Cremona's table of elliptic curves

70080 = 2⁶ · 3 · 5 · 73

Class	r	Atkin-Lehner	Eigenvalues
70080a (1 curve)	1	2+ 3+ 5+ 73+	2+ 3+ 5+  1  2  6  2  4
Curve Equation t Generators 70080a1 [0,-1,0,479,-2399] 1 [48:359:1]
70080b (2 curves)	1	2+ 3+ 5+ 73+	2+ 3+ 5+  2  2  4  0 -4
Curve Equation t Generators 70080b1 [0,-1,0,-2441,47241] 2 [31:20:1] 70080b2 [0,-1,0,-2561,42465] 2 [16:73:1]
70080c (1 curve)	1	2+ 3+ 5+ 73+	2+ 3+ 5+  2 -2  4 -5 -5
Curve Equation t Generators 70080c1 [0,-1,0,-1281,-17919] 1 [63:384:1]
70080d (2 curves)	1	2+ 3+ 5+ 73+	2+ 3+ 5+ -2  2  0 -4  4
Curve Equation t Generators 70080d1 [0,-1,0,-71201,6874785] 2 [-301:972:1] 70080d2 [0,-1,0,-226721,-33280479] 2 [-365:844:1]
70080e (2 curves)	1	2+ 3+ 5+ 73+	2+ 3+ 5+ -2 -6  4  0  4
Curve Equation t Generators 70080e1 [0,-1,0,-2561,-48639] 2 [-29:20:1] 70080e2 [0,-1,0,-4481,36225] 2 [136:1387:1]
70080f (2 curves)	0	2+ 3+ 5+ 73-	2+ 3+ 5+  2  2  2 -6  8
Curve Equation t 70080f1 [0,-1,0,-2001,-26415] 2 70080f2 [0,-1,0,4479,-167679] 2
70080g (2 curves)	0	2+ 3+ 5+ 73-	2+ 3+ 5+  2 -6  4 -3 -5
Curve Equation t 70080g1 [0,-1,0,-115361,-27017439] 1 70080g2 [0,-1,0,-11275361,-14569073439] 1
70080h (1 curve)	2	2+ 3+ 5+ 73-	2+ 3+ 5+ -5  2  2 -2  8
Curve Equation t Generators 70080h1 [0,-1,0,-16641,1859841] 1 [65:-1024:1]&[104:1115:1]
70080i (2 curves)	0	2+ 3+ 5- 73+	2+ 3+ 5- -2  2  4 -4  4
Curve Equation t 70080i1 [0,-1,0,-8265,-27063] 2 70080i2 [0,-1,0,-95745,-11346975] 2
70080j (2 curves)	0	2+ 3+ 5- 73+	2+ 3+ 5- -2  6  4  4 -4
Curve Equation t 70080j1 [0,-1,0,-20865,727425] 2 70080j2 [0,-1,0,-297345,62493057] 2
70080k (1 curve)	0	2+ 3+ 5- 73+	2+ 3+ 5- -2 -6  0  7 -1
Curve Equation t 70080k1 [0,-1,0,14175,-5872095] 1
70080l (1 curve)	2	2+ 3+ 5- 73+	2+ 3+ 5- -3 -4  0  0 -2
Curve Equation t Generators 70080l1 [0,-1,0,-385,4225] 1 [-15:80:1]&[0:65:1]
70080m (4 curves)	1	2+ 3+ 5- 73-	2+ 3+ 5-  0  0  2 -2  4
Curve Equation t Generators 70080m1 [0,-1,0,-2625,51777] 2 [-31:320:1] 70080m2 [0,-1,0,-5505,-78975] 4 [-40:275:1] 70080m3 [0,-1,0,18495,-602175] 2 [152:2387:1] 70080m4 [0,-1,0,-75585,-7969983] 2 [323:1100:1]
70080n (4 curves)	1	2+ 3+ 5- 73-	2+ 3+ 5-  0  0 -2  6 -4
Curve Equation t Generators 70080n1 [0,-1,0,-7300,-237650] 2 [147:1358:1] 70080n2 [0,-1,0,-7305,-237303] 4 [-48:21:1] 70080n3 [0,-1,0,-4385,-431775] 2 [145:1400:1] 70080n4 [0,-1,0,-10305,-20703] 4 [152:1379:1]
