Cremona's table of elliptic curves

128502 = 2 · 3² · 11² · 59

Class	r	Atkin-Lehner	Eigenvalues
128502a (1 curve)	1	2+ 3+ 11+ 59+	2+ 3+ -1 -4 11+  4 -5  1
Curve Equation t Generators 128502a1 [1,-1,0,60,72] 1 [3:-18:1]
128502b (2 curves)	1	2+ 3+ 11+ 59+	2+ 3+  2 -2 11+  2  2  8
Curve Equation t Generators 128502b1 [1,-1,0,-2481,-46755] 2 [-27:15:1] 128502b2 [1,-1,0,-3801,9477] 2 [61:12:1]
128502c (1 curve)	0	2+ 3+ 11+ 59-	2+ 3+  1  4 11+ -4 -5 -1
Curve Equation t 128502c1 [1,-1,0,65136,3109112] 1
128502d (2 curves)	0	2+ 3+ 11+ 59-	2+ 3+ -2  2 11+ -2  2 -8
Curve Equation t 128502d1 [1,-1,0,-2702013,-1701849979] 2 128502d2 [1,-1,0,-4139493,307459565] 2
128502e (2 curves)	0	2+ 3+ 11- 59+	2+ 3+  4 -2 11- -6  2  2
Curve Equation t 128502e1 [1,-1,0,-2884965,1832312213] 2 128502e2 [1,-1,0,-7066725,-4687051627] 2
128502f (2 curves)	1	2+ 3+ 11- 59-	2+ 3+  0  4 11-  2  4  0
Curve Equation t Generators 128502f1 [1,-1,0,-2382,18772] 2 [-4:170:1] 128502f2 [1,-1,0,-31422,2150308] 2 [113:125:1]
128502g (2 curves)	1	2+ 3+ 11- 59-	2+ 3+  2  0 11-  4 -4  8
Curve Equation t Generators 128502g1 [1,-1,0,-477186,126850004] 2 [380:342:1] 128502g2 [1,-1,0,-346506,197756972] 2 [3647:215964:1]
128502h (2 curves)	0	2+ 3- 11+ 59+	2+ 3-  0  4 11+  2  2 -2
Curve Equation t 128502h1 [1,-1,0,-2614167,1627454857] 2 128502h2 [1,-1,0,-2733957,1470218503] 2
128502i (2 curves)	0	2+ 3- 11+ 59+	2+ 3-  2 -4 11+ -2  4 -2
Curve Equation t 128502i1 [1,-1,0,-105606,-12186828] 2 128502i2 [1,-1,0,-359046,68863284] 2
128502j (2 curves)	2	2+ 3- 11+ 59+	2+ 3- -2 -2 11+  2  0  2
Curve Equation t Generators 128502j1 [1,-1,0,-963,10885] 2 [-30:125:1]&[-19:158:1] 128502j2 [1,-1,0,1017,48505] 2 [17:-274:1]&[-19:158:1]
128502k (2 curves)	0	2+ 3- 11+ 59+	2+ 3- -2 -4 11+ -2  4  2
Curve Equation t 128502k1 [1,-1,0,-1164708,463539280] 2 128502k2 [1,-1,0,-18414468,30419472496] 2
128502l (2 curves)	1	2+ 3- 11- 59+	2+ 3-  0  0 11- -4  2  4
Curve Equation t Generators 128502l1 [1,-1,0,-2576052,-1472824688] 2 [-784:8420:1] 128502l2 [1,-1,0,2694708,-6729880712] 2 [1587:38471:1]
128502m (1 curve)	1	2+ 3- 11- 59+	2+ 3-  1  0 11- -7  5 -8
Curve Equation t Generators 128502m1 [1,-1,0,-3834,-116748] 1 [348:6198:1]
128502n (1 curve)	1	2+ 3- 11- 59+	2+ 3-  2 -2 11-  4  0 -2
Curve Equation t Generators 128502n1 [1,-1,0,-171,985] 1 [8:5:1]
128502o (4 curves)	1	2+ 3- 11- 59+	2+ 3- -2  0 11-  6  2 -4
Curve Equation t Generators 128502o1 [1,-1,0,-37593,-2782499] 2 [-106:107:1] 128502o2 [1,-1,0,-59373,828625] 4 [-228:1687:1] 128502o3 [1,-1,0,234657,6415195] 2 [15:3145:1] 128502o4 [1,-1,0,-701883,226092631] 2 [5613:413252:1]
