Cremona's table of elliptic curves

74800 = 2⁴ · 5² · 11 · 17

Class	r	Atkin-Lehner	Eigenvalues
74800a (1 curve)	1	2+ 5+ 11+ 17+	2+  0 5+  3 11+  2 17+  4
Curve Equation t Generators 74800a1 [0,0,0,-20,-580] 1 [56464:172027:4096]
74800b (1 curve)	1	2+ 5+ 11+ 17+	2+ -1 5+ -3 11+  5 17+ -2
Curve Equation t Generators 74800b1 [0,-1,0,-8,352] 1 [6:22:1]
74800c (1 curve)	1	2+ 5+ 11+ 17+	2+ -2 5+  1 11+  4 17+  6
Curve Equation t Generators 74800c1 [0,1,0,487,-14477] 1 [19090:46273:1000]
74800d (1 curve)	1	2+ 5+ 11+ 17+	2+ -2 5+ -5 11+  4 17+  6
Curve Equation t Generators 74800d1 [0,1,0,-14583,-1208912] 1 [2636366838:13057061497:16387064]
74800e (2 curves)	0	2+ 5+ 11+ 17-	2+  0 5+  2 11+  2 17- -4
Curve Equation t 74800e1 [0,0,0,-17075,-858750] 2 74800e2 [0,0,0,-16075,-963750] 2
74800f (1 curve)	2	2+ 5+ 11- 17+	2+  0 5+  3 11- -4 17+ -8
Curve Equation t Generators 74800f1 [0,0,0,-335,2430] 1 [-19:44:1]&[9:12:1]
74800g (1 curve)	0	2+ 5+ 11- 17+	2+  1 5+ -2 11-  4 17+  0
Curve Equation t 74800g1 [0,1,0,-56633,-5304637] 1
74800h (1 curve)	0	2+ 5+ 11- 17+	2+  1 5+ -5 11-  5 17+  0
Curve Equation t 74800h1 [0,1,0,-10208,-456412] 1
74800i (1 curve)	0	2+ 5+ 11- 17+	2+ -1 5+  2 11- -2 17+  2
Curve Equation t 74800i1 [0,-1,0,-33,5437] 1
74800j (1 curve)	0	2+ 5+ 11- 17+	2+ -2 5+  1 11- -4 17+  0
Curve Equation t 74800j1 [0,1,0,-27633,-2605637] 1
74800k (1 curve)	0	2+ 5+ 11- 17+	2+  3 5+ -2 11-  3 17+ -7
Curve Equation t 74800k1 [0,0,0,-4075,-25807750] 1
74800l (4 curves)	1	2+ 5+ 11- 17-	2+  0 5+  0 11- -2 17-  0
Curve Equation t Generators 74800l1 [0,0,0,1825,1030750] 2 [-15:1000:1] 74800l2 [0,0,0,-142675,20249250] 4 [-30:4950:1] 74800l3 [0,0,0,-329675,-43891750] 2 [-166:2502:1] 74800l4 [0,0,0,-2267675,1314374250] 4 [7122:8541:8]
74800m (1 curve)	1	2+ 5+ 11- 17-	2+  0 5+ -1 11-  4 17- -4
Curve Equation t Generators 74800m1 [0,0,0,10,-5] 1 [18:43:8]
74800n (2 curves)	1	2+ 5+ 11- 17-	2+  0 5+ -2 11- -6 17- -4
Curve Equation t Generators 74800n1 [0,0,0,-4953875,4243905250] 2 [34545:9350:27] 74800n2 [0,0,0,-4952875,4245704250] 2 [609:38148:1]
74800o (1 curve)	1	2+ 5+ 11- 17-	2+  0 5+  3 11-  4 17-  6
Curve Equation t Generators 74800o1 [0,0,0,-500,-4500] 1 [141865:352175:4913]
74800p (1 curve)	1	2+ 5- 11+ 17-	2+  0 5- -3 11+ -2 17-  4
Curve Equation t Generators 74800p1 [0,0,0,-500,-72500] 1 [450:2225:8]
74800q (1 curve)	1	2+ 5- 11+ 17-	2+  1 5-  3 11+ -5 17- -2
