Cremona's table of elliptic curves

125120 = 2⁶ · 5 · 17 · 23

Class	r	Atkin-Lehner	Eigenvalues
125120a (2 curves)	1	2+ 5+ 17+ 23+	2+  0 5+ -4  2 -2 17+ -8
Curve Equation t Generators 125120a1 [0,0,0,-2128,-4248] 2 [-18:168:1] 125120a2 [0,0,0,8452,-33872] 2 [21:391:1]
125120b (1 curve)	1	2+ 5+ 17+ 23+	2+  1 5+  0 -1  4 17+ -2
Curve Equation t Generators 125120b1 [0,1,0,-3841,91999] 1 [57:248:1]
125120c (1 curve)	1	2+ 5+ 17+ 23+	2+ -1 5+  2 -2  3 17+ -4
Curve Equation t Generators 125120c1 [0,-1,0,-201,-1199] 1 [24:85:1]
125120d (2 curves)	1	2+ 5+ 17+ 23+	2+ -1 5+  2  3 -2 17+  4
Curve Equation t Generators 125120d1 [0,-1,0,-501,4501] 1 [13:4:1] 125120d2 [0,-1,0,1099,22261] 1 [53:476:1]
125120e (1 curve)	1	2+ 5+ 17+ 23+	2+ -1 5+  2 -5  0 17+ -4
Curve Equation t Generators 125120e1 [0,-1,0,-3383201,-2398389215] 1 [2194348987530358435:234342492563359107560:187355449604861]
125120f (1 curve)	1	2+ 5+ 17+ 23+	2+ -1 5+ -2 -1  4 17+  8
Curve Equation t Generators 125120f1 [0,-1,0,-490684801,4183781564801] 1 [498717910581:90845454880:38958219]
125120g (1 curve)	1	2+ 5+ 17+ 23+	2+ -1 5+ -2 -2  1 17+  5
Curve Equation t Generators 125120g1 [0,-1,0,4319,-114175] 1 [91:1012:1]
125120h (1 curve)	1	2+ 5+ 17+ 23+	2+ -1 5+ -2  6 -3 17+  1
Curve Equation t Generators 125120h1 [0,-1,0,2559,-231935] 1 [96:943:1]
125120i (1 curve)	1	2+ 5+ 17+ 23+	2+  2 5+ -2  2 -5 17+  5
Curve Equation t Generators 125120i1 [0,-1,0,-2241,51905] 1 [80:615:1]
125120j (1 curve)	1	2+ 5+ 17+ 23+	2+  3 5+  2 -1  4 17+  4
Curve Equation t Generators 125120j1 [0,0,0,21332,-11088592] 1 [456222741588581341442550852:8756996237724020825416849552:1178016330607559720970237]
125120k (1 curve)	1	2+ 5+ 17+ 23+	2+ -3 5+  4 -1  0 17+  2
Curve Equation t Generators 125120k1 [0,0,0,-2188,-47888] 1 [1924:84368:1]
125120l (1 curve)	0	2+ 5+ 17+ 23-	2+  1 5+  2  2  1 17+ -5
Curve Equation t 125120l1 [0,1,0,4319,114175] 1
125120m (1 curve)	0	2+ 5+ 17+ 23-	2+  1 5+ -4  4  5 17+  2
Curve Equation t 125120m1 [0,1,0,-2201,87215] 1
125120n (2 curves)	0	2+ 5+ 17+ 23-	2+  2 5+  2  6  1 17+ -5
Curve Equation t 125120n1 [0,-1,0,4319,-354279519] 1 125120n2 [0,-1,0,-37715681,-89145871519] 1
125120o (1 curve)	0	2+ 5+ 17- 23+	2+  1 5+  0  1 -4 17- -2
Curve Equation t 125120o1 [0,1,0,-25501,1573315] 1
125120p (1 curve)	2	2+ 5+ 17- 23+	2+  1 5+ -2 -2 -1 17-  1
Curve Equation t Generators 125120p1 [0,1,0,-116641,15302335] 1 [99:2176:1]&[285:2300:1]
125120q (1 curve)	2	2+ 5+ 17- 23+	2+ -1 5+  2 -3  2 17- -8
Curve Equation t Generators 125120q1 [0,-1,0,-21,85] 1 [1:8:1]&[4:7:1]
125120r (1 curve)	2	2+ 5+ 17- 23+	2+ -2 5+ -2 -2  5 17-  1
