Generators 63210s1 [1,0,1,-124,-934] 1 [18:43:1]
63210t (2 curves)	1	2+ 3- 5+ 7- 43+	2+ 3- 5+ 7-  0  0 -8  8
Curve Equation t Generators 63210t1 [1,0,1,93956,-11539258] 2 [235:4733:1] 63210t2 [1,0,1,-554314,-110594914] 2 [1264:34133:1]
63210u (2 curves)	1	2+ 3- 5+ 7- 43+	2+ 3- 5+ 7-  0  4  0 -4
Curve Equation t Generators 63210u1 [1,0,1,-1349,29936] 2 [-24:232:1] 63210u2 [1,0,1,-24869,1506992] 2 [200:2031:1]
63210v (1 curve)	1	2+ 3- 5+ 7- 43+	2+ 3- 5+ 7-  3 -2 -6 -2
Curve Equation t Generators 63210v1 [1,0,1,1346,-111184] 1 [46:197:1]
63210w (2 curves)	1	2+ 3- 5+ 7- 43+	2+ 3- 5+ 7-  6 -2  0  2
Curve Equation t Generators 63210w1 [1,0,1,-7571849,7998702716] 2 [-1602:127363:1] 63210w2 [1,0,1,-4509349,14529177716] 2 [781:-107554:1]
63210x (1 curve)	0	2+ 3- 5+ 7- 43-	2+ 3- 5+ 7-  3  0  0 -6
Curve Equation t 63210x1 [1,0,1,-3309,76192] 1
63210y (4 curves)	2	2+ 3- 5+ 7- 43-	2+ 3- 5+ 7- -4 -2 -6 -4
Curve Equation t Generators 63210y1 [1,0,1,-18009,-791108] 2 [-92:344:1]&[-52:99:1] 63210y2 [1,0,1,-80729,8064956] 4 [-282:3043:1]&[-69:3682:1] 63210y3 [1,0,1,95671,38476316] 2 [431:-12858:1]&[216:8212:1] 63210y4 [1,0,1,-1260649,544692572] 2 [319:13070:1]&[-7402:246247:8]
63210z (1 curve)	0	2+ 3- 5- 7+ 43-	2+ 3- 5- 7+  0  6  6  5
Curve Equation t 63210z1 [1,0,1,-663,28858] 1
63210ba (1 curve)	1	2+ 3- 5- 7- 43-	2+ 3- 5- 7- -1  2 -6 -6
Curve Equation t Generators 63210ba1 [1,0,1,-5170163,-6253348594] 1 [4400:234837:1]
63210bb (2 curves)	1	2+ 3- 5- 7- 43-	2+ 3- 5- 7-  2  2  0  6
Curve Equation t Generators 63210bb1 [1,0,1,-966328928,11561988914606] 2 [68121:-16215821:1] 63210bb2 [1,0,1,-965074528,11593503456686] 2 [-26183:4361939:1]
63210bc (2 curves)	1	2+ 3- 5- 7- 43-	2+ 3- 5- 7-  4  2  4 -6
Curve Equation t Generators 63210bc1 [1,0,1,-18303,990238] 2 [32:645:1] 63210bc2 [1,0,1,-296133,62001706] 2 [260:1482:1]
63210bd (4 curves)	1	2+ 3- 5- 7- 43-	2+ 3- 5- 7- -4  6  6 -8
Curve Equation t Generators 63210bd1 [1,0,1,5462,526796] 2 [-38:533:1] 63210bd2 [1,0,1,-73918,7067708] 4 [-101:3725:1] 63210bd3 [1,0,1,-263548,-44208244] 2 [-230:2177:1] 63210bd4 [1,0,1,-1154368,477279548] 2 [928:13868:1]
63210be (1 curve)	1	2- 3+ 5+ 7- 43+	2- 3+ 5+ 7-  1  2 -2  6
Curve Equation t Generators 63210be1 [1,1,1,-23521,-121799497] 1 [23533:3598308:1]
63210bf (1 curve)	1	2- 3+ 5+ 7- 43+	2- 3+ 5+ 7- -1  4  4  2
Curve Equation t Generators 63210bf1 [1,1,1,-3382716,-2462769891] 1 [20061:2819033:1]
