Cremona's table of elliptic curves

29274 = 2 · 3 · 7 · 17 · 41

Class	r	Atkin-Lehner	Eigenvalues
29274a (2 curves)	1	2+ 3+ 7+ 17+ 41+	2+ 3+  0 7+ -4  4 17+  6
Curve Equation t Generators 29274a1 [1,1,0,-8900,-111408] 2 [-56:492:1] 29274a2 [1,1,0,-79460,8511024] 2 [185:338:1]
29274b (1 curve)	1	2+ 3+ 7+ 17+ 41+	2+ 3+  3 7+  3  1 17+  4
Curve Equation t Generators 29274b1 [1,1,0,-134031256,1081867953472] 1 [-182457740506882293386525675871:-11298350016908577499357613260565:14106675240446835403697283]
29274c (2 curves)	0	2+ 3+ 7+ 17+ 41-	2+ 3+  0 7+  0 -6 17+ -6
Curve Equation t 29274c1 [1,1,0,-1212570,-514440684] 2 29274c2 [1,1,0,-1209210,-517429068] 2
29274d (1 curve)	0	2+ 3+ 7+ 17+ 41-	2+ 3+  3 7+  3 -3 17+  0
Curve Equation t 29274d1 [1,1,0,1069,-723] 1
29274e (1 curve)	0	2+ 3+ 7+ 17- 41+	2+ 3+ -1 7+  0  7 17-  2
Curve Equation t 29274e1 [1,1,0,-2928,-63324] 1
29274f (1 curve)	1	2+ 3+ 7+ 17- 41-	2+ 3+ -2 7+ -3 -6 17-  3
Curve Equation t Generators 29274f1 [1,1,0,-96686,-12183684] 1 [361:168:1]
29274g (2 curves)	2	2+ 3+ 7- 17+ 41+	2+ 3+  0 7-  0 -4 17+ -6
Curve Equation t Generators 29274g1 [1,1,0,-765,-8343] 2 [-17:19:1]&[-16:19:1] 29274g2 [1,1,0,-1575,11259] 2 [-37:162:1]&[-9:162:1]
29274h (2 curves)	0	2+ 3+ 7- 17+ 41+	2+ 3+  2 7- -2  4 17+  0
Curve Equation t 29274h1 [1,1,0,-759,40005] 2 29274h2 [1,1,0,-22899,1319697] 2
29274i (2 curves)	1	2+ 3+ 7- 17+ 41-	2+ 3+  2 7-  0  2 17+ -2
Curve Equation t Generators 29274i1 [1,1,0,-79,-335] 2 [12:19:1] 29274i2 [1,1,0,-1309,-18785] 2 [135:1445:1]
29274j (2 curves)	1	2+ 3+ 7- 17+ 41-	2+ 3+  2 7-  0  2 17+  6
Curve Equation t Generators 29274j1 [1,1,0,100791,46805445] 2 [-723074:77896977:12167] 29274j2 [1,1,0,-1493289,647773605] 2 [3634887618185:-100391777652435:2498846293]
29274k (2 curves)	1	2+ 3+ 7- 17+ 41-	2+ 3+ -2 7- -4 -4 17+  0
Curve Equation t Generators 29274k1 [1,1,0,-23401,1359109] 2 [66:-361:1] 29274k2 [1,1,0,-8281,3110005] 2 [9:1738:1]
29274l (2 curves)	1	2+ 3+ 7- 17- 41+	2+ 3+ -2 7-  0  4 17- -6
Curve Equation t Generators 29274l1 [1,1,0,-126,-396] 2 [-9:15:1] 29274l2 [1,1,0,-1806,-30300] 2 [-25:15:1]
29274m (2 curves)	1	2+ 3+ 7- 17- 41+	2+ 3+ -4 7-  4 -2 17-  0
Curve Equation t Generators 29274m1 [1,1,0,-4322,-110880] 2 [-38:36:1] 29274m2 [1,1,0,-6212,-6930] 2 [151:1514:1]
29274n (2 curves)	1	2+ 3- 7+ 17+ 41-	2+ 3-  0 7+  4 -6 17+ -4
Curve Equation t Generators 29274n1 [1,0,1,-71,74] 2 [-1:12:1] 29274n2 [1,0,1,-911,10490] 2 [20:9:1]
29274o (1 curve)	1	2+ 3- 7+ 17- 41+	2+ 3- -2 7+  1 -2 17- -3
Curve Equation t Generators 29274o1 [1,0,1,13,-304] 1 [18:67:1]
29274p (2 curves)	1	2+ 3- 7+ 17- 41+	2+ 3- -2 7+  4  4 17-  0
Curve Equation t Generators 29274p1 [1,0,1,-1145567,-466183006] 2 [-661:1860:1] 29274p2 [1,0,1,-137147,-1257994390] 2 [169480:-4133259:125]
29274q (2 curves)	0	2+ 3- 7+ 17- 41-	2+ 3-  0 7+ -4  0 17-  6