70080o (3 curves)	1	2+ 3+ 5- 73-	2+ 3+ 5- -1  0  4  0 -2
Curve Equation t Generators 70080o1 [0,-1,0,-865,94177] 1 [-48:151:1] 70080o2 [0,-1,0,7775,-2513375] 1 [120:365:1] 70080o3 [0,-1,0,-1183585,-495357983] 1 [1464:30125:1]
70080p (1 curve)	1	2+ 3+ 5- 73-	2+ 3+ 5-  2 -6  4  1 -1
Curve Equation t Generators 70080p1 [0,-1,0,95,-383] 1 [7:24:1]
70080q (4 curves)	1	2+ 3+ 5- 73-	2+ 3+ 5-  4 -4  2 -2 -4
Curve Equation t Generators 70080q1 [0,-1,0,-21676225,-29842914623] 2 [-6727227:-194176000:2197] 70080q2 [0,-1,0,-324007105,-2244537542975] 4 [2048595627:261400694828:68921] 70080q3 [0,-1,0,-301301185,-2572579051583] 2 [638859546945234237:82062419785068493940:21575501190719] 70080q4 [0,-1,0,-5184007105,-143661789542975] 2 [-1448147810686417851192:970192157382839483:34837305094299799]
70080r (1 curve)	0	2+ 3- 5+ 73+	2+ 3- 5+  2  6  4 -1  7
Curve Equation t 70080r1 [0,1,0,26029439,264054239] 1
70080s (2 curves)	0	2+ 3- 5+ 73+	2+ 3- 5+ -2 -2  4  0  4
Curve Equation t 70080s1 [0,1,0,-2441,-47241] 2 70080s2 [0,1,0,-2561,-42465] 2
70080t (1 curve)	2	2+ 3- 5+ 73+	2+ 3- 5+ -3  6 -6 -6 -8
Curve Equation t Generators 70080t1 [0,1,0,-6081,180639] 1 [-39:600:1]&[27:192:1]
70080u (2 curves)	0	2+ 3- 5+ 73+	2+ 3- 5+ -4  0  4  8  4
Curve Equation t 70080u1 [0,1,0,-1921,19679] 2 70080u2 [0,1,0,5759,144095] 2
70080v (1 curve)	1	2+ 3- 5+ 73-	2+ 3- 5+ -1  2  2  2  0
Curve Equation t Generators 70080v1 [0,1,0,9439,-246465] 1 [34:339:1]
70080w (1 curve)	1	2+ 3- 5+ 73-	2+ 3- 5+  2  2 -4 -7  3
Curve Equation t Generators 70080w1 [0,1,0,-34401,2448639] 1 [147:768:1]
70080x (2 curves)	1	2+ 3- 5- 73+	2+ 3- 5-  2 -2  4 -4 -4
Curve Equation t Generators 70080x1 [0,1,0,-8265,27063] 2 [-39:540:1] 70080x2 [0,1,0,-95745,11346975] 2 [195:360:1]
70080y (1 curve)	1	2+ 3- 5- 73+	2+ 3- 5- -2  2  0  3 -5
Curve Equation t Generators 70080y1 [0,1,0,-72545,-10489857] 1 [1171:38880:1]
70080z (2 curves)	1	2+ 3- 5- 73+	2+ 3- 5-  4 -4  4 -4 -4
Curve Equation t Generators 70080z1 [0,1,0,-2145,-36225] 2 [-30:45:1] 70080z2 [0,1,0,2175,-159777] 2 [66:525:1]
70080ba (4 curves)	0	2+ 3- 5- 73-	2+ 3- 5-  0  0 -2  6  4
Curve Equation t 70080ba1 [0,1,0,-7300,237650] 2 70080ba2 [0,1,0,-7305,237303] 4 70080ba3 [0,1,0,-4385,431775] 4 70080ba4 [0,1,0,-10305,20703] 2
70080bb (1 curve)	0	2+ 3- 5- 73-	2+ 3- 5- -1  4 -4  4  6
Curve Equation t 70080bb1 [0,1,0,-1211265,-525874977] 1