128502p (1 curve)	1	2+ 3- 11- 59+	2+ 3- -2  3 11- -3 -1  8
Curve Equation t Generators 128502p1 [1,-1,0,60417,-7748339] 1 [178349:75229994:1]
128502q (1 curve)	1	2+ 3- 11- 59+	2+ 3-  3  0 11-  2 -1  7
Curve Equation t Generators 128502q1 [1,-1,0,-92043,10773373] 1 [-349:719:1]
128502r (2 curves)	1	2+ 3- 11- 59+	2+ 3- -3 -5 11-  4  6  1
Curve Equation t Generators 128502r1 [1,-1,0,-279351,66539853] 1 [322:2985:1] 128502r2 [1,-1,0,1969434,-385465932] 1 [7341212:373446706:4913]
128502s (2 curves)	1	2+ 3- 11- 59+	2+ 3-  4  0 11- -2 -8 -4
Curve Equation t Generators 128502s1 [1,-1,0,-68085,3160053] 2 [34:923:1] 128502s2 [1,-1,0,-547245,-153525267] 2 [-55645:191829:125]
128502t (2 curves)	1	2+ 3- 11- 59+	2+ 3- -4  4 11-  4  6  4
Curve Equation t Generators 128502t1 [1,-1,0,-439434,-107231756] 2 [-444:670:1] 128502t2 [1,-1,0,257526,-415985036] 2 [1631:-66700:1]
128502u (1 curve)	0	2+ 3- 11- 59-	2+ 3-  0  1 11- -1  1  0
Curve Equation t 128502u1 [1,-1,0,-779202,264944884] 1
128502v (2 curves)	0	2+ 3- 11- 59-	2+ 3-  0  1 11- -5 -3 -8
Curve Equation t 128502v1 [1,-1,0,10323,-309501] 1 128502v2 [1,-1,0,-234702,-44208180] 1
128502w (1 curve)	0	2+ 3- 11- 59-	2+ 3-  1 -4 11-  6 -3 -5
Curve Equation t 128502w1 [1,-1,0,-1114614,731795796] 1
128502x (1 curve)	0	2+ 3- 11- 59-	2+ 3- -1  2 11-  1  7  6
Curve Equation t 128502x1 [1,-1,0,-19008765,31903892037] 1
128502y (1 curve)	0	2+ 3- 11- 59-	2+ 3-  2  2 11-  4 -8 -6
Curve Equation t 128502y1 [1,-1,0,129024,199575360] 1
128502z (2 curves)	0	2+ 3- 11- 59-	2+ 3- -2  2 11-  6  6  4
Curve Equation t 128502z1 [1,-1,0,-1191933,501168465] 2 128502z2 [1,-1,0,-1181043,510766911] 2
128502ba (2 curves)	2	2+ 3- 11- 59-	2+ 3- -2 -2 11- -2  0  2
Curve Equation t Generators 128502ba1 [1,-1,0,-32148,680400] 2 [-129:1698:1]&[-306:11043:8] 128502ba2 [1,-1,0,-293508,-60634656] 2 [-327:708:1]&[-305:818:1]
128502bb (1 curve)	0	2+ 3- 11- 59-	2+ 3-  3  1 11-  2 -2 -3
Curve Equation t 128502bb1 [1,-1,0,522,26032] 1
128502bc (2 curves)	0	2+ 3- 11- 59-	2+ 3- -3 -4 11-  5 -3 -4
Curve Equation t 128502bc1 [1,-1,0,1326924,36765041616] 1 128502bc2 [1,-1,0,-795995316,8645085272016] 3
128502bd (1 curve)	0	2- 3+ 11+ 59+	2- 3+ -1  4 11+ -4  5 -1
Curve Equation t 128502bd1 [1,-1,1,7237,-117565] 1
128502be (2 curves)	0	2- 3+ 11+ 59+	2- 3+  2  2 11+ -2 -2 -8
Curve Equation t 128502be1 [1,-1,1,-300224,63131555] 2 128502be2 [1,-1,1,-459944,-11234077] 2
128502bf (1 curve)	1	2- 3+ 11+ 59-	2- 3+  1 -4 11+  4  5  1
Curve Equation t Generators 128502bf1 [1,-1,1,538,-2483] 1 [91:845:1]
