Cremona's table of elliptic curves

82368 = 2⁶ · 3² · 11 · 13

Class	r	Atkin-Lehner	Eigenvalues
82368a (2 curves)	1	2+ 3+ 11+ 13+	2+ 3+  0 -2 11+ 13+  2  6
Curve Equation t Generators 82368a1 [0,0,0,-8460,286192] 2 [8:468:1] 82368a2 [0,0,0,-23820,-1047056] 2 [173:99:1]
82368b (2 curves)	1	2+ 3+ 11+ 13+	2+ 3+  2  0 11+ 13+  6  0
Curve Equation t Generators 82368b1 [0,0,0,-5184,-143640] 2 [390:7560:1] 82368b2 [0,0,0,-5724,-111888] 2 [-59:143:1]
82368c (2 curves)	0	2+ 3+ 11+ 13-	2+ 3+  2 -2 11+ 13-  4 -2
Curve Equation t 82368c1 [0,0,0,2196,322480] 2 82368c2 [0,0,0,-59244,5311408] 2
82368d (2 curves)	0	2+ 3+ 11+ 13-	2+ 3+  2 -2 11+ 13-  4 -6
Curve Equation t 82368d1 [0,0,0,9396,19597680] 2 82368d2 [0,0,0,-1036044,397210608] 2
82368e (2 curves)	0	2+ 3+ 11+ 13-	2+ 3+  2 -2 11+ 13- -4 -2
Curve Equation t 82368e1 [0,0,0,-4239,-105948] 2 82368e2 [0,0,0,-2484,-194400] 2
82368f (2 curves)	0	2+ 3+ 11+ 13-	2+ 3+  2 -2 11+ 13- -8 -2
Curve Equation t 82368f1 [0,0,0,-59969484,-178749506960] 2 82368f2 [0,0,0,-959512524,-11439948916112] 2
82368g (2 curves)	0	2+ 3+ 11+ 13-	2+ 3+ -2  2 11+ 13-  4  2
Curve Equation t 82368g1 [0,0,0,-471,-3924] 2 82368g2 [0,0,0,-276,-7200] 2
82368h (2 curves)	0	2+ 3+ 11+ 13-	2+ 3+  4 -2 11+ 13- -2  2
Curve Equation t 82368h1 [0,0,0,-67068,6685200] 2 82368h2 [0,0,0,-69228,6231600] 2
82368i (2 curves)	0	2+ 3+ 11- 13+	2+ 3+  0 -2 11- 13+ -2  6
Curve Equation t 82368i1 [0,0,0,-76140,-7727184] 2 82368i2 [0,0,0,-214380,28270512] 2
82368j (2 curves)	2	2+ 3+ 11- 13+	2+ 3+ -2  0 11- 13+ -6  0
Curve Equation t Generators 82368j1 [0,0,0,-576,5320] 2 [17:21:1]&[41:225:1] 82368j2 [0,0,0,-636,4144] 2 [-6:88:1]&[5:33:1]
82368k (2 curves)	1	2+ 3+ 11- 13-	2+ 3+  2  2 11- 13- -4  2
Curve Equation t Generators 82368k1 [0,0,0,-4239,105948] 2 [136:1430:1] 82368k2 [0,0,0,-2484,194400] 2 [-50:440:1]
82368l (2 curves)	1	2+ 3+ 11- 13-	2+ 3+ -2 -2 11- 13-  4 -2
Curve Equation t Generators 82368l1 [0,0,0,-471,3924] 2 [16:22:1] 82368l2 [0,0,0,-276,7200] 2 [-2:88:1]
82368m (2 curves)	1	2+ 3+ 11- 13-	2+ 3+ -2 -2 11- 13- -4 -2
Curve Equation t Generators 82368m1 [0,0,0,19764,-8706960] 2 [1394:1331:8] 82368m2 [0,0,0,-533196,-143408016] 2 [-491:143:1]
82368n (2 curves)	1	2+ 3+ 11- 13-	2+ 3+ -2 -2 11- 13- -4 -6
Curve Equation t Generators 82368n1 [0,0,0,1044,-725840] 2 [152:1716:1] 82368n2 [0,0,0,-115116,-14711504] 2 [-211:429:1]
82368o (2 curves)	1	2+ 3+ 11- 13-	2+ 3+ -2 -2 11- 13-  8 -2
Curve Equation t Generators 82368o1 [0,0,0,-539725356,4826236687920] 2 [-4298:2658304:1] 82368o2 [0,0,0,-8635612716,308878620735024] 2 [67576:-5822828:1]
82368p (2 curves)	1	2+ 3+ 11- 13-	2+ 3+ -4 -2 11- 13-  2  2
Curve Equation t Generators 82368p1 [0,0,0,-7452,-247600] 2 [142:1248:1] 82368p2 [0,0,0,-7692,-230800] 2 [-56:156:1]
82368q (4 curves)	0	2+ 3- 11+ 13+	2+ 3-  0  2 11+ 13+ -6 -2
Curve Equation t 82368q1 [0,0,0,-3426240,2404309736] 2 82368q2 [0,0,0,-6969180,-3418866448] 2 82368q3 [0,0,0,-276363840,1768356981128] 2 82368q4 [0,0,0,-276368700,1768291676336] 2
82368r (2 curves)	2	2+ 3- 11+ 13+	2+ 3-  0 -2 11+ 13+  2 -6
Curve Equation t Generators 82368r1 [0,0,0,-19200,-1023032] 2 [-79:27:1]&[-78:4:1] 82368r2 [0,0,0,-24060,-465104] 2 [-136:540:1]&[-78:968:1]
