Cremona's table of elliptic curves

54080 = 2⁶ · 5 · 13²

Class	r	Atkin-Lehner	Eigenvalues
54080a (4 curves)	1	2+ 5+ 13+	2+  0 5+  0 -4 13+ -6  4
Curve Equation t Generators 54080a1 [0,0,0,-15548,738192] 2 [-91:1183:1] 54080a2 [0,0,0,-29068,-738192] 4 [-107:1071:1] 54080a3 [0,0,0,106132,-5659472] 2 [165357:3998519:729] 54080a4 [0,0,0,-380588,-90305488] 2 [-1720859:-832671:4913]
54080b (1 curve)	1	2+ 5+ 13+	2+  0 5+  1  5 13+  4  7
Curve Equation t Generators 54080b1 [0,0,0,52,208] 1 [-3:5:1]
54080c (1 curve)	1	2+ 5+ 13+	2+  0 5+ -1 -5 13+  4 -7
Curve Equation t Generators 54080c1 [0,0,0,52,-208] 1 [4:8:1]
54080d (2 curves)	1	2+ 5+ 13+	2+  0 5+  2 -2 13+ -2  2
Curve Equation t Generators 54080d1 [0,0,0,-18083,-975468] 2 [16138512858:424731235175:22425768] 54080d2 [0,0,0,-292708,-60953568] 2 [77727:4090645:27]
54080e (2 curves)	1	2+ 5+ 13+	2+  0 5+ -2  2 13+ -2 -2
Curve Equation t Generators 54080e1 [0,0,0,-18083,975468] 2 [312:5070:1] 54080e2 [0,0,0,-292708,60953568] 2 [-156:10140:1]
54080f (2 curves)	1	2+ 5+ 13+	2+  0 5+ -3  3 13+ -4 -7
Curve Equation t Generators 54080f1 [0,0,0,-56108,8336432] 1 [88:2020:1] 54080f2 [0,0,0,-4923308,-4544983248] 1 [427049172376092453848:-82009727163172694020420:11537201139178681]
54080g (1 curve)	1	2+ 5+ 13+	2+  1 5+  3  1 13+  1 -1
Curve Equation t Generators 54080g1 [0,1,0,-1681,25975] 1 [186:5:8]
54080h (1 curve)	1	2+ 5+ 13+	2+  1 5+  3 -3 13+ -3 -5
Curve Equation t Generators 54080h1 [0,1,0,-38081,97319] 1 [-30392:751115:512]
54080i (1 curve)	1	2+ 5+ 13+	2+  1 5+ -3 -5 13+  5  1
Curve Equation t Generators 54080i1 [0,1,0,-38081,2839175] 1 [122:155:1]
54080j (1 curve)	1	2+ 5+ 13+	2+  1 5+ -5 -5 13+ -1 -3
Curve Equation t Generators 54080j1 [0,1,0,-121,79] 1 [-6:25:1]
54080k (2 curves)	1	2+ 5+ 13+	2+ -1 5+  1  3 13+ -3  5
Curve Equation t Generators 54080k1 [0,-1,0,-121,545] 1 [8:5:1] 54080k2 [0,-1,0,-1161,-14639] 1 [216:3125:1]
54080l (2 curves)	1	2+ 5+ 13+	2+ -1 5+ -1 -3 13+ -3  7
Curve Equation t Generators 54080l1 [0,-1,0,-4281,-101375] 1 [-246:125:8] 54080l2 [0,-1,0,-342281,-76962575] 1 [-32845242:6635:97336]
54080m (2 curves)	1	2+ 5+ 13+	2+  2 5+  1  3 13+ -6  5
Curve Equation t Generators 54080m1 [0,-1,0,-641,6785] 1 [-29:12:1] 54080m2 [0,-1,0,3519,9281] 1 [-17119:149700:6859]
54080n (2 curves)	1	2+ 5+ 13+	2+  2 5+  2 -4 13+  2  8
Curve Equation t Generators 54080n1 [0,-1,0,-56,4250] 2 [2037:17576:27] 54080n2 [0,-1,0,-4281,108185] 2 [46943:354336:2197]
54080o (4 curves)	1	2+ 5+ 13+	2+  2 5+ -2  0 13+ -6 -4
