Cremona's table of elliptic curves

58650 = 2 · 3 · 5² · 17 · 23

Class	r	Atkin-Lehner	Eigenvalues
58650a (1 curve)	1	2+ 3+ 5+ 17+ 23+	2+ 3+ 5+  0 -1  3 17+  1
Curve Equation t Generators 58650a1 [1,1,0,1485475,128032768125] 1 [55383366250:20870667427275:389017]
58650b (1 curve)	0	2+ 3+ 5+ 17+ 23-	2+ 3+ 5+  3 -5 -4 17+  7
Curve Equation t 58650b1 [1,1,0,-84179200,297237544960] 1
58650c (4 curves)	0	2+ 3+ 5+ 17+ 23-	2+ 3+ 5+  4  0  2 17+ -4
Curve Equation t 58650c1 [1,1,0,-29625,-1942875] 2 58650c2 [1,1,0,-61625,2953125] 4 58650c3 [1,1,0,208375,22123125] 2 58650c4 [1,1,0,-843625,297767125] 2
58650d (4 curves)	0	2+ 3+ 5+ 17- 23+	2+ 3+ 5+  0 -4 -6 17-  4
Curve Equation t 58650d1 [1,1,0,-323650,-625215500] 2 58650d2 [1,1,0,-13123650,-18199615500] 4 58650d3 [1,1,0,-21403650,7526344500] 4 58650d4 [1,1,0,-209643650,-1168431175500] 2
58650e (2 curves)	0	2+ 3+ 5+ 17- 23+	2+ 3+ 5+ -2  3 -5 17- -1
Curve Equation t 58650e1 [1,1,0,-53200,-4832000] 1 58650e2 [1,1,0,-4331200,-3471254000] 1
58650f (4 curves)	0	2+ 3+ 5+ 17- 23+	2+ 3+ 5+  4 -6  4 17- -4
Curve Equation t 58650f1 [1,1,0,699756100,756994842000] 2 58650f2 [1,1,0,-2816506900,6070068235000] 2 58650f3 [1,1,0,-9005542400,-359673817432500] 2 58650f4 [1,1,0,-147796564150,-21869645159269250] 2
58650g (1 curve)	1	2+ 3+ 5+ 17- 23-	2+ 3+ 5+  0  1 -1 17-  7
Curve Equation t Generators 58650g1 [1,1,0,1520772750,-8011906425000] 1 [22580:6140160:1]
58650h (1 curve)	1	2+ 3+ 5+ 17- 23-	2+ 3+ 5+  0 -6  6 17-  0
Curve Equation t Generators 58650h1 [1,1,0,-4525,116125] 1 [39:10:1]
58650i (2 curves)	1	2+ 3+ 5+ 17- 23-	2+ 3+ 5+  2 -2 -2 17-  4
Curve Equation t Generators 58650i1 [1,1,0,-11275,710125] 2 [-45:1085:1] 58650i2 [1,1,0,-206775,36095625] 2 [225:900:1]
58650j (1 curve)	1	2+ 3+ 5+ 17- 23-	2+ 3+ 5+  2  4  4 17- -2
Curve Equation t Generators 58650j1 [1,1,0,62200,-888000] 1 [244164234035:6289754414862:2833148375]
58650k (2 curves)	1	2+ 3+ 5+ 17- 23-	2+ 3+ 5+  4 -3 -5 17- -1
Curve Equation t Generators 58650k1 [1,1,0,-93525,10990125] 1 [170:-285:1] 58650k2 [1,1,0,162975,54905625] 1 [200:-9875:1]
58650l (2 curves)	1	2+ 3+ 5+ 17- 23-	2+ 3+ 5+  4  6 -5 17- -1
Curve Equation t Generators 58650l1 [1,1,0,-333904250,-3128107387500] 1 [203757196943269310:40127730692643978095:4297356245512] 58650l2 [1,1,0,-29467984250,-1947047340667500] 1 [4553672090:2684406644705:10648]