82368s (4 curves)	0	2+ 3- 11+ 13+	2+ 3-  0 -4 11+ 13+  0  4
Curve Equation t 82368s1 [0,0,0,207060,-26076112] 2 82368s2 [0,0,0,-1037100,-231611344] 2 82368s3 [0,0,0,-2151660,1622197424] 2 82368s4 [0,0,0,-37541100,88524506288] 2
82368t (4 curves)	0	2+ 3- 11+ 13+	2+ 3-  2  0 11+ 13+  6  4
Curve Equation t 82368t1 [0,0,0,1041,4228] 2 82368t2 [0,0,0,-4404,34720] 4 82368t3 [0,0,0,-40044,-3058832] 2 82368t4 [0,0,0,-55884,5079760] 2
82368u (2 curves)	0	2+ 3- 11+ 13+	2+ 3-  2  0 11+ 13+ -8 -2
Curve Equation t 82368u1 [0,0,0,213396,-64269520] 2 82368u2 [0,0,0,-1703244,-702893968] 2
82368v (2 curves)	2	2+ 3- 11+ 13+	2+ 3- -2  0 11+ 13+  0  6
Curve Equation t Generators 82368v1 [0,0,0,204,5600] 2 [-11:45:1]&[-2:72:1] 82368v2 [0,0,0,-3756,83216] 2 [-70:56:1]&[-11:351:1]
82368w (6 curves)	0	2+ 3- 11+ 13+	2+ 3- -2  0 11+ 13+  6  4
Curve Equation t 82368w1 [0,0,0,-13836,-898576] 2 82368w2 [0,0,0,-247116,-47274640] 4 82368w3 [0,0,0,-273036,-36751120] 4 82368w4 [0,0,0,-3953676,-3025866256] 2 82368w5 [0,0,0,772404,-250439056] 2 82368w6 [0,0,0,-1733196,850442096] 2
82368x (2 curves)	0	2+ 3- 11+ 13+	2+ 3-  3 -1 11+ 13+ -6 -8
Curve Equation t 82368x1 [0,0,0,-3756,-591568] 1 82368x2 [0,0,0,33684,15657392] 1
82368y (1 curve)	0	2+ 3- 11+ 13+	2+ 3- -3  1 11+ 13+  8  6
Curve Equation t 82368y1 [0,0,0,-329484,-1643998736] 1
82368z (2 curves)	0	2+ 3- 11+ 13+	2+ 3- -3  5 11+ 13+  0 -2
Curve Equation t 82368z1 [0,0,0,7476,554096] 1 82368z2 [0,0,0,-355404,81694064] 1
82368ba (1 curve)	2	2+ 3- 11+ 13+	2+ 3- -3 -5 11+ 13+ -7  0
Curve Equation t Generators 82368ba1 [0,0,0,7476,-2374544] 1 [117:319:1]&[174:2048:1]
82368bb (2 curves)	0	2+ 3- 11+ 13+	2+ 3- -4 -4 11+ 13+  4  0
Curve Equation t 82368bb1 [0,0,0,-2487,-41740] 2 82368bb2 [0,0,0,3948,-221920] 2
82368bc (2 curves)	1	2+ 3- 11+ 13-	2+ 3-  0  4 11+ 13- -8 -4
Curve Equation t Generators 82368bc1 [0,0,0,420,53584] 2 [158:2016:1] 82368bc2 [0,0,0,-19020,978928] 2 [-88:1404:1]
82368bd (1 curve)	1	2+ 3- 11+ 13-	2+ 3-  1 -4 11+ 13-  4  2
Curve Equation t Generators 82368bd1 [0,0,0,558,-2862] 1 [49:377:1]
82368be (1 curve)	1	2+ 3- 11+ 13-	2+ 3- -1  1 11+ 13-  1  4
Curve Equation t Generators 82368be1 [0,0,0,-19308,-1035344] 1 [36945:545963:125]
82368bf (1 curve)	1	2+ 3- 11+ 13-	2+ 3- -1  1 11+ 13- -2  4
Curve Equation t Generators 82368bf1 [0,0,0,-38028,3944176] 1 [8:1908:1]
82368bg (1 curve)	1	2+ 3- 11+ 13-	2+ 3- -1 -2 11+ 13-  4 -2
Curve Equation t Generators 82368bg1 [0,0,0,-48,466] 1 [-9:13:1]
82368bh (4 curves)	1	2+ 3- 11+ 13-	2+ 3-  2  4 11+ 13- -2  4
Curve Equation t Generators 82368bh1 [0,0,0,-614604,-185210768] 2 [338506221526:-9623946608640:248858189] 82368bh2 [0,0,0,-798924,-64960400] 4 [-80724:3597880:343] 82368bh3 [0,0,0,3094836,-511964048] 2 [8161258476:603062465720:1685159] 82368bh4 [0,0,0,-7641804,8078066800] 2 [-2200:119340:1]
82368bi (2 curves)	1	2+ 3- 11+ 13-	2+ 3- -2  4 11+ 13- -4  6
Curve Equation t Generators 82368bi1 [0,0,0,-31476,-2257760] 2 [947870:-49722840:343] 82368bi2 [0,0,0,-510636,-140447504] 2 [11054:1159704:1]
82368bj (1 curve)	1	2+ 3- 11+ 13-	2+ 3-  3  1 11+ 13- -2 -4
