Cremona's table of elliptic curves

74256 = 2⁴ · 3 · 7 · 13 · 17

Class	r	Atkin-Lehner	Eigenvalues
74256a (2 curves)	1	2+ 3+ 7+ 13+ 17+	2+ 3+  0 7+ -2 13+ 17+  4
Curve Equation t Generators 74256a1 [0,-1,0,77,-3626] 2 [210:3038:1] 74256a2 [0,-1,0,-3108,-63504] 2 [-28:28:1]
74256b (2 curves)	1	2+ 3+ 7+ 13+ 17+	2+ 3+  0 7+ -4 13+ 17+ -4
Curve Equation t Generators 74256b1 [0,-1,0,-59788,5387968] 2 [22105:70044:125] 74256b2 [0,-1,0,38472,21266784] 2 [94:5070:1]
74256c (1 curve)	1	2+ 3+ 7+ 13+ 17+	2+ 3+ -1 7+  2 13+ 17+ -7
Curve Equation t Generators 74256c1 [0,-1,0,-3052876,1094260459] 1 [-664415672562609:41371459874325689:741954991877]
74256d (1 curve)	0	2+ 3+ 7+ 13+ 17-	2+ 3+  0 7+  2 13+ 17- -5
Curve Equation t 74256d1 [0,-1,0,-34328,2462544] 1
74256e (1 curve)	0	2+ 3+ 7+ 13+ 17-	2+ 3+  3 7+ -4 13+ 17- -2
Curve Equation t 74256e1 [0,-1,0,-24344,-1454064] 1
74256f (1 curve)	0	2+ 3+ 7+ 13+ 17-	2+ 3+ -3 7+  6 13+ 17-  1
Curve Equation t 74256f1 [0,-1,0,-952,-10829] 1
74256g (2 curves)	2	2+ 3+ 7+ 13- 17+	2+ 3+ -2 7+ -6 13- 17+  0
Curve Equation t Generators 74256g1 [0,-1,0,-202384,35111440] 2 [262:54:1]&[-28:6384:1] 74256g2 [0,-1,0,-201864,35300304] 2 [-94:7310:1]&[210:-1458:1]
74256h (1 curve)	0	2+ 3+ 7+ 13- 17+	2+ 3+ -3 7+  6 13- 17+  5
Curve Equation t 74256h1 [0,-1,0,-103017,-12988251] 1
74256i (1 curve)	1	2+ 3+ 7+ 13- 17-	2+ 3+  1 7+  0 13- 17-  3
Curve Equation t Generators 74256i1 [0,-1,0,-260,-1521] 1 [-9:3:1]
74256j (1 curve)	1	2+ 3+ 7+ 13- 17-	2+ 3+  1 7+  6 13- 17- -3
Curve Equation t Generators 74256j1 [0,-1,0,-25760,211239] 1 [-5:583:1]
74256k (4 curves)	1	2+ 3+ 7+ 13- 17-	2+ 3+ -2 7+  0 13- 17-  0
Curve Equation t Generators 74256k1 [0,-1,0,-1759199,-897504582] 2 [1682:29988:1] 74256k2 [0,-1,0,-1772204,-883547616] 4 [-676:2256:1] 74256k3 [0,-1,0,468736,-2968518192] 2 [36673:-7023868:1] 74256k4 [0,-1,0,-4221224,2094460704] 4 [120004:-1774015:64]
74256l (1 curve)	0	2+ 3+ 7- 13+ 17+	2+ 3+  1 7-  0 13+ 17+  1
Curve Equation t 74256l1 [0,-1,0,-40,-77] 1
74256m (1 curve)	1	2+ 3+ 7- 13+ 17-	2+ 3+  0 7-  2 13+ 17-  5
Curve Equation t Generators 74256m1 [0,-1,0,-16155088,-24987258464] 1 [6612:396508:1]
74256n (2 curves)	1	2+ 3+ 7- 13+ 17-	2+ 3+  0 7- -4 13+ 17- -4
Curve Equation t Generators 74256n1 [0,-1,0,-68,0] 2 [9:6:1] 74256n2 [0,-1,0,272,-272] 2 [14:78:1]
74256o (1 curve)	1	2+ 3+ 7- 13+ 17-	2+ 3+ -1 7- -6 13+ 17- -5
