Cremona's table of elliptic curves

24150 = 2 · 3 · 5² · 7 · 23

Class	r	Atkin-Lehner	Eigenvalues
24150a (1 curve)	1	2+ 3+ 5+ 7+ 23+	2+ 3+ 5+ 7+  0  1  1  0
Curve Equation t Generators 24150a1 [1,1,0,-35,-105] 1 [11:26:1]
24150b (2 curves)	1	2+ 3+ 5+ 7+ 23+	2+ 3+ 5+ 7+  4 -2 -4 -4
Curve Equation t Generators 24150b1 [1,1,0,-1500,-22500] 2 [-25:25:1] 24150b2 [1,1,0,250,-69750] 2 [45:165:1]
24150c (2 curves)	1	2+ 3+ 5+ 7+ 23+	2+ 3+ 5+ 7+ -6  4 -2  0
Curve Equation t Generators 24150c1 [1,1,0,6475,4318125] 2 [-35:2030:1] 24150c2 [1,1,0,-361525,81230125] 2 [-5:9115:1]
24150d (8 curves)	0	2+ 3+ 5+ 7+ 23-	2+ 3+ 5+ 7+  0 -2 -6 -4
Curve Equation t 24150d1 [1,1,0,-77068400,-259758048000] 2 24150d2 [1,1,0,-109836400,-17569760000] 4 24150d3 [1,1,0,-6237964400,-189634959840000] 2 24150d4 [1,1,0,438963600,-139952160000] 2 24150d5 [1,1,0,-1182924400,15605518432000] 2 24150d6 [1,1,0,-6237972400,-189634449128000] 4 24150d7 [1,1,0,-6128597400,-196604589753000] 2 24150d8 [1,1,0,-6347475400,-182631622775000] 2
24150e (2 curves)	0	2+ 3+ 5+ 7+ 23-	2+ 3+ 5+ 7+  0 -5  0  8
Curve Equation t 24150e1 [1,1,0,75,1125] 1 24150e2 [1,1,0,-675,-31125] 1
24150f (4 curves)	0	2+ 3+ 5+ 7+ 23-	2+ 3+ 5+ 7+  0  6  2  4
Curve Equation t 24150f1 [1,1,0,-18900,-1008000] 2 24150f2 [1,1,0,-19400,-952500] 4 24150f3 [1,1,0,24350,-4583750] 2 24150f4 [1,1,0,-71150,6240750] 2
24150g (4 curves)	0	2+ 3+ 5+ 7+ 23-	2+ 3+ 5+ 7+  6 -2  0  2
Curve Equation t 24150g1 [1,1,0,-25650,1552500] 2 24150g2 [1,1,0,-48650,-1690500] 2 24150g3 [1,1,0,-204150,-34788000] 2 24150g4 [1,1,0,-3245900,-2252223750] 2
24150h (4 curves)	0	2+ 3+ 5+ 7+ 23-	2+ 3+ 5+ 7+ -6  4  6 -4
Curve Equation t 24150h1 [1,1,0,-12000,28800000] 2 24150h2 [1,1,0,-1484000,686784000] 2 24150h3 [1,1,0,108000,-777480000] 2 24150h4 [1,1,0,-12059000,-15779391000] 2
24150i (2 curves)	0	2+ 3+ 5+ 7- 23+	2+ 3+ 5+ 7- -2  6  4 -6
Curve Equation t 24150i1 [1,1,0,-208875,-16927875] 2 24150i2 [1,1,0,-1680875,826528125] 2
24150j (4 curves)	0	2+ 3+ 5+ 7- 23+	2+ 3+ 5+ 7-  4 -2 -6  0
Curve Equation t 24150j1 [1,1,0,-14975,-1156875] 2 24150j2 [1,1,0,-279475,-56966375] 4 24150j3 [1,1,0,-319725,-39538125] 2 24150j4 [1,1,0,-4471225,-3640912625] 2
24150k (1 curve)	0	2+ 3+ 5+ 7- 23+	2+ 3+ 5+ 7-  4  3  4  0
Curve Equation t 24150k1 [1,1,0,227400,28104000] 1
24150l (2 curves)	0	2+ 3+ 5+ 7- 23+	2+ 3+ 5+ 7-  4 -6  4  0