58650m (4 curves)	1	2+ 3+ 5+ 17- 23-	2+ 3+ 5+ -4  0 -6 17- -4
Curve Equation t Generators 58650m1 [1,1,0,62250,3946500] 2 [40:2530:1] 58650m2 [1,1,0,-302250,34200000] 4 [-370:9960:1] 58650m3 [1,1,0,-2253000,-1278654750] 2 [-829:4911:1] 58650m4 [1,1,0,-4183500,3290568750] 2 [1271:4711:1]
58650n (2 curves)	1	2+ 3+ 5+ 17- 23-	2+ 3+ 5+ -5 -3 -2 17- -7
Curve Equation t Generators 58650n1 [1,1,0,-57919075,-128019672875] 1 [-1842468908:32698607821:314432] 58650n2 [1,1,0,-4363575325,-110947861366625] 1 [-2441164:1268675:64]
58650o (1 curve)	1	2+ 3+ 5- 17+ 23-	2+ 3+ 5- -2  0 -1 17+ -5
Curve Equation t Generators 58650o1 [1,1,0,2550,76500] 1 [-15:195:1]
58650p (2 curves)	1	2+ 3+ 5- 17+ 23-	2+ 3+ 5- -4 -6  4 17+ -4
Curve Equation t Generators 58650p1 [1,1,0,1035,-11475] 2 [26:-197:1] 58650p2 [1,1,0,-5765,-113475] 2 [134:-1309:1]
58650q (1 curve)	1	2+ 3+ 5- 17+ 23-	2+ 3+ 5-  5 -3 -4 17+ -5
Curve Equation t Generators 58650q1 [1,1,0,-7200,-174750] 1 [-29:118:1]
58650r (1 curve)	1	2+ 3+ 5- 17- 23+	2+ 3+ 5-  1  3 -2 17-  5
Curve Equation t Generators 58650r1 [1,1,0,-295450,-61852250] 1 [-315:445:1]
58650s (1 curve)	2	2+ 3+ 5- 17- 23-	2+ 3+ 5- -3 -1 -1 17- -7
Curve Equation t Generators 58650s1 [1,1,0,-14675,672225] 1 [-140:155:1]&[-55:1175:1]
58650t (1 curve)	0	2+ 3- 5+ 17+ 23+	2+ 3- 5+  0 -2 -1 17+  1
Curve Equation t 58650t1 [1,0,1,-41126,-3273352] 1
58650u (1 curve)	1	2+ 3- 5+ 17+ 23-	2+ 3- 5+  4  2 -2 17+  4
Curve Equation t Generators 58650u1 [1,0,1,99,448] 1 [-280:1912:125]
58650v (4 curves)	1	2+ 3- 5+ 17+ 23-	2+ 3- 5+  4 -4  6 17+  4
Curve Equation t Generators 58650v1 [1,0,1,-5501,-639352] 2 [9975768:-271373321:13824] 58650v2 [1,0,1,-150001,-22314352] 4 [631:11276:1] 58650v3 [1,0,1,-213751,-1531852] 2 [7943418:-425877031:2744] 58650v4 [1,0,1,-2398251,-1429718852] 2 [24598:1126611:8]
58650w (2 curves)	1	2+ 3- 5+ 17- 23+	2+ 3- 5+  2 -2 -2 17-  4
Curve Equation t Generators 58650w1 [1,0,1,38224,-654802] 2 [132:-2654:1] 58650w2 [1,0,1,-157276,-5346802] 2 [-338:3206:1]
58650x (1 curve)	1	2+ 3- 5- 17+ 23+	2+ 3- 5- -1  5 -6 17+  1
Curve Equation t Generators 58650x1 [1,0,1,-426,-452] 1 [-4:36:1]
58650y (2 curves)	2	2+ 3- 5- 17+ 23-	2+ 3- 5- -1 -3 -7 17+ -1
