Cremona's table of elliptic curves

54208 = 2⁶ · 7 · 11²

Class	r	Atkin-Lehner	Eigenvalues
54208a (1 curve)	1	2+ 7+ 11+	2+  1 -3 7+ 11+ -2 -6  0
Curve Equation t Generators 54208a1 [0,1,0,-7,-101] 1 [18:77:1]
54208b (1 curve)	1	2+ 7+ 11+	2+ -1 -1 7+ 11+  0  0 -8
Curve Equation t Generators 54208b1 [0,-1,0,7979,461837] 1 [884:26411:1]
54208c (1 curve)	1	2+ 7+ 11+	2+ -1 -3 7+ 11+  2  6  0
Curve Equation t Generators 54208c1 [0,-1,0,-887,-130931] 1 [444:9317:1]
54208d (2 curves)	1	2+ 7+ 11+	2+  2  2 7+ 11+ -6 -6  4
Curve Equation t Generators 54208d1 [0,-1,0,-14197,625077] 2 [208842435:384132196:2460375] 54208d2 [0,-1,0,-40817,-2372335] 2 [30905:201096:125]
54208e (1 curve)	1	2+ 7+ 11+	2+  3  3 7+ 11+ -4  4 -8
Curve Equation t Generators 54208e1 [0,0,0,-873136,-314371552] 1 [35044137342826733790799712307:8279081756329628671708975245937:627710386676601512579931]
54208f (2 curves)	2	2+ 7+ 11-	2+  0  0 7+ 11- -2 -4  2
Curve Equation t Generators 54208f1 [0,0,0,-2420,-127776] 2 [110:968:1]&[390:7632:1] 54208f2 [0,0,0,-55660,-5047152] 2 [-139:63:1]&[-134:72:1]
54208g (1 curve)	0	2+ 7+ 11-	2+  0  1 7+ 11-  1 -1  0
Curve Equation t 54208g1 [0,0,0,-388652,169367088] 1
54208h (4 curves)	0	2+ 7+ 11-	2+  0  2 7+ 11-  2  2 -4
Curve Equation t 54208h1 [0,0,0,-12584,543048] 2 54208h2 [0,0,0,-15004,319440] 4 54208h3 [0,0,0,52756,2406448] 2 54208h4 [0,0,0,-121484,-16078480] 2
54208i (1 curve)	0	2+ 7+ 11-	2+  1  1 7+ 11-  0  2 -2
Curve Equation t 54208i1 [0,1,0,-645,-2093533] 1
54208j (1 curve)	0	2+ 7+ 11-	2+  1 -1 7+ 11- -2  0  6
Curve Equation t 54208j1 [0,1,0,-976631,371298431] 1
54208k (1 curve)	0	2+ 7+ 11-	2+  1 -2 7+ 11-  7  0 -1
Curve Equation t 54208k1 [0,1,0,23071,51071] 1
54208l (3 curves)	0	2+ 7+ 11-	2+ -1 -3 7+ 11- -4  6  2
Curve Equation t 54208l1 [0,-1,0,-43237,-3446089] 1 54208l2 [0,-1,0,-23877,-6558209] 1 54208l3 [0,-1,0,213283,169888831] 1
54208m (6 curves)	0	2+ 7+ 11-	2+  2  0 7+ 11- -4 -6  2
Curve Equation t 54208m1 [0,-1,0,-4033,-198207] 2 54208m2 [0,-1,0,-81473,-8917951] 2 54208m3 [0,-1,0,34687,4161665] 2 54208m4 [0,-1,0,-275073,45607553] 2 54208m5 [0,-1,0,-1320513,586192961] 2 54208m6 [0,-1,0,-21145153,37432268865] 2
54208n (1 curve)	0	2+ 7+ 11-	2+  2  1 7+ 11-  5 -3  0
Curve Equation t 54208n1 [0,-1,0,-40,354] 1
54208o (2 curves)	0	2+ 7+ 11-	2+  2 -2 7+ 11-  4  0 -4
Curve Equation t 54208o1 [0,-1,0,-5969,299345] 2 54208o2 [0,-1,0,-112449,14546369] 2
54208p (2 curves)	0	2+ 7+ 11-	2+  2 -3 7+ 11- -1  3  8
Curve Equation t 54208p1 [0,-1,0,-337,-2319] 1 54208p2 [0,-1,0,1423,-11119] 1
54208q (1 curve)	0	2+ 7+ 11-	2+ -2  1 7+ 11- -5  3  0
Curve Equation t 54208q1 [0,1,0,-4880,451702] 1
54208r (2 curves)	0	2+ 7+ 11-	2+ -2  2 7+ 11-  4  0  0
Curve Equation t 54208r1 [0,1,0,-1492,-19230] 2 54208r2 [0,1,0,2743,-104777] 2