128502bg (2 curves)	1	2- 3+ 11+ 59-	2- 3+ -2 -2 11+  2 -2  8
Curve Equation t Generators 128502bg1 [1,-1,1,-22331,1284715] 2 [95:70:1] 128502bg2 [1,-1,1,-34211,-221669] 2 [217:1484:1]
128502bh (2 curves)	1	2- 3+ 11- 59+	2- 3+  0  4 11-  2 -4  0
Curve Equation t Generators 128502bh1 [1,-1,1,-21440,-485405] 2 [-85:889:1] 128502bh2 [1,-1,1,-282800,-57775517] 2 [-301:241:1]
128502bi (2 curves)	1	2- 3+ 11- 59+	2- 3+ -2  0 11-  4  4  8
Curve Equation t Generators 128502bi1 [1,-1,1,-53021,-4680475] 2 [-135:124:1] 128502bi2 [1,-1,1,-38501,-7311499] 2 [421:-7350:1]
128502bj (2 curves)	2	2- 3+ 11- 59-	2- 3+ -4 -2 11- -6 -2  2
Curve Equation t Generators 128502bj1 [1,-1,1,-320552,-67756565] 2 [685:5465:1]&[-323:1577:1] 128502bj2 [1,-1,1,-785192,173856235] 2 [6097:-474223:1]&[773:4937:1]
128502bk (2 curves)	1	2- 3- 11+ 59+	2- 3-  0 -4 11+ -2 -2  2
Curve Equation t Generators 128502bk1 [1,-1,1,-21605,-1216839] 2 [-674:351:8] 128502bk2 [1,-1,1,-22595,-1098435] 2 [1438:5595:8]
128502bl (2 curves)	1	2- 3- 11+ 59+	2- 3-  2  4 11+  2 -4  2
Curve Equation t Generators 128502bl1 [1,-1,1,-12778349,16259003093] 2 [-2813:174436:1] 128502bl2 [1,-1,1,-43444589,-91526697259] 2 [-3965:137572:1]
128502bm (2 curves)	1	2- 3- 11+ 59+	2- 3- -2  2 11+ -2  0 -2
Curve Equation t Generators 128502bm1 [1,-1,1,-116546,-14138319] 2 [425:3387:1] 128502bm2 [1,-1,1,123034,-64929279] 2 [701:18765:1]
128502bn (2 curves)	1	2- 3- 11+ 59+	2- 3- -2  4 11+  2 -4 -2
Curve Equation t Generators 128502bn1 [1,-1,1,-9626,-345639] 2 [-63:119:1] 128502bn2 [1,-1,1,-152186,-22813095] 2 [-225:119:1]
128502bo (1 curve)	0	2- 3- 11- 59+	2- 3-  1  0 11-  7 -5  8
Curve Equation t 128502bo1 [1,-1,1,-463937,156783377] 1
128502bp (1 curve)	0	2- 3- 11- 59+	2- 3-  1 -2 11-  0 -1  5
Curve Equation t 128502bp1 [1,-1,1,-90877758962,10544747096540913] 1
128502bq (1 curve)	0	2- 3- 11- 59+	2- 3-  1 -2 11-  4 -7 -5
Curve Equation t 128502bq1 [1,-1,1,-131792,-21256023] 1
128502br (1 curve)	0	2- 3- 11- 59+	2- 3-  1  3 11-  4 -2  5
Curve Equation t 128502br1 [1,-1,1,-1204457,785746217] 1
128502bs (1 curve)	0	2- 3- 11- 59+	2- 3-  2  2 11- -4  0  2
Curve Equation t 128502bs1 [1,-1,1,-20714,-1248915] 1
128502bt (2 curves)	0	2- 3- 11- 59+	2- 3- -2 -2 11- -2  8 -2
Curve Equation t 128502bt1 [1,-1,1,-4957151,-282740169] 2 128502bt2 [1,-1,1,-52590011,146254990335] 2
128502bu (4 curves)	0	2- 3- 11- 59+	2- 3- -2  4 11- -2  2  4
Curve Equation t 128502bu1 [1,-1,1,-315719636,2159306782647] 4 128502bu2 [1,-1,1,-321295316,2079088359351] 4 128502bu3 [1,-1,1,285234124,9011962470327] 2 128502bu4 [1,-1,1,-1017035636,-9987831750729] 2