Curve Equation t Generators 74800q1 [0,1,0,-208,43588] 1 [72:638:1]
74800r (1 curve)	1	2+ 5- 11+ 17-	2+  2 5- -1 11+ -4 17-  6
Curve Equation t Generators 74800r1 [0,-1,0,12167,-1833963] 1 [5988:21675:64]
74800s (1 curve)	1	2+ 5- 11+ 17-	2+  2 5-  5 11+ -4 17-  6
Curve Equation t Generators 74800s1 [0,-1,0,-583,-9438] 1 [94038:269655:2744]
74800t (1 curve)	1	2+ 5- 11- 17+	2+  0 5-  1 11- -4 17+ -4
Curve Equation t Generators 74800t1 [0,0,0,250,-625] 1 [50:275:8]
74800u (2 curves)	1	2+ 5- 11- 17+	2+  2 5-  0 11- -2 17+  0
Curve Equation t Generators 74800u1 [0,-1,0,-11583,-473338] 2 [29659622:929666250:29791] 74800u2 [0,-1,0,-4708,-1037088] 2 [21593521578510:678566183303647:21717639000]
74800v (1 curve)	2	2+ 5- 11- 17-	2+  0 5- -3 11-  4 17- -8
Curve Equation t Generators 74800v1 [0,0,0,-8375,303750] 1 [-106:22:1]&[125:1100:1]
74800w (1 curve)	0	2+ 5- 11- 17-	2+ -1 5-  5 11- -5 17-  0
Curve Equation t 74800w1 [0,-1,0,-408,-3488] 1
74800x (2 curves)	0	2+ 5- 11- 17-	2+ -2 5-  0 11-  2 17-  0
Curve Equation t 74800x1 [0,1,0,-463,-3972] 2 74800x2 [0,1,0,-188,-8372] 2
74800y (2 curves)	2	2- 5+ 11+ 17+	2-  0 5+ -4 11+ -2 17+  2
Curve Equation t Generators 74800y1 [0,0,0,-17675,984250] 2 [15:850:1]&[90:350:1] 74800y2 [0,0,0,-289675,60008250] 2 [21:7344:1]&[85:6000:1]
74800z (1 curve)	0	2- 5+ 11+ 17+	2-  1 5+  0 11+  3 17+ -3
Curve Equation t 74800z1 [0,1,0,30592,31851188] 1
74800ba (1 curve)	0	2- 5+ 11+ 17+	2-  1 5+  3 11+ -3 17+ -6
Curve Equation t 74800ba1 [0,1,0,-270688,62584948] 1
74800bb (1 curve)	0	2- 5+ 11+ 17+	2- -1 5+  1 11+  1 17+ -4
Curve Equation t 74800bb1 [0,-1,0,54792,-223411088] 1
74800bc (2 curves)	0	2- 5+ 11+ 17+	2- -1 5+ -2 11+  1 17+  5
Curve Equation t 74800bc1 [0,-1,0,-975934008,-11747987769488] 1 74800bc2 [0,-1,0,6913425992,137186199750512] 1
74800bd (1 curve)	0	2- 5+ 11+ 17+	2- -1 5+ -2 11+ -5 17+  5
Curve Equation t 74800bd1 [0,-1,0,-117408,-15634688] 1
74800be (1 curve)	0	2- 5+ 11+ 17+	2-  2 5+  1 11+  4 17+  2
Curve Equation t 74800be1 [0,-1,0,1667,-20463] 1
74800bf (2 curves)	0	2- 5+ 11+ 17+	2-  2 5+ -2 11+ -2 17+ -4
Curve Equation t 74800bf1 [0,-1,0,-7404033,7749684812] 2 74800bf2 [0,-1,0,-5573908,11673472812] 2
74800bg (1 curve)	0	2- 5+ 11+ 17+	2-  2 5+ -2 11+  7 17+  5
Curve Equation t 74800bg1 [0,-1,0,672,-18688] 1
74800bh (1 curve)	0	2- 5+ 11+ 17+	2- -2 5+  3 11+  0 17+  0
Curve Equation t 74800bh1 [0,1,0,-533,26563] 1
74800bi (1 curve)	0	2- 5+ 11+ 17+	2-  3 5+  5 11+  1 17+  2