Curve Equation t Generators 82368bj1 [0,0,0,-5196,-144272] 1 [18152:2445588:1]
82368bk (1 curve)	1	2+ 3- 11+ 13-	2+ 3-  3  1 11+ 13-  5  0
Curve Equation t Generators 82368bk1 [0,0,0,-5196,188368] 1 [-48:572:1]
82368bl (1 curve)	1	2+ 3- 11+ 13-	2+ 3- -3  3 11+ 13-  4 -6
Curve Equation t Generators 82368bl1 [0,0,0,6036,43184] 1 [22:432:1]
82368bm (2 curves)	1	2+ 3- 11- 13+	2+ 3-  0  0 11- 13+  4  8
Curve Equation t Generators 82368bm1 [0,0,0,1140,-18704] 2 [782:21888:1] 82368bm2 [0,0,0,-7500,-188048] 2 [-67:117:1]
82368bn (2 curves)	1	2+ 3- 11- 13+	2+ 3-  1  3 11- 13+ -3  0
Curve Equation t Generators 82368bn1 [0,0,0,161268,-3822608] 1 [6474:188288:27] 82368bn2 [0,0,0,-16087692,24842409712] 1 [56874:468512:27]
82368bo (1 curve)	1	2+ 3- 11- 13+	2+ 3-  1 -3 11- 13+  6  0
Curve Equation t Generators 82368bo1 [0,0,0,-12,11248] 1 [8:108:1]
82368bp (1 curve)	1	2+ 3- 11- 13+	2+ 3- -1 -2 11- 13+  0  6
Curve Equation t Generators 82368bp1 [0,0,0,-8688,-311776] 1 [1622719:11554517:12167]
82368bq (1 curve)	1	2+ 3- 11- 13+	2+ 3- -1  3 11- 13+  0  6
Curve Equation t Generators 82368bq1 [0,0,0,-174828,33275824] 1 [182:2736:1]
82368br (4 curves)	1	2+ 3- 11- 13+	2+ 3-  2  0 11- 13+  6 -4
Curve Equation t Generators 82368br1 [0,0,0,1041,-4228] 2 [820:6712:125] 82368br2 [0,0,0,-4404,-34720] 4 [-58:160:1] 82368br3 [0,0,0,-40044,3058832] 2 [-214:1352:1] 82368br4 [0,0,0,-55884,-5079760] 2 [-8860:3805:64]
82368bs (4 curves)	1	2+ 3- 11- 13+	2+ 3-  2  4 11- 13+  6  0
Curve Equation t Generators 82368bs1 [0,0,0,-27624,-1295512] 2 [-3676:20405:64] 82368bs2 [0,0,0,-158844,23321360] 4 [92:3080:1] 82368bs3 [0,0,0,93876,90544880] 2 [1270:47520:1] 82368bs4 [0,0,0,-2511084,1531577648] 2 [3045854:29028285:2744]
82368bt (2 curves)	1	2+ 3- 11- 13+	2+ 3- -2  0 11- 13+  0 -6
Curve Equation t Generators 82368bt1 [0,0,0,204,-5600] 2 [36:220:1] 82368bt2 [0,0,0,-3756,-83216] 2 [-34:72:1]
82368bu (6 curves)	1	2+ 3- 11- 13+	2+ 3- -2  0 11- 13+ -2 -4
Curve Equation t Generators 82368bu1 [0,0,0,-169896,-26953976] 2 [2066:91872:1] 82368bu2 [0,0,0,-170076,-26894000] 4 [-228:176:1] 82368bu3 [0,0,0,-85836,-53547536] 2 [8196:741488:1] 82368bu4 [0,0,0,-257196,3598000] 4 [564:6160:1] 82368bu5 [0,0,0,1025844,28745584] 2 [12180:1423184:125] 82368bu6 [0,0,0,-2934156,1929938416] 2 [734:13104:1]
82368bv (4 curves)	1	2+ 3- 11- 13+	2+ 3- -2  0 11- 13+ -6  0
Curve Equation t Generators 82368bv1 [0,0,0,-88716,-11824400] 2 [2132:97416:1] 82368bv2 [0,0,0,-1482636,-694845200] 4 [61788:2399320:27] 82368bv3 [0,0,0,-1545996,-632220176] 2 [-71930:1022112:125] 82368bv4 [0,0,0,-23721996,-44470801424] 2 [-66475323314330:3465108261:23639903000]
82368bw (2 curves)	1	2+ 3- 11- 13+	2+ 3- -2 -2 11- 13+  0 -2
Curve Equation t Generators 82368bw1 [0,0,0,-3936,-3920920] 2 [842:24284:1] 82368bw2 [0,0,0,-397596,-95407504] 2 [-350:936:1]
82368bx (2 curves)	1	2+ 3- 11- 13+	2+ 3- -2  4 11- 13+  0 -2
Curve Equation t Generators 82368bx1 [0,0,0,-3756,127280] 2 [-8:396:1] 82368bx2 [0,0,0,-67116,6691376] 2 [109:819:1]
82368by (2 curves)	1	2+ 3- 11- 13+	2+ 3-  3 -1 11- 13+  0 -2
