Cremona's table of elliptic curves

60030 = 2 · 3² · 5 · 23 · 29

Class	r	Atkin-Lehner	Eigenvalues
60030a (2 curves)	1	2+ 3+ 5+ 23+ 29+	2+ 3+ 5+ -2  6  2  0 -4
Curve Equation t Generators 60030a1 [1,-1,0,-2175,18125] 2 [-25:250:1] 60030a2 [1,-1,0,-29175,1924325] 2 [-95:2005:1]
60030b (2 curves)	1	2+ 3+ 5+ 23- 29-	2+ 3+ 5+  2  4  2 -2 -4
Curve Equation t Generators 60030b1 [1,-1,0,-285,-559] 2 [-7:36:1] 60030b2 [1,-1,0,1065,-5149] 2 [47:360:1]
60030c (4 curves)	1	2+ 3+ 5- 23+ 29-	2+ 3+ 5-  2  0  2  6 -4
Curve Equation t Generators 60030c1 [1,-1,0,-34059,2420613] 6 [806:117:8] 60030c2 [1,-1,0,-19059,4553613] 6 [20006:988917:8] 60030c3 [1,-1,0,-175434,-26310412] 2 [-15823794:-79180303:74088] 60030c4 [1,-1,0,170166,-117479692] 2 [158067255780210:-8040789612194513:63521199000]
60030d (2 curves)	1	2+ 3+ 5- 23- 29+	2+ 3+ 5-  2 -2  2  4 -4
Curve Equation t Generators 60030d1 [1,-1,0,-234564,43784720] 2 [281:-108:1] 60030d2 [1,-1,0,-235644,43362008] 2 [217:1444:1]
60030e (2 curves)	1	2+ 3+ 5- 23- 29+	2+ 3+ 5-  2 -2  6  0 -4
Curve Equation t Generators 60030e1 [1,-1,0,-1074,13780] 2 [21:2:1] 60030e2 [1,-1,0,-1554,628] 2 [-3:74:1]
60030f (2 curves)	1	2+ 3+ 5- 23- 29+	2+ 3+ 5- -4  0  4 -8  0
Curve Equation t Generators 60030f1 [1,-1,0,-55554,-5018860] 2 [-3777:2414:27] 60030f2 [1,-1,0,-72834,-1621612] 2 [-23:214:1]
60030g (4 curves)	0	2+ 3- 5+ 23+ 29+	2+ 3- 5+  4  0  2 -2 -4
Curve Equation t 60030g1 [1,-1,0,-16110,-755244] 2 60030g2 [1,-1,0,-42030,2308500] 4 60030g3 [1,-1,0,114570,15368940] 2 60030g4 [1,-1,0,-613350,185016636] 2
60030h (4 curves)	1	2+ 3- 5+ 23+ 29-	2+ 3- 5+  0  0 -6  6 -4
Curve Equation t Generators 60030h1 [1,-1,0,99225,-2133944195] 2 [31844145850:817571312803:20796875] 60030h2 [1,-1,0,-24277095,-45187400579] 4 [104465150:4669482929:15625] 60030h3 [1,-1,0,-52131015,77821080925] 2 [103314915:-28713417770:1331] 60030h4 [1,-1,0,-386444295,-2923909606499] 2 [1227512025:-332648876446:15625]
60030i (1 curve)	1	2+ 3- 5+ 23+ 29-	2+ 3- 5+  0 -2 -3  6 -7
Curve Equation t Generators 60030i1 [1,-1,0,-9315,348381] 1 [57:-15:1]
60030j (2 curves)	1	2+ 3- 5+ 23+ 29-	2+ 3- 5+  0  4  0  0 -4
Curve Equation t Generators 60030j1 [1,-1,0,-357615,-94533075] 2 [6248943733539:-200780145477653:4716275733] 60030j2 [1,-1,0,-5956335,-5593595859] 2 [-83654025:21128726:59319]
60030k (2 curves)	1	2+ 3- 5+ 23+ 29-	2+ 3- 5+  2  2 -4  2 -4