Curve Equation t 74800bi1 [0,0,0,-8155,-283510] 1
74800bj (1 curve)	2	2- 5+ 11+ 17+	2- -3 5+ -4 11+  1 17+ -7
Curve Equation t Generators 74800bj1 [0,0,0,-34675,-22220750] 1 [329:1408:1]&[615:-13750:1]
74800bk (2 curves)	1	2- 5+ 11+ 17-	2-  1 5+  2 11+ -2 17- -2
Curve Equation t Generators 74800bk1 [0,1,0,4267,-211837] 1 [4416566:6068201:117649] 74800bk2 [0,1,0,-39733,6960163] 1 [-258:323:1]
74800bl (2 curves)	1	2- 5+ 11+ 17-	2-  1 5+ -3 11+ -1 17-  0
Curve Equation t Generators 74800bl1 [0,1,0,-430848,-233704012] 1 [1807:69938:1] 74800bl2 [0,1,0,-11550208,29686513588] 1 [752014108695:50131976860834:413493625]
74800bm (2 curves)	1	2- 5+ 11+ 17-	2- -2 5+ -1 11+  4 17- -2
Curve Equation t Generators 74800bm1 [0,1,0,49792,-3886412] 1 [714:19904:1] 74800bm2 [0,1,0,-500208,197413588] 1 [-238:17408:1]
74800bn (2 curves)	1	2- 5+ 11+ 17-	2- -2 5+ -1 11+  4 17- -8
Curve Equation t Generators 74800bn1 [0,1,0,-6533,-217937] 1 [243:3550:1] 74800bn2 [0,1,0,37467,-151937] 1 [23:850:1]
74800bo (1 curve)	1	2- 5+ 11+ 17-	2- -2 5+ -3 11+  2 17-  6
Curve Equation t Generators 74800bo1 [0,1,0,-833,-12662] 1 [8666:285251:8]
74800bp (2 curves)	1	2- 5+ 11- 17+	2-  0 5+  0 11-  6 17+ -2
Curve Equation t Generators 74800bp1 [0,0,0,213925,7530250] 2 [-631765:34243950:24389] 74800bp2 [0,0,0,-874075,60842250] 2 [61:2784:1]
74800bq (1 curve)	1	2- 5+ 11- 17+	2-  0 5+ -3 11- -2 17+  4
Curve Equation t Generators 74800bq1 [0,0,0,-50000,-4850000] 1 [1700623452278503932:2990625427593937643:6462711281040832]
74800br (1 curve)	1	2- 5+ 11- 17+	2-  0 5+ -3 11-  6 17+  4
Curve Equation t Generators 74800br1 [0,0,0,-320,4395] 1 [-158:439:8]
74800bs (1 curve)	1	2- 5+ 11- 17+	2-  0 5+ -5 11- -4 17+ -2
Curve Equation t Generators 74800bs1 [0,0,0,2800,-10000] 1 [25:275:1]
74800bt (2 curves)	1	2- 5+ 11- 17+	2-  1 5+ -1 11-  1 17+ -2
Curve Equation t Generators 74800bt1 [0,1,0,-90208,-18166412] 1 [119345436:2305138154:205379] 74800bt2 [0,1,0,759792,337133588] 1 [-308:8602:1]
74800bu (2 curves)	1	2- 5+ 11- 17+	2-  1 5+ -1 11-  1 17+ -8
Curve Equation t Generators 74800bu1 [0,1,0,-968,95348] 1 [44:374:1] 74800bu2 [0,1,0,-191368,32158708] 1 [252:-22:1]
74800bv (1 curve)	1	2- 5+ 11- 17+	2-  1 5+  3 11-  5 17+ -2
Curve Equation t Generators 74800bv1 [0,1,0,672,-3532] 1 [52:418:1]
74800bw (1 curve)	1	2- 5+ 11- 17+	2-  1 5+  4 11-  1 17+ -3
Curve Equation t Generators 74800bw1 [0,1,0,1992,43988] 1 [-2:200:1]