Curve Equation t Generators 125120r1 [0,1,0,11679,-434945] 1 [34:51:1]&[51:544:1]
125120s (1 curve)	1	2+ 5+ 17- 23-	2+  1 5+  2 -1  0 17-  4
Curve Equation t Generators 125120s1 [0,1,0,46559,743359] 1 [297:6392:1]
125120t (1 curve)	1	2+ 5+ 17- 23-	2+  1 5+  2  2 -5 17- -8
Curve Equation t Generators 125120t1 [0,1,0,879,10679] 1 [154:1955:1]
125120u (1 curve)	1	2+ 5+ 17- 23-	2+  1 5+ -2 -5 -4 17- -8
Curve Equation t Generators 125120u1 [0,1,0,-1,-545] 1 [9:16:1]
125120v (1 curve)	1	2+ 5+ 17- 23-	2+  2 5+ -2  2 -1 17- -1
Curve Equation t Generators 125120v1 [0,-1,0,85119,10533761] 1 [1088:37281:1]
125120w (1 curve)	1	2+ 5+ 17- 23-	2+ -2 5+  2  2  3 17-  7
Curve Equation t Generators 125120w1 [0,1,0,-8641,508575] 1 [74:529:1]
125120x (1 curve)	2	2+ 5- 17+ 23+	2+ -1 5- -2 -2 -1 17+ -7
Curve Equation t Generators 125120x1 [0,-1,0,-8865,373537] 1 [-96:575:1]&[-71:800:1]
125120y (4 curves)	1	2+ 5- 17+ 23-	2+  0 5-  0  4  2 17+  0
Curve Equation t Generators 125120y1 [0,0,0,388,784] 2 [0:28:1] 125120y2 [0,0,0,-1612,6384] 4 [200:2772:1] 125120y3 [0,0,0,-15212,-717136] 2 [158040:1811348:729] 125120y4 [0,0,0,-20012,1088304] 2 [286440:3457692:1331]
125120z (1 curve)	1	2+ 5- 17+ 23-	2+  0 5-  0 -6 -1 17+ -3
Curve Equation t Generators 125120z1 [0,0,0,148,-336] 1 [5:23:1]
125120ba (1 curve)	1	2+ 5- 17+ 23-	2+  1 5-  1 -4  4 17+ -1
Curve Equation t Generators 125120ba1 [0,1,0,-5505,190175] 1 [1065:-5120:27]
125120bb (1 curve)	1	2+ 5- 17+ 23-	2+ -1 5- -3  0 -4 17+  1
Curve Equation t Generators 125120bb1 [0,-1,0,-6528705,6423036097] 1 [2289:58880:1]
125120bc (1 curve)	1	2+ 5- 17+ 23-	2+ -3 5- -2  6 -1 17+  0
Curve Equation t Generators 125120bc1 [0,0,0,51668,-356744] 1 [1106:24565:8]
125120bd (1 curve)	1	2+ 5- 17- 23+	2+  1 5-  4  1  4 17- -6
Curve Equation t Generators 125120bd1 [0,1,0,-296225,-62575297] 1 [144576893:624480448:226981]
125120be (2 curves)	1	2+ 5- 17- 23+	2+ -1 5- -1  0  4 17- -5
Curve Equation t Generators 125120be1 [0,-1,0,4415,-32575] 1 [305:5440:1] 125120be2 [0,-1,0,-71745,-7633343] 1 [369:4000:1]
125120bf (2 curves)	1	2+ 5- 17- 23+	2+ -1 5-  2 -3  4 17-  4
Curve Equation t Generators 125120bf1 [0,-1,0,-545,37537] 1 [-33:136:1] 125120bf2 [0,-1,0,4895,-994975] 1 [127:1288:1]
125120bg (1 curve)	2	2+ 5- 17- 23-	2+  0 5- -4 -2 -3 17- -3
Curve Equation t Generators 125120bg1 [0,0,0,-19092812,32127254384] 1 [-5042:14720:1]&[2893:33235:1]
125120bh (1 curve)	0	2+ 5- 17- 23-	2+  1 5-  2  6  3 17- -4
Curve Equation t 125120bh1 [0,1,0,-33185,2315783] 1
125120bi (2 curves)	0	2+ 5- 17- 23-	2+ -2 5-  0  4 -2 17- -2