Curve Equation t Generators 54080o1 [0,-1,0,-901,7461] 2 [-1755:16368:125] 54080o2 [0,-1,0,2479,47345] 2 [1034:12675:8] 54080o3 [0,-1,0,-27941,-1787995] 2 [696589870620:62125141679315:87528384] 54080o4 [0,-1,0,-24561,-2240239] 2 [859413:153323560:27]
54080p (2 curves)	1	2+ 5+ 13+	2+  2 5+  4  2 13+  2 -6
Curve Equation t Generators 54080p1 [0,-1,0,-11041,98721] 2 [1344615:-25875136:3375] 54080p2 [0,-1,0,43039,736865] 2 [291:29600:27]
54080q (1 curve)	1	2+ 5+ 13+	2+  2 5+ -5 -1 13+ -2 -7
Curve Equation t Generators 54080q1 [0,-1,0,-389601,-94498015] 1 [9500393:1580688096:343]
54080r (2 curves)	1	2+ 5+ 13+	2+ -2 5+ -2  4 13+  2  0
Curve Equation t Generators 54080r1 [0,1,0,-190181,31859179] 2 [-5:5728:1] 54080r2 [0,1,0,-186801,33049615] 2 [329:2704:1]
54080s (2 curves)	1	2+ 5+ 13+	2+ -2 5+ -2  4 13+  2 -8
Curve Equation t Generators 54080s1 [0,1,0,-56,-4250] 2 [225:3380:1] 54080s2 [0,1,0,-4281,-108185] 2 [14660:212095:64]
54080t (1 curve)	1	2+ 5+ 13+	2+ -2 5+ -3 -5 13+ -2  5
Curve Equation t Generators 54080t1 [0,1,0,-38081,-14754401] 1 [397:5732:1]
54080u (2 curves)	1	2+ 5+ 13+	2+ -2 5+  4 -2 13+  2  6
Curve Equation t Generators 54080u1 [0,1,0,-9096481,-10561452225] 2 [304848257723266277:-261067031745565975552:415662001847] 54080u2 [0,1,0,-8231201,-12650411201] 2 [292593929781:1359734800000:84604519]
54080v (1 curve)	1	2+ 5+ 13+	2+ -2 5+  5  1 13+ -2  7
Curve Equation t Generators 54080v1 [0,1,0,-389601,94498015] 1 [394:1521:1]
54080w (1 curve)	1	2+ 5+ 13+	2+  3 5+  3 -3 13+ -7 -1
Curve Equation t Generators 54080w1 [0,0,0,-8788,228488] 1 [18732:633725:1728]
54080x (1 curve)	1	2+ 5+ 13+	2+  3 5+ -3  5 13+  3 -5
Curve Equation t Generators 54080x1 [0,0,0,-4108,100568] 1 [21501:51875:729]
54080y (2 curves)	0	2+ 5+ 13-	2+  0 5+  0  2 13- -2  2
Curve Equation t 54080y1 [0,0,0,-360308,-83169632] 2 54080y2 [0,0,0,-272428,-124754448] 2
54080z (2 curves)	0	2+ 5+ 13-	2+  0 5+  0 -2 13- -2 -2
Curve Equation t 54080z1 [0,0,0,-360308,83169632] 2 54080z2 [0,0,0,-272428,124754448] 2
54080ba (2 curves)	0	2+ 5+ 13-	2+ -2 5+  0  0 13-  6  0
Curve Equation t 54080ba1 [0,1,0,-741121,-94197921] 2 54080ba2 [0,1,0,-6365441,6113926495] 2
54080bb (4 curves)	0	2+ 5- 13+	2+  0 5-  0  0 13+  2 -8
Curve Equation t 54080bb1 [0,0,0,-72332,-2706704] 2 54080bb2 [0,0,0,-937612,-349164816] 4 54080bb3 [0,0,0,-721292,-514519824] 2 54080bb4 [0,0,0,-14998412,-22357128976] 2
54080bc (1 curve)	0	2+ 5- 13+	2+  0 5-  1  5 13+  4  7
Curve Equation t 54080bc1 [0,0,0,8788,-456976] 1
54080bd (1 curve)	2	2+ 5- 13+	2+  0 5- -1 -5 13+  4 -7