Curve Equation t Generators 74256o1 [0,-1,0,-476,-2601] 1 [-17:17:1]
74256p (4 curves)	1	2+ 3+ 7- 13- 17+	2+ 3+  2 7-  0 13- 17+ -4
Curve Equation t Generators 74256p1 [0,-1,0,-38487,-427230] 2 [66358770996:2353571950015:51478848] 74256p2 [0,-1,0,-456092,-118191840] 4 [139035:9885590:27] 74256p3 [0,-1,0,-300032,-200466672] 4 [20526:2939586:1] 74256p4 [0,-1,0,-7293832,-7579533728] 2 [24537892665:1526905404674:4492125]
74256q (4 curves)	1	2+ 3+ 7- 13- 17+	2+ 3+ -2 7-  0 13- 17+  0
Curve Equation t Generators 74256q1 [0,-1,0,156,-672] 2 [8:32:1] 74256q2 [0,-1,0,-824,-5376] 4 [-20:52:1] 74256q3 [0,-1,0,-5584,158368] 2 [-68:468:1] 74256q4 [0,-1,0,-11744,-485856] 2 [-62:10:1]
74256r (1 curve)	1	2+ 3+ 7- 13- 17+	2+ 3+ -3 7-  2 13- 17+ -1
Curve Equation t Generators 74256r1 [0,-1,0,-252,-81] 1 [-1:13:1]
74256s (4 curves)	0	2+ 3+ 7- 13- 17-	2+ 3+  2 7-  0 13- 17-  4
Curve Equation t 74256s1 [0,-1,0,-20306007,35165514798] 2 74256s2 [0,-1,0,-324740052,2252541324960] 4 74256s3 [0,-1,0,-324583992,2254814307648] 4 74256s4 [0,-1,0,-5195840832,144157449247920] 2
74256t (4 curves)	0	2+ 3+ 7- 13- 17-	2+ 3+ -2 7-  0 13- 17- -4
Curve Equation t 74256t1 [0,-1,0,-202644,-35043840] 2 74256t2 [0,-1,0,-206024,-33810816] 4 74256t3 [0,-1,0,173056,-144502176] 4 74256t4 [0,-1,0,-639184,155740000] 2
74256u (1 curve)	0	2+ 3- 7+ 13+ 17+	2+ 3-  3 7+  2 13+ 17+  7
Curve Equation t 74256u1 [0,1,0,-53184,4703139] 1
74256v (2 curves)	1	2+ 3- 7+ 13+ 17-	2+ 3-  0 7+ -6 13+ 17- -4
Curve Equation t Generators 74256v1 [0,1,0,-7803,0] 2 [-102:2499:8] 74256v2 [0,1,0,31212,31212] 2 [51:1326:1]
74256w (1 curve)	1	2+ 3- 7+ 13+ 17-	2+ 3-  1 7+  0 13+ 17-  5
Curve Equation t Generators 74256w1 [0,1,0,-10200,-387549] 1 [-51:51:1]
74256x (1 curve)	1	2+ 3- 7+ 13- 17+	2+ 3-  1 7+ -2 13- 17+  5
Curve Equation t Generators 74256x1 [0,1,0,-5465,984627] 1 [1178:14739:8]
74256y (4 curves)	1	2+ 3- 7+ 13- 17+	2+ 3-  2 7+  4 13- 17+  4
Curve Equation t Generators 74256y1 [0,1,0,273,-5148] 2 [4380:27576:125] 74256y2 [0,1,0,-3372,-69300] 4 [150:1680:1] 74256y3 [0,1,0,-12552,463140] 2 [96:390:1] 74256y4 [0,1,0,-52512,-4649148] 2 [267:660:1]
74256z (1 curve)	1	2+ 3- 7+ 13- 17+	2+ 3-  3 7+ -2 13- 17+ -5
Curve Equation t Generators 74256z1 [0,1,0,-1374464,-390898161] 1 [-455:11853:1]
74256ba (1 curve)	1	2+ 3- 7+ 13- 17+	2+ 3- -4 7+ -2 13- 17+ -5