70080bc (1 curve)	0	2+ 3- 5- 73-	2+ 3- 5- -2 -2  0 -3 -1
Curve Equation t 70080bc1 [0,1,0,3775,92703] 1
70080bd (1 curve)	0	2+ 3- 5- 73-	2+ 3- 5- -2  6  4  1  1
Curve Equation t 70080bd1 [0,1,0,95,383] 1
70080be (2 curves)	2	2+ 3- 5- 73-	2+ 3- 5- -2 -6 -6 -2  0
Curve Equation t Generators 70080be1 [0,1,0,-2385,43983] 2 [-54:135:1]&[21:60:1] 70080be2 [0,1,0,-1665,71775] 2 [-45:240:1]&[9:240:1]
70080bf (4 curves)	0	2+ 3- 5- 73-	2+ 3- 5-  4  4  6 -6 -4
Curve Equation t 70080bf1 [0,1,0,-547585,155781983] 2 70080bf2 [0,1,0,-548865,155015775] 4 70080bf3 [0,1,0,-148865,376535775] 4 70080bf4 [0,1,0,-969345,-115521057] 2
70080bg (4 curves)	0	2+ 3- 5- 73-	2+ 3- 5-  4 -4  2  6  4
Curve Equation t 70080bg1 [0,1,0,1795,-30525] 2 70080bg2 [0,1,0,-10705,-303025] 4 70080bg3 [0,1,0,-64705,6079775] 2 70080bg4 [0,1,0,-156705,-23925825] 2
70080bh (1 curve)	2	2+ 3- 5- 73-	2+ 3- 5- -5  0  0 -8 -6
Curve Equation t Generators 70080bh1 [0,1,0,761535,-122291937] 1 [3051:174960:1]&[201:6240:1]
70080bi (1 curve)	0	2- 3+ 5+ 73+	2- 3+ 5+ -2 -6  4 -1 -7
Curve Equation t 70080bi1 [0,-1,0,26029439,-264054239] 1
70080bj (1 curve)	0	2- 3+ 5+ 73+	2- 3+ 5+  3 -6 -6 -6  8
Curve Equation t 70080bj1 [0,-1,0,-6081,-180639] 1
70080bk (2 curves)	0	2- 3+ 5+ 73+	2- 3+ 5+  4  0  4  8 -4
Curve Equation t 70080bk1 [0,-1,0,-1921,-19679] 2 70080bk2 [0,-1,0,5759,-144095] 2
70080bl (4 curves)	1	2- 3+ 5+ 73-	2- 3+ 5+  0  4 -6  2  8
Curve Equation t Generators 70080bl1 [0,-1,0,-43436,-3734910] 2 [322797:35288054:27] 70080bl2 [0,-1,0,-709561,-229817735] 4 [17729369034:1934445617263:1481544] 70080bl3 [0,-1,0,-724161,-219851775] 2 [58530991659549606186:-6386051870545085141887:4891011086772936] 70080bl4 [0,-1,0,-11352961,-14719742495] 2 [49330684183223401926:5203464980704986174697:4056651478283256]
70080bm (1 curve)	1	2- 3+ 5+ 73-	2- 3+ 5+  1 -2  2  2  0
Curve Equation t Generators 70080bm1 [0,-1,0,9439,246465] 1 [811:23252:1]
70080bn (1 curve)	1	2- 3+ 5+ 73-	2- 3+ 5+ -2 -2 -4 -7 -3
Curve Equation t Generators 70080bn1 [0,-1,0,-34401,-2448639] 1 [363:5724:1]
70080bo (1 curve)	1	2- 3+ 5+ 73-	2- 3+ 5+  3  4  0 -4  2
Curve Equation t Generators 70080bo1 [0,-1,0,-1,865] 1 [-9:8:1]
70080bp (1 curve)	1	2- 3+ 5- 73+	2- 3+ 5-  1  6 -2 -2  4
Curve Equation t Generators 70080bp1 [0,-1,0,-26945,-1704543] 1 [199:880:1]
70080bq (1 curve)	1	2- 3+ 5- 73+	2- 3+ 5-  2 -2  0  3  5