Curve Equation t 125120bi1 [0,1,0,-545,-25025] 2 125120bi2 [0,1,0,-16545,-821825] 2
125120bj (1 curve)	0	2+ 5- 17- 23-	2+  3 5-  4  3 -4 17-  6
Curve Equation t 125120bj1 [0,0,0,-232,-5944] 1
125120bk (1 curve)	2	2+ 5- 17- 23-	2+ -3 5-  2 -5 -6 17-  0
Curve Equation t Generators 125120bk1 [0,0,0,6368,6856] 1 [1:115:1]&[162:-2300:1]
125120bl (1 curve)	0	2- 5+ 17+ 23+	2- -1 5+  4 -4  5 17+ -2
Curve Equation t 125120bl1 [0,-1,0,-2201,-87215] 1
125120bm (2 curves)	0	2- 5+ 17+ 23+	2- -2 5+ -2 -6  1 17+  5
Curve Equation t 125120bm1 [0,1,0,4319,354279519] 1 125120bm2 [0,1,0,-37715681,89145871519] 1
125120bn (1 curve)	0	2- 5+ 17+ 23+	2- -3 5+  4  3 -2 17+ -2
Curve Equation t 125120bn1 [0,0,0,-1108,73408] 1
125120bo (2 curves)	1	2- 5+ 17+ 23-	2-  0 5+  4 -2 -2 17+  8
Curve Equation t Generators 125120bo1 [0,0,0,-2128,4248] 2 [-47:21:1] 125120bo2 [0,0,0,8452,33872] 2 [94:1288:1]
125120bp (1 curve)	1	2- 5+ 17+ 23-	2-  1 5+  2  1  4 17+ -8
Curve Equation t Generators 125120bp1 [0,1,0,-490684801,-4183781564801] 1 [172535888396147903198242515134744527181049300399516301697847007898572988695422229170874380964800023090448984713671012939946252098424688311743629462271261086613923:64699023482521726101324858098835060071674786570386065204767771035813224772634920647007102992196404969708543871329983536497328348016586707032915131600494491387791572:1196345631316329288224964517982595443408263922153738154251049470731150061415751452041027247978697739243516570844794087743877114217135300886011683189183718599]
125120bq (1 curve)	1	2- 5+ 17+ 23-	2-  1 5+  2 -6 -3 17+ -1
Curve Equation t Generators 125120bq1 [0,1,0,2559,231935] 1 [1893:23552:27]
125120br (1 curve)	1	2- 5+ 17+ 23-	2-  1 5+ -2  2  3 17+  4
Curve Equation t Generators 125120br1 [0,1,0,-201,1199] 1 [10:17:1]
125120bs (2 curves)	1	2- 5+ 17+ 23-	2-  1 5+ -2 -3 -2 17+ -4
Curve Equation t Generators 125120bs1 [0,1,0,-501,-4501] 1 [151:1840:1] 125120bs2 [0,1,0,1099,-22261] 1 [47:368:1]
125120bt (1 curve)	1	2- 5+ 17+ 23-	2-  1 5+ -2  5  0 17+  4
Curve Equation t Generators 125120bt1 [0,1,0,-3383201,2398389215] 1 [1109:3404:1]
125120bu (1 curve)	1	2- 5+ 17+ 23-	2- -1 5+  0  1  4 17+  2
Curve Equation t Generators 125120bu1 [0,-1,0,-3841,-91999] 1 [235873:2904316:1331]
125120bv (1 curve)	1	2- 5+ 17+ 23-	2- -2 5+  2 -2 -5 17+ -5
Curve Equation t Generators 125120bv1 [0,1,0,-2241,-51905] 1 [69:356:1]
125120bw (1 curve)	1	2- 5+ 17+ 23-	2-  3 5+ -4  1  0 17+ -2
Curve Equation t Generators 125120bw1 [0,0,0,-2188,47888] 1 [1344:6740:27]
125120bx (1 curve)	1	2- 5+ 17+ 23-	2-  3 5+ -4 -3 -2 17+  2