Curve Equation t Generators 74256ba1 [0,1,0,-10080,4250964] 1 [14:2028:1]
74256bb (1 curve)	0	2+ 3- 7+ 13- 17-	2+ 3-  1 7+ -2 13- 17-  1
Curve Equation t 74256bb1 [0,1,0,366855,125738451] 1
74256bc (1 curve)	0	2+ 3- 7+ 13- 17-	2+ 3-  1 7+ -2 13- 17-  7
Curve Equation t 74256bc1 [0,1,0,-460,3647] 1
74256bd (4 curves)	0	2+ 3- 7+ 13- 17-	2+ 3-  2 7+ -4 13- 17-  0
Curve Equation t 74256bd1 [0,1,0,-2007,-35028] 2 74256bd2 [0,1,0,-3452,20460] 4 74256bd3 [0,1,0,13208,173732] 4 74256bd4 [0,1,0,-43232,3441540] 2
74256be (4 curves)	2	2+ 3- 7+ 13- 17-	2+ 3- -2 7+  0 13- 17- -4
Curve Equation t Generators 74256be1 [0,1,0,-2724,-54468] 2 [83:-546:1]&[66:240:1] 74256be2 [0,1,0,-6104,103716] 4 [-80:294:1]&[-54:528:1] 74256be3 [0,1,0,19376,766196] 4 [-28:450:1]&[-10:756:1] 74256be4 [0,1,0,-85664,9619092] 2 [172:54:1]&[196:630:1]
74256bf (1 curve)	1	2+ 3- 7- 13- 17-	2+ 3- -1 7- -4 13- 17- -1
Curve Equation t Generators 74256bf1 [0,1,0,-90916,10512803] 1 [161:273:1]
74256bg (1 curve)	1	2+ 3- 7- 13- 17-	2+ 3-  3 7- -2 13- 17- -3
Curve Equation t Generators 74256bg1 [0,1,0,-124,479] 1 [5:3:1]
74256bh (1 curve)	0	2- 3+ 7+ 13+ 17+	2- 3+ -1 7+  0 13+ 17+  6
Curve Equation t 74256bh1 [0,-1,0,-532176,-150257088] 1
74256bi (2 curves)	0	2- 3+ 7+ 13+ 17+	2- 3+  2 7+ -2 13+ 17+ -8
Curve Equation t 74256bi1 [0,-1,0,-255127712,1086961972992] 2 74256bi2 [0,-1,0,695382368,7282006470400] 2
74256bj (1 curve)	0	2- 3+ 7+ 13+ 17+	2- 3+  3 7+  6 13+ 17+  1
Curve Equation t 74256bj1 [0,-1,0,-229,19597] 1
74256bk (2 curves)	0	2- 3+ 7+ 13+ 17+	2- 3+  4 7+ -4 13+ 17+  0
Curve Equation t 74256bk1 [0,-1,0,-4096,99328] 2 74256bk2 [0,-1,0,1344,338688] 2
74256bl (1 curve)	0	2- 3+ 7+ 13+ 17+	2- 3+ -4 7+ -2 13+ 17+ -5
Curve Equation t 74256bl1 [0,-1,0,-178480,29313856] 1
74256bm (1 curve)	1	2- 3+ 7+ 13+ 17-	2- 3+ -1 7+ -2 13+ 17- -5
Curve Equation t Generators 74256bm1 [0,-1,0,-1106,-12453] 1 [-23:17:1]
74256bn (4 curves)	1	2- 3+ 7+ 13- 17+	2- 3+  0 7+  0 13- 17+ -2
Curve Equation t Generators 74256bn1 [0,-1,0,-31753,-2021840] 2 [-96:364:1] 74256bn2 [0,-1,0,30212,-9011492] 2 [369:7228:1] 74256bn3 [0,-1,0,-495073,133827796] 2 [34980:517244:125] 74256bn4 [0,-1,0,-273988,253744300] 2 [12103730340:-347620206227:17576000]
74256bo (2 curves)	1	2- 3+ 7+ 13- 17+	2- 3+  0 7+  6 13- 17+  1
Curve Equation t Generators 74256bo1 [0,-1,0,632,-1424] 1 [12:88:1] 74256bo2 [0,-1,0,-7768,296944] 1 [60:208:1]