Curve Equation t 24150l1 [1,1,0,-4025,-94875] 2 24150l2 [1,1,0,2975,-381875] 2
24150m (4 curves)	1	2+ 3+ 5+ 7- 23-	2+ 3+ 5+ 7-  0  2  6  0
Curve Equation t Generators 24150m1 [1,1,0,-28525,5540125] 2 [-149:2626:1] 24150m2 [1,1,0,-676525,213548125] 4 [-635:20005:1] 24150m3 [1,1,0,-901525,58973125] 2 [991:11338:1] 24150m4 [1,1,0,-10819525,13693595125] 2 [1899:-925:1]
24150n (2 curves)	1	2+ 3+ 5+ 7- 23-	2+ 3+ 5+ 7- -2  0 -2  4
Curve Equation t Generators 24150n1 [1,1,0,0,7500] 2 [5:-90:1] 24150n2 [1,1,0,-5750,162750] 2 [65:-295:1]
24150o (6 curves)	1	2+ 3+ 5+ 7- 23-	2+ 3+ 5+ 7-  4  2 -2 -4
Curve Equation t Generators 24150o1 [1,1,0,-19000,1000000] 2 [0:1000:1] 24150o2 [1,1,0,-21000,774000] 4 [-60:1380:1] 24150o3 [1,1,0,59500,5362500] 2 [101:3473:1] 24150o4 [1,1,0,-133500,-18238500] 4 [-201:825:1] 24150o5 [1,1,0,50250,-64359750] 2 [1549:60325:1] 24150o6 [1,1,0,-2117250,-1186667250] 2 [1915:41305:1]
24150p (6 curves)	1	2+ 3+ 5+ 7- 23-	2+ 3+ 5+ 7-  4 -6 -2  4
Curve Equation t Generators 24150p1 [1,1,0,-1883500,-109550000] 2 [-1245:18160:1] 24150p2 [1,1,0,-21883500,-39329550000] 4 [7885775061:1451848609521:226981] 24150p3 [1,1,0,-13833500,-68623500000] 2 [195335875430565:-13059768973352645:26118765063] 24150p4 [1,1,0,-349933500,-2519715600000] 4 [138969:51240330:1] 24150p5 [1,1,0,-349731000,-2522777197500] 4 [23571:1514736:1] 24150p6 [1,1,0,-5598936000,-161254800202500] 2 [3993663:1277792410:27]
24150q (2 curves)	1	2+ 3+ 5- 7+ 23-	2+ 3+ 5- 7+  0  0  0 -2
Curve Equation t Generators 24150q1 [1,1,0,-98325,982125] 2 [-170:14085:8] 24150q2 [1,1,0,391675,8332125] 2 [10:3495:1]
24150r (2 curves)	1	2+ 3+ 5- 7+ 23-	2+ 3+ 5- 7+ -4  0  0  6
Curve Equation t Generators 24150r1 [1,1,0,-68575,6197125] 2 [-15:2695:1] 24150r2 [1,1,0,91425,30997125] 2 [-66:5001:1]
24150s (1 curve)	1	2+ 3+ 5- 7- 23+	2+ 3+ 5- 7- -1 -2 -6  5
Curve Equation t Generators 24150s1 [1,1,0,-100,400] 1 [0:20:1]
24150t (2 curves)	1	2+ 3+ 5- 7- 23+	2+ 3+ 5- 7- -4 -4  2  2
Curve Equation t Generators 24150t1 [1,1,0,-3950,16500] 2 [-65:95:1] 24150t2 [1,1,0,-38950,-2958500] 2 [-121:95:1]
24150u (2 curves)	2	2+ 3+ 5- 7- 23-	2+ 3+ 5- 7- -4 -4 -4 -2
Curve Equation t Generators 24150u1 [1,1,0,-345,2325] 2 [-170:285:8]&[-10:75:1] 24150u2 [1,1,0,-245,3825] 2 [5:50:1]&[-16:71:1]
24150v (1 curve)	0	2+ 3- 5+ 7+ 23+	2+ 3- 5+ 7+  0  1 -4  4
Curve Equation t 24150v1 [1,0,1,-15376,-737602] 1
24150w (1 curve)	0	2+ 3- 5+ 7+ 23+	2+ 3- 5+ 7+  0 -3  5 -8
