Cremona's table of elliptic curves

67320 = 2³ · 3² · 5 · 11 · 17

Class	r	Atkin-Lehner	Eigenvalues
67320a (2 curves)	1	2+ 3+ 5+ 11+ 17+	2+ 3+ 5+  0 11+ -4 17+ -6
Curve Equation t Generators 67320a1 [0,0,0,-6183,30618] 2 [-77:224:1] 67320a2 [0,0,0,-73683,7685118] 2 [-297:1836:1]
67320b (2 curves)	1	2+ 3+ 5+ 11+ 17+	2+ 3+ 5+ -4 11+  2 17+ -2
Curve Equation t Generators 67320b1 [0,0,0,-1323,-11178] 2 [-17:80:1] 67320b2 [0,0,0,4077,-79218] 2 [118:1430:1]
67320c (2 curves)	0	2+ 3+ 5+ 11+ 17-	2+ 3+ 5+ -2 11+  6 17-  4
Curve Equation t 67320c1 [0,0,0,-1502658,780042393] 2 67320c2 [0,0,0,-24705783,47265183018] 2
67320d (2 curves)	1	2+ 3+ 5+ 11- 17-	2+ 3+ 5+ -2 11-  2 17-  0
Curve Equation t Generators 67320d1 [0,0,0,-1863,5562] 2 [-14:170:1] 67320d2 [0,0,0,7317,44118] 2 [94:1250:1]
67320e (2 curves)	0	2+ 3+ 5- 11+ 17+	2+ 3+ 5-  0 11+  4 17+  2
Curve Equation t 67320e1 [0,0,0,-22647,1311786] 2 67320e2 [0,0,0,-22947,1275246] 2
67320f (1 curve)	0	2+ 3+ 5- 11+ 17+	2+ 3+ 5-  1 11+  0 17+ -2
Curve Equation t 67320f1 [0,0,0,-59427,5632254] 1
67320g (2 curves)	1	2+ 3+ 5- 11+ 17-	2+ 3+ 5- -2 11+ -2 17-  0
Curve Equation t Generators 67320g1 [0,0,0,-2322,-52839] 2 [112:1045:1] 67320g2 [0,0,0,-39447,-3015414] 2 [247:1520:1]
67320h (6 curves)	0	2+ 3- 5+ 11+ 17+	2+ 3- 5+  0 11+ -2 17+  4
Curve Equation t 67320h1 [0,0,0,-31098,-2110367] 2 67320h2 [0,0,0,-34743,-1584758] 4 67320h3 [0,0,0,102957,-11030978] 2 67320h4 [0,0,0,-230763,41500438] 4 67320h5 [0,0,0,66237,140876638] 2 67320h6 [0,0,0,-3664083,2699576782] 2
67320i (6 curves)	0	2+ 3- 5+ 11+ 17+	2+ 3- 5+  0 11+ -2 17+ -4
Curve Equation t 67320i1 [0,0,0,-9498,-8157247] 2 67320i2 [0,0,0,-668343,-208314358] 4 67320i3 [0,0,0,-1212843,179696342] 4 67320i4 [0,0,0,-10665363,-13406380162] 2 67320i5 [0,0,0,4509357,1389369422] 2 67320i6 [0,0,0,-15647043,23802708062] 2
67320j (4 curves)	0	2+ 3- 5+ 11+ 17+	2+ 3- 5+  4 11+  2 17+ -4
Curve Equation t 67320j1 [0,0,0,1977,253658] 2 67320j2 [0,0,0,-50043,4113542] 4 67320j3 [0,0,0,-141843,-15292978] 2 67320j4 [0,0,0,-790563,270552638] 2
67320k (2 curves)	1	2+ 3- 5+ 11+ 17-	2+ 3- 5+  0 11+  2 17-  6
Curve Equation t Generators 67320k1 [0,0,0,1077,-7882] 2 [1348:9945:64] 67320k2 [0,0,0,-5043,-67858] 2 [118:990:1]
67320l (1 curve)	1	2+ 3- 5+ 11+ 17-	2+ 3- 5+  1 11+  0 17-  0
Curve Equation t Generators 67320l1 [0,0,0,9357,2072558] 1 [2018:36207:8]
67320m (4 curves)	1	2+ 3- 5+ 11- 17+	2+ 3- 5+  0 11-  6 17+ -8
Curve Equation t Generators 67320m1 [0,0,0,9897,130858] 2 [221601:20077408:27] 67320m2 [0,0,0,-42123,1077622] 4 [-214:540:1] 67320m3 [0,0,0,-378723,-88929218] 2 [-10266:8596:27] 67320m4 [0,0,0,-537843,151677358] 2 [566:5346:1]