Curve Equation t Generators 58650y1 [1,0,1,-69151,2388098] 3 [-278:521:1]&[-269:1376:1] 58650y2 [1,0,1,-3096526,-2097492352] 1 [-1019:701:1]&[9733:938429:1]
58650z (1 curve)	0	2+ 3- 5- 17+ 23-	2+ 3- 5- -2  0  3 17+  3
Curve Equation t 58650z1 [1,0,1,-14751201,21805431298] 1
58650ba (2 curves)	0	2+ 3- 5- 17+ 23-	2+ 3- 5- -2  0 -4 17+ -4
Curve Equation t 58650ba1 [1,0,1,-47991826,-273513887452] 2 58650ba2 [1,0,1,-990071826,-11981684127452] 2
58650bb (1 curve)	0	2+ 3- 5- 17+ 23-	2+ 3- 5-  3  5  6 17+  1
Curve Equation t 58650bb1 [1,0,1,-94326,11140048] 1
58650bc (2 curves)	2	2+ 3- 5- 17- 23+	2+ 3- 5- -4  0 -2 17- -8
Curve Equation t Generators 58650bc1 [1,0,1,-4986,156268] 2 [-434:4353:8]&[-43:561:1] 58650bc2 [1,0,1,-83186,9227468] 2 [168:-116:1]&[-1674:34283:8]
58650bd (2 curves)	1	2+ 3- 5- 17- 23-	2+ 3- 5- -2  0  0 17-  4
Curve Equation t Generators 58650bd1 [1,0,1,-44086,3621368] 2 [148:-661:1] 58650bd2 [1,0,1,-708786,229619368] 2 [182:10236:1]
58650be (1 curve)	1	2+ 3- 5- 17- 23-	2+ 3- 5- -2  4 -1 17-  1
Curve Equation t Generators 58650be1 [1,0,1,135549,-92598452] 1 [4952:346836:1]
58650bf (2 curves)	1	2+ 3- 5- 17- 23-	2+ 3- 5- -2  4  4 17- -4
Curve Equation t Generators 58650bf1 [1,0,1,-70901326,229783394048] 2 [9402:623236:1] 58650bf2 [1,0,1,-1134421326,14706417634048] 2 [554142:6817772:27]
58650bg (2 curves)	1	2+ 3- 5- 17- 23-	2+ 3- 5- -2 -4 -4 17- -4
Curve Equation t Generators 58650bg1 [1,0,1,-279451,-9029562202] 2 [4252:-260314:1] 58650bg2 [1,0,1,-66749451,-206977222202] 2 [-5098:31236:1]
58650bh (2 curves)	1	2- 3+ 5+ 17+ 23-	2- 3+ 5+  2  2 -6 17+  4
Curve Equation t Generators 58650bh1 [1,1,1,2763199437,-262701550936719] 2 [32437539:184728666222:1] 58650bh2 [1,1,1,-48485952563,-3846964743512719] 2 [7362776873359:-41936850376522522:226981]
58650bi (2 curves)	1	2- 3+ 5+ 17+ 23-	2- 3+ 5+ -2  0  4 17+  2
Curve Equation t Generators 58650bi1 [1,1,1,-613,-16219] 1 [20065252988:459833573369:36594368] 58650bi2 [1,1,1,-70738,-7270969] 1 [4939:344163:1]
58650bj (4 curves)	1	2- 3+ 5+ 17+ 23-	2- 3+ 5+ -4 -4 -6 17+  4
Curve Equation t Generators 58650bj1 [1,1,1,-3188,-70219] 2 [-31:17:1] 58650bj2 [1,1,1,-5188,25781] 4 [-29:405:1] 58650bj3 [1,1,1,20312,229781] 2 [121:2055:1] 58650bj4 [1,1,1,-62688,6005781] 2 [205:1247:1]