Curve Equation t Generators 54080bd1 [0,0,0,8788,456976] 1 [0:676:1]&[186:2920:1]
54080be (2 curves)	0	2+ 5- 13+	2+  0 5-  3 -3 13+ -4  7
Curve Equation t 54080be1 [0,0,0,-9482252,18315141104] 1 54080be2 [0,0,0,-832039052,-9985328195856] 1
54080bf (4 curves)	0	2+ 5- 13+	2+  0 5-  4  4 13+  2  4
Curve Equation t 54080bf1 [0,0,0,-1352,17576] 2 54080bf2 [0,0,0,-4732,-105456] 4 54080bf3 [0,0,0,8788,-597584] 2 54080bf4 [0,0,0,-72332,-7487376] 2
54080bg (1 curve)	0	2+ 5- 13+	2+  1 5-  3  5 13+  5 -1
Curve Equation t 54080bg1 [0,1,0,-225,1223] 1
54080bh (1 curve)	0	2+ 5- 13+	2+  1 5- -3 -1 13+  1  1
Curve Equation t 54080bh1 [0,1,0,-284145,58203575] 1
54080bi (1 curve)	0	2+ 5- 13+	2+  1 5- -3  3 13+ -3  5
Curve Equation t 54080bi1 [0,1,0,-225,-25] 1
54080bj (1 curve)	0	2+ 5- 13+	2+  1 5-  5  5 13+ -1  3
Curve Equation t 54080bj1 [0,1,0,-20505,255503] 1
54080bk (2 curves)	0	2+ 5- 13+	2+ -1 5-  1  3 13+ -3 -7
Curve Equation t 54080bk1 [0,-1,0,-723545,-225614975] 1 54080bk2 [0,-1,0,-57845545,-169318159375] 1
54080bl (2 curves)	0	2+ 5- 13+	2+ -1 5- -1 -3 13+ -3 -5
Curve Equation t 54080bl1 [0,-1,0,-20505,1115425] 1 54080bl2 [0,-1,0,-196265,-32946863] 1
54080bm (2 curves)	0	2+ 5- 13+	2+  2 5- -1 -3 13+ -6 -5
Curve Equation t 54080bm1 [0,-1,0,-108385,14473185] 1 54080bm2 [0,-1,0,594655,22769057] 1
54080bn (4 curves)	0	2+ 5- 13+	2+  2 5-  4 -6 13+ -6  2
Curve Equation t 54080bn1 [0,-1,0,-351745,79937025] 2 54080bn2 [0,-1,0,-135425,176978177] 2 54080bn3 [0,-1,0,-2244545,-1241615935] 2 54080bn4 [0,-1,0,1216575,-4728348223] 2
54080bo (1 curve)	0	2+ 5- 13+	2+  2 5-  5  1 13+ -2  7
Curve Equation t 54080bo1 [0,-1,0,-2305,-42303] 1
54080bp (2 curves)	0	2+ 5- 13+	2+ -2 5-  0  2 13+  2  2
Curve Equation t 54080bp1 [0,1,0,-13745,-615185] 2 54080bp2 [0,1,0,-225,-1758977] 2
54080bq (1 curve)	0	2+ 5- 13+	2+ -2 5-  3  5 13+ -2 -5
Curve Equation t 54080bq1 [0,1,0,-225,-6785] 1
54080br (1 curve)	2	2+ 5- 13+	2+ -2 5- -5 -1 13+ -2 -7
Curve Equation t Generators 54080br1 [0,1,0,-2305,42303] 1 [-49:200:1]&[31:40:1]
54080bs (1 curve)	0	2+ 5- 13+	2+  3 5-  3 -5 13+  3  5
Curve Equation t 54080bs1 [0,0,0,-694252,220947896] 1
54080bt (1 curve)	0	2+ 5- 13+	2+  3 5- -3  3 13+ -7  1
Curve Equation t 54080bt1 [0,0,0,-52,104] 1
54080bu (2 curves)	1	2+ 5- 13-	2+  0 5-  0  2 13- -2  2
Curve Equation t Generators 54080bu1 [0,0,0,-2132,37856] 2 [22:40:1] 54080bu2 [0,0,0,-1612,56784] 2 [13:195:1]
54080bv (2 curves)	1	2+ 5- 13-	2+  0 5-  0 -2 13- -2 -2
Curve Equation t Generators 54080bv1 [0,0,0,-2132,-37856] 2 [-27:5:1] 54080bv2 [0,0,0,-1612,-56784] 2 [77:525:1]