Curve Equation t Generators 82368by1 [0,0,0,-59896236,-178421720272] 1 [28477296106:2651727108096:2048383] 82368by2 [0,0,0,-46495596,-260358935632] 1 [39509558131268294390563791950:3748110675419655111434513154048:2872245603986062347078125]
82368bz (2 curves)	1	2+ 3- 11- 13+	2+ 3-  3  2 11- 13+  0 -2
Curve Equation t Generators 82368bz1 [0,0,0,3264,32672] 1 [353:6721:1] 82368bz2 [0,0,0,-60096,5798432] 1 [16425115:267750587:42875]
82368ca (2 curves)	1	2+ 3- 11- 13+	2+ 3-  4  0 11- 13+  0  0
Curve Equation t Generators 82368ca1 [0,0,0,-1325388,589870960] 2 [1489610:43828209:1000] 82368ca2 [0,0,0,-21231948,37655885680] 2 [5960:350460:1]
82368cb (2 curves)	1	2+ 3- 11- 13+	2+ 3- -4  4 11- 13+  4  0
Curve Equation t Generators 82368cb1 [0,0,0,-2487,41740] 2 [152:1782:1] 82368cb2 [0,0,0,3948,221920] 2 [8:504:1]
82368cc (2 curves)	0	2+ 3- 11- 13-	2+ 3-  0  0 11- 13-  4  0
Curve Equation t 82368cc1 [0,0,0,102660,46128656] 2 82368cc2 [0,0,0,-1471980,632524592] 2
82368cd (1 curve)	0	2+ 3- 11- 13-	2+ 3-  1  4 11- 13-  4 -2
Curve Equation t 82368cd1 [0,0,0,558,2862] 1
82368ce (2 curves)	0	2+ 3- 11- 13-	2+ 3- -1  1 11- 13- -4 -6
Curve Equation t 82368ce1 [0,0,0,-3326054988,-73910076508816] 1 82368ce2 [0,0,0,9419379252,4638565439867504] 1
82368cf (1 curve)	0	2+ 3- 11- 13-	2+ 3- -1 -2 11- 13- -4  2
Curve Equation t 82368cf1 [0,0,0,-103728,-16012384] 1
82368cg (1 curve)	0	2+ 3- 11- 13-	2+ 3- -1 -3 11- 13-  4  2
Curve Equation t 82368cg1 [0,0,0,-26508,-1746704] 1
82368ch (4 curves)	0	2+ 3- 11- 13-	2+ 3-  2  0 11- 13- -2 -4
Curve Equation t 82368ch1 [0,0,0,3156,1525552] 2 82368ch2 [0,0,0,-181164,28878640] 4 82368ch3 [0,0,0,-434604,-69760208] 2 82368ch4 [0,0,0,-2876844,1878115120] 2
82368ci (2 curves)	0	2+ 3- 11- 13-	2+ 3-  2  4 11- 13- -4  2
Curve Equation t 82368ci1 [0,0,0,3156,6320] 2 82368ci2 [0,0,0,-12684,50672] 2
82368cj (2 curves)	0	2+ 3- 11- 13-	2+ 3-  2  4 11- 13-  8  6
Curve Equation t 82368cj1 [0,0,0,-191244,82561520] 2 82368cj2 [0,0,0,-4246284,3363899888] 2
82368ck (4 curves)	0	2+ 3- 11- 13-	2+ 3- -2  0 11- 13-  2  4
Curve Equation t 82368ck1 [0,0,0,1284,2576] 2 82368ck2 [0,0,0,-5196,20720] 4 82368ck3 [0,0,0,-52716,-4636240] 2 82368ck4 [0,0,0,-61356,5838896] 4
82368cl (2 curves)	2	2+ 3- 11- 13-	2+ 3- -2 -4 11- 13- -4 -6
Curve Equation t Generators 82368cl1 [0,0,0,-31476,2257760] 2 [157:1089:1]&[-140:1980:1] 82368cl2 [0,0,0,-510636,140447504] 2 [-646:14168:1]&[256:-5148:1]
82368cm (1 curve)	0	2+ 3- 11- 13-	2+ 3-  3 -1 11- 13-  5  0
Curve Equation t 82368cm1 [0,0,0,-5196,-188368] 1
82368cn (1 curve)	0	2+ 3- 11- 13-	2+ 3-  3 -3 11- 13-  5 -4
Curve Equation t 82368cn1 [0,0,0,1044,-13392] 1
82368co (2 curves)	0	2+ 3- 11- 13-	2+ 3-  4 -4 11- 13- -4  4
Curve Equation t 82368co1 [0,0,0,-588,95600] 2 82368co2 [0,0,0,-35148,2514800] 2
82368cp (2 curves)	0	2- 3+ 11+ 13+	2- 3+  0  2 11+ 13+ -2 -6
Curve Equation t 82368cp1 [0,0,0,-76140,7727184] 2 82368cp2 [0,0,0,-214380,-28270512] 2
82368cq (2 curves)	0	2- 3+ 11+ 13+	2- 3+  2  2 11+ 13+ -6 -4
Curve Equation t 82368cq1 [0,0,0,-324,-17280] 2 82368cq2 [0,0,0,-12204,-516240] 2
82368cr (2 curves)	2	2- 3+ 11+ 13+	2- 3+ -2  0 11+ 13+ -6  0