Curve Equation t 29274q1 [1,0,1,-36401,-2660668] 2 29274q2 [1,0,1,-59441,1108676] 2
29274r (1 curve)	0	2+ 3- 7+ 17- 41-	2+ 3-  1 7+  3 -5 17- -4
Curve Equation t 29274r1 [1,0,1,-603,18904] 1
29274s (2 curves)	0	2+ 3- 7+ 17- 41-	2+ 3- -2 7+ -2  4 17- -8
Curve Equation t 29274s1 [1,0,1,3328,188750] 2 29274s2 [1,0,1,-36032,2329934] 2
29274t (2 curves)	0	2+ 3- 7+ 17- 41-	2+ 3- -2 7+  6  4 17-  8
Curve Equation t 29274t1 [1,0,1,-13282,-590620] 2 29274t2 [1,0,1,-212542,-37732684] 2
29274u (4 curves)	1	2+ 3- 7- 17+ 41+	2+ 3-  0 7-  0 -4 17+  2
Curve Equation t Generators 29274u1 [1,0,1,-7377066,2139455260] 6 [-1116920:45927843:512] 29274u2 [1,0,1,-92407626,341513426332] 6 [-5038:826653:1] 29274u3 [1,0,1,-346547961,-2483068247396] 2 [-4704816868360:4550656284093:438976000] 29274u4 [1,0,1,-359819001,-2282617150820] 2 [-75681020:-4155217383:8000]
29274v (2 curves)	1	2+ 3- 7- 17+ 41+	2+ 3- -4 7-  0  0 17+  2
Curve Equation t Generators 29274v1 [1,0,1,-928,-9298] 2 [49:227:1] 29274v2 [1,0,1,-4168,94382] 2 [16:-187:1]
29274w (2 curves)	0	2+ 3- 7- 17+ 41-	2+ 3-  0 7-  4  2 17+  8
Curve Equation t 29274w1 [1,0,1,-72591,-7528766] 2 29274w2 [1,0,1,-1161231,-481740350] 2
29274x (4 curves)	0	2+ 3- 7- 17- 41+	2+ 3-  0 7-  0  2 17-  2
Curve Equation t 29274x1 [1,0,1,-4071,99286] 6 29274x2 [1,0,1,-2181,192274] 6 29274x3 [1,0,1,-21666,-1151948] 2 29274x4 [1,0,1,19494,-5004524] 2
29274y (2 curves)	1	2- 3+ 7+ 17+ 41-	2- 3+  2 7+  2 -2 17+ -4
Curve Equation t Generators 29274y1 [1,1,1,8848,580673] 2 [191:2951:1] 29274y2 [1,1,1,-73772,6397121] 2 [345103:2738053:1331]
29274z (2 curves)	1	2- 3+ 7+ 17+ 41-	2- 3+  2 7+ -6  2 17+  0
Curve Equation t Generators 29274z1 [1,1,1,-62,-277] 2 [11:17:1] 29274z2 [1,1,1,-1082,-14149] 2 [113:1093:1]
29274ba (4 curves)	2	2- 3+ 7+ 17- 41-	2- 3+ -2 7+ -4 -2 17- -8
Curve Equation t Generators 29274ba1 [1,1,1,-6489,198375] 4 [-81:488:1]&[-53:656:1] 29274ba2 [1,1,1,-7769,112871] 4 [-85:452:1]&[-83:482:1] 29274ba3 [1,1,1,27511,889031] 4 [-27:370:1]&[-11:770:1] 29274ba4 [1,1,1,-63529,-6109945] 2 [-153:316:1]&[-139:312:1]
29274bb (2 curves)	1	2- 3+ 7- 17+ 41+	2- 3+  0 7-  4  2 17+ -4
Curve Equation t Generators 29274bb1 [1,1,1,5652,1032333] 2 [-51:809:1] 29274bb2 [1,1,1,-124908,16072845] 2 [93:2249:1]
29274bc (2 curves)	1	2- 3+ 7- 17+ 41+	2- 3+  0 7- -4  2 17+  4
Curve Equation t Generators 29274bc1 [1,1,1,-28,89] 2 [1:7:1] 29274bc2 [1,1,1,-538,4577] 2 [110:-21:8]
29274bd (1 curve)	1	2- 3+ 7- 17+ 41+	2- 3+ -3 7- -5 -1 17+ -4
Curve Equation t Generators 29274bd1 [1,1,1,-3367,-76603] 1 [105:808:1]
29274be (2 curves)	0	2- 3+ 7- 17- 41+	2- 3+  0 7-  2  6 17-  0
Curve Equation t 29274be1 [1,1,1,-17693,-2932621] 2 29274be2 [1,1,1,-433853,-109968973] 2
29274bf (4 curves)	1	2- 3+ 7- 17- 41-	2- 3+  2 7- -4 -6 17-  4