74256bp (1 curve)	1	2- 3+ 7+ 13- 17+	2- 3+  1 7+  2 13- 17+  7
Curve Equation t Generators 74256bp1 [0,-1,0,-390,-2817] 1 [-3913:1427:343]
74256bq (2 curves)	1	2- 3+ 7+ 13- 17+	2- 3+ -2 7+  2 13- 17+ -8
Curve Equation t Generators 74256bq1 [0,-1,0,-208710104,-1160479007760] 2 [-275857812372:-1463791616:33076161] 74256bq2 [0,-1,0,-208576984,-1162033423376] 2 [86406355846650:-49326794348019391:264609288]
74256br (4 curves)	1	2- 3+ 7+ 13- 17+	2- 3+ -2 7+ -4 13- 17+  4
Curve Equation t Generators 74256br1 [0,-1,0,-824,18288] 2 [13:98:1] 74256br2 [0,-1,0,-16504,821104] 4 [34:546:1] 74256br3 [0,-1,0,-19864,466288] 2 [18:338:1] 74256br4 [0,-1,0,-264024,52305264] 2 [298:30:1]
74256bs (2 curves)	1	2- 3+ 7+ 13- 17+	2- 3+ -3 7+  0 13- 17+  1
Curve Equation t Generators 74256bs1 [0,-1,0,-722,999] 1 [-27:9:1] 74256bs2 [0,-1,0,-42302,3362931] 1 [117:39:1]
74256bt (2 curves)	1	2- 3+ 7+ 13- 17+	2- 3+ -3 7+  0 13- 17+ -2
Curve Equation t Generators 74256bt1 [0,-1,0,1650488,-1141047824] 1 [72770:511758:125] 74256bt2 [0,-1,0,-15787192,43406007664] 1 [-602230:10906758:125]
74256bu (1 curve)	0	2- 3+ 7+ 13- 17-	2- 3+ -1 7+  2 13- 17- -5
Curve Equation t 74256bu1 [0,-1,0,-163766,25516419] 1
74256bv (4 curves)	0	2- 3+ 7+ 13- 17-	2- 3+  2 7+ -4 13- 17-  4
Curve Equation t 74256bv1 [0,-1,0,-2912,-26880] 2 74256bv2 [0,-1,0,-23392,1365760] 4 74256bv3 [0,-1,0,-1632,3785472] 2 74256bv4 [0,-1,0,-372832,87747328] 4
74256bw (2 curves)	0	2- 3+ 7+ 13- 17-	2- 3+ -4 7+  4 13- 17-  0
Curve Equation t 74256bw1 [0,-1,0,-7280,-236544] 2 74256bw2 [0,-1,0,-5920,-329024] 2
74256bx (1 curve)	1	2- 3+ 7- 13+ 17+	2- 3+  1 7-  4 13+ 17+ -6
Curve Equation t Generators 74256bx1 [0,-1,0,9240,-64656] 1 [186:2838:1]
74256by (2 curves)	1	2- 3+ 7- 13+ 17+	2- 3+ -2 7- -2 13+ 17+ -6
Curve Equation t Generators 74256by1 [0,-1,0,-1589,-13332] 2 [-24:102:1] 74256by2 [0,-1,0,-22244,-1269156] 2 [-678:87:8]
74256bz (1 curve)	1	2- 3+ 7- 13+ 17+	2- 3+  3 7-  2 13+ 17+  1
Curve Equation t Generators 74256bz1 [0,-1,0,-282114,57613167] 1 [269:1057:1]
74256ca (2 curves)	0	2- 3+ 7- 13+ 17-	2- 3+  0 7- -4 13+ 17- -8
Curve Equation t 74256ca1 [0,-1,0,-3157768,2154381040] 2 74256ca2 [0,-1,0,-1765128,4063969008] 2
74256cb (4 curves)	0	2- 3+ 7- 13+ 17-	2- 3+ -2 7-  0 13+ 17-  4
Curve Equation t 74256cb1 [0,-1,0,-13944,-629136] 2 74256cb2 [0,-1,0,-14264,-598416] 4 74256cb3 [0,-1,0,15976,-2824080] 2 74256cb4 [0,-1,0,-49624,3588208] 2