Curve Equation t 24150w1 [1,0,1,-87826,21504548] 1
24150x (4 curves)	0	2+ 3- 5+ 7+ 23+	2+ 3- 5+ 7+  0  6  6  4
Curve Equation t 24150x1 [1,0,1,7209499,13542461648] 2 24150x2 [1,0,1,-60502501,151268669648] 4 24150x3 [1,0,1,-281394501,-1675508170352] 2 24150x4 [1,0,1,-923002501,10792793669648] 2
24150y (2 curves)	0	2+ 3- 5+ 7+ 23+	2+ 3- 5+ 7+  0 -6 -4  4
Curve Equation t 24150y1 [1,0,1,-2807151,1810049698] 2 24150y2 [1,0,1,-2800151,1819527698] 2
24150z (2 curves)	2	2+ 3- 5+ 7+ 23+	2+ 3- 5+ 7+ -6  0 -6 -8
Curve Equation t Generators 24150z1 [1,0,1,-6126,175648] 2 [-88:231:1]&[-43:621:1] 24150z2 [1,0,1,3874,695648] 2 [57:-1079:1]&[-63:481:1]
24150ba (4 curves)	1	2+ 3- 5+ 7+ 23-	2+ 3- 5+ 7+  0 -2  2 -4
Curve Equation t Generators 24150ba1 [1,0,1,-27401,-1296052] 2 [-108:691:1] 24150ba2 [1,0,1,-155401,22511948] 4 [-338:6206:1] 24150ba3 [1,0,1,96599,88535948] 2 [-242:7262:1] 24150ba4 [1,0,1,-2455401,1480711948] 2 [722:8826:1]
24150bb (1 curve)	1	2+ 3- 5+ 7+ 23-	2+ 3- 5+ 7+  3 -2  2  5
Curve Equation t Generators 24150bb1 [1,0,1,34,-52] 1 [3:7:1]
24150bc (6 curves)	1	2+ 3- 5+ 7+ 23-	2+ 3- 5+ 7+ -4  2  6  4
Curve Equation t Generators 24150bc1 [1,0,1,3149,139598] 2 [-8:341:1] 24150bc2 [1,0,1,-28851,1611598] 4 [-118:1896:1] 24150bc3 [1,0,1,-126851,-15832402] 4 [-237:1084:1] 24150bc4 [1,0,1,-442851,113391598] 2 [392:66:1] 24150bc5 [1,0,1,156649,-76501402] 2 [438:8509:1] 24150bc6 [1,0,1,-1978351,-1071187402] 2 [-812:509:1]
24150bd (4 curves)	1	2+ 3- 5+ 7+ 23-	2+ 3- 5+ 7+ -4  2 -6 -4
Curve Equation t Generators 24150bd1 [1,0,1,724,-17302] 2 [242:3666:1] 24150bd2 [1,0,1,-7276,-209302] 4 [-38:131:1] 24150bd3 [1,0,1,-30276,1814698] 2 [-58:1866:1] 24150bd4 [1,0,1,-112276,-14489302] 2 [996:28861:1]
24150be (4 curves)	1	2+ 3- 5+ 7- 23+	2+ 3- 5+ 7-  0 -2 -2 -4
Curve Equation t Generators 24150be1 [1,0,1,-17251,936398] 2 [72:226:1] 24150be2 [1,0,1,-281751,57539398] 4 [332:-954:1] 24150be3 [1,0,1,-287501,55066898] 2 [42:6541:1] 24150be4 [1,0,1,-4508001,3683661898] 2 [1228:-478:1]
24150bf (2 curves)	1	2+ 3- 5+ 7- 23+	2+ 3- 5+ 7-  0 -2  4  8
Curve Equation t Generators 24150bf1 [1,0,1,-129126,-17857352] 2 [-208:216:1] 24150bf2 [1,0,1,-101126,-25809352] 2 [912:24856:1]
24150bg (2 curves)	1	2+ 3- 5+ 7- 23+	2+ 3- 5+ 7- -2  0 -2  0
Curve Equation t Generators 24150bg1 [1,0,1,-26955526,53864383448] 2 [3061:-7579:1] 24150bg2 [1,0,1,-26915526,54032223448] 2 [4637:-172419:1]