63210bg (1 curve)	1	2- 3+ 5+ 7- 43+	2- 3+ 5+ 7- -2  1  6 -1
Curve Equation t Generators 63210bg1 [1,1,1,-2451,254799] 1 [3892:35081:64]
63210bh (1 curve)	1	2- 3+ 5+ 7- 43+	2- 3+ 5+ 7-  4 -2 -6 -1
Curve Equation t Generators 63210bh1 [1,1,1,629,-2324071] 1 [143:774:1]
63210bi (4 curves)	1	2- 3+ 5+ 7- 43+	2- 3+ 5+ 7-  4 -2 -6 -4
Curve Equation t Generators 63210bi1 [1,1,1,9316369,-8729946331] 2 [91828873333:2771102580274:97972181] 63210bi2 [1,1,1,-48551651,-79028017027] 4 [-6975143600269973459892:-159374558283825432095219:1244753039431294912] 63210bi3 [1,1,1,-334438721,2296922244329] 2 [2359411699007270873069951489948509103022915418:-48667093399979692653737041582569540731047535255:189554691786675817274171532932129257717592] 63210bi4 [1,1,1,-688552901,-6952897442527] 2 [-27807099708157126858932504506768939854156:-51391696282243739731507081681949244621517:1823882339712662241841745753001726016]
63210bj (2 curves)	1	2- 3+ 5+ 7- 43+	2- 3+ 5+ 7- -4  2  4  6
Curve Equation t Generators 63210bj1 [1,1,1,762194,-4932242197] 2 [21511211:-1164975987:6859] 63210bj2 [1,1,1,-39245326,-91956599701] 2 [-3739:52143:1]
63210bk (4 curves)	1	2- 3+ 5+ 7- 43+	2- 3+ 5+ 7- -4  6 -2  0
Curve Equation t Generators 63210bk1 [1,1,1,-1838481,-969921681] 2 [2463:95984:1] 63210bk2 [1,1,1,-29498001,-61677036177] 4 [8637:568344:1] 63210bk3 [1,1,1,-29580321,-61315585521] 2 [2858480999283:-593938809740680:65450827] 63210bk4 [1,1,1,-471968001,-3946740624177] 2 [101148489:-18681461232:2197]
63210bl (1 curve)	0	2- 3+ 5+ 7- 43-	2- 3+ 5+ 7-  3  5  8  3
Curve Equation t 63210bl1 [1,1,1,-26566,-1678741] 1
63210bm (1 curve)	0	2- 3+ 5+ 7- 43-	2- 3+ 5+ 7-  5  3 -2  5
Curve Equation t 63210bm1 [1,1,1,117599,-12230401] 1
63210bn (2 curves)	0	2- 3+ 5+ 7- 43-	2- 3+ 5+ 7-  6  2  0  2
Curve Equation t 63210bn1 [1,1,1,-6126,180123] 2 63210bn2 [1,1,1,-1226,466283] 2
63210bo (2 curves)	0	2- 3+ 5+ 7- 43-	2- 3+ 5+ 7- -6  2 -4  6
Curve Equation t 63210bo1 [1,1,1,-392001,-392001] 2 63210bo2 [1,1,1,1567999,-1176001] 2
63210bp (1 curve)	1	2- 3+ 5- 7+ 43+	2- 3+ 5- 7+  2  1 -6 -4
Curve Equation t Generators 63210bp1 [1,1,1,21755,-3753205] 1 [923:27888:1]
63210bq (2 curves)	0	2- 3+ 5- 7- 43+	2- 3+ 5- 7-  2  6 -8  6
Curve Equation t 63210bq1 [1,1,1,-308015,65508197] 2 63210bq2 [1,1,1,-185515,118281197] 2
63210br (2 curves)	0	2- 3+ 5- 7- 43+	2- 3+ 5- 7- -2  6  4  2
Curve Equation t 63210br1 [1,1,1,-9360,-325263] 2 63210br2 [1,1,1,10240,-1485583] 2