74256cc (4 curves)	2	2- 3+ 7- 13+ 17-	2- 3+ -2 7-  0 13+ 17- -8
Curve Equation t Generators 74256cc1 [0,-1,0,4976,40384] 2 [24:-416:1]&[570:13702:1] 74256cc2 [0,-1,0,-20944,351424] 4 [-136:816:1]&[-102:1190:1] 74256cc3 [0,-1,0,-192304,-32138432] 2 [-262:438:1]&[-246:470:1] 74256cc4 [0,-1,0,-264304,52333120] 4 [-542:6006:1]&[-528:6664:1]
74256cd (2 curves)	0	2- 3+ 7- 13- 17+	2- 3+  0 7-  4 13- 17+  6
Curve Equation t 74256cd1 [0,-1,0,-17193,873468] 2 74256cd2 [0,-1,0,-17108,882444] 2
74256ce (2 curves)	0	2- 3+ 7- 13- 17+	2- 3+  0 7- -4 13- 17+  8
Curve Equation t 74256ce1 [0,-1,0,-728,-6864] 2 74256ce2 [0,-1,0,632,-30800] 2
74256cf (2 curves)	1	2- 3+ 7- 13- 17-	2- 3+  2 7- -4 13- 17-  2
Curve Equation t Generators 74256cf1 [0,-1,0,-1177,15940] 2 [-276:4420:27] 74256cf2 [0,-1,0,-1092,18252] 2 [13:78:1]
74256cg (1 curve)	1	2- 3+ 7- 13- 17-	2- 3+  3 7-  0 13- 17- -6
Curve Equation t Generators 74256cg1 [0,-1,0,216,3312] 1 [-6:42:1]
74256ch (1 curve)	1	2- 3+ 7- 13- 17-	2- 3+ -3 7- -2 13- 17- -1
Curve Equation t Generators 74256ch1 [0,-1,0,-46597,3887149] 1 [148:459:1]
74256ci (1 curve)	1	2- 3+ 7- 13- 17-	2- 3+ -3 7-  6 13- 17- -3
Curve Equation t Generators 74256ci1 [0,-1,0,-775762,-262731881] 1 [-40361649:1273867:79507]
74256cj (1 curve)	1	2- 3- 7+ 13+ 17+	2- 3-  0 7+ -2 13+ 17+  5
Curve Equation t Generators 74256cj1 [0,1,0,-2993128,-2972357836] 1 [2318:50496:1]
74256ck (1 curve)	1	2- 3- 7+ 13+ 17+	2- 3-  1 7+ -4 13+ 17+  7
Curve Equation t Generators 74256ck1 [0,1,0,-404810,95168931] 1 [1713:225487:27]
74256cl (1 curve)	1	2- 3- 7+ 13+ 17+	2- 3- -3 7+ -2 13+ 17+ -7
Curve Equation t Generators 74256cl1 [0,1,0,-42,39] 1 [-1:9:1]
74256cm (4 curves)	0	2- 3- 7+ 13+ 17-	2- 3-  2 7+  4 13+ 17-  4
Curve Equation t 74256cm1 [0,1,0,-1821912,876053268] 2 74256cm2 [0,1,0,-28548632,58701984660] 4 74256cm3 [0,1,0,-27947512,61292811860] 2 74256cm4 [0,1,0,-456777272,3757398394068] 2
74256cn (4 curves)	0	2- 3- 7+ 13+ 17-	2- 3- -2 7+ -4 13+ 17- -4
Curve Equation t 74256cn1 [0,1,0,-114024,8327220] 2 74256cn2 [0,1,0,-1593704,773617716] 4 74256cn3 [0,1,0,-1365224,1003468596] 2 74256cn4 [0,1,0,-25497064,49546033460] 2
74256co (1 curve)	0	2- 3- 7+ 13+ 17-	2- 3-  4 7+  2 13+ 17- -7
Curve Equation t 74256co1 [0,1,0,15584,1493492] 1
74256cp (1 curve)	0	2- 3- 7+ 13- 17+	2- 3-  1 7+ -6 13- 17+ -3