54208s (2 curves)	0	2+ 7+ 11-	2+ -2 -2 7+ 11-  0 -4  4
Curve Equation t 54208s1 [0,1,0,1852591,-1028234033] 2 54208s2 [0,1,0,-11031489,-9895057889] 2
54208t (2 curves)	0	2+ 7+ 11-	2+ -2  4 7+ 11-  0  2 -2
Curve Equation t 54208t1 [0,1,0,-161,43327] 2 54208t2 [0,1,0,-19521,1030687] 2
54208u (1 curve)	0	2+ 7+ 11-	2+ -3 -2 7+ 11- -5  8  3
Curve Equation t 54208u1 [0,0,0,-67276,11025520] 1
54208v (1 curve)	0	2+ 7- 11+	2+  1 -3 7- 11+  2  6  0
Curve Equation t 54208v1 [0,1,0,-887,130931] 1
54208w (1 curve)	0	2+ 7- 11+	2+ -1 -1 7- 11+  0  0  8
Curve Equation t 54208w1 [0,-1,0,965419,-618566771] 1
54208x (1 curve)	2	2+ 7- 11+	2+ -1 -3 7- 11+ -2 -6  0
Curve Equation t Generators 54208x1 [0,-1,0,-7,101] 1 [-4:7:1]&[4:11:1]
54208y (2 curves)	0	2+ 7- 11+	2+  2  2 7- 11+  6  6 -4
Curve Equation t 54208y1 [0,-1,0,-117,-427] 2 54208y2 [0,-1,0,-337,1905] 2
54208z (1 curve)	0	2+ 7- 11+	2+  3  3 7- 11+  4 -4  8
Curve Equation t 54208z1 [0,0,0,-7216,236192] 1
54208ba (2 curves)	1	2+ 7- 11-	2+  0  0 7- 11- -2 -4 -2
Curve Equation t Generators 54208ba1 [0,0,0,-2420,127776] 2 [132:1452:1] 54208ba2 [0,0,0,-55660,5047152] 2 [-66:2904:1]
54208bb (2 curves)	1	2+ 7- 11-	2+  0  0 7- 11- -6  0 -2
Curve Equation t Generators 54208bb1 [0,0,0,41140,-915728] 2 [198:3872:1] 54208bb2 [0,0,0,-171820,-7474896] 2 [-387:1029:1]
54208bc (1 curve)	1	2+ 7- 11-	2+  0  1 7- 11- -1  1  0
Curve Equation t Generators 54208bc1 [0,0,0,-3212,-127248] 1 [542:12544:1]
54208bd (4 curves)	1	2+ 7- 11-	2+  0 -2 7- 11-  2 -2  0
Curve Equation t Generators 54208bd1 [0,0,0,-28556,61098224] 2 [9284:894432:1] 54208bd2 [0,0,0,-2506636,1511270640] 4 [403336:-2585289:512] 54208bd3 [0,0,0,-4674956,-1494020880] 2 [-55223819496:-1973956489365:40707584] 54208bd4 [0,0,0,-39987596,97327596784] 2 [3204:45808:1]
54208be (4 curves)	1	2+ 7- 11-	2+  0 -2 7- 11-  2  6  8
Curve Equation t Generators 54208be1 [0,0,0,484,-21296] 2 [814:23232:1] 54208be2 [0,0,0,-9196,-319440] 4 [22044:625328:27] 54208be3 [0,0,0,-28556,1469424] 2 [20:952:1] 54208be4 [0,0,0,-144716,-21189520] 2 [-96377044:-4028235:438976]
54208bf (2 curves)	1	2+ 7- 11-	2+  0  4 7- 11-  2  4 -6
Curve Equation t Generators 54208bf1 [0,0,0,-226028,-42059600] 2 [103575438813000:1564789662933860:155981516887] 54208bf2 [0,0,0,-3633388,-2665726800] 2 [52254517941605054670447160:-4058734168000910688421314084:7868944235757712081625]
54208bg (1 curve)	1	2+ 7- 11-	2+  1  1 7- 11- -4  6 -2
Curve Equation t Generators 54208bg1 [0,1,0,-10325,-449869] 1 [9380:70301:64]
54208bh (1 curve)	1	2+ 7- 11-	2+  1 -2 7- 11- -7  0  1
Curve Equation t Generators 54208bh1 [0,1,0,191,31] 1 [27:160:1]
54208bi (1 curve)	1	2+ 7- 11-	2+ -1 -1 7- 11- -2  0 -6