63210bs (1 curve)	0	2- 3+ 5- 7- 43+	2- 3+ 5- 7-  5 -4 -4  6
Curve Equation t 63210bs1 [1,1,1,-29215635,-96736858863] 1
63210bt (1 curve)	1	2- 3+ 5- 7- 43-	2- 3+ 5- 7-  0  2  2 -3
Curve Equation t Generators 63210bt1 [1,1,1,-575,7517] 1 [57:376:1]
63210bu (4 curves)	1	2- 3+ 5- 7- 43-	2- 3+ 5- 7-  0 -2  6 -8
Curve Equation t Generators 63210bu1 [1,1,1,-860735,-307707163] 2 [-4274:2923:8] 63210bu2 [1,1,1,-811735,-344221963] 2 [58446:-4984897:8] 63210bu3 [1,1,1,-1680995,363710045] 2 [-4466:270979:8] 63210bu4 [1,1,1,5975255,2761647545] 2 [11214:937379:8]
63210bv (4 curves)	1	2- 3+ 5- 7- 43-	2- 3+ 5- 7-  0  4  0  4
Curve Equation t Generators 63210bv1 [1,1,1,232945,101364437] 2 [41:10514:1] 63210bv2 [1,1,1,-2360135,1220537765] 2 [-727:50888:1] 63210bv3 [1,1,1,-11524115,15077128205] 2 [1679:20720:1] 63210bv4 [1,1,1,-184468145,964263142457] 2 [62844580:-49184723:8000]
63210bw (2 curves)	1	2- 3+ 5- 7- 43-	2- 3+ 5- 7-  0 -4 -4  0
Curve Equation t Generators 63210bw1 [1,1,1,-935705,-355680025] 2 [1203:15568:1] 63210bw2 [1,1,1,-15053585,-22486868713] 2 [34817:6437116:1]
63210bx (2 curves)	1	2- 3+ 5- 7- 43-	2- 3+ 5- 7- -4  0 -2  2
Curve Equation t Generators 63210bx1 [1,1,1,4115,4115] 2 [13:238:1] 63210bx2 [1,1,1,-16465,12347] 2 [-53:886:1]
63210by (1 curve)	1	2- 3+ 5- 7- 43-	2- 3+ 5- 7-  5 -2  6  2
Curve Equation t Generators 63210by1 [1,1,1,-38270,3116987] 1 [-85:2443:1]
63210bz (1 curve)	1	2- 3+ 5- 7- 43-	2- 3+ 5- 7- -5  4  0 -2
Curve Equation t Generators 63210bz1 [1,1,1,1770,-37773] 1 [27:161:1]
63210ca (2 curves)	1	2- 3+ 5- 7- 43-	2- 3+ 5- 7- -6 -5 -6  1
Curve Equation t Generators 63210ca1 [1,1,1,4605,11745] 1 [43:-562:1] 63210ca2 [1,1,1,-65955,6870177] 1 [157:566:1]
63210cb (1 curve)	0	2- 3- 5+ 7+ 43-	2- 3- 5+ 7+  0 -2 -2  3
Curve Equation t 63210cb1 [1,0,0,-28176,-2662920] 1
63210cc (2 curves)	0	2- 3- 5+ 7+ 43-	2- 3- 5+ 7+ -6  5  6 -1
Curve Equation t 63210cc1 [1,0,0,225644,-3351664] 3 63210cc2 [1,0,0,-3231796,-2366166160] 1
63210cd (4 curves)	0	2- 3- 5+ 7- 43+	2- 3- 5+ 7-  0  2 -6  8
Curve Equation t 63210cd1 [1,0,0,-16725856001,832499749577481] 2 63210cd2 [1,0,0,-267605856001,53283329061577481] 4 63210cd3 [1,0,0,-267598016001,53286607221161481] 2 63210cd4 [1,0,0,-4281693696001,3410134130389993481] 2
63210ce (2 curves)	0	2- 3- 5+ 7- 43+	2- 3- 5+ 7-  0 -4  6  2
Curve Equation t 63210ce1 [1,0,0,-1,-406519] 2 63210ce2 [1,0,0,-82321,-8951335] 2