Curve Equation t Generators 70080bq1 [0,-1,0,-72545,10489857] 1 [1259:43740:1]
70080br (2 curves)	1	2- 3+ 5- 73+	2- 3+ 5-  4  0 -4 -4  0
Curve Equation t Generators 70080br1 [0,-1,0,-60185,-5660775] 2 [-143:32:1] 70080br2 [0,-1,0,-50465,-7560063] 2 [343:3920:1]
70080bs (2 curves)	1	2- 3+ 5- 73+	2- 3+ 5- -4  4  4 -4  4
Curve Equation t Generators 70080bs1 [0,-1,0,-2145,36225] 2 [5:160:1] 70080bs2 [0,-1,0,2175,159777] 2 [32:511:1]
70080bt (1 curve)	0	2- 3+ 5- 73-	2- 3+ 5-  1 -4 -4  4 -6
Curve Equation t 70080bt1 [0,-1,0,-1211265,525874977] 1
70080bu (1 curve)	0	2- 3+ 5- 73-	2- 3+ 5-  2  2  0 -3  1
Curve Equation t 70080bu1 [0,-1,0,3775,-92703] 1
70080bv (2 curves)	0	2- 3+ 5- 73-	2- 3+ 5-  2  6 -6 -2  0
Curve Equation t 70080bv1 [0,-1,0,-2385,-43983] 2 70080bv2 [0,-1,0,-1665,-71775] 2
70080bw (1 curve)	0	2- 3+ 5- 73-	2- 3+ 5-  3  2 -2 -2  4
Curve Equation t 70080bw1 [0,-1,0,65695,13878465] 1
70080bx (4 curves)	0	2- 3+ 5- 73-	2- 3+ 5- -4  4  2  6 -4
Curve Equation t 70080bx1 [0,-1,0,1795,30525] 2 70080bx2 [0,-1,0,-10705,303025] 4 70080bx3 [0,-1,0,-64705,-6079775] 2 70080bx4 [0,-1,0,-156705,23925825] 2
70080by (4 curves)	0	2- 3+ 5- 73-	2- 3+ 5- -4 -4  6 -6  4
Curve Equation t 70080by1 [0,-1,0,-547585,-155781983] 2 70080by2 [0,-1,0,-548865,-155015775] 4 70080by3 [0,-1,0,-148865,-376535775] 2 70080by4 [0,-1,0,-969345,115521057] 4
70080bz (1 curve)	0	2- 3+ 5- 73-	2- 3+ 5-  5  0  0 -8  6
Curve Equation t 70080bz1 [0,-1,0,761535,122291937] 1
70080ca (1 curve)	1	2- 3- 5+ 73+	2- 3- 5+ -1 -2  6  2 -4
Curve Equation t Generators 70080ca1 [0,1,0,479,2399] 1 [181:2460:1]
70080cb (2 curves)	1	2- 3- 5+ 73+	2- 3- 5+  2 -2  0 -4 -4
Curve Equation t Generators 70080cb1 [0,1,0,-71201,-6874785] 2 [-158:675:1] 70080cb2 [0,1,0,-226721,33280479] 2 [661:13140:1]
70080cc (2 curves)	1	2- 3- 5+ 73+	2- 3- 5+  2  6  4  0 -4
Curve Equation t Generators 70080cc1 [0,1,0,-2561,48639] 2 [34:45:1] 70080cc2 [0,1,0,-4481,-36225] 2 [162:1875:1]
70080cd (1 curve)	1	2- 3- 5+ 73+	2- 3- 5+ -2  2  4 -5  5
Curve Equation t Generators 70080cd1 [0,1,0,-1281,17919] 1 [15:-48:1]
70080ce (4 curves)	2	2- 3- 5+ 73-	2- 3- 5+  0 -4 -6  2 -8
Curve Equation t Generators 70080ce1 [0,1,0,-43436,3734910] 2 [49:1314:1]&[241:2706:1] 70080ce2 [0,1,0,-709561,229817735] 4 [-865:14040:1]&[4042:-5913:8] 70080ce3 [0,1,0,-724161,219851775] 2 [-489:21384:1]&[321:4536:1] 70080ce4 [0,1,0,-11352961,14719742495] 2 [1961:1224:1]&[1994:3759:1]