54080bw (2 curves)	1	2+ 5- 13-	2+ -2 5-  0  0 13-  6  0
Curve Equation t Generators 54080bw1 [0,1,0,-4385,-44225] 2 [-35:260:1] 54080bw2 [0,1,0,-37665,2771263] 2 [131:320:1]
54080bx (4 curves)	0	2- 5+ 13+	2-  0 5+  0  4 13+ -6 -4
Curve Equation t 54080bx1 [0,0,0,-15548,-738192] 2 54080bx2 [0,0,0,-29068,738192] 4 54080bx3 [0,0,0,106132,5659472] 2 54080bx4 [0,0,0,-380588,90305488] 2
54080by (2 curves)	0	2- 5+ 13+	2-  0 5+  3 -3 13+ -4  7
Curve Equation t 54080by1 [0,0,0,-56108,-8336432] 1 54080by2 [0,0,0,-4923308,4544983248] 1
54080bz (2 curves)	0	2- 5+ 13+	2-  1 5+  1  3 13+ -3 -7
Curve Equation t 54080bz1 [0,1,0,-4281,101375] 1 54080bz2 [0,1,0,-342281,76962575] 1
54080ca (2 curves)	2	2- 5+ 13+	2-  1 5+ -1 -3 13+ -3 -5
Curve Equation t Generators 54080ca1 [0,1,0,-121,-545] 1 [-6:1:1]&[42:265:1] 54080ca2 [0,1,0,-1161,14639] 1 [-38:73:1]&[34:125:1]
54080cb (1 curve)	0	2- 5+ 13+	2- -1 5+  3  5 13+  5 -1
Curve Equation t 54080cb1 [0,-1,0,-38081,-2839175] 1
54080cc (1 curve)	0	2- 5+ 13+	2- -1 5+ -3 -1 13+  1  1
Curve Equation t 54080cc1 [0,-1,0,-1681,-25975] 1
54080cd (1 curve)	0	2- 5+ 13+	2- -1 5+ -3  3 13+ -3  5
Curve Equation t 54080cd1 [0,-1,0,-38081,-97319] 1
54080ce (1 curve)	0	2- 5+ 13+	2- -1 5+  5  5 13+ -1  3
Curve Equation t 54080ce1 [0,-1,0,-121,-79] 1
54080cf (2 curves)	0	2- 5+ 13+	2-  2 5+  2 -4 13+  2  0
Curve Equation t 54080cf1 [0,-1,0,-190181,-31859179] 2 54080cf2 [0,-1,0,-186801,-33049615] 2
54080cg (1 curve)	0	2- 5+ 13+	2-  2 5+  3  5 13+ -2 -5
Curve Equation t 54080cg1 [0,-1,0,-38081,14754401] 1
54080ch (2 curves)	0	2- 5+ 13+	2-  2 5+  4 -6 13+ -6 -6
Curve Equation t 54080ch1 [0,-1,0,-3436,96186] 2 54080ch2 [0,-1,0,-58361,5445881] 2
54080ci (2 curves)	0	2- 5+ 13+	2-  2 5+ -4  2 13+  2 -6
Curve Equation t 54080ci1 [0,-1,0,-9096481,10561452225] 2 54080ci2 [0,-1,0,-8231201,12650411201] 2
54080cj (2 curves)	2	2- 5+ 13+	2- -2 5+ -1 -3 13+ -6 -5
Curve Equation t Generators 54080cj1 [0,1,0,-641,-6785] 1 [31:64:1]&[34:109:1] 54080cj2 [0,1,0,3519,-9281] 1 [47:-512:1]&[42:463:1]
54080ck (4 curves)	2	2- 5+ 13+	2- -2 5+  2  0 13+ -6  4
Curve Equation t Generators 54080ck1 [0,1,0,-901,-7461] 2 [-25:8:1]&[-18:57:1] 54080ck2 [0,1,0,2479,-47345] 2 [27:200:1]&[69:676:1] 54080ck3 [0,1,0,-27941,1787995] 2 [-74:1859:1]&[31:976:1] 54080ck4 [0,1,0,-24561,2240239] 2 [-165:1352:1]&[59:-1000:1]
54080cl (2 curves)	0	2- 5+ 13+	2- -2 5+ -4 -2 13+  2  6
Curve Equation t 54080cl1 [0,1,0,-11041,-98721] 2 54080cl2 [0,1,0,43039,-736865] 2