67320n (1 curve)	1	2+ 3- 5+ 11- 17+	2+ 3- 5+  3 11-  1 17+  5
Curve Equation t Generators 67320n1 [0,0,0,-4695123,3915791678] 1 [-833:85140:1]
67320o (4 curves)	0	2+ 3- 5+ 11- 17-	2+ 3- 5+  4 11- -6 17-  4
Curve Equation t 67320o1 [0,0,0,661902,-486271703] 2 67320o2 [0,0,0,-6719223,-5870064278] 4 67320o3 [0,0,0,-27787323,50436539782] 2 67320o4 [0,0,0,-103749123,-406739393138] 2
67320p (2 curves)	1	2+ 3- 5- 11+ 17+	2+ 3- 5- -2 11+  4 17+  2
Curve Equation t Generators 67320p1 [0,0,0,-1922187,1013448566] 2 [-1529:19440:1] 67320p2 [0,0,0,-3690867,-1143279826] 2 [80758:22943250:1]
67320q (4 curves)	1	2+ 3- 5- 11+ 17+	2+ 3- 5-  4 11+ -2 17+  0
Curve Equation t Generators 67320q1 [0,0,0,1833,-41686] 2 [65095:1490272:125] 67320q2 [0,0,0,-12747,-429514] 4 [2087:95200:1] 67320q3 [0,0,0,-67827,6433454] 2 [118:270:1] 67320q4 [0,0,0,-190947,-32113474] 2 [722078:32350660:343]
67320r (2 curves)	0	2+ 3- 5- 11+ 17-	2+ 3- 5-  4 11+  4 17- -4
Curve Equation t 67320r1 [0,0,0,-471387,-124130266] 2 67320r2 [0,0,0,-246387,-242885266] 2
67320s (1 curve)	0	2+ 3- 5- 11+ 17-	2+ 3- 5-  5 11+  5 17-  1
Curve Equation t 67320s1 [0,0,0,-147,-2306] 1
67320t (2 curves)	1	2- 3+ 5+ 11- 17+	2- 3+ 5+ -2 11- -2 17+  0
Curve Equation t Generators 67320t1 [0,0,0,-258,1957] 2 [6:-25:1] 67320t2 [0,0,0,-4383,111682] 2 [41:-30:1]
67320u (2 curves)	0	2- 3+ 5+ 11- 17-	2- 3+ 5+  0 11-  4 17-  2
Curve Equation t 67320u1 [0,0,0,-203823,-35418222] 2 67320u2 [0,0,0,-206523,-34431642] 2
67320v (1 curve)	0	2- 3+ 5+ 11- 17-	2- 3+ 5+  1 11-  0 17- -2
Curve Equation t 67320v1 [0,0,0,-6603,-208602] 1
67320w (2 curves)	1	2- 3+ 5- 11+ 17+	2- 3+ 5- -2 11+  2 17+  0
Curve Equation t Generators 67320w1 [0,0,0,-207,-206] 2 [-7:30:1] 67320w2 [0,0,0,813,-1634] 2 [27:200:1]
67320x (2 curves)	0	2- 3+ 5- 11- 17+	2- 3+ 5- -2 11-  6 17+  4
Curve Equation t 67320x1 [0,0,0,-166962,-28890459] 2 67320x2 [0,0,0,-2745087,-1750562334] 2
67320y (2 curves)	1	2- 3+ 5- 11- 17-	2- 3+ 5-  0 11- -4 17- -6
Curve Equation t Generators 67320y1 [0,0,0,-687,-1134] 2 [-23:50:1] 67320y2 [0,0,0,-8187,-284634] 2 [-53:20:1]
67320z (2 curves)	1	2- 3+ 5- 11- 17-	2- 3+ 5- -4 11-  2 17- -2
Curve Equation t Generators 67320z1 [0,0,0,-147,414] 2 [-5:32:1] 67320z2 [0,0,0,453,2934] 2 [10:92:1]
67320ba (2 curves)	1	2- 3- 5+ 11+ 17+	2- 3- 5+  0 11+  4 17+ -4
Curve Equation t Generators 67320ba1 [0,0,0,-203043,35214158] 2 [131:3296:1] 67320ba2 [0,0,0,-194043,38477558] 2 [94:4590:1]
67320bb (1 curve)	1	2- 3- 5+ 11+ 17+	2- 3- 5+ -3 11+ -6 17+ -6
Curve Equation t Generators 67320bb1 [0,0,0,-6724668,-6800966908] 1 [20960344:236261250:6859]
67320bc (1 curve)	0	2- 3- 5+ 11+ 17-	2- 3- 5+ -1 11+ -4 17-  0