Curve Equation t Generators 82368cr1 [0,0,0,-576,-5320] 2 [34:120:1]&[178:2352:1] 82368cr2 [0,0,0,-636,-4144] 2 [-20:24:1]&[-16:44:1]
82368cs (2 curves)	2	2- 3+ 11+ 13+	2- 3+ -2 -2 11+ 13+  6  4
Curve Equation t Generators 82368cs1 [0,0,0,-36,-640] 2 [13:33:1]&[14:40:1] 82368cs2 [0,0,0,-1356,-19120] 2 [-22:8:1]&[44:80:1]
82368ct (2 curves)	1	2- 3+ 11+ 13-	2- 3+  0  4 11+ 13-  4  4
Curve Equation t Generators 82368ct1 [0,0,0,-4995,106056] 2 [-10668:164970:343] 82368ct2 [0,0,0,11340,654912] 2 [277:5005:1]
82368cu (2 curves)	1	2- 3+ 11+ 13-	2- 3+  0 -4 11+ 13- -4 -4
Curve Equation t Generators 82368cu1 [0,0,0,-555,3928] 2 [-4:78:1] 82368cu2 [0,0,0,1260,24256] 2 [-3:143:1]
82368cv (2 curves)	1	2- 3+ 11+ 13-	2- 3+ -2  2 11+ 13- -4  2
Curve Equation t Generators 82368cv1 [0,0,0,19764,8706960] 2 [501:12015:1] 82368cv2 [0,0,0,-533196,143408016] 2 [-302:16640:1]
82368cw (2 curves)	1	2- 3+ 11+ 13-	2- 3+ -2  2 11+ 13- -4  6
Curve Equation t Generators 82368cw1 [0,0,0,1044,725840] 2 [-22:832:1] 82368cw2 [0,0,0,-115116,14711504] 2 [-166:5408:1]
82368cx (2 curves)	1	2- 3+ 11+ 13-	2- 3+ -2  2 11+ 13-  8  2
Curve Equation t Generators 82368cx1 [0,0,0,-539725356,-4826236687920] 2 [1217847340316856315779652802020985168808012154189491318503575641821606:519058305849346913971638360231129184247307341787035299317936063739523072:6593008062691126792931194710182984952362207298110526874332827863] 82368cx2 [0,0,0,-8635612716,-308878620735024] 2 [308038172363665695124814226109410966:262577690733630829381195505870512048896:416903268970582627641051479471]
82368cy (2 curves)	1	2- 3+ 11+ 13-	2- 3+ -4  2 11+ 13-  2 -2
Curve Equation t Generators 82368cy1 [0,0,0,-7452,247600] 2 [53:39:1] 82368cy2 [0,0,0,-7692,230800] 2 [-22:624:1]
82368cz (2 curves)	1	2- 3+ 11- 13+	2- 3+  0  2 11- 13+  2 -6
Curve Equation t Generators 82368cz1 [0,0,0,-8460,-286192] 2 [-59:87:1] 82368cz2 [0,0,0,-23820,1047056] 2 [130:384:1]
82368da (2 curves)	1	2- 3+ 11- 13+	2- 3+  2  0 11- 13+  6  0
Curve Equation t Generators 82368da1 [0,0,0,-5184,143640] 2 [3172:5885:64] 82368da2 [0,0,0,-5724,111888] 2 [124:1144:1]
82368db (2 curves)	1	2- 3+ 11- 13+	2- 3+  2 -2 11- 13+ -6  4
Curve Equation t Generators 82368db1 [0,0,0,-324,17280] 2 [-3:135:1] 82368db2 [0,0,0,-12204,516240] 2 [85:305:1]
82368dc (2 curves)	1	2- 3+ 11- 13+	2- 3+ -2  2 11- 13+  6 -4
Curve Equation t Generators 82368dc1 [0,0,0,-36,640] 2 [2:24:1] 82368dc2 [0,0,0,-1356,19120] 2 [-19:195:1]
82368dd (2 curves)	0	2- 3+ 11- 13-	2- 3+  0  4 11- 13- -4  4
Curve Equation t 82368dd1 [0,0,0,-555,-3928] 2 82368dd2 [0,0,0,1260,-24256] 2
82368de (2 curves)	0	2- 3+ 11- 13-	2- 3+  0 -4 11- 13-  4 -4
Curve Equation t 82368de1 [0,0,0,-4995,-106056] 2 82368de2 [0,0,0,11340,-654912] 2
82368df (2 curves)	0	2- 3+ 11- 13-	2- 3+  2  2 11- 13-  4  2
Curve Equation t 82368df1 [0,0,0,2196,-322480] 2 82368df2 [0,0,0,-59244,-5311408] 2
82368dg (2 curves)	0	2- 3+ 11- 13-	2- 3+  2  2 11- 13-  4  6
Curve Equation t 82368dg1 [0,0,0,9396,-19597680] 2 82368dg2 [0,0,0,-1036044,-397210608] 2
82368dh (2 curves)	0	2- 3+ 11- 13-	2- 3+  2  2 11- 13- -8  2
Curve Equation t 82368dh1 [0,0,0,-59969484,178749506960] 2 82368dh2 [0,0,0,-959512524,11439948916112] 2