63210cf (1 curve)	0	2- 3- 5+ 7- 43+	2- 3- 5+ 7-  2 -1  6  4
Curve Equation t 63210cf1 [1,0,0,1065994,1290547236] 1
63210cg (6 curves)	0	2- 3- 5+ 7- 43+	2- 3- 5+ 7- -4  2 -2  4
Curve Equation t 63210cg1 [1,0,0,-1452116,-673640304] 2 63210cg2 [1,0,0,-1456036,-669821440] 4 63210cg3 [1,0,0,-318256,-1689044764] 2 63210cg4 [1,0,0,-2656536,593824860] 4 63210cg5 [1,0,0,9845814,4587075450] 2 63210cg6 [1,0,0,-34366886,77478739470] 2
63210ch (4 curves)	0	2- 3- 5+ 7- 43+	2- 3- 5+ 7- -4  2 -6 -8
Curve Equation t 63210ch1 [1,0,0,-1226,-143340] 2 63210ch2 [1,0,0,-49246,-4186624] 4 63210ch3 [1,0,0,-80116,1684850] 2 63210ch4 [1,0,0,-786696,-268636194] 2
63210ci (1 curve)	0	2- 3- 5+ 7- 43+	2- 3- 5+ 7- -4  5  8  5
Curve Equation t 63210ci1 [1,0,0,-2206,-73564] 1
63210cj (1 curve)	0	2- 3- 5+ 7- 43+	2- 3- 5+ 7-  5  4  4 -6
Curve Equation t 63210cj1 [1,0,0,-1431566116,33176447891600] 1
63210ck (1 curve)	1	2- 3- 5+ 7- 43-	2- 3- 5+ 7-  1 -2  6  6
Curve Equation t Generators 63210ck1 [1,0,0,-54391,-121127329] 1 [1557448:84684871:512]
63210cl (1 curve)	1	2- 3- 5+ 7- 43-	2- 3- 5+ 7- -5 -4  0  2
Curve Equation t Generators 63210cl1 [1,0,0,86729,13216265] 1 [-94:2105:1]
63210cm (1 curve)	0	2- 3- 5- 7+ 43+	2- 3- 5- 7+ -2 -1 -6  1
Curve Equation t 63210cm1 [1,0,0,-50,-750] 1
63210cn (1 curve)	0	2- 3- 5- 7+ 43+	2- 3- 5- 7+  4  2  6  1
Curve Equation t 63210cn1 [1,0,0,30820,797248752] 1
63210co (1 curve)	1	2- 3- 5- 7+ 43-	2- 3- 5- 7+  3 -5 -8 -3
Curve Equation t Generators 63210co1 [1,0,0,-1301735,571902897] 1 [664:313:1]
63210cp (1 curve)	1	2- 3- 5- 7+ 43-	2- 3- 5- 7+  5 -3  2 -5
Curve Equation t Generators 63210cp1 [1,0,0,2400,36000] 1 [270:4380:1]
63210cq (1 curve)	1	2- 3- 5- 7- 43+	2- 3- 5- 7- -1 -4 -4 -2
Curve Equation t Generators 63210cq1 [1,0,0,-69035,7170225] 1 [130:565:1]
63210cr (2 curves)	1	2- 3- 5- 7- 43+	2- 3- 5- 7-  2  2 -4  2
Curve Equation t Generators 63210cr1 [1,0,0,-4215,-94683] 2 [-218:199:8] 63210cr2 [1,0,0,-65465,-6452433] 2 [-864522:419471:5832]
63210cs (1 curve)	1	2- 3- 5- 7- 43+	2- 3- 5- 7- -3  2  6  2
Curve Equation t Generators 63210cs1 [1,0,0,1418455380,-12183053439600] 1 [154200:62156820:1]
63210ct (2 curves)	1	2- 3- 5- 7- 43+	2- 3- 5- 7- -4 -4 -4 -4
Curve Equation t Generators 63210ct1 [1,0,0,-502545,142151337] 2 [1194:-35877:1] 63210ct2 [1,0,0,-8123025,8910275625] 2 [1590:3075:1]

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