Curve Equation t Generators 125120bx1 [0,0,0,-1108,-73408] 1 [2496:21160:27]
125120by (1 curve)	1	2- 5+ 17+ 23-	2- -3 5+ -2  1  4 17+ -4
Curve Equation t Generators 125120by1 [0,0,0,21332,11088592] 1 [-176:1372:1]
125120bz (1 curve)	1	2- 5+ 17- 23+	2-  1 5+  0 -3  6 17- -6
Curve Equation t Generators 125120bz1 [0,1,0,119,-425] 1 [69:584:1]
125120ca (1 curve)	1	2- 5+ 17- 23+	2- -1 5+  2  5 -4 17-  8
Curve Equation t Generators 125120ca1 [0,-1,0,-1,545] 1 [-5:20:1]
125120cb (1 curve)	1	2- 5+ 17- 23+	2- -1 5+ -2  1  0 17- -4
Curve Equation t Generators 125120cb1 [0,-1,0,46559,-743359] 1 [43:1156:1]
125120cc (1 curve)	1	2- 5+ 17- 23+	2- -1 5+ -2 -2 -5 17-  8
Curve Equation t Generators 125120cc1 [0,-1,0,879,-10679] 1 [16:85:1]
125120cd (1 curve)	1	2- 5+ 17- 23+	2-  2 5+ -2 -2  3 17- -7
Curve Equation t Generators 125120cd1 [0,-1,0,-8641,-508575] 1 [6438288387:142378221564:12649337]
125120ce (1 curve)	1	2- 5+ 17- 23+	2- -2 5+  2 -2 -1 17-  1
Curve Equation t Generators 125120ce1 [0,1,0,85119,-10533761] 1 [357:8092:1]
125120cf (1 curve)	0	2- 5+ 17- 23-	2-  1 5+ -2  3  2 17-  8
Curve Equation t 125120cf1 [0,1,0,-21,-85] 1
125120cg (1 curve)	2	2- 5+ 17- 23-	2- -1 5+  0 -1 -4 17-  2
Curve Equation t Generators 125120cg1 [0,-1,0,-25501,-1573315] 1 [185:80:1]&[284:3743:1]
125120ch (1 curve)	0	2- 5+ 17- 23-	2- -1 5+  0  3  6 17-  6
Curve Equation t 125120ch1 [0,-1,0,119,425] 1
125120ci (1 curve)	0	2- 5+ 17- 23-	2- -1 5+  2  2 -1 17- -1
Curve Equation t 125120ci1 [0,-1,0,-116641,-15302335] 1
125120cj (1 curve)	0	2- 5+ 17- 23-	2-  2 5+  2  2  5 17- -1
Curve Equation t 125120cj1 [0,-1,0,11679,434945] 1
125120ck (4 curves)	1	2- 5- 17+ 23+	2-  0 5-  0 -4  2 17+  0
Curve Equation t Generators 125120ck1 [0,0,0,388,-784] 2 [10:64:1] 125120ck2 [0,0,0,-1612,-6384] 4 [60:336:1] 125120ck3 [0,0,0,-15212,717136] 2 [30100:82608:343] 125120ck4 [0,0,0,-20012,-1088304] 2 [7140:93968:27]
125120cl (1 curve)	1	2- 5- 17+ 23+	2-  0 5-  0  6 -1 17+  3
Curve Equation t Generators 125120cl1 [0,0,0,148,336] 1 [80:724:1]
125120cm (1 curve)	1	2- 5- 17+ 23+	2-  1 5-  3  0 -4 17+ -1
Curve Equation t Generators 125120cm1 [0,1,0,-6528705,-6423036097] 1 [91340979301974467:11961316170025607680:5207403265037]
125120cn (1 curve)	1	2- 5- 17+ 23+	2-  1 5- -4 -5  2 17+  6
Curve Equation t Generators 125120cn1 [0,1,0,-5225,-147145] 1 [2719417:19947656:24389]
125120co (1 curve)	1	2- 5- 17+ 23+	2-  1 5- -5  4  0 17+ -5
Curve Equation t Generators 125120co1 [0,1,0,-65,863] 1 [11:40:1]
125120cp (1 curve)	1	2- 5- 17+ 23+	2- -1 5- -1  4  4 17+  1
Curve Equation t Generators 125120cp1 [0,-1,0,-5505,-190175] 1 [2805:148480:1]