54080cm (2 curves)	0	2- 5+ 13+	2- -2 5+ -4  6 13+ -6  6
Curve Equation t 54080cm1 [0,1,0,-3436,-96186] 2 54080cm2 [0,1,0,-58361,-5445881] 2
54080cn (1 curve)	0	2- 5+ 13+	2- -3 5+  3 -5 13+  3  5
Curve Equation t 54080cn1 [0,0,0,-4108,-100568] 1
54080co (1 curve)	0	2- 5+ 13+	2- -3 5+ -3  3 13+ -7  1
Curve Equation t 54080co1 [0,0,0,-8788,-228488] 1
54080cp (2 curves)	1	2- 5+ 13-	2-  2 5+  0  0 13-  6  0
Curve Equation t Generators 54080cp1 [0,-1,0,-741121,94197921] 2 [236743499933265:-8092869264219648:2155187099213] 54080cp2 [0,-1,0,-6365441,-6113926495] 2 [-31037762632766969176472138127:108433022487848427435699821716:20070595558906637586514947]
54080cq (2 curves)	1	2- 5+ 13-	2-  2 5+  4 -4 13-  6 -4
Curve Equation t Generators 54080cq1 [0,-1,0,-121,441] 2 [0:21:1] 54080cq2 [0,-1,0,-641,-5695] 2 [-312:161:27]
54080cr (2 curves)	1	2- 5+ 13-	2- -2 5+ -4  4 13-  6  4
Curve Equation t Generators 54080cr1 [0,1,0,-121,-441] 2 [-5:8:1] 54080cr2 [0,1,0,-641,5695] 2 [-9:104:1]
54080cs (4 curves)	1	2- 5- 13+	2-  0 5-  0  0 13+  2  8
Curve Equation t Generators 54080cs1 [0,0,0,-72332,2706704] 2 [1820:160888:125] 54080cs2 [0,0,0,-937612,349164816] 4 [-587759874:-35472586240:1367631] 54080cs3 [0,0,0,-721292,514519824] 2 [11648:1253980:1] 54080cs4 [0,0,0,-14998412,22357128976] 2 [-46410:5602688:27]
54080ct (2 curves)	1	2- 5- 13+	2-  0 5- -3  3 13+ -4 -7
Curve Equation t Generators 54080ct1 [0,0,0,-9482252,-18315141104] 1 [22317:3299245:1] 54080ct2 [0,0,0,-832039052,9985328195856] 1 [31523357439989216343792287304043229395:3214722847333973509109177437735098300499:1148064154683840820949835862300031]
54080cu (4 curves)	1	2- 5- 13+	2-  0 5-  4 -4 13+  2  4
Curve Equation t Generators 54080cu1 [0,0,0,-3887,-720616] 2 [445164168:7796820500:1367631] 54080cu2 [0,0,0,-146692,-21513024] 4 [35454:1222480:27] 54080cu3 [0,0,0,-234572,7276464] 4 [558:7080:1] 54080cu4 [0,0,0,-2343692,-1381016624] 2 [134656746:1412084465:74088]
54080cv (4 curves)	1	2- 5- 13+	2-  0 5- -4  4 13+  2 -4
Curve Equation t Generators 54080cv1 [0,0,0,-3887,720616] 2 [472:10200:1] 54080cv2 [0,0,0,-146692,21513024] 4 [198:480:1] 54080cv3 [0,0,0,-234572,-7276464] 2 [572:6760:1] 54080cv4 [0,0,0,-2343692,1381016624] 4 [56316:2014480:27]
54080cw (4 curves)	1	2- 5- 13+	2-  0 5- -4 -4 13+  2 -4
Curve Equation t Generators 54080cw1 [0,0,0,-1352,-17576] 2 [-510:944:27] 54080cw2 [0,0,0,-4732,105456] 4 [-38:480:1] 54080cw3 [0,0,0,8788,597584] 2 [13:845:1] 54080cw4 [0,0,0,-72332,7487376] 2 [300:3576:1]
54080cx (2 curves)	1	2- 5- 13+	2-  1 5-  1  3 13+ -3  5