Curve Equation t Generators 60030k1 [1,-1,0,-37841265,-32755801059] 2 [-207303556770015:-4922537224374564:38786091625] 60030k2 [1,-1,0,-491337585,-4188505378275] 2 [-1763487456082446942050385:-5434037170651172763112476:135940649524928518375]
60030l (2 curves)	1	2+ 3- 5+ 23+ 29-	2+ 3- 5+  2 -2  2 -4  8
Curve Equation t Generators 60030l1 [1,-1,0,41895,1464601] 2 [53:1931:1] 60030l2 [1,-1,0,-185175,12409375] 2 [575:9500:1]
60030m (2 curves)	1	2+ 3- 5+ 23+ 29-	2+ 3- 5+ -2 -6  2  0  0
Curve Equation t Generators 60030m1 [1,-1,0,-242100,45979600] 2 [360:-2500:1] 60030m2 [1,-1,0,-3875220,2937216496] 2 [1143:-934:1]
60030n (2 curves)	1	2+ 3- 5+ 23+ 29-	2+ 3- 5+  4  6  2  0  0
Curve Equation t Generators 60030n1 [1,-1,0,-30330,-2025500] 2 [99008:1197050:343] 60030n2 [1,-1,0,-29430,-2152040] 2 [1046:32804:1]
60030o (1 curve)	1	2+ 3- 5+ 23+ 29-	2+ 3- 5+ -4  2 -1  2  5
Curve Equation t Generators 60030o1 [1,-1,0,-23355,-1755675] 1 [128805:4019694:125]
60030p (2 curves)	1	2+ 3- 5+ 23+ 29-	2+ 3- 5+ -4  2  2  0 -2
Curve Equation t Generators 60030p1 [1,-1,0,-143415,52271325] 2 [270:-5895:1] 60030p2 [1,-1,0,-3150135,2150360541] 2 [-2045:7106:1]
60030q (4 curves)	1	2+ 3- 5- 23+ 29+	2+ 3- 5-  4 -4  6  2  4
Curve Equation t Generators 60030q1 [1,-1,0,-16383609,25499167213] 2 [765051:-2780308:343] 60030q2 [1,-1,0,-20991609,10006149613] 4 [-74284435869:5048197861132:23639903] 60030q3 [1,-1,0,80485191,78421808173] 2 [408112036281724796322540023707:-67220470441218370893125719032980:17455605285779708950722833] 60030q4 [1,-1,0,-196196409,-1050017931347] 2 [153520725206686094807531163749:-20029601168828948670529186149484:5905959972239696254616431]
60030r (4 curves)	0	2+ 3- 5- 23+ 29-	2+ 3- 5-  2  0  2 -6  2
Curve Equation t 60030r1 [1,-1,0,38241,-3452787] 2 60030r2 [1,-1,0,-243639,-34064955] 2 60030r3 [1,-1,0,-371619,143582625] 6 60030r4 [1,-1,0,-6956649,7061815143] 6
60030s (1 curve)	0	2+ 3- 5- 23+ 29-	2+ 3- 5- -4  1  7 -4 -5
Curve Equation t 60030s1 [1,-1,0,-2664,53568] 1
60030t (1 curve)	0	2+ 3- 5- 23- 29+	2+ 3- 5-  4  2  3  2 -5
Curve Equation t 60030t1 [1,-1,0,5121,-2050475] 1
60030u (2 curves)	1	2+ 3- 5- 23- 29-	2+ 3- 5-  2  0 -1  6 -1
Curve Equation t Generators 60030u1 [1,-1,0,422766,861478740] 1 [21318:1146021:8] 60030u2 [1,-1,0,-57051594,165928942908] 3 [2847:161589:1]