24150bh (2 curves)	0	2+ 3- 5+ 7- 23-	2+ 3- 5+ 7- -2  6 -4 -2
Curve Equation t 24150bh1 [1,0,1,-7501,104648] 2 24150bh2 [1,0,1,-99501,12064648] 2
24150bi (2 curves)	1	2+ 3- 5- 7+ 23+	2+ 3- 5- 7+  4  4 -2 -2
Curve Equation t Generators 24150bi1 [1,0,1,-5296,115838] 2 [12:226:1] 24150bi2 [1,0,1,-27696,-1676162] 2 [-2364:8779:27]
24150bj (2 curves)	1	2+ 3- 5- 7+ 23+	2+ 3- 5- 7+ -6 -6  0  6
Curve Equation t Generators 24150bj1 [1,0,1,-217701,-32491952] 2 [-298:2586:1] 24150bj2 [1,0,1,422299,-187371952] 2 [627:17686:1]
24150bk (2 curves)	0	2+ 3- 5- 7+ 23-	2+ 3- 5- 7+  2 -2  4  2
Curve Equation t 24150bk1 [1,0,1,-30848296,-62449325962] 2 24150bk2 [1,0,1,23321304,-258326599562] 2
24150bl (4 curves)	0	2- 3+ 5+ 7+ 23+	2- 3+ 5+ 7+  0  4  0  2
Curve Equation t 24150bl1 [1,1,1,-3178088,2334258281] 2 24150bl2 [1,1,1,-51846088,143666130281] 2 24150bl3 [1,1,1,18841537,94207781] 2 24150bl4 [1,1,1,-75366463,659455781] 2
24150bm (2 curves)	0	2- 3+ 5+ 7+ 23+	2- 3+ 5+ 7+  2  2  0 -6
Curve Equation t 24150bm1 [1,1,1,-4813,-127969] 2 24150bm2 [1,1,1,-10563,228531] 2
24150bn (4 curves)	0	2- 3+ 5+ 7+ 23+	2- 3+ 5+ 7+ -4  2  6  0
Curve Equation t 24150bn1 [1,1,1,-5505063,4969250781] 4 24150bn2 [1,1,1,-5537063,4908514781] 4 24150bn3 [1,1,1,712937,15371014781] 2 24150bn4 [1,1,1,-12299063,-9440449219] 2
24150bo (4 curves)	0	2- 3+ 5+ 7+ 23+	2- 3+ 5+ 7+  6 -2  6  2
Curve Equation t 24150bo1 [1,1,1,116112,107299281] 2 24150bo2 [1,1,1,-2799888,1716931281] 2 24150bo3 [1,1,1,-1048263,-2947089219] 2 24150bo4 [1,1,1,-37912263,-89430033219] 2
24150bp (4 curves)	1	2- 3+ 5+ 7+ 23-	2- 3+ 5+ 7+  0 -2  0 -4
Curve Equation t Generators 24150bp1 [1,1,1,-40313,3098531] 2 [910:-209:8] 24150bp2 [1,1,1,-38563,3382031] 2 [3150:54671:8] 24150bp3 [1,1,1,-72188,-2485219] 2 [-55:1177:1] 24150bp4 [1,1,1,270812,-18949219] 2 [155:5097:1]
24150bq (2 curves)	1	2- 3+ 5+ 7+ 23-	2- 3+ 5+ 7+ -2 -4  6 -4
Curve Equation t Generators 24150bq1 [1,1,1,-588,2781] 2 [-5:77:1] 24150bq2 [1,1,1,1912,22781] 2 [29:-337:1]
24150br (2 curves)	1	2- 3+ 5+ 7- 23+	2- 3+ 5+ 7- -2  6 -2 -6
Curve Equation t Generators 24150br1 [1,1,1,-13,14531] 2 [11:-132:1] 24150br2 [1,1,1,-9013,320531] 2 [89:-528:1]
24150bs (4 curves)	1	2- 3+ 5+ 7- 23+	2- 3+ 5+ 7-  4 -2  6 -4