74800bx (2 curves)	1	2- 5+ 11- 17+	2-  1 5+ -4 11- -5 17+  1
Curve Equation t Generators 74800bx1 [0,1,0,-7801408,-8389620812] 1 [2363472036:292838171450:148877] 74800bx2 [0,1,0,-6747408,-10736504812] 1 [6748:501050:1]
74800by (1 curve)	1	2- 5+ 11- 17+	2-  2 5+ -3 11-  0 17+ -6
Curve Equation t Generators 74800by1 [0,-1,0,-8,-208] 1 [28:144:1]
74800bz (1 curve)	1	2- 5+ 11- 17+	2- -2 5+ -2 11-  1 17+  3
Curve Equation t Generators 74800bz1 [0,1,0,-73048,9998868] 1 [-116:4114:1]
74800ca (1 curve)	1	2- 5+ 11- 17+	2- -2 5+  3 11- -4 17+ -2
Curve Equation t Generators 74800ca1 [0,1,0,-7173,-236237] 1 [4525931178:61315061533:20570824]
74800cb (1 curve)	1	2- 5+ 11- 17+	2- -2 5+ -3 11- -4 17+ -2
Curve Equation t Generators 74800cb1 [0,1,0,-70768,7222548] 1 [154:16:1]
74800cc (2 curves)	1	2- 5+ 11- 17+	2- -2 5+  5 11-  4 17+ -2
Curve Equation t Generators 74800cc1 [0,1,0,-57669488,-168644264492] 1 [199115127877340142516497690539826010:35689179840429167168190452684872871936:5861598230462202519138383409125] 74800cc2 [0,1,0,38625312,-654019579532] 1 [46951655910939670:3207667530214670336:5354782562375]
74800cd (1 curve)	1	2- 5+ 11- 17+	2-  3 5+ -3 11-  1 17+ -2
Curve Equation t Generators 74800cd1 [0,0,0,-449035,-116888710] 1 [827517:144836758:27]
74800ce (1 curve)	1	2- 5+ 11- 17+	2- -3 5+  0 11-  3 17+  1
Curve Equation t Generators 74800ce1 [0,0,0,-14734075,21768990250] 1 [2215:-550:1]
74800cf (1 curve)	1	2- 5+ 11- 17+	2- -3 5+ -3 11-  3 17+ -2
Curve Equation t Generators 74800cf1 [0,0,0,-19375,-1043750] 1 [226:2474:1]
74800cg (1 curve)	0	2- 5+ 11- 17-	2-  0 5+  0 11-  4 17- -2
Curve Equation t 74800cg1 [0,0,0,-1130000,462350000] 1
74800ch (2 curves)	0	2- 5+ 11- 17-	2-  0 5+ -2 11-  2 17-  4
Curve Equation t 74800ch1 [0,0,0,-12875,64250] 2 74800ch2 [0,0,0,51125,512250] 2
74800ci (1 curve)	0	2- 5+ 11- 17-	2- -1 5+ -1 11-  3 17-  8
Curve Equation t 74800ci1 [0,-1,0,-1088,-17408] 1
74800cj (2 curves)	0	2- 5+ 11- 17-	2-  2 5+  2 11- -6 17- -4
Curve Equation t 74800cj1 [0,-1,0,-11033,435812] 2 74800cj2 [0,-1,0,4092,1524812] 2
74800ck (2 curves)	2	2- 5+ 11- 17-	2- -2 5+ -1 11- -2 17- -2
Curve Equation t Generators 74800ck1 [0,1,0,-153,-782] 1 [14:4:1]&[42:262:1] 74800ck2 [0,1,0,47,-2442] 1 [14:34:1]&[82:748:1]
74800cl (2 curves)	0	2- 5+ 11- 17-	2- -2 5+  2 11-  1 17-  7
Curve Equation t 74800cl1 [0,1,0,-3305208,-2313946412] 1 74800cl2 [0,1,0,-2805208,-3037346412] 1
74800cm (2 curves)	0	2- 5+ 11- 17-	2- -2 5+  5 11-  4 17-  4
