Cremona's table of elliptic curves

70800 = 2⁴ · 3 · 5² · 59

Class	r	Atkin-Lehner	Eigenvalues
70800a (1 curve)	1	2+ 3+ 5+ 59+	2+ 3+ 5+ -1  0 -2 -1  2
Curve Equation t Generators 70800a1 [0,-1,0,89792,-7381088] 1 [13805:245916:125]
70800b (1 curve)	1	2+ 3+ 5+ 59+	2+ 3+ 5+ -1 -2  5 -1  6
Curve Equation t Generators 70800b1 [0,-1,0,-4008,100512] 1 [22:150:1]
70800c (1 curve)	1	2+ 3+ 5+ 59+	2+ 3+ 5+  2 -3  1  5 -1
Curve Equation t Generators 70800c1 [0,-1,0,-633,5637] 1 [-28:25:1]
70800d (2 curves)	1	2+ 3+ 5+ 59+	2+ 3+ 5+  4  0 -4 -6 -4
Curve Equation t Generators 70800d1 [0,-1,0,-2883,53262] 2 [102:900:1] 70800d2 [0,-1,0,4492,274512] 2 [37:700:1]
70800e (2 curves)	1	2+ 3+ 5+ 59+	2+ 3+ 5+ -4  0  4  2 -4
Curve Equation t Generators 70800e1 [0,-1,0,-233883,-43457238] 2 [19866:969375:8] 70800e2 [0,-1,0,-226508,-46333488] 2 [2062104038:100662890625:830584]
70800f (1 curve)	1	2+ 3+ 5+ 59+	2+ 3+ 5+  5 -3 -1  7 -6
Curve Equation t Generators 70800f1 [0,-1,0,-7408,265312] 1 [82:450:1]
70800g (1 curve)	0	2+ 3+ 5+ 59-	2+ 3+ 5+  4 -3  5 -3 -2
Curve Equation t 70800g1 [0,-1,0,-10208,618912] 1
70800h (2 curves)	2	2+ 3+ 5+ 59-	2+ 3+ 5+ -4  0  4 -6 -4
Curve Equation t Generators 70800h1 [0,-1,0,117,8262] 2 [18:126:1]&[62:500:1] 70800h2 [0,-1,0,-5508,154512] 2 [-294:4425:8]&[12:300:1]
70800i (1 curve)	0	2+ 3+ 5- 59+	2+ 3+ 5-  4  1 -3 -3  7
Curve Equation t 70800i1 [0,-1,0,-193,157] 1
70800j (1 curve)	1	2+ 3+ 5- 59-	2+ 3+ 5- -5 -3  7 -2 -6
Curve Equation t Generators 70800j1 [0,-1,0,3792,-29088] 1 [42:-450:1]
70800k (1 curve)	0	2+ 3- 5+ 59+	2+ 3- 5+  1  6  3 -7  2
Curve Equation t 70800k1 [0,1,0,-285408,-96118812] 1
70800l (4 curves)	1	2+ 3- 5+ 59-	2+ 3- 5+  0  4 -2 -2  4
Curve Equation t Generators 70800l1 [0,1,0,-1383,-46512] 2 [11274:423225:8] 70800l2 [0,1,0,-29508,-1959012] 4 [15049694:561602475:10648] 70800l3 [0,1,0,-37008,-894012] 2 [-43704:769006:729] 70800l4 [0,1,0,-472008,-124974012] 2 [638597652381458:21304907219969325:429685207336]
70800m (1 curve)	1	2+ 3- 5+ 59-	2+ 3- 5+ -2  3 -3 -1 -1
Curve Equation t Generators 70800m1 [0,1,0,-333033,70786563] 1 [-16494:184375:27]
70800n (1 curve)	1	2+ 3- 5+ 59-	2+ 3- 5+ -3 -2  1  7 -2
Curve Equation t Generators 70800n1 [0,1,0,-897008,345569988] 1 [1288:36450:1]
70800o (1 curve)	1	2+ 3- 5+ 59-	2+ 3- 5+ -4 -3  5 -7  3
Curve Equation t Generators 70800o1 [0,1,0,-6033,163563] 1 [154:1875:8]
70800p (1 curve)	1	2+ 3- 5+ 59-	2+ 3- 5+  5 -3 -7  2 -6
Curve Equation t Generators 70800p1 [0,1,0,152,-172] 1 [2:12:1]
70800q (1 curve)	1	2+ 3- 5- 59+	2+ 3- 5-  1  0  2  1  2
Curve Equation t Generators 70800q1 [0,1,0,3592,-57612] 1 [34:324:1]
70800r (1 curve)	1	2+ 3- 5- 59+	2+ 3- 5- -4  1  3  3  7