Curve Equation t Generators 24150bs1 [1,1,1,-8838,-323469] 2 [201:2363:1] 24150bs2 [1,1,1,-9338,-285469] 4 [-530:2011:8] 24150bs3 [1,1,1,19412,-1665469] 2 [942:11579:8] 24150bs4 [1,1,1,-46088,3536531] 2 [6190:163151:8]
24150bt (4 curves)	1	2- 3+ 5+ 7- 23+	2- 3+ 5+ 7-  4 -6 -2  0
Curve Equation t Generators 24150bt1 [1,1,1,-85228938,-264087492969] 4 [-3831:80763:1] 24150bt2 [1,1,1,-1314540938,-18344808388969] 4 [-20981:-4987:1] 24150bt3 [1,1,1,-1265540938,-19775412388969] 2 [121588875423895:-66585894269427249:400315553] 24150bt4 [1,1,1,-21032532938,-1174055755492969] 2 [-25183243703:12584374919:300763]
24150bu (2 curves)	0	2- 3+ 5+ 7- 23-	2- 3+ 5+ 7-  0  2  0  0
Curve Equation t 24150bu1 [1,1,1,-7185213,4657416531] 2 24150bu2 [1,1,1,21486787,32583944531] 2
24150bv (2 curves)	0	2- 3+ 5+ 7- 23-	2- 3+ 5+ 7- -4 -4  4  2
Curve Equation t 24150bv1 [1,1,1,437,-10219] 2 24150bv2 [1,1,1,-5313,-136719] 2
24150bw (2 curves)	0	2- 3+ 5+ 7- 23-	2- 3+ 5+ 7-  6  2  0  6
Curve Equation t 24150bw1 [1,1,1,-1588,-22219] 2 24150bw2 [1,1,1,-24588,-1494219] 2
24150bx (2 curves)	0	2- 3+ 5- 7- 23+	2- 3+ 5- 7-  2  2 -4  2
Curve Equation t 24150bx1 [1,1,1,-771207388,-7806165745219] 2 24150bx2 [1,1,1,583032612,-32290824945219] 2
24150by (1 curve)	0	2- 3+ 5- 7- 23+	2- 3+ 5- 7-  3  2 -2  5
Curve Equation t 24150by1 [1,1,1,862,-6469] 1
24150bz (1 curve)	1	2- 3+ 5- 7- 23-	2- 3+ 5- 7-  0  3 -5 -8
Curve Equation t Generators 24150bz1 [1,1,1,-3513,170631] 1 [25:302:1]
24150ca (2 curves)	1	2- 3+ 5- 7- 23-	2- 3+ 5- 7-  4 -4  2 -2
Curve Equation t Generators 24150ca1 [1,1,1,-132388,14479781] 2 [61:2545:1] 24150ca2 [1,1,1,-692388,-209520219] 2 [-439:3393:1]
24150cb (2 curves)	1	2- 3+ 5- 7- 23-	2- 3+ 5- 7- -6  6  0  6
Curve Equation t Generators 24150cb1 [1,1,1,-8708,-263419] 2 [-55:257:1] 24150cb2 [1,1,1,16892,-1492219] 2 [109:1233:1]
24150cc (2 curves)	1	2- 3- 5+ 7+ 23+	2- 3- 5+ 7+  0  0 -4 -2
Curve Equation t Generators 24150cc1 [1,0,0,-713,-44583] 2 [88:715:1] 24150cc2 [1,0,0,-23713,-1401583] 2 [-88:119:1]
24150cd (2 curves)	1	2- 3- 5+ 7+ 23+	2- 3- 5+ 7+  2 -2 -2 -2
Curve Equation t Generators 24150cd1 [1,0,0,437,-883] 2 [166:967:8] 24150cd2 [1,0,0,-1813,-7633] 2 [358:115:8]
24150ce (2 curves)	1	2- 3- 5+ 7+ 23+	2- 3- 5+ 7+ -4  4  4 -2
Curve Equation t Generators 24150ce1 [1,0,0,-368613,105353217] 2 [882:-22041:1] 24150ce2 [1,0,0,-6256613,6022793217] 2 [3562:-171881:1]
24150cf (1 curve)	0	2- 3- 5+ 7+ 23-	2- 3- 5+ 7+ -1  2  6  5
Curve Equation t 24150cf1 [1,0,0,-2513,55017] 1