58650bk (4 curves)	1	2- 3+ 5+ 17- 23+	2- 3+ 5+  0  0  2 17- -4
Curve Equation t Generators 58650bk1 [1,1,1,13382537,43675720781] 4 [-635:187192:1] 58650bk2 [1,1,1,-134585463,525163592781] 4 [-1055:816602:1] 58650bk3 [1,1,1,-559585463,-4565486407219] 2 [1607017971:-24425756978:59319] 58650bk4 [1,1,1,-2077073463,36433996760781] 2 [834843:-36370274:27]
58650bl (2 curves)	1	2- 3+ 5+ 17- 23+	2- 3+ 5+  1 -3  7 17- -1
Curve Equation t Generators 58650bl1 [1,1,1,-1728763,298512281] 1 [-751:34638:1] 58650bl2 [1,1,1,-77413138,-262186543969] 1 [-5089:5145:1]
58650bm (1 curve)	1	2- 3+ 5+ 17- 23+	2- 3+ 5+ -2 -5  3 17-  1
Curve Equation t Generators 58650bm1 [1,1,1,9487,-247969] 1 [25:62:1]
58650bn (1 curve)	1	2- 3+ 5+ 17- 23+	2- 3+ 5+ -3  5 -6 17-  1
Curve Equation t Generators 58650bn1 [1,1,1,-3773,87611] 1 [-19:400:1]
58650bo (2 curves)	1	2- 3+ 5+ 17- 23+	2- 3+ 5+  4 -2 -6 17- -2
Curve Equation t Generators 58650bo1 [1,1,1,2112,-69219] 2 [44552:430501:512] 58650bo2 [1,1,1,-18138,-798219] 2 [2990:52051:8]
58650bp (1 curve)	0	2- 3+ 5+ 17- 23-	2- 3+ 5+  1  5  6 17-  1
Curve Equation t 58650bp1 [1,1,1,-10638,-56469] 1
58650bq (4 curves)	0	2- 3+ 5+ 17- 23-	2- 3+ 5+ -4 -4  2 17-  4
Curve Equation t 58650bq1 [1,1,1,-50213,-10968469] 4 58650bq2 [1,1,1,-1108213,-448980469] 4 58650bq3 [1,1,1,-1418713,-177603469] 2 58650bq4 [1,1,1,-17725713,-28731965469] 2
58650br (2 curves)	1	2- 3+ 5- 17+ 23+	2- 3+ 5-  2  0  0 17+  4
Curve Equation t Generators 58650br1 [1,1,1,-1102138,452671031] 2 [-965:25357:1] 58650br2 [1,1,1,-17719638,28702421031] 2 [12329:-1304043:1]
58650bs (1 curve)	1	2- 3+ 5- 17+ 23+	2- 3+ 5-  2  4  1 17+  1
Curve Equation t Generators 58650bs1 [1,1,1,5422,-738619] 1 [28644660:212651339:314432]
58650bt (2 curves)	1	2- 3+ 5- 17+ 23+	2- 3+ 5-  2  4 -4 17+ -4
Curve Equation t Generators 58650bt1 [1,1,1,-2836053,1837132731] 2 [945:972:1] 58650bt2 [1,1,1,-45376853,117633190331] 2 [3889:-1972:1]
58650bu (2 curves)	1	2- 3+ 5- 17+ 23+	2- 3+ 5-  2 -4  4 17+ -4
Curve Equation t Generators 58650bu1 [1,1,1,-11178,-72240969] 2 [471:4985:1] 58650bu2 [1,1,1,-2669978,-1656885769] 2 [12031:1300823:1]
58650bv (2 curves)	0	2- 3+ 5- 17+ 23-	2- 3+ 5-  4  0  2 17+ -8
Curve Equation t 58650bv1 [1,1,1,-124638,19533531] 2 58650bv2 [1,1,1,-2079638,1153433531] 2