Curve Equation t 67320bc1 [0,0,0,6913077,15117877798] 1
67320bd (2 curves)	0	2- 3- 5+ 11+ 17-	2- 3- 5+  2 11+ -4 17-  6
Curve Equation t 67320bd1 [0,0,0,-2883,-56018] 2 67320bd2 [0,0,0,-9003,260998] 2
67320be (1 curve)	0	2- 3- 5+ 11- 17+	2- 3- 5+  1 11-  4 17+  0
Curve Equation t 67320be1 [0,0,0,-9948,-560828] 1
67320bf (4 curves)	2	2- 3- 5+ 11- 17+	2- 3- 5+ -4 11- -2 17+ -4
Curve Equation t Generators 67320bf1 [0,0,0,-8418,297277] 2 [54:13:1]&[69:212:1] 67320bf2 [0,0,0,-8463,293938] 4 [74:-270:1]&[-51:770:1] 67320bf3 [0,0,0,717,897982] 2 [-61:792:1]&[27:968:1] 67320bf4 [0,0,0,-18363,-523802] 2 [-69:644:1]&[-37:324:1]
67320bg (4 curves)	1	2- 3- 5+ 11- 17-	2- 3- 5+  0 11-  2 17-  0
Curve Equation t Generators 67320bg1 [0,0,0,657,222642] 2 [-23:442:1] 67320bg2 [0,0,0,-51363,4373838] 4 [246:2574:1] 67320bg3 [0,0,0,-118683,-9480618] 2 [382:962:1] 67320bg4 [0,0,0,-816363,283904838] 2 [4514:13663:8]
67320bh (4 curves)	1	2- 3- 5+ 11- 17-	2- 3- 5+  0 11-  6 17-  4
Curve Equation t Generators 67320bh1 [0,0,0,-1983,31682] 2 [-19:250:1] 67320bh2 [0,0,0,-6483,-163618] 4 [-37:160:1] 67320bh3 [0,0,0,13317,-967498] 2 [458:10060:1] 67320bh4 [0,0,0,-98283,-11858938] 2 [-11548:1235:64]
67320bi (4 curves)	1	2- 3- 5+ 11- 17-	2- 3- 5+ -4 11- -2 17-  0
Curve Equation t Generators 67320bi1 [0,0,0,-7338,1665637] 2 [-58:1377:1] 67320bi2 [0,0,0,-260463,50923762] 4 [-283:10098:1] 67320bi3 [0,0,0,-408963,-13733138] 2 [-333:9248:1] 67320bi4 [0,0,0,-4161963,3268100662] 4 [1179:68:1]
67320bj (1 curve)	1	2- 3- 5+ 11- 17-	2- 3- 5+ -5 11- -2 17- -6
Curve Equation t Generators 67320bj1 [0,0,0,-588,-22012] 1 [64:-450:1]
67320bk (1 curve)	1	2- 3- 5- 11+ 17-	2- 3- 5- -1 11+ -7 17-  1
Curve Equation t Generators 67320bk1 [0,0,0,18213,540934] 1 [83:-1620:1]
67320bl (2 curves)	1	2- 3- 5- 11- 17+	2- 3- 5-  2 11- -4 17+  8
Curve Equation t Generators 67320bl1 [0,0,0,323133,33666734] 2 [22752340:1335339819:140608] 67320bl2 [0,0,0,-1445547,283758086] 2 [12770:361647:8]
67320bm (1 curve)	1	2- 3- 5- 11- 17+	2- 3- 5- -2 11- -3 17+  7
Curve Equation t Generators 67320bm1 [0,0,0,-1467,-5574474] 1 [202:1540:1]
67320bn (4 curves)	0	2- 3- 5- 11- 17-	2- 3- 5-  0 11-  6 17- -4
Curve Equation t 67320bn1 [0,0,0,-687,40754] 4 67320bn2 [0,0,0,-22467,1290926] 4 67320bn3 [0,0,0,-34347,-222586] 2 67320bn4 [0,0,0,-359067,82815446] 2
67320bo (1 curve)	0	2- 3- 5- 11- 17-	2- 3- 5-  3 11-  1 17- -5
Curve Equation t 67320bo1 [0,0,0,-509547,-143661706] 1
67320bp (1 curve)	0	2- 3- 5- 11- 17-	2- 3- 5-  3 11- -6 17-  2
Curve Equation t 67320bp1 [0,0,0,-3171612,2512149284] 1

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