Curve Equation t 74256cp1 [0,1,0,-20524210,35779688627] 1
74256cq (2 curves)	2	2- 3- 7+ 13- 17+	2- 3- -2 7+ -2 13- 17+  0
Curve Equation t Generators 74256cq1 [0,1,0,-178984,27111860] 2 [-460:3510:1]&[398:-4368:1] 74256cq2 [0,1,0,172536,120897396] 2 [996:-35802:1]&[-330:5304:1]
74256cr (2 curves)	0	2- 3- 7+ 13- 17+	2- 3-  4 7+  0 13- 17+  6
Curve Equation t 74256cr1 [0,1,0,-161,-318] 2 74256cr2 [0,1,0,604,-1848] 2
74256cs (1 curve)	1	2- 3- 7+ 13- 17-	2- 3-  0 7+  2 13- 17- -5
Curve Equation t Generators 74256cs1 [0,1,0,-25368,-1629036] 1 [23070:12288:125]
74256ct (2 curves)	0	2- 3- 7- 13+ 17+	2- 3-  0 7- -4 13+ 17+  0
Curve Equation t 74256ct1 [0,1,0,-138048,-19787724] 2 74256ct2 [0,1,0,-132608,-21413196] 2
74256cu (1 curve)	0	2- 3- 7- 13+ 17+	2- 3-  0 7-  6 13+ 17+ -5
Curve Equation t 74256cu1 [0,1,0,-1882928,2444463444] 1
74256cv (2 curves)	0	2- 3- 7- 13+ 17+	2- 3- -2 7-  2 13+ 17+ -2
Curve Equation t 74256cv1 [0,1,0,-229,-1390] 2 74256cv2 [0,1,0,-484,1976] 2
74256cw (1 curve)	0	2- 3- 7- 13+ 17+	2- 3-  3 7- -6 13+ 17+ -5
Curve Equation t 74256cw1 [0,1,0,-14,-21] 1
74256cx (1 curve)	1	2- 3- 7- 13+ 17-	2- 3-  3 7-  2 13+ 17- -1
Curve Equation t Generators 74256cx1 [0,1,0,51,-2601] 1 [15:42:1]
74256cy (1 curve)	1	2- 3- 7- 13- 17+	2- 3- -1 7- -2 13- 17+ -1
Curve Equation t Generators 74256cy1 [0,1,0,-25506,1547451] 1 [75:249:1]
74256cz (1 curve)	1	2- 3- 7- 13- 17+	2- 3- -1 7-  4 13- 17+  2
Curve Equation t Generators 74256cz1 [0,1,0,-176,36948] 1 [-14:192:1]
74256da (2 curves)	1	2- 3- 7- 13- 17+	2- 3- -2 7-  2 13- 17+  8
Curve Equation t Generators 74256da1 [0,1,0,-1944,-18540] 2 [-36:78:1] 74256da2 [0,1,0,6376,-128364] 2 [70:-816:1]
74256db (1 curve)	0	2- 3- 7- 13- 17-	2- 3-  1 7- -2 13- 17-  7
Curve Equation t 74256db1 [0,1,0,-364005,-122474349] 1
74256dc (4 curves)	0	2- 3- 7- 13- 17-	2- 3-  2 7- -4 13- 17- -4
Curve Equation t 74256dc1 [0,1,0,-1632,20148] 2 74256dc2 [0,1,0,-24752,1490580] 4 74256dc3 [0,1,0,-23392,1663028] 4 74256dc4 [0,1,0,-396032,95795700] 2
74256dd (6 curves)	0	2- 3- 7- 13- 17-	2- 3- -2 7-  4 13- 17-  4
Curve Equation t 74256dd1 [0,1,0,-26304,-1650828] 2 74256dd2 [0,1,0,-26384,-1640364] 4 74256dd3 [0,1,0,-4544,-4252428] 2 74256dd4 [0,1,0,-49504,1642676] 8 74256dd5 [0,1,0,180336,12766932] 4 74256dd6 [0,1,0,-649264,201002900] 4

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