24150cg (2 curves)	0	2- 3- 5+ 7+ 23-	2- 3- 5+ 7+  2  2  0 -2
Curve Equation t 24150cg1 [1,0,0,-137438,-19496508] 2 24150cg2 [1,0,0,-229438,9851492] 2
24150ch (2 curves)	0	2- 3- 5+ 7+ 23-	2- 3- 5+ 7+ -2  6  0  6
Curve Equation t 24150ch1 [1,0,0,-12688,-549508] 2 24150ch2 [1,0,0,-18438,-3258] 2
24150ci (1 curve)	0	2- 3- 5+ 7+ 23-	2- 3- 5+ 7+  4 -3  0  0
Curve Equation t 24150ci1 [1,0,0,-128288,-17783808] 1
24150cj (2 curves)	0	2- 3- 5+ 7+ 23-	2- 3- 5+ 7+ -4  2  0 -4
Curve Equation t 24150cj1 [1,0,0,-94372838,-352711119708] 2 24150cj2 [1,0,0,-77565838,-482309896708] 2
24150ck (4 curves)	0	2- 3- 5+ 7- 23+	2- 3- 5+ 7-  4 -6 -2  0
Curve Equation t 24150ck1 [1,0,0,-1418088,-650102208] 2 24150ck2 [1,0,0,-1426088,-642398208] 4 24150ck3 [1,0,0,160912,-1992935208] 2 24150ck4 [1,0,0,-3141088,1201226792] 2
24150cl (4 curves)	1	2- 3- 5+ 7- 23-	2- 3- 5+ 7-  0  2 -6 -4
Curve Equation t Generators 24150cl1 [1,0,0,-287588,-49460208] 2 [-224:2044:1] 24150cl2 [1,0,0,-1345588,554657792] 4 [-838:33494:1] 24150cl3 [1,0,0,1448912,2558314292] 2 [-424:43430:1] 24150cl4 [1,0,0,-21068088,37218785292] 2 [2676:930:1]
24150cm (2 curves)	1	2- 3- 5+ 7- 23-	2- 3- 5+ 7-  0 -4  0  6
Curve Equation t Generators 24150cm1 [1,0,0,8337,677817] 2 [42:-1071:1] 24150cm2 [1,0,0,-83663,8129817] 2 [352:-4901:1]
24150cn (2 curves)	1	2- 3- 5+ 7- 23-	2- 3- 5+ 7-  2 -4 -6 -4
Curve Equation t Generators 24150cn1 [1,0,0,-2984688,1984372992] 2 [672:16464:1] 24150cn2 [1,0,0,-2824688,2206612992] 2 [142:42454:1]
24150co (2 curves)	0	2- 3- 5- 7+ 23+	2- 3- 5- 7+ -4  4  4 -2
Curve Equation t 24150co1 [1,0,0,-8638,307892] 2 24150co2 [1,0,0,-6138,490392] 2
24150cp (2 curves)	1	2- 3- 5- 7+ 23-	2- 3- 5- 7+ -4  4 -2  2
Curve Equation t Generators 24150cp1 [1,0,0,-158,132] 2 [-8:34:1] 24150cp2 [1,0,0,-1558,-23668] 2 [-22:20:1]
24150cq (2 curves)	1	2- 3- 5- 7- 23+	2- 3- 5- 7-  0  0  0 -2
Curve Equation t Generators 24150cq1 [1,0,0,-3933,7857] 2 [72:-351:1] 24150cq2 [1,0,0,15667,66657] 2 [16:-575:1]
24150cr (2 curves)	1	2- 3- 5- 7- 23+	2- 3- 5- 7- -4  0  0  6
Curve Equation t Generators 24150cr1 [1,0,0,-2743,49577] 2 [2:209:1] 24150cr2 [1,0,0,3657,247977] 2 [-18:-411:1]
24150cs (1 curve)	0	2- 3- 5- 7- 23-	2- 3- 5- 7-  0 -1 -1  0
Curve Equation t 24150cs1 [1,0,0,-888,-11358] 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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