58650bw (1 curve)	0	2- 3+ 5- 17- 23+	2- 3+ 5-  2  0 -3 17-  3
Curve Equation t 58650bw1 [1,1,1,-590048,174207431] 1
58650bx (2 curves)	0	2- 3+ 5- 17- 23+	2- 3+ 5-  2  0  4 17- -4
Curve Equation t 58650bx1 [1,1,1,-1919673,-2188878969] 2 58650bx2 [1,1,1,-39602873,-95869314169] 2
58650by (2 curves)	1	2- 3- 5+ 17+ 23+	2- 3- 5+  0  2  2 17+ -2
Curve Equation t Generators 58650by1 [1,0,0,-6138,593892] 2 [-12:822:1] 58650by2 [1,0,0,-150138,22337892] 2 [72:3414:1]
58650bz (1 curve)	1	2- 3- 5+ 17+ 23+	2- 3- 5+  3 -1  1 17+ -7
Curve Equation t Generators 58650bz1 [1,0,0,-366888,84761892] 1 [288:1590:1]
58650ca (1 curve)	0	2- 3- 5+ 17+ 23-	2- 3- 5+ -1  3  2 17+  5
Curve Equation t 58650ca1 [1,0,0,-11818,-494818] 1
58650cb (1 curve)	0	2- 3- 5+ 17- 23+	2- 3- 5+  4  3  7 17-  1
Curve Equation t 58650cb1 [1,0,0,562,-32508] 1
58650cc (1 curve)	0	2- 3- 5+ 17- 23+	2- 3- 5+  4 -6  1 17-  1
Curve Equation t 58650cc1 [1,0,0,-103938,12889242] 1
58650cd (1 curve)	0	2- 3- 5+ 17- 23+	2- 3- 5+ -5 -3  4 17- -5
Curve Equation t 58650cd1 [1,0,0,-288,-1398] 1
58650ce (1 curve)	1	2- 3- 5+ 17- 23-	2- 3- 5+  2  0 -4 17- -6
Curve Equation t Generators 58650ce1 [1,0,0,-6305313,6239404617] 1 [1226:18155:1]
58650cf (1 curve)	1	2- 3- 5+ 17- 23-	2- 3- 5+  2 -3 -1 17- -3
Curve Equation t Generators 58650cf1 [1,0,0,-3463,-510583] 1 [302:4949:1]
58650cg (1 curve)	1	2- 3- 5+ 17- 23-	2- 3- 5+ -4  6  6 17- -8
Curve Equation t Generators 58650cg1 [1,0,0,1412,-240208] 1 [68:380:1]
58650ch (1 curve)	1	2- 3- 5+ 17- 23-	2- 3- 5+ -4 -6 -7 17-  5
Curve Equation t Generators 58650ch1 [1,0,0,-9838,2104292] 1 [-118:1334:1]
58650ci (2 curves)	0	2- 3- 5- 17+ 23+	2- 3- 5-  5 -3  2 17+ -7
Curve Equation t 58650ci1 [1,0,0,-2316763,-1024157383] 3 58650ci2 [1,0,0,-174543013,-887582890933] 1
58650cj (1 curve)	1	2- 3- 5- 17- 23+	2- 3- 5-  2  0  1 17- -5
Curve Equation t Generators 58650cj1 [1,0,0,102,612] 1 [12:54:1]
58650ck (1 curve)	1	2- 3- 5- 17- 23+	2- 3- 5- -3 -5  4 17-  7
Curve Equation t Generators 58650ck1 [1,0,0,-2104480013,37158902080017] 1 [20098:1716607:1]
58650cl (2 curves)	1	2- 3- 5- 17- 23+	2- 3- 5-  4 -6 -4 17- -4
Curve Equation t Generators 58650cl1 [1,0,0,25862,-1486108] 2 [86:1130:1] 58650cl2 [1,0,0,-144138,-13896108] 2 [-198:2724:1]

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