Curve Equation t Generators 70800r1 [0,1,0,-4833,9963] 1 [-42:375:1]
70800s (1 curve)	2	2+ 3- 5- 59-	2+ 3- 5- -4 -3 -5  3 -2
Curve Equation t Generators 70800s1 [0,1,0,-408,4788] 1 [-22:60:1]&[18:60:1]
70800t (1 curve)	0	2- 3+ 5+ 59+	2- 3+ 5+  0 -2  0  0  4
Curve Equation t 70800t1 [0,-1,0,-1968,-33408] 1
70800u (4 curves)	0	2- 3+ 5+ 59+	2- 3+ 5+  0  4 -6  6  4
Curve Equation t 70800u1 [0,-1,0,-37008,2752512] 2 70800u2 [0,-1,0,-39008,2440512] 4 70800u3 [0,-1,0,78992,14240512] 2 70800u4 [0,-1,0,-189008,-29359488] 2
70800v (4 curves)	0	2- 3+ 5+ 59+	2- 3+ 5+  0 -4  6 -2 -4
Curve Equation t 70800v1 [0,-1,0,-13808,626112] 2 70800v2 [0,-1,0,-21808,-173888] 4 70800v3 [0,-1,0,86192,-1469888] 2 70800v4 [0,-1,0,-257808,-50205888] 2
70800w (1 curve)	0	2- 3+ 5+ 59+	2- 3+ 5+ -1  3  1  7  4
Curve Equation t 70800w1 [0,-1,0,-2008,-105488] 1
70800x (1 curve)	0	2- 3+ 5+ 59+	2- 3+ 5+  2 -3 -3 -1 -3
Curve Equation t 70800x1 [0,-1,0,-50533,-4344563] 1
70800y (1 curve)	0	2- 3+ 5+ 59+	2- 3+ 5+ -4  6  0 -4  0
Curve Equation t 70800y1 [0,-1,0,4792,-11088] 1
70800z (2 curves)	1	2- 3+ 5+ 59-	2- 3+ 5+  0  0  4 -2  0
Curve Equation t Generators 70800z1 [0,-1,0,-90633,10725012] 2 [-1574:36575:8] 70800z2 [0,-1,0,-1457508,677760012] 2 [17150606:533060675:10648]
70800ba (1 curve)	1	2- 3+ 5+ 59-	2- 3+ 5+  0  3  1 -5  0
Curve Equation t Generators 70800ba1 [0,-1,0,-48,4032] 1 [8:-64:1]
70800bb (2 curves)	1	2- 3+ 5+ 59-	2- 3+ 5+  0  4  0  2 -4
Curve Equation t Generators 70800bb1 [0,-1,0,-9404408,11071155312] 2 [1403734959628:-845399770873856:3869893] 70800bb2 [0,-1,0,-5308408,20770483312] 2 [-13014592244:92840774400:3869893]
70800bc (2 curves)	1	2- 3+ 5+ 59-	2- 3+ 5+  0  4 -6  2 -4
Curve Equation t Generators 70800bc1 [0,-1,0,267,-4788] 2 [586:5075:8] 70800bc2 [0,-1,0,-3108,-58788] 2 [231238:1427525:2744]
70800bd (2 curves)	1	2- 3+ 5+ 59-	2- 3+ 5+  0 -4 -4 -6  4
Curve Equation t Generators 70800bd1 [0,-1,0,-1208,12912] 2 [-38:50:1] 70800bd2 [0,-1,0,2792,76912] 2 [36:-472:1]
70800be (1 curve)	1	2- 3+ 5+ 59-	2- 3+ 5+  0  5 -1  3 -5
Curve Equation t Generators 70800be1 [0,-1,0,-44133,-3553863] 1 [-3273:46:27]
70800bf (1 curve)	1	2- 3+ 5+ 59-	2- 3+ 5+  1  0 -1 -7 -4
Curve Equation t Generators 70800bf1 [0,-1,0,92,2812] 1 [-3:50:1]
70800bg (1 curve)	1	2- 3+ 5+ 59-	2- 3+ 5+  1 -3  5  2  2
Curve Equation t Generators 70800bg1 [0,-1,0,-205208,-46691088] 1 [281203958:7230143034:300763]
70800bh (1 curve)	1	2- 3+ 5+ 59-	2- 3+ 5+ -1  2 -1 -7  6
Curve Equation t Generators 70800bh1 [0,-1,0,-13408,21997312] 1 [-78:4750:1]
70800bi (1 curve)	1	2- 3+ 5+ 59-	2- 3+ 5+ -1  5 -1 -1  0
Curve Equation t Generators 70800bi1 [0,-1,0,-286208,-58841088] 1 [672:7200:1]