125120cq (1 curve)	1	2- 5- 17+ 23+	2- -2 5- -2 -2  3 17+  7
Curve Equation t Generators 125120cq1 [0,1,0,-9671425,-13002230625] 1 [6650:465625:1]
125120cr (1 curve)	1	2- 5- 17+ 23+	2-  3 5-  2 -6 -1 17+  0
Curve Equation t Generators 125120cr1 [0,0,0,51668,356744] 1 [55884:2481065:1728]
125120cs (1 curve)	0	2- 5- 17+ 23-	2-  1 5-  2  2 -1 17+  7
Curve Equation t 125120cs1 [0,1,0,-8865,-373537] 1
125120ct (1 curve)	0	2- 5- 17+ 23-	2- -1 5-  4  5  2 17+ -6
Curve Equation t 125120ct1 [0,-1,0,-5225,147145] 1
125120cu (1 curve)	0	2- 5- 17+ 23-	2- -1 5-  5 -4  0 17+  5
Curve Equation t 125120cu1 [0,-1,0,-65,-863] 1
125120cv (1 curve)	0	2- 5- 17+ 23-	2-  2 5-  2  2  3 17+ -7
Curve Equation t 125120cv1 [0,-1,0,-9671425,13002230625] 1
125120cw (1 curve)	0	2- 5- 17- 23+	2-  0 5-  4  2 -3 17-  3
Curve Equation t 125120cw1 [0,0,0,-19092812,-32127254384] 1
125120cx (1 curve)	0	2- 5- 17- 23+	2- -1 5- -2 -6  3 17-  4
Curve Equation t 125120cx1 [0,-1,0,-33185,-2315783] 1
125120cy (2 curves)	0	2- 5- 17- 23+	2-  2 5-  0 -4 -2 17-  2
Curve Equation t 125120cy1 [0,-1,0,-545,25025] 2 125120cy2 [0,-1,0,-16545,821825] 2
125120cz (2 curves)	0	2- 5- 17- 23+	2- -2 5-  0  0  6 17-  6
Curve Equation t 125120cz1 [0,1,0,-41145,-3364025] 2 125120cz2 [0,1,0,-666145,-209489025] 2
125120da (1 curve)	2	2- 5- 17- 23+	2- -2 5-  2 -6 -3 17- -5
Curve Equation t Generators 125120da1 [0,1,0,-545,4735] 1 [-22:81:1]&[3:56:1]
125120db (1 curve)	0	2- 5- 17- 23+	2-  3 5- -2  5 -6 17-  0
Curve Equation t 125120db1 [0,0,0,6368,-6856] 1
125120dc (1 curve)	2	2- 5- 17- 23+	2- -3 5- -4 -3 -4 17- -6
Curve Equation t Generators 125120dc1 [0,0,0,-232,5944] 1 [-22:20:1]&[-7:85:1]
125120dd (2 curves)	1	2- 5- 17- 23-	2-  1 5-  1  0  4 17-  5
Curve Equation t Generators 125120dd1 [0,1,0,4415,32575] 1 [15:320:1] 125120dd2 [0,1,0,-71745,7633343] 1 [-209:3680:1]
125120de (2 curves)	1	2- 5- 17- 23-	2-  1 5- -2  3  4 17- -4
Curve Equation t Generators 125120de1 [0,1,0,-545,-37537] 1 [53:292:1] 125120de2 [0,1,0,4895,994975] 1 [-75:460:1]
125120df (1 curve)	1	2- 5- 17- 23-	2- -1 5- -4 -1  4 17-  6
Curve Equation t Generators 125120df1 [0,-1,0,-296225,62575297] 1 [267:1564:1]
125120dg (2 curves)	1	2- 5- 17- 23-	2-  2 5-  0  0  6 17- -6
Curve Equation t Generators 125120dg1 [0,-1,0,-41145,3364025] 2 [215:2100:1] 125120dg2 [0,-1,0,-666145,209489025] 2 [165:10200:1]
125120dh (1 curve)	1	2- 5- 17- 23-	2-  2 5- -2  6 -3 17-  5
Curve Equation t Generators 125120dh1 [0,-1,0,-545,-4735] 1 [7742921:62626296:103823]

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