82368di (2 curves)	0	2- 3+ 11- 13-	2- 3+  4  2 11- 13- -2 -2
Curve Equation t 82368di1 [0,0,0,-67068,-6685200] 2 82368di2 [0,0,0,-69228,-6231600] 2
82368dj (2 curves)	1	2- 3- 11+ 13+	2- 3-  0  0 11+ 13+  4 -8
Curve Equation t Generators 82368dj1 [0,0,0,1140,18704] 2 [13:189:1] 82368dj2 [0,0,0,-7500,188048] 2 [2:416:1]
82368dk (1 curve)	1	2- 3- 11+ 13+	2- 3-  1  3 11+ 13+  6  0
Curve Equation t Generators 82368dk1 [0,0,0,-12,-11248] 1 [316:5616:1]
82368dl (2 curves)	1	2- 3- 11+ 13+	2- 3-  1 -3 11+ 13+ -3  0
Curve Equation t Generators 82368dl1 [0,0,0,161268,3822608] 1 [30036:1066384:27] 82368dl2 [0,0,0,-16087692,-24842409712] 1 [409697757537671933257801620:-49136481241388149701074423408:26392138105723877698875]
82368dm (1 curve)	1	2- 3- 11+ 13+	2- 3-  1 -5 11+ 13+ -6  4
Curve Equation t Generators 82368dm1 [0,0,0,11508,7472] 1 [52:864:1]
82368dn (1 curve)	1	2- 3- 11+ 13+	2- 3- -1  2 11+ 13+  0 -6
Curve Equation t Generators 82368dn1 [0,0,0,-8688,311776] 1 [33:247:1]
82368do (1 curve)	1	2- 3- 11+ 13+	2- 3- -1 -3 11+ 13+  0 -6
Curve Equation t Generators 82368do1 [0,0,0,-174828,-33275824] 1 [538:5328:1]
82368dp (4 curves)	1	2- 3- 11+ 13+	2- 3-  2 -4 11+ 13+  6  0
Curve Equation t Generators 82368dp1 [0,0,0,-27624,1295512] 2 [146:612:1] 82368dp2 [0,0,0,-158844,-23321360] 4 [2333:110925:1] 82368dp3 [0,0,0,93876,-90544880] 2 [56410945:2726831025:24389] 82368dp4 [0,0,0,-2511084,-1531577648] 2 [2834:118800:1]
82368dq (6 curves)	1	2- 3- 11+ 13+	2- 3- -2  0 11+ 13+ -2  4
Curve Equation t Generators 82368dq1 [0,0,0,-169896,26953976] 2 [241:81:1] 82368dq2 [0,0,0,-170076,26894000] 4 [-398:5616:1] 82368dq3 [0,0,0,-85836,53547536] 2 [-371:5859:1] 82368dq4 [0,0,0,-257196,-3598000] 4 [6061:470205:1] 82368dq5 [0,0,0,1025844,-28745584] 2 [428544192:-29119081940:2146689] 82368dq6 [0,0,0,-2934156,-1929938416] 2 [-3358560:-7133356:3375]
82368dr (4 curves)	1	2- 3- 11+ 13+	2- 3- -2  0 11+ 13+ -6  0
Curve Equation t Generators 82368dr1 [0,0,0,-88716,11824400] 2 [13:3267:1] 82368dr2 [0,0,0,-1482636,694845200] 4 [544:7020:1] 82368dr3 [0,0,0,-1545996,632220176] 2 [12576:98020:27] 82368dr4 [0,0,0,-23721996,44470801424] 2 [75999:6895:27]
82368ds (2 curves)	1	2- 3- 11+ 13+	2- 3- -2  2 11+ 13+  0  2
Curve Equation t Generators 82368ds1 [0,0,0,-3936,3920920] 2 [-118:1656:1] 82368ds2 [0,0,0,-397596,95407504] 2 [320:972:1]
82368dt (2 curves)	1	2- 3- 11+ 13+	2- 3- -2 -4 11+ 13+  0  2
Curve Equation t Generators 82368dt1 [0,0,0,-3756,-127280] 2 [138:1408:1] 82368dt2 [0,0,0,-67116,-6691376] 2 [-150:32:1]
82368du (2 curves)	1	2- 3- 11+ 13+	2- 3-  3  1 11+ 13+  0  2
Curve Equation t Generators 82368du1 [0,0,0,-59896236,178421720272] 1 [1148294:42596352:343] 82368du2 [0,0,0,-46495596,260358935632] 1 [21362515138048070:1582383601922605056:3578066797375]
82368dv (2 curves)	1	2- 3- 11+ 13+	2- 3-  3 -2 11+ 13+  0  2
Curve Equation t Generators 82368dv1 [0,0,0,3264,-32672] 1 [80031:1257061:343] 82368dv2 [0,0,0,-60096,-5798432] 1 [100957342128577095:705841048657474717:329295191341375]
82368dw (2 curves)	1	2- 3- 11+ 13+	2- 3-  4  0 11+ 13+  0  0