Curve Equation t Generators 54208bi1 [0,-1,0,-976631,-371298431] 1 [29754:1742279:8]
54208bj (1 curve)	1	2+ 7- 11-	2+  2  1 7- 11- -5  3  0
Curve Equation t Generators 54208bj1 [0,-1,0,-4880,-451702] 1 [487700973871:7011496342452:2062933417]
54208bk (2 curves)	1	2+ 7- 11-	2+  2  2 7- 11-  4  0  0
Curve Equation t Generators 54208bk1 [0,-1,0,-1492,19230] 2 [22749009:-289948670:132651] 54208bk2 [0,-1,0,2743,104777] 2 [18291:477224:27]
54208bl (2 curves)	1	2+ 7- 11-	2+  2 -3 7- 11-  1 -3 -8
Curve Equation t Generators 54208bl1 [0,-1,0,-40817,3249809] 1 [115:252:1] 54208bl2 [0,-1,0,172143,14110769] 1 [323:10164:1]
54208bm (1 curve)	1	2+ 7- 11-	2+ -2  1 7- 11-  5 -3  0
Curve Equation t Generators 54208bm1 [0,1,0,-40,-354] 1 [29:154:1]
54208bn (2 curves)	1	2+ 7- 11-	2+ -2  2 7- 11-  4 -4  0
Curve Equation t Generators 54208bn1 [0,1,0,26943,-6450017] 2 [2317:111804:1] 54208bn2 [0,1,0,-398977,-89674785] 2 [-342:2625:1]
54208bo (2 curves)	1	2+ 7- 11-	2+ -2 -2 7- 11- -4  0  4
Curve Equation t Generators 54208bo1 [0,1,0,-112449,14969887] 2 [-147:5324:1] 54208bo2 [0,1,0,-1816129,941431071] 2 [770:371:1]
54208bp (1 curve)	1	2+ 7- 11-	2+  3  1 7- 11- -4 -2 -6
Curve Equation t Generators 54208bp1 [0,0,0,968,-2662] 1 [93:721:27]
54208bq (1 curve)	1	2+ 7- 11-	2+ -3 -2 7- 11-  5 -8 -3
Curve Equation t Generators 54208bq1 [0,0,0,-8140396,-14674967120] 1 [3974:125440:1]
54208br (1 curve)	0	2- 7+ 11+	2-  1 -1 7+ 11+  0  0 -8
Curve Equation t 54208br1 [0,1,0,965419,618566771] 1
54208bs (2 curves)	0	2- 7+ 11+	2- -2  2 7+ 11+  6  6  4
Curve Equation t 54208bs1 [0,1,0,-117,427] 2 54208bs2 [0,1,0,-337,-1905] 2
54208bt (1 curve)	0	2- 7+ 11+	2- -3  3 7+ 11+  4 -4 -8
Curve Equation t 54208bt1 [0,0,0,-7216,-236192] 1
54208bu (2 curves)	1	2- 7+ 11-	2-  0  0 7+ 11- -6  0  2
Curve Equation t Generators 54208bu1 [0,0,0,41140,915728] 2 [122:2784:1] 54208bu2 [0,0,0,-171820,7474896] 2 [-198:5808:1]
54208bv (1 curve)	1	2- 7+ 11-	2-  0  1 7+ 11- -1  1  0
Curve Equation t Generators 54208bv1 [0,0,0,-3212,127248] 1 [-52:392:1]
54208bw (4 curves)	1	2- 7+ 11-	2-  0 -2 7+ 11-  2 -2  0
Curve Equation t Generators 54208bw1 [0,0,0,-28556,-61098224] 2 [1114905:105270121:125] 54208bw2 [0,0,0,-2506636,-1511270640] 4 [-8666912982891790:-33429613311198720:9156875689961] 54208bw3 [0,0,0,-4674956,1494020880] 2 [7787538:788734144:729] 54208bw4 [0,0,0,-39987596,-97327596784] 2 [-6157559841808901268334048:-152641436487486979393620:1686879722016496629649]
54208bx (4 curves)	1	2- 7+ 11-	2-  0 -2 7+ 11-  2  6 -8
Curve Equation t Generators 54208bx1 [0,0,0,484,21296] 2 [-11:121:1] 54208bx2 [0,0,0,-9196,319440] 4 [16:420:1] 54208bx3 [0,0,0,-28556,-1469424] 2 [5511:29645:27] 54208bx4 [0,0,0,-144716,21189520] 2 [418:5808:1]
54208by (2 curves)	1	2- 7+ 11-	2-  0  4 7+ 11-  2  4  6