Curve Equation t Generators 29274bf1 [1,1,1,-51352,-4461991] 4 [-139:189:1] 29274bf2 [1,1,1,-819672,-285974439] 4 [1927:71801:1] 29274bf3 [1,1,1,-817712,-287407591] 2 [1219:22391:1] 29274bf4 [1,1,1,-13114752,-18285971559] 2 [4715:154887:1]
29274bg (4 curves)	1	2- 3+ 7- 17- 41-	2- 3+ -2 7- -4 -2 17-  0
Curve Equation t Generators 29274bg1 [1,1,1,-55509909,-130114707333] 4 [16615:1871756:1] 29274bg2 [1,1,1,-842269589,-9408528965509] 4 [35823:2510260:1] 29274bg3 [1,1,1,-796546709,-10475243755909] 4 [962517:68005948:27] 29274bg4 [1,1,1,-13476147349,-602144591504773] 2 [1128719:-1193117964:1]
29274bh (2 curves)	0	2- 3- 7+ 17+ 41-	2- 3-  0 7+ -2 -6 17+  8
Curve Equation t 29274bh1 [1,0,0,-48068,-8512560] 2 29274bh2 [1,0,0,-984428,-375752952] 2
29274bi (1 curve)	1	2- 3- 7+ 17- 41-	2- 3-  0 7+ -1  0 17- -3
Curve Equation t Generators 29274bi1 [1,0,0,392,8768] 1 [4:100:1]
29274bj (2 curves)	1	2- 3- 7+ 17- 41-	2- 3-  0 7+ -4  0 17-  0
Curve Equation t Generators 29274bj1 [1,0,0,-849078,300970404] 2 [396:4986:1] 29274bj2 [1,0,0,-723638,393018276] 2 [-218:-23138:1]
29274bk (1 curve)	1	2- 3- 7+ 17- 41-	2- 3-  1 7+  4 -5 17- -2
Curve Equation t Generators 29274bk1 [1,0,0,0,-192] 1 [14:44:1]
29274bl (1 curve)	1	2- 3- 7+ 17- 41-	2- 3- -1 7+ -2  1 17-  2
Curve Equation t Generators 29274bl1 [1,0,0,-53771,4795377] 1 [136:-17:1]
29274bm (6 curves)	1	2- 3- 7+ 17- 41-	2- 3- -2 7+  4 -2 17-  4
Curve Equation t Generators 29274bm1 [1,0,0,-8956224,10322546688] 8 [-3168:84672:1] 29274bm2 [1,0,0,-143325504,660427997184] 8 [3312:469584:1] 29274bm3 [1,0,0,-143351424,660177169344] 4 [-5286:1129692:1] 29274bm4 [1,0,0,-2293208064,42267965133888] 4 [28404:-232992:1] 29274bm5 [1,0,0,-113698584,941149689480] 2 [-4794:1175448:1] 29274bm6 [1,0,0,-173418984,363151771128] 2 [36738:-6619656:1]
29274bn (6 curves)	1	2- 3- 7+ 17- 41-	2- 3- -2 7+ -4 -2 17- -4
Curve Equation t Generators 29274bn1 [1,0,0,1296,0] 4 [2:50:1] 29274bn2 [1,0,0,-5184,-1296] 8 [90:468:1] 29274bn3 [1,0,0,-57204,-5255316] 4 [668:15626:1] 29274bn4 [1,0,0,-56844,5195700] 4 [4152:6322:27] 29274bn5 [1,0,0,-32214,-9868470] 2 [5294020:126030091:8000] 29274bn6 [1,0,0,-914514,-336691362] 2 [3033226:-6589043:2744]
29274bo (2 curves)	1	2- 3- 7+ 17- 41-	2- 3- -4 7+  4  4 17- -4
Curve Equation t Generators 29274bo1 [1,0,0,-10455,-412119] 2 [-60:39:1] 29274bo2 [1,0,0,-8495,-570879] 2 [460:-9869:1]
29274bp (1 curve)	0	2- 3- 7- 17+ 41+	2- 3-  2 7- -3  6 17+ -7
Curve Equation t 29274bp1 [1,0,0,71093,-312463] 1
29274bq (2 curves)	0	2- 3- 7- 17+ 41+	2- 3-  3 7-  0 -1 17+  2
Curve Equation t 29274bq1 [1,0,0,1536,2359296] 3 29274bq2 [1,0,0,-13824,-63704064] 1
29274br (2 curves)	0	2- 3- 7- 17- 41-	2- 3-  0 7-  4  0 17-  0
Curve Equation t 29274br1 [1,0,0,-98,0] 2 29274br2 [1,0,0,392,98] 2

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