60030v (1 curve)	1	2+ 3- 5- 23- 29-	2+ 3- 5- -2  3 -1  6 -7
Curve Equation t Generators 60030v1 [1,-1,0,-1299474,470374780] 1 [-399:30617:1]
60030w (2 curves)	1	2- 3+ 5+ 23+ 29-	2- 3+ 5+  2  2  2 -4 -4
Curve Equation t Generators 60030w1 [1,-1,1,-26063,-1612969] 2 [201:1012:1] 60030w2 [1,-1,1,-26183,-1597273] 2 [-95:208:1]
60030x (2 curves)	1	2- 3+ 5+ 23+ 29-	2- 3+ 5+  2  2  6  0 -4
Curve Equation t Generators 60030x1 [1,-1,1,-9668,-362393] 2 [-55:53:1] 60030x2 [1,-1,1,-13988,-2969] 2 [-77:821:1]
60030y (2 curves)	1	2- 3+ 5+ 23+ 29-	2- 3+ 5+ -4  0  4  8  0
Curve Equation t Generators 60030y1 [1,-1,1,-6173,187941] 2 [53:-114:1] 60030y2 [1,-1,1,-8093,62757] 2 [-57:608:1]
60030z (4 curves)	1	2- 3+ 5+ 23- 29+	2- 3+ 5+  2  0  2 -6 -4
Curve Equation t Generators 60030z1 [1,-1,1,-19493,980957] 6 [43:448:1] 60030z2 [1,-1,1,18907,4344797] 6 [427:9280:1] 60030z3 [1,-1,1,-306533,-65050019] 2 [80945:305902:125] 60030z4 [1,-1,1,-171533,-122776019] 2 [716819145:2944833422:1157625]
60030ba (2 curves)	1	2- 3+ 5- 23+ 29+	2- 3+ 5-  2 -4  2  2 -4
Curve Equation t Generators 60030ba1 [1,-1,1,-32,31] 2 [-2:47:8] 60030ba2 [1,-1,1,118,151] 2 [190:911:8]
60030bb (2 curves)	1	2- 3+ 5- 23- 29-	2- 3+ 5- -2 -6  2  0 -4
Curve Equation t Generators 60030bb1 [1,-1,1,-242,-591] 2 [-13:21:1] 60030bb2 [1,-1,1,-3242,-70191] 2 [-33:21:1]
60030bc (1 curve)	1	2- 3- 5+ 23+ 29+	2- 3- 5+  0  2  1 -2  3
Curve Equation t Generators 60030bc1 [1,-1,1,148522,84447461] 1 [-279:4747:1]
60030bd (1 curve)	0	2- 3- 5+ 23+ 29-	2- 3- 5+  2  0  1  2 -1
Curve Equation t 60030bd1 [1,-1,1,-23,-183] 1
60030be (2 curves)	0	2- 3- 5+ 23+ 29-	2- 3- 5+  2  0 -2  2  6
Curve Equation t 60030be1 [1,-1,1,-2003,246831] 2 60030be2 [1,-1,1,-72473,7491147] 2
60030bf (1 curve)	0	2- 3- 5+ 23+ 29-	2- 3- 5+  2  0  5  2 -1
Curve Equation t 60030bf1 [1,-1,1,-98647327373,-11925461666539083] 1
60030bg (1 curve)	0	2- 3- 5+ 23+ 29-	2- 3- 5+  2  5  5  2 -1
Curve Equation t 60030bg1 [1,-1,1,-68,47] 1
60030bh (2 curves)	2	2- 3- 5+ 23+ 29-	2- 3- 5+ -4  0 -4 -4 -4
Curve Equation t Generators 60030bh1 [1,-1,1,337,6711] 2 [-7:66:1]&[3:86:1] 60030bh2 [1,-1,1,-3983,87927] 2 [63:258:1]&[-482:2847:8]
60030bi (4 curves)	0	2- 3- 5+ 23- 29+	2- 3- 5+  0  4  6 -2 -4
Curve Equation t 60030bi1 [1,-1,1,1758865702,29270752713497] 2 60030bi2 [1,-1,1,-10320729818,279550308211481] 4 60030bi3 [1,-1,1,-63312729818,-5915553640588519] 2 60030bi4 [1,-1,1,-150602258138,22492400853736217] 2