Curve Equation t 74800cm1 [0,1,0,-5262133,-4647884637] 1 74800cm2 [0,1,0,-3862133,-7173484637] 1
74800cn (1 curve)	0	2- 5+ 11- 17-	2-  3 5+ -2 11-  2 17- -2
Curve Equation t 74800cn1 [0,0,0,-12400,531500] 1
74800co (1 curve)	0	2- 5+ 11- 17-	2-  3 5+  3 11- -5 17-  4
Curve Equation t 74800co1 [0,0,0,725,-9190] 1
74800cp (2 curves)	1	2- 5- 11+ 17+	2- -1 5-  3 11+  1 17+  0
Curve Equation t Generators 74800cp1 [0,-1,0,-462008,237676912] 1 [6538:161051:8] 74800cp2 [0,-1,0,-10771208,-29191459088] 1 [1217418:474799589:8]
74800cq (2 curves)	1	2- 5- 11+ 17+	2-  2 5-  1 11+ -4 17+ -2
Curve Equation t Generators 74800cq1 [0,-1,0,1992,-31888] 1 [92:960:1] 74800cq2 [0,-1,0,-20008,1587312] 1 [14580:113664:125]
74800cr (1 curve)	1	2- 5- 11+ 17+	2-  2 5-  3 11+ -2 17+  6
Curve Equation t Generators 74800cr1 [0,-1,0,-33,-88] 1 [58:9:8]
74800cs (2 curves)	1	2- 5- 11+ 17+	2- -2 5-  0 11+  6 17+ -8
Curve Equation t Generators 74800cs1 [0,1,0,-1970688,1068207028] 2 [-177:37570:1] 74800cs2 [0,1,0,-31564288,68245679028] 2 [3242:128:1]
74800ct (1 curve)	0	2- 5- 11+ 17-	2-  1 5- -1 11+ -1 17- -4
Curve Equation t 74800ct1 [0,1,0,2192,-1786412] 1
74800cu (1 curve)	0	2- 5- 11+ 17-	2- -1 5- -3 11+  3 17- -6
Curve Equation t 74800cu1 [0,-1,0,-6767208,7836652912] 1
74800cv (2 curves)	0	2- 5- 11+ 17-	2-  2 5-  0 11+ -6 17- -8
Curve Equation t 74800cv1 [0,-1,0,-49267208,133624412912] 2 74800cv2 [0,-1,0,-789107208,8532288092912] 2
74800cw (1 curve)	2	2- 5- 11+ 17-	2- -2 5- -1 11+ -4 17-  2
Curve Equation t Generators 74800cw1 [0,1,0,67,-137] 1 [2:3:1]&[3:10:1]
74800cx (1 curve)	0	2- 5- 11+ 17-	2- -2 5-  2 11+ -7 17-  5
Curve Equation t 74800cx1 [0,1,0,16792,-2302412] 1
74800cy (1 curve)	0	2- 5- 11+ 17-	2- -3 5- -5 11+ -1 17-  2
Curve Equation t 74800cy1 [0,0,0,-203875,-35438750] 1
74800cz (1 curve)	0	2- 5- 11- 17+	2-  0 5-  0 11- -4 17+ -2
Curve Equation t 74800cz1 [0,0,0,-45200,3698800] 1
74800da (1 curve)	0	2- 5- 11- 17+	2-  1 5-  1 11- -3 17+  8
Curve Equation t 74800da1 [0,1,0,-27208,-2230412] 1
74800db (2 curves)	0	2- 5- 11- 17+	2-  2 5-  1 11-  2 17+ -2
Curve Equation t 74800db1 [0,-1,0,-3833,-90088] 1 74800db2 [0,-1,0,1167,-307588] 1
74800dc (2 curves)	0	2- 5- 11- 17+	2-  2 5- -2 11- -1 17+  7
Curve Equation t 74800dc1 [0,-1,0,-132208,-18458688] 1 74800dc2 [0,-1,0,-112208,-24253888] 1
74800dd (2 curves)	2	2- 5- 11- 17+	2- -2 5-  0 11- -6 17+ -2