Curve Equation t Generators 54208by1 [0,0,0,-226028,42059600] 2 [34930:105984:125] 54208by2 [0,0,0,-3633388,2665726800] 2 [1050:2880:1]
54208bz (1 curve)	1	2- 7+ 11-	2-  1  2 7+ 11- -5  0 -7
Curve Equation t Generators 54208bz1 [0,1,0,-4737,123935] 1 [43:40:1]
54208ca (1 curve)	1	2- 7+ 11-	2- -1  1 7+ 11- -4  6  2
Curve Equation t Generators 54208ca1 [0,-1,0,-10325,449869] 1 [-84:847:1]
54208cb (1 curve)	1	2- 7+ 11-	2- -1  2 7+ 11-  5  0 -7
Curve Equation t Generators 54208cb1 [0,-1,0,-573217,167250305] 1 [565:4840:1]
54208cc (1 curve)	1	2- 7+ 11-	2- -1 -2 7+ 11- -7  0 -1
Curve Equation t Generators 54208cc1 [0,-1,0,191,-31] 1 [5:32:1]
54208cd (1 curve)	1	2- 7+ 11-	2- -1  3 7+ 11-  6  0 -6
Curve Equation t Generators 54208cd1 [0,-1,0,-2339,-93179] 1 [180:2299:1]
54208ce (2 curves)	1	2- 7+ 11-	2-  2  0 7+ 11-  0  6  6
Curve Equation t Generators 54208ce1 [0,-1,0,-37913,3142361] 2 [11752:1273767:1] 54208ce2 [0,-1,0,-623553,189727265] 2 [317568:34363637:27]
54208cf (2 curves)	1	2- 7+ 11-	2-  2  2 7+ 11-  4 -4  0
Curve Equation t Generators 54208cf1 [0,-1,0,26943,6450017] 2 [-122565:7859008:3375] 54208cf2 [0,-1,0,-398977,89674785] 2 [-10617:367840:27]
54208cg (2 curves)	1	2- 7+ 11-	2-  2 -2 7+ 11- -4  0 -4
Curve Equation t Generators 54208cg1 [0,-1,0,-112449,-14969887] 2 [107343945:-3512524544:91125] 54208cg2 [0,-1,0,-1816129,-941431071] 2 [-566883:-25280:729]
54208ch (2 curves)	1	2- 7+ 11-	2- -2  0 7+ 11- -4  2  6
Curve Equation t Generators 54208ch1 [0,1,0,807,-6041] 2 [18:121:1] 54208ch2 [0,1,0,-4033,-57345] 2 [-43:196:1]
54208ci (2 curves)	1	2- 7+ 11-	2- -2 -3 7+ 11-  1 -3  8
Curve Equation t Generators 54208ci1 [0,1,0,-40817,-3249809] 1 [403:-6776:1] 54208ci2 [0,1,0,172143,-14110769] 1 [307:8232:1]
54208cj (2 curves)	1	2- 7+ 11-	2- -2 -4 7+ 11-  4  6  2
Curve Equation t Generators 54208cj1 [0,1,0,16295,-9143961] 2 [722:19481:1] 54208cj2 [0,1,0,-569345,-159653441] 2 [322182:3988039:343]
54208ck (1 curve)	1	2- 7+ 11-	2-  3 -2 7+ 11-  5 -8  3
Curve Equation t Generators 54208ck1 [0,0,0,-8140396,14674967120] 1 [842071410714114:358253857637729792:3197963970837]
54208cl (1 curve)	1	2- 7+ 11-	2- -3  1 7+ 11- -4 -2  6
Curve Equation t Generators 54208cl1 [0,0,0,968,2662] 1 [11:121:1]
54208cm (1 curve)	1	2- 7- 11+	2-  1 -1 7- 11+  0  0  8
Curve Equation t Generators 54208cm1 [0,1,0,7979,-461837] 1 [474:3773:8]
54208cn (2 curves)	1	2- 7- 11+	2- -2  2 7- 11+ -6 -6 -4
Curve Equation t Generators 54208cn1 [0,1,0,-14197,-625077] 2 [-56990:46501:1000] 54208cn2 [0,1,0,-40817,2372335] 2 [-14:1715:1]
54208co (1 curve)	1	2- 7- 11+	2- -3  3 7- 11+ -4  4  8
Curve Equation t Generators 54208co1 [0,0,0,-873136,314371552] 1 [4114:9317:8]
54208cp (1 curve)	0	2- 7- 11-	2-  0  1 7- 11-  1 -1  0