Curve Equation t Generators 54080cx1 [0,1,0,-20505,-1115425] 1 [-1093834:1184503:12167] 54080cx2 [0,1,0,-196265,32946863] 1 [146:2725:1]
54080cy (2 curves)	1	2- 5- 13+	2-  1 5- -1 -3 13+ -3  7
Curve Equation t Generators 54080cy1 [0,1,0,-723545,225614975] 1 [-190:18875:1] 54080cy2 [0,1,0,-57845545,169318159375] 1 [557440710:2848804505:132651]
54080cz (1 curve)	1	2- 5- 13+	2- -1 5-  3  1 13+  1 -1
Curve Equation t Generators 54080cz1 [0,-1,0,-284145,-58203575] 1 [-15707234760:1006040645:51064811]
54080da (1 curve)	1	2- 5- 13+	2- -1 5-  3 -3 13+ -3 -5
Curve Equation t Generators 54080da1 [0,-1,0,-225,25] 1 [0:5:1]
54080db (1 curve)	1	2- 5- 13+	2- -1 5- -3 -5 13+  5  1
Curve Equation t Generators 54080db1 [0,-1,0,-225,-1223] 1 [-8:1:1]
54080dc (1 curve)	1	2- 5- 13+	2- -1 5- -5 -5 13+ -1 -3
Curve Equation t Generators 54080dc1 [0,-1,0,-20505,-255503] 1 [-56:-845:1]
54080dd (2 curves)	1	2- 5- 13+	2-  2 5-  0 -2 13+  2 -2
Curve Equation t Generators 54080dd1 [0,-1,0,-13745,615185] 2 [-303:23660:27] 54080dd2 [0,-1,0,-225,1758977] 2 [60872:925275:343]
54080de (1 curve)	1	2- 5- 13+	2-  2 5- -3 -5 13+ -2  5
Curve Equation t Generators 54080de1 [0,-1,0,-225,6785] 1 [32:177:1]
54080df (2 curves)	1	2- 5- 13+	2- -2 5-  1  3 13+ -6  5
Curve Equation t Generators 54080df1 [0,1,0,-108385,-14473185] 1 [23187036106:650974254767:25153757] 54080df2 [0,1,0,594655,-22769057] 1 [826:32135:1]
54080dg (4 curves)	1	2- 5- 13+	2- -2 5- -4  6 13+ -6 -2
Curve Equation t Generators 54080dg1 [0,1,0,-351745,-79937025] 2 [-347:676:1] 54080dg2 [0,1,0,-135425,-176978177] 2 [1317:43940:1] 54080dg3 [0,1,0,-2244545,1241615935] 2 [-3129:1045772:27] 54080dg4 [0,1,0,1216575,4728348223] 2 [94610967:10240260940:132651]
54080dh (1 curve)	1	2- 5- 13+	2- -3 5-  3 -3 13+ -7 -1
Curve Equation t Generators 54080dh1 [0,0,0,-52,-104] 1 [-3:5:1]
54080di (1 curve)	1	2- 5- 13+	2- -3 5- -3  5 13+  3 -5
Curve Equation t Generators 54080di1 [0,0,0,-694252,-220947896] 1 [-507:845:1]
54080dj (2 curves)	0	2- 5- 13-	2-  2 5-  0  0 13-  6  0
Curve Equation t 54080dj1 [0,-1,0,-4385,44225] 2 54080dj2 [0,-1,0,-37665,-2771263] 2
54080dk (2 curves)	0	2- 5- 13-	2-  2 5- -4  4 13-  6  4
Curve Equation t 54080dk1 [0,-1,0,-20505,886937] 2 54080dk2 [0,-1,0,-108385,-12945375] 2
54080dl (2 curves)	0	2- 5- 13-	2- -2 5-  4 -4 13-  6 -4
Curve Equation t 54080dl1 [0,1,0,-20505,-886937] 2 54080dl2 [0,1,0,-108385,12945375] 2

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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