Curve Equation t Generators 74800dd1 [0,1,0,1312,39028] 2 [-17:110:1]&[-6:176:1] 74800dd2 [0,1,0,-12288,447028] 2 [-126:104:1]&[-78:968:1]
74800de (1 curve)	0	2- 5- 11- 17+	2- -3 5- -3 11-  5 17+  4
Curve Equation t 74800de1 [0,0,0,18125,-1148750] 1
74800df (1 curve)	1	2- 5- 11- 17-	2-  0 5-  3 11-  2 17-  4
Curve Equation t Generators 74800df1 [0,0,0,-2000,-38800] 1 [17522:819859:8]
74800dg (1 curve)	1	2- 5- 11- 17-	2-  0 5-  3 11- -6 17-  4
Curve Equation t Generators 74800dg1 [0,0,0,-8000,549375] 1 [-350:7225:8]
74800dh (2 curves)	1	2- 5- 11- 17-	2- -1 5-  1 11- -1 17- -2
Curve Equation t Generators 74800dh1 [0,-1,0,-3608,-143888] 1 [162:-1870:1] 74800dh2 [0,-1,0,30392,2684912] 1 [106:-2662:1]
74800di (2 curves)	1	2- 5- 11- 17-	2- -1 5-  1 11- -1 17- -8
Curve Equation t Generators 74800di1 [0,-1,0,-24208,11966912] 1 [442:9350:1] 74800di2 [0,-1,0,-4784208,4029406912] 1 [1306:2662:1]
74800dj (1 curve)	1	2- 5- 11- 17-	2- -1 5- -3 11- -5 17- -2
Curve Equation t Generators 74800dj1 [0,-1,0,16792,-475088] 1 [42:550:1]
74800dk (2 curves)	1	2- 5- 11- 17-	2-  2 5-  0 11-  6 17- -2
Curve Equation t Generators 74800dk1 [0,-1,0,32792,4812912] 2 [1017:33000:1] 74800dk2 [0,-1,0,-307208,56492912] 2 [29091:843128:27]
74800dl (1 curve)	1	2- 5- 11- 17-	2-  2 5-  2 11- -1 17-  3
Curve Equation t Generators 74800dl1 [0,-1,0,-1826208,1253510912] 1 [3536:197472:1]
74800dm (1 curve)	1	2- 5- 11- 17-	2-  2 5-  3 11-  4 17- -2
Curve Equation t Generators 74800dm1 [0,-1,0,-1769208,906356912] 1 [692:3600:1]
74800dn (1 curve)	1	2- 5- 11- 17-	2-  2 5- -3 11-  4 17- -2
Curve Equation t Generators 74800dn1 [0,-1,0,-179333,-29170963] 1 [8238247359900112:180074962479154275:10788001140736]
74800do (2 curves)	1	2- 5- 11- 17-	2-  2 5- -5 11- -4 17- -2
Curve Equation t Generators 74800do1 [0,-1,0,-1441737208,-21077649587088] 1 [1122014988:76972953600:24389] 74800do2 [0,-1,0,965632792,-81754378707088] 1 [1354486391699188:124080805512216576:35190814933]
74800dp (1 curve)	1	2- 5- 11- 17-	2- -2 5-  3 11-  0 17- -6
Curve Equation t Generators 74800dp1 [0,1,0,-208,-26412] 1 [58:400:1]
74800dq (1 curve)	1	2- 5- 11- 17-	2-  3 5-  3 11- -3 17- -2
Curve Equation t Generators 74800dq1 [0,0,0,-775,-8350] 1 [930:2060:27]
74800dr (1 curve)	1	2- 5- 11- 17-	2- -3 5-  3 11- -1 17- -2
Curve Equation t Generators 74800dr1 [0,0,0,-11225875,-14611088750] 1 [10679:1040842:1]

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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