70080cf (2 curves)	2	2- 3- 5+ 73-	2- 3- 5+ -2 -2  2 -6 -8
Curve Equation t Generators 70080cf1 [0,1,0,-2001,26415] 2 [-3:180:1]&[-39:216:1] 70080cf2 [0,1,0,4479,167679] 2 [-15:312:1]&[-6:375:1]
70080cg (2 curves)	0	2- 3- 5+ 73-	2- 3- 5+ -2  6  4 -3  5
Curve Equation t 70080cg1 [0,1,0,-115361,27017439] 1 70080cg2 [0,1,0,-11275361,14569073439] 1
70080ch (1 curve)	2	2- 3- 5+ 73-	2- 3- 5+ -3 -4  0 -4 -2
Curve Equation t Generators 70080ch1 [0,1,0,-1,-865] 1 [10:15:1]&[11:24:1]
70080ci (1 curve)	0	2- 3- 5+ 73-	2- 3- 5+  5 -2  2 -2 -8
Curve Equation t 70080ci1 [0,1,0,-16641,-1859841] 1
70080cj (1 curve)	2	2- 3- 5- 73+	2- 3- 5- -1 -6 -2 -2 -4
Curve Equation t Generators 70080cj1 [0,1,0,-26945,1704543] 1 [-182:783:1]&[331:-5400:1]
70080ck (1 curve)	0	2- 3- 5- 73+	2- 3- 5-  2  6  0  7  1
Curve Equation t 70080ck1 [0,1,0,14175,5872095] 1
70080cl (2 curves)	0	2- 3- 5- 73+	2- 3- 5-  2 -6  4  4  4
Curve Equation t 70080cl1 [0,1,0,-20865,-727425] 2 70080cl2 [0,1,0,-297345,-62493057] 2
70080cm (1 curve)	0	2- 3- 5- 73+	2- 3- 5-  3  4  0  0  2
Curve Equation t 70080cm1 [0,1,0,-385,-4225] 1
70080cn (2 curves)	2	2- 3- 5- 73+	2- 3- 5- -4  0 -4 -4  0
Curve Equation t Generators 70080cn1 [0,1,0,-60185,5660775] 2 [175:-720:1]&[-185:3240:1] 70080cn2 [0,1,0,-50465,7560063] 2 [-29:-3000:1]&[-179:3300:1]
70080co (4 curves)	1	2- 3- 5- 73-	2- 3- 5-  0  0  2 -2 -4
Curve Equation t Generators 70080co1 [0,1,0,-2625,-51777] 2 [-27:12:1] 70080co2 [0,1,0,-5505,78975] 4 [69:180:1] 70080co3 [0,1,0,18495,602175] 2 [-537:12860:27] 70080co4 [0,1,0,-75585,7969983] 2 [-289:2400:1]
70080cp (3 curves)	1	2- 3- 5- 73-	2- 3- 5-  1  0  4  0  2
Curve Equation t Generators 70080cp1 [0,1,0,-865,-94177] 1 [53:108:1] 70080cp2 [0,1,0,7775,2513375] 1 [245:-4380:1] 70080cp3 [0,1,0,-1183585,495357983] 1 [661:1500:1]
70080cq (1 curve)	1	2- 3- 5- 73-	2- 3- 5- -3 -2 -2 -2 -4
Curve Equation t Generators 70080cq1 [0,1,0,65695,-13878465] 1 [658:-17739:1]
70080cr (4 curves)	1	2- 3- 5- 73-	2- 3- 5- -4  4  2 -2  4
Curve Equation t Generators 70080cr1 [0,1,0,-21676225,29842914623] 2 [-859:218700:1] 70080cr2 [0,1,0,-324007105,2244537542975] 4 [8015:403200:1] 70080cr3 [0,1,0,-301301185,2572579051583] 2 [9986:748125:1] 70080cr4 [0,1,0,-5184007105,143661789542975] 2 [34415:2452800:1]

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