Curve Equation t Generators 82368dw1 [0,0,0,-1325388,-589870960] 2 [23449828361707339412730:159015824448004965515264:17362007792063605125] 82368dw2 [0,0,0,-21231948,-37655885680] 2 [1396591293370:18937135895040:258474853]
82368dx (2 curves)	1	2- 3- 11+ 13+	2- 3-  4 -2 11+ 13+ -6 -2
Curve Equation t Generators 82368dx1 [0,0,0,-5043,108560] 2 [1740:6110:27] 82368dx2 [0,0,0,-75828,8036480] 2 [85:1485:1]
82368dy (2 curves)	0	2- 3- 11+ 13-	2- 3-  0  0 11+ 13-  4  0
Curve Equation t 82368dy1 [0,0,0,102660,-46128656] 2 82368dy2 [0,0,0,-1471980,-632524592] 2
82368dz (1 curve)	0	2- 3- 11+ 13-	2- 3-  1 -1 11+ 13-  0 -2
Curve Equation t 82368dz1 [0,0,0,148308,-117387632] 1
82368ea (2 curves)	0	2- 3- 11+ 13-	2- 3- -1 -1 11+ 13- -4  6
Curve Equation t 82368ea1 [0,0,0,-3326054988,73910076508816] 1 82368ea2 [0,0,0,9419379252,-4638565439867504] 1
82368eb (1 curve)	0	2- 3- 11+ 13-	2- 3- -1 -1 11+ 13-  8  2
Curve Equation t 82368eb1 [0,0,0,-588,-10064] 1
82368ec (1 curve)	0	2- 3- 11+ 13-	2- 3- -1  2 11+ 13- -4 -2
Curve Equation t 82368ec1 [0,0,0,-103728,16012384] 1
82368ed (1 curve)	0	2- 3- 11+ 13-	2- 3- -1  3 11+ 13-  4 -2
Curve Equation t 82368ed1 [0,0,0,-26508,1746704] 1
82368ee (4 curves)	0	2- 3- 11+ 13-	2- 3-  2  0 11+ 13- -2  4
Curve Equation t 82368ee1 [0,0,0,3156,-1525552] 2 82368ee2 [0,0,0,-181164,-28878640] 4 82368ee3 [0,0,0,-434604,69760208] 2 82368ee4 [0,0,0,-2876844,-1878115120] 2
82368ef (4 curves)	0	2- 3- 11+ 13-	2- 3-  2  4 11+ 13-  6 -4
Curve Equation t 82368ef1 [0,0,0,-1719,27432] 2 82368ef2 [0,0,0,-1764,25920] 4 82368ef3 [0,0,0,2196,125712] 2 82368ef4 [0,0,0,-6444,-170640] 2
82368eg (2 curves)	0	2- 3- 11+ 13-	2- 3-  2 -4 11+ 13- -4 -2
Curve Equation t 82368eg1 [0,0,0,3156,-6320] 2 82368eg2 [0,0,0,-12684,-50672] 2
82368eh (2 curves)	0	2- 3- 11+ 13-	2- 3-  2 -4 11+ 13-  8 -6
Curve Equation t 82368eh1 [0,0,0,-191244,-82561520] 2 82368eh2 [0,0,0,-4246284,-3363899888] 2
82368ei (4 curves)	2	2- 3- 11+ 13-	2- 3- -2  0 11+ 13-  2 -4
Curve Equation t Generators 82368ei1 [0,0,0,1284,-2576] 2 [5:63:1]&[29:243:1] 82368ei2 [0,0,0,-5196,-20720] 4 [-54:320:1]&[-43:351:1] 82368ei3 [0,0,0,-52716,4636240] 4 [-198:2704:1]&[-102:2992:1] 82368ei4 [0,0,0,-61356,-5838896] 2 [-139:63:1]&[3821:235683:1]
82368ej (1 curve)	0	2- 3- 11+ 13-	2- 3-  3  3 11+ 13-  5  4
Curve Equation t 82368ej1 [0,0,0,1044,13392] 1
82368ek (2 curves)	0	2- 3- 11+ 13-	2- 3-  4  4 11+ 13- -4 -4
Curve Equation t 82368ek1 [0,0,0,-588,-95600] 2 82368ek2 [0,0,0,-35148,-2514800] 2
82368el (2 curves)	0	2- 3- 11- 13+	2- 3-  0  2 11- 13+  2  6
Curve Equation t 82368el1 [0,0,0,-19200,1023032] 2 82368el2 [0,0,0,-24060,465104] 2
82368em (4 curves)	0	2- 3- 11- 13+	2- 3-  0 -2 11- 13+ -6  2
Curve Equation t 82368em1 [0,0,0,-3426240,-2404309736] 2 82368em2 [0,0,0,-6969180,3418866448] 2 82368em3 [0,0,0,-276363840,-1768356981128] 2 82368em4 [0,0,0,-276368700,-1768291676336] 2
82368en (4 curves)	0	2- 3- 11- 13+	2- 3-  0  4 11- 13+  0 -4
Curve Equation t 82368en1 [0,0,0,207060,26076112] 2 82368en2 [0,0,0,-1037100,231611344] 2 82368en3 [0,0,0,-2151660,-1622197424] 2 82368en4 [0,0,0,-37541100,-88524506288] 2
82368eo (1 curve)	0	2- 3- 11- 13+	2- 3-  1  5 11- 13+ -6 -4