Curve Equation t 54208cp1 [0,0,0,-388652,-169367088] 1
54208cq (4 curves)	0	2- 7- 11-	2-  0  2 7- 11-  2  2  4
Curve Equation t 54208cq1 [0,0,0,-12584,-543048] 2 54208cq2 [0,0,0,-15004,-319440] 4 54208cq3 [0,0,0,52756,-2406448] 2 54208cq4 [0,0,0,-121484,16078480] 2
54208cr (1 curve)	0	2- 7- 11-	2-  1  2 7- 11-  5  0  7
Curve Equation t 54208cr1 [0,1,0,-573217,-167250305] 1
54208cs (1 curve)	0	2- 7- 11-	2-  1  3 7- 11-  6  0  6
Curve Equation t 54208cs1 [0,1,0,-2339,93179] 1
54208ct (3 curves)	2	2- 7- 11-	2-  1 -3 7- 11- -4  6 -2
Curve Equation t Generators 54208ct1 [0,1,0,-43237,3446089] 1 [120:7:1]&[216:2057:1] 54208ct2 [0,1,0,-23877,6558209] 1 [1624:-65219:1]&[-56:2779:1] 54208ct3 [0,1,0,213283,-169888831] 1 [12432:138061:27]&[43320:1771561:27]
54208cu (1 curve)	0	2- 7- 11-	2- -1  1 7- 11-  0  2  2
Curve Equation t 54208cu1 [0,-1,0,-645,2093533] 1
54208cv (1 curve)	0	2- 7- 11-	2- -1  2 7- 11- -5  0  7
Curve Equation t 54208cv1 [0,-1,0,-4737,-123935] 1
54208cw (1 curve)	0	2- 7- 11-	2- -1 -2 7- 11-  7  0  1
Curve Equation t 54208cw1 [0,-1,0,23071,-51071] 1
54208cx (2 curves)	0	2- 7- 11-	2-  2  0 7- 11- -4  2 -6
Curve Equation t 54208cx1 [0,-1,0,807,6041] 2 54208cx2 [0,-1,0,-4033,57345] 2
54208cy (2 curves)	0	2- 7- 11-	2-  2 -2 7- 11-  0 -4 -4
Curve Equation t 54208cy1 [0,-1,0,1852591,1028234033] 2 54208cy2 [0,-1,0,-11031489,9895057889] 2
54208cz (2 curves)	0	2- 7- 11-	2-  2  4 7- 11-  0  2  2
Curve Equation t 54208cz1 [0,-1,0,-161,-43327] 2 54208cz2 [0,-1,0,-19521,-1030687] 2
54208da (2 curves)	0	2- 7- 11-	2-  2 -4 7- 11-  4  6 -2
Curve Equation t 54208da1 [0,-1,0,16295,9143961] 2 54208da2 [0,-1,0,-569345,159653441] 2
54208db (2 curves)	0	2- 7- 11-	2- -2  0 7- 11-  0  6 -6
Curve Equation t 54208db1 [0,1,0,-37913,-3142361] 2 54208db2 [0,1,0,-623553,-189727265] 2
54208dc (6 curves)	2	2- 7- 11-	2- -2  0 7- 11- -4 -6 -2
Curve Equation t Generators 54208dc1 [0,1,0,-4033,198207] 2 [-59:484:1]&[-17:512:1] 54208dc2 [0,1,0,-81473,8917951] 2 [-91:3948:1]&[-81:3872:1] 54208dc3 [0,1,0,34687,-4161665] 2 [106:847:1]&[337:6776:1] 54208dc4 [0,1,0,-275073,-45607553] 2 [-366:2485:1]&[-289:3136:1] 54208dc5 [0,1,0,-1320513,-586192961] 2 [2218:86031:1]&[3505:194568:1] 54208dc6 [0,1,0,-21145153,-37432268865] 2 [12591:1300992:1]&[4860954:-250512713:729]
54208dd (2 curves)	0	2- 7- 11-	2- -2 -2 7- 11-  4  0  4
Curve Equation t 54208dd1 [0,1,0,-5969,-299345] 2 54208dd2 [0,1,0,-112449,-14546369] 2
54208de (2 curves)	2	2- 7- 11-	2- -2 -3 7- 11- -1  3 -8
Curve Equation t Generators 54208de1 [0,1,0,-337,2319] 1 [5:28:1]&[11:8:1] 54208de2 [0,1,0,1423,11119] 1 [43:392:1]&[1:112:1]
54208df (1 curve)	0	2- 7- 11-	2-  3 -2 7- 11- -5  8 -3
Curve Equation t 54208df1 [0,0,0,-67276,-11025520] 1

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