70800bj (1 curve)	1	2- 3+ 5+ 59-	2- 3+ 5+  2 -1 -1  5  3
Curve Equation t Generators 70800bj1 [0,-1,0,-3133,53137] 1 [-3:250:1]
70800bk (1 curve)	1	2- 3+ 5+ 59-	2- 3+ 5+ -2  0 -4  0  0
Curve Equation t Generators 70800bk1 [0,-1,0,-28,-68] 1 [33:184:1]
70800bl (1 curve)	1	2- 3+ 5+ 59-	2- 3+ 5+ -2  0 -4  8  8
Curve Equation t Generators 70800bl1 [0,-1,0,-18477708,30577916412] 1 [13860384146033:5840609184716:5611284433]
70800bm (1 curve)	1	2- 3+ 5+ 59-	2- 3+ 5+  3  0  1 -2  3
Curve Equation t Generators 70800bm1 [0,-1,0,-18333,-980463] 1 [6173:484846:1]
70800bn (1 curve)	1	2- 3+ 5+ 59-	2- 3+ 5+ -3 -1  5  3 -2
Curve Equation t Generators 70800bn1 [0,-1,0,103992,13654512] 1 [-78:2250:1]
70800bo (1 curve)	1	2- 3+ 5+ 59-	2- 3+ 5+ -3 -4 -7 -3  4
Curve Equation t Generators 70800bo1 [0,-1,0,-7908,-469188] 1 [137:1000:1]
70800bp (1 curve)	1	2- 3+ 5+ 59-	2- 3+ 5+ -5  0  2  3 -6
Curve Equation t Generators 70800bp1 [0,-1,0,237592,-664433808] 1 [34779836:1332855243:21952]
70800bq (1 curve)	1	2- 3+ 5+ 59-	2- 3+ 5+ -5 -6  5 -3  6
Curve Equation t Generators 70800bq1 [0,-1,0,-28408,1939312] 1 [162:1250:1]
70800br (1 curve)	1	2- 3+ 5- 59+	2- 3+ 5-  0 -3 -7 -3 -1
Curve Equation t Generators 70800br1 [0,-1,0,-693,7257] 1 [17:-10:1]
70800bs (1 curve)	1	2- 3+ 5- 59+	2- 3+ 5- -1 -2 -3  3  4
Curve Equation t Generators 70800bs1 [0,-1,0,-1208,-59088] 1 [442:9250:1]
70800bt (1 curve)	1	2- 3+ 5- 59+	2- 3+ 5-  3  3  5  6 -6
Curve Equation t Generators 70800bt1 [0,-1,0,-207208,36412912] 1 [-422:6966:1]
70800bu (1 curve)	1	2- 3+ 5- 59+	2- 3+ 5-  3  6 -1  3 -4
Curve Equation t Generators 70800bu1 [0,-1,0,-23168,-1363968] 1 [267542:1910470:1331]
70800bv (1 curve)	1	2- 3+ 5- 59+	2- 3+ 5- -3  0  2 -3 -6
Curve Equation t Generators 70800bv1 [0,-1,0,-159208,-24403088] 1 [6301:499098:1]
70800bw (1 curve)	1	2- 3+ 5- 59+	2- 3+ 5- -5 -2 -5 -5  4
Curve Equation t Generators 70800bw1 [0,-1,0,-77968,8405632] 1 [162:-10:1]
70800bx (1 curve)	2	2- 3+ 5- 59-	2- 3+ 5-  0 -1 -5 -3 -1
Curve Equation t Generators 70800bx1 [0,-1,0,-1119333,456186537] 1 [193:15726:1]&[617:-250:1]
70800by (1 curve)	0	2- 3+ 5- 59-	2- 3+ 5-  0 -1 -5 -3 -4
Curve Equation t 70800by1 [0,-1,0,-668408,-210111888] 1
70800bz (2 curves)	2	2- 3+ 5- 59-	2- 3+ 5-  0 -4 -2  0 -4
Curve Equation t Generators 70800bz1 [0,-1,0,-113,-228] 2 [-8:10:1]&[-4:12:1] 70800bz2 [0,-1,0,-1588,-23828] 2 [57:260:1]&[157:1890:1]
70800ca (1 curve)	0	2- 3+ 5- 59-	2- 3+ 5- -1  0 -1 -6  5
Curve Equation t 70800ca1 [0,-1,0,-19333,5833837] 1
70800cb (1 curve)	2	2- 3+ 5- 59-	2- 3+ 5- -3  0 -2  1  2
Curve Equation t Generators 70800cb1 [0,-1,0,1792,54912] 1 [-22:66:1]&[-8:200:1]