Curve Equation t 82368eo1 [0,0,0,11508,-7472] 1
82368ep (2 curves)	0	2- 3- 11- 13+	2- 3-  2  0 11- 13+ -8  2
Curve Equation t 82368ep1 [0,0,0,213396,64269520] 2 82368ep2 [0,0,0,-1703244,702893968] 2
82368eq (6 curves)	2	2- 3- 11- 13+	2- 3- -2  0 11- 13+  6 -4
Curve Equation t Generators 82368eq1 [0,0,0,-13836,898576] 2 [-139:369:1]&[50:576:1] 82368eq2 [0,0,0,-247116,47274640] 4 [-288:9724:1]&[128:4212:1] 82368eq3 [0,0,0,-273036,36751120] 4 [-448:8316:1]&[-430:8640:1] 82368eq4 [0,0,0,-3953676,3025866256] 2 [1149:59:1]&[2304:78404:1] 82368eq5 [0,0,0,772404,250439056] 2 [-96:13244:1]&[-67:14085:1] 82368eq6 [0,0,0,-1733196,-850442096] 2 [17282:-2265120:1]&[-736:5148:1]
82368er (2 curves)	0	2- 3- 11- 13+	2- 3-  3  1 11- 13+ -6  8
Curve Equation t 82368er1 [0,0,0,-3756,591568] 1 82368er2 [0,0,0,33684,-15657392] 1
82368es (1 curve)	0	2- 3- 11- 13+	2- 3- -3 -1 11- 13+  8 -6
Curve Equation t 82368es1 [0,0,0,-329484,1643998736] 1
82368et (1 curve)	0	2- 3- 11- 13+	2- 3- -3  5 11- 13+ -7  0
Curve Equation t 82368et1 [0,0,0,7476,2374544] 1
82368eu (2 curves)	0	2- 3- 11- 13+	2- 3- -3 -5 11- 13+  0  2
Curve Equation t 82368eu1 [0,0,0,7476,-554096] 1 82368eu2 [0,0,0,-355404,-81694064] 1
82368ev (2 curves)	0	2- 3- 11- 13+	2- 3-  4  2 11- 13+ -6  2
Curve Equation t 82368ev1 [0,0,0,-5043,-108560] 2 82368ev2 [0,0,0,-75828,-8036480] 2
82368ew (2 curves)	1	2- 3- 11- 13-	2- 3-  0 -4 11- 13- -8  4
Curve Equation t Generators 82368ew1 [0,0,0,420,-53584] 2 [50:304:1] 82368ew2 [0,0,0,-19020,-978928] 2 [-86:144:1]
82368ex (1 curve)	1	2- 3- 11- 13-	2- 3-  1  1 11- 13-  0  2
Curve Equation t Generators 82368ex1 [0,0,0,148308,117387632] 1 [-74:10296:1]
82368ey (1 curve)	1	2- 3- 11- 13-	2- 3- -1  1 11- 13-  8 -2
Curve Equation t Generators 82368ey1 [0,0,0,-588,10064] 1 [10:-72:1]
82368ez (1 curve)	1	2- 3- 11- 13-	2- 3- -1 -1 11- 13-  1 -4
Curve Equation t Generators 82368ez1 [0,0,0,-19308,1035344] 1 [122:704:1]
82368fa (1 curve)	1	2- 3- 11- 13-	2- 3- -1 -1 11- 13- -2 -4
Curve Equation t Generators 82368fa1 [0,0,0,-38028,-3944176] 1 [460:8712:1]
82368fb (1 curve)	1	2- 3- 11- 13-	2- 3- -1  2 11- 13-  4  2
Curve Equation t Generators 82368fb1 [0,0,0,-48,-466] 1 [1255:1001:125]
82368fc (4 curves)	1	2- 3- 11- 13-	2- 3-  2 -4 11- 13- -2 -4
Curve Equation t Generators 82368fc1 [0,0,0,-614604,185210768] 2 [469:351:1] 82368fc2 [0,0,0,-798924,64960400] 4 [-800:13860:1] 82368fc3 [0,0,0,3094836,511964048] 2 [914:64064:1] 82368fc4 [0,0,0,-7641804,-8078066800] 2 [-203680:861588:125]
82368fd (4 curves)	1	2- 3- 11- 13-	2- 3-  2 -4 11- 13-  6  4
Curve Equation t Generators 82368fd1 [0,0,0,-1719,-27432] 2 [76:530:1] 82368fd2 [0,0,0,-1764,-25920] 4 [-27:45:1] 82368fd3 [0,0,0,2196,-125712] 2 [61:485:1] 82368fd4 [0,0,0,-6444,170640] 2 [82:440:1]
82368fe (1 curve)	1	2- 3- 11- 13-	2- 3-  3 -1 11- 13- -2  4
Curve Equation t Generators 82368fe1 [0,0,0,-5196,144272] 1 [28:144:1]
82368ff (1 curve)	1	2- 3- 11- 13-	2- 3- -3 -3 11- 13-  4  6
Curve Equation t Generators 82368ff1 [0,0,0,6036,-43184] 1 [122:1584:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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