60030bj (2 curves)	0	2- 3- 5+ 23- 29+	2- 3- 5+  2  3 -1 -6 -7
Curve Equation t 60030bj1 [1,-1,1,-12038,-490219] 1 60030bj2 [1,-1,1,-136013,19178741] 3
60030bk (2 curves)	1	2- 3- 5+ 23- 29-	2- 3- 5+  2 -6  0 -6  0
Curve Equation t Generators 60030bk1 [1,-1,1,-359843,83173731] 2 [353:-384:1] 60030bk2 [1,-1,1,-364163,81077667] 2 [-193:12102:1]
60030bl (1 curve)	1	2- 3- 5+ 23- 29-	2- 3- 5+  4 -5 -3  4  1
Curve Equation t Generators 60030bl1 [1,-1,1,-2873,-32903] 1 [-13:52:1]
60030bm (2 curves)	1	2- 3- 5- 23+ 29-	2- 3- 5-  0 -2 -6  0 -4
Curve Equation t Generators 60030bm1 [1,-1,1,-249512,-46238101] 2 [-273:1351:1] 60030bm2 [1,-1,1,110488,-168926101] 2 [987:-30509:1]
60030bn (4 curves)	1	2- 3- 5- 23+ 29-	2- 3- 5- -4  4 -2  2  4
Curve Equation t Generators 60030bn1 [1,-1,1,-8177,58529] 4 [-93:136:1] 60030bn2 [1,-1,1,-80177,-8667871] 4 [-173:136:1] 60030bn3 [1,-1,1,-31577,-19107151] 2 [313:1108:1] 60030bn4 [1,-1,1,-1280777,-557582191] 2 [40353:-8123012:1]
60030bo (2 curves)	1	2- 3- 5- 23+ 29-	2- 3- 5- -4  6  2  0 -6
Curve Equation t Generators 60030bo1 [1,-1,1,-437,162749] 2 [-3:406:1] 60030bo2 [1,-1,1,-47417,3939941] 2 [171:-986:1]
60030bp (2 curves)	1	2- 3- 5- 23- 29+	2- 3- 5-  2  0  5 -6 -7
Curve Equation t Generators 60030bp1 [1,-1,1,-7052,-234961] 1 [423:8293:1] 60030bp2 [1,-1,1,36013,-638989] 3 [45:1012:1]
60030bq (2 curves)	1	2- 3- 5- 23- 29+	2- 3- 5- -2  2 -6 -4  4
Curve Equation t Generators 60030bq1 [1,-1,1,24076723,-159073154571] 2 [10127:-1064904:1] 60030bq2 [1,-1,1,-334241357,-2156911441419] 2 [-9949:-423516:1]
60030br (1 curve)	1	2- 3- 5- 23- 29+	2- 3- 5- -2 -3 -1  6 -1
Curve Equation t Generators 60030br1 [1,-1,1,-9122,337601] 1 [55:-23:1]
60030bs (2 curves)	1	2- 3- 5- 23- 29+	2- 3- 5- -2 -6  4  2 -4
Curve Equation t Generators 60030bs1 [1,-1,1,-365387,-84848101] 2 [-353:406:1] 60030bs2 [1,-1,1,-452867,-41073109] 2 [-579:5464:1]
60030bt (2 curves)	1	2- 3- 5- 23- 29+	2- 3- 5-  4  0 -4  0 -4
Curve Equation t Generators 60030bt1 [1,-1,1,463,-1411] 2 [16328:100241:512] 60030bt2 [1,-1,1,-1967,-10159] 2 [1118:11907:8]
60030bu (1 curve)	0	2- 3- 5- 23- 29-	2- 3- 5-  4  6 -1 -6 -7
Curve Equation t 60030bu1 [1,-1,1,-244742,-46580331] 1

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