70800cc (2 curves)	0	2- 3+ 5- 59-	2- 3+ 5-  4 -3 -1  3 -2
Curve Equation t 70800cc1 [0,-1,0,66792,29724912] 1 70800cc2 [0,-1,0,-5603208,5110044912] 1
70800cd (2 curves)	0	2- 3+ 5- 59-	2- 3+ 5-  4  4  4 -4  0
Curve Equation t 70800cd1 [0,-1,0,-2315333,1337577912] 2 70800cd2 [0,-1,0,-139708,3748170412] 2
70800ce (1 curve)	0	2- 3+ 5- 59-	2- 3+ 5- -5 -2  1  5  0
Curve Equation t 70800ce1 [0,-1,0,-32201248,-74330263808] 1
70800cf (2 curves)	1	2- 3- 5+ 59+	2- 3- 5+  0  0  4  6  0
Curve Equation t Generators 70800cf1 [0,1,0,367,738] 2 [1674:24375:8] 70800cf2 [0,1,0,-1508,4488] 2 [3708978:-53101875:17576]
70800cg (1 curve)	1	2- 3- 5+ 59+	2- 3- 5+  1  2 -3  5  6
Curve Equation t Generators 70800cg1 [0,1,0,6592,-4812] 1 [28:450:1]
70800ch (1 curve)	1	2- 3- 5+ 59+	2- 3- 5+  1  5  3 -1 -6
Curve Equation t Generators 70800ch1 [0,1,0,-441408,-5240932812] 1 [3402:180672:1]
70800ci (2 curves)	1	2- 3- 5+ 59+	2- 3- 5+  2 -3 -5  3 -5
Curve Equation t Generators 70800ci1 [0,1,0,-11149533,10953729063] 1 [63:101250:1] 70800ci2 [0,1,0,-842695533,9415452249063] 1 [5696229:11718750:343]
70800cj (1 curve)	1	2- 3- 5+ 59+	2- 3- 5+  3  0 -2  3 -6
Curve Equation t Generators 70800cj1 [0,1,0,-6368,-197772] 1 [762:20928:1]
70800ck (1 curve)	1	2- 3- 5+ 59+	2- 3- 5+ -3  3 -5 -6 -6
Curve Equation t Generators 70800ck1 [0,1,0,-8288,287988] 1 [34:216:1]
70800cl (1 curve)	0	2- 3- 5+ 59-	2- 3- 5+  0 -1  5  3 -4
Curve Equation t 70800cl1 [0,1,0,-16710208,-26297406412] 1
70800cm (6 curves)	0	2- 3- 5+ 59-	2- 3- 5+  0 -4  2  6 -4
Curve Equation t 70800cm1 [0,1,0,1245992,498355988] 2 70800cm2 [0,1,0,-6946008,4643507988] 4 70800cm3 [0,1,0,-44706008,-111581772012] 2 70800cm4 [0,1,0,-100258008,386289587988] 4 70800cm5 [0,1,0,-89458008,472754387988] 2 70800cm6 [0,1,0,-1604050008,24726666899988] 2
70800cn (1 curve)	0	2- 3- 5+ 59-	2- 3- 5+  0  5  5  3  5
Curve Equation t 70800cn1 [0,1,0,-2133,15363] 1
70800co (1 curve)	0	2- 3- 5+ 59-	2- 3- 5+  1  0  1  6  5
Curve Equation t 70800co1 [0,1,0,-483333,728262963] 1
70800cp (2 curves)	2	2- 3- 5+ 59-	2- 3- 5+ -1 -3 -5  3 -8
Curve Equation t Generators 70800cp1 [0,1,0,3792,69588] 1 [-12:150:1]&[-6:216:1] 70800cp2 [0,1,0,-86208,9825588] 1 [-132:4350:1]&[282:2832:1]
70800cq (2 curves)	0	2- 3- 5+ 59-	2- 3- 5+ -2  3  1 -3  5
Curve Equation t 70800cq1 [0,1,0,-112133,-14258637] 1 70800cq2 [0,1,0,-7732133,8272881363] 1
70800cr (1 curve)	0	2- 3- 5+ 59-	2- 3- 5+  3  0  2 -1  2
Curve Equation t 70800cr1 [0,1,0,72,468] 1
70800cs (1 curve)	0	2- 3- 5+ 59-	2- 3- 5+ -3  2 -1  3  2
Curve Equation t 70800cs1 [0,1,0,314992,-924876012] 1
70800ct (1 curve)	0	2- 3- 5+ 59-	2- 3- 5+ -3  3  5 -1  2
Curve Equation t 70800ct1 [0,1,0,-288408,-123784812] 1