128502bv (1 curve)	0	2- 3- 11- 59+	2- 3-  4  1 11-  1 -7  4
Curve Equation t 128502bv1 [1,-1,1,-5468,478239] 1
128502bw (2 curves)	1	2- 3- 11- 59-	2- 3-  0  0 11- -4  6  4
Curve Equation t Generators 128502bw1 [1,-1,1,-3290,-55371] 2 [-43:93:1] 128502bw2 [1,-1,1,7600,-351579] 2 [382:2559:8]
128502bx (1 curve)	1	2- 3- 11- 59-	2- 3- -1  2 11-  4 -5  3
Curve Equation t Generators 128502bx1 [1,-1,1,36247342,-33991259695] 1 [148305:57085279:1]
128502by (1 curve)	1	2- 3- 11- 59-	2- 3- -1 -2 11- -1 -7 -6
Curve Equation t Generators 128502by1 [1,-1,1,-2300060588,-42457180119505] 1 [685920719:489847391279:1331]
128502bz (2 curves)	1	2- 3- 11- 59-	2- 3- -1 -3 11-  6 -2  5
Curve Equation t Generators 128502bz1 [1,-1,1,-27248,1789395] 1 [69:-519:1] 128502bz2 [1,-1,1,125212,-90906285] 1 [465:7995:1]
128502ca (2 curves)	1	2- 3- 11- 59-	2- 3-  2  2 11- -2 -2  0
Curve Equation t Generators 128502ca1 [1,-1,1,-129614,17962013] 2 [157:1131:1] 128502ca2 [1,-1,1,-86054,30193661] 2 [355:6477:1]
128502cb (1 curve)	1	2- 3- 11- 59-	2- 3-  2 -2 11- -4  8  6
Curve Equation t Generators 128502cb1 [1,-1,1,1066,-150235] 1 [63:373:1]
128502cc (1 curve)	1	2- 3- 11- 59-	2- 3-  2  3 11-  3  7 -4
Curve Equation t Generators 128502cc1 [1,-1,1,-4379,-111999] 1 [171786576023583118:2919136713530087337:534319900900136]
128502cd (2 curves)	1	2- 3- 11- 59-	2- 3- -2  2 11-  2  4 -6
Curve Equation t Generators 128502cd1 [1,-1,1,-54430421,-152870110819] 2 [412424217:-39578840492:29791] 128502cd2 [1,-1,1,-102063281,155047749365] 2 [51759:11529742:1]
128502ce (2 curves)	1	2- 3- 11- 59-	2- 3- -2 -2 11- -6  2 -4
Curve Equation t Generators 128502ce1 [1,-1,1,-44564081,-103993339359] 2 [-3033:58628:1] 128502ce2 [1,-1,1,55798159,-505482444255] 2 [7175:510420:1]
128502cf (2 curves)	1	2- 3- 11- 59-	2- 3-  3 -2 11-  4 -3  1
Curve Equation t Generators 128502cf1 [1,-1,1,-13091,5214179] 1 [201:3166:1] 128502cf2 [1,-1,1,117589,-139213357] 1 [597:11680:1]
128502cg (2 curves)	1	2- 3- 11- 59-	2- 3- -3  4 11- -5  3  4
Curve Equation t Generators 128502cg1 [1,-1,1,10966,-27625111] 1 [337:3607:1] 128502cg2 [1,-1,1,-6578474,-6493386391] 1 [9049:816991:1]
128502ch (2 curves)	1	2- 3- 11- 59-	2- 3- -4  0 11-  0 -2 -4
Curve Equation t Generators 128502ch1 [1,-1,1,-25603502,-49712530755] 2 [-2887:13107:1] 128502ch2 [1,-1,1,-14452142,-93292045635] 2 [10937:-1033485:1]

Data from Elliptic Curve Data by J. E. Cremona.
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Part of Computational Number Theory
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