70800cu (2 curves)	2	2- 3- 5+ 59-	2- 3- 5+ -4 -3  1 -3 -2
Curve Equation t Generators 70800cu1 [0,1,0,2672,238868] 1 [-46:144:1]&[-28:378:1] 70800cu2 [0,1,0,-224128,40790708] 1 [-406:8064:1]&[284:-354:1]
70800cv (2 curves)	2	2- 3- 5+ 59-	2- 3- 5+ -4 -3  1 -3 -5
Curve Equation t Generators 70800cv1 [0,1,0,-12533,-491937] 1 [-77:150:1]&[-62:225:1] 70800cv2 [0,1,0,-228533,41898063] 1 [1303:-44250:1]&[-113:8142:1]
70800cw (1 curve)	0	2- 3- 5- 59+	2- 3- 5-  0 -2  0  0  4
Curve Equation t 70800cw1 [0,1,0,-49208,-4274412] 1
70800cx (1 curve)	0	2- 3- 5- 59+	2- 3- 5-  0 -3  7  3 -1
Curve Equation t 70800cx1 [0,1,0,-17333,872463] 1
70800cy (1 curve)	0	2- 3- 5- 59+	2- 3- 5-  1 -2  3 -3  4
Curve Equation t 70800cy1 [0,1,0,-48,-492] 1
70800cz (1 curve)	0	2- 3- 5- 59+	2- 3- 5- -3  6  1 -3 -4
Curve Equation t 70800cz1 [0,1,0,-579208,-171654412] 1
70800da (1 curve)	0	2- 3- 5- 59+	2- 3- 5-  4  6  0  4  0
Curve Equation t 70800da1 [0,1,0,192,-12] 1
70800db (1 curve)	0	2- 3- 5- 59+	2- 3- 5-  5 -2  5  5  4
Curve Equation t 70800db1 [0,1,0,-1949208,1046805588] 1
70800dc (1 curve)	1	2- 3- 5- 59-	2- 3- 5-  0 -1  5  3 -1
Curve Equation t Generators 70800dc1 [0,1,0,-44773,3631583] 1 [119:-54:1]
70800dd (1 curve)	1	2- 3- 5- 59-	2- 3- 5-  0  3 -1  5  0
Curve Equation t Generators 70800dd1 [0,1,0,-1208,501588] 1 [67:852:1]
70800de (2 curves)	1	2- 3- 5- 59-	2- 3- 5-  0 -4  2  0 -4
Curve Equation t Generators 70800de1 [0,1,0,-2833,-34162] 2 [-4818:29323:216] 70800de2 [0,1,0,-39708,-3057912] 2 [-8456574:-1444211:74088]
70800df (1 curve)	1	2- 3- 5- 59-	2- 3- 5- -1 -3 -5 -2  2
Curve Equation t Generators 70800df1 [0,1,0,-8208,-376812] 1 [258:-3840:1]
70800dg (1 curve)	1	2- 3- 5- 59-	2- 3- 5-  2  0  4  0  0
Curve Equation t Generators 70800dg1 [0,1,0,-708,-9912] 1 [69251:19950:2197]
70800dh (1 curve)	1	2- 3- 5- 59-	2- 3- 5-  2  0  4 -8  8
Curve Equation t Generators 70800dh1 [0,1,0,-739108,244327688] 1 [503:270:1]
70800di (1 curve)	1	2- 3- 5- 59-	2- 3- 5- -3  0 -1  2  3
Curve Equation t Generators 70800di1 [0,1,0,-733,-8137] 1 [67:498:1]
70800dj (2 curves)	1	2- 3- 5- 59-	2- 3- 5- -4  4 -4  4  0
Curve Equation t Generators 70800dj1 [0,1,0,-92613,10663578] 2 [1146:4779:8] 70800dj2 [0,1,0,-5588,29983128] 2 [-137:5310:1]
70800dk (1 curve)	1	2- 3- 5- 59-	2- 3- 5-  5  0 -2 -3 -6
Curve Equation t Generators 70800dk1 [0,1,0,5939792,-83042346412] 1 [2941694:-265420800:343]
70800dl (1 curve)	1	2- 3- 5- 59-	2- 3- 5-  5 -2 -1 -5  0
Curve Equation t Generators 70800dl1 [0,1,0,-805031208,-9292893038412] 1 [17376036438778065652:6481124570595377247750:119742968724569]

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