Cremona's table of elliptic curves

80080 = 2⁴ · 5 · 7 · 11 · 13

Class	r	Atkin-Lehner	Eigenvalues
80080a (2 curves)	1	2+ 5+ 7+ 11+ 13+	2+  2 5+ 7+ 11+ 13+ -2  8
Curve Equation t Generators 80080a1 [0,-1,0,-48056,3555200] 2 [165276:1504988:729] 80080a2 [0,-1,0,76944,18855200] 2 [716:20988:1]
80080b (2 curves)	0	2+ 5+ 7+ 11+ 13-	2+  0 5+ 7+ 11+ 13- -2  2
Curve Equation t 80080b1 [0,0,0,337,1038] 2 80080b2 [0,0,0,-1483,8682] 2
80080c (2 curves)	0	2+ 5+ 7+ 11- 13+	2+  2 5+ 7+ 11- 13+ -6  2
Curve Equation t 80080c1 [0,-1,0,8304,-173680] 2 80080c2 [0,-1,0,-39016,-1460784] 2
80080d (4 curves)	1	2+ 5+ 7- 11- 13+	2+  0 5+ 7- 11- 13+  6  0
Curve Equation t Generators 80080d1 [0,0,0,-17183,860382] 2 [117:672:1] 80080d2 [0,0,0,-29683,-557118] 4 [-71:1092:1] 80080d3 [0,0,0,113317,-4360918] 2 [479:12642:1] 80080d4 [0,0,0,-372683,-87473318] 2 [-351:308:1]
80080e (1 curve)	1	2+ 5+ 7- 11- 13+	2+  1 5+ 7- 11- 13+  2  2
Curve Equation t Generators 80080e1 [0,1,0,-1776,28724] 1 [22:-28:1]
80080f (4 curves)	0	2+ 5+ 7- 11- 13-	2+  0 5+ 7- 11- 13-  2  4
Curve Equation t 80080f1 [0,0,0,-698,-6953] 2 80080f2 [0,0,0,-1543,13158] 4 80080f3 [0,0,0,4957,95058] 4 80080f4 [0,0,0,-21563,1218362] 2
80080g (1 curve)	0	2+ 5+ 7- 11- 13-	2+  0 5+ 7- 11- 13- -3  1
Curve Equation t 80080g1 [0,0,0,-1028,-13652] 1
80080h (2 curves)	0	2+ 5+ 7- 11- 13-	2+  2 5+ 7- 11- 13- -2 -2
Curve Equation t 80080h1 [0,-1,0,2908665144,-473104546086400] 2 80080h2 [0,-1,0,-76184404576,-7736948794715424] 2
80080i (2 curves)	0	2+ 5+ 7- 11- 13-	2+  2 5+ 7- 11- 13-  6 -6
Curve Equation t 80080i1 [0,-1,0,-2696,-85504] 2 80080i2 [0,-1,0,-50016,-4287520] 2
80080j (2 curves)	2	2+ 5+ 7- 11- 13-	2+ -2 5+ 7- 11- 13- -6 -6
Curve Equation t Generators 80080j1 [0,1,0,2184,33124] 2 [-13:52:1]&[0:182:1] 80080j2 [0,1,0,-11536,291060] 2 [-116:286:1]&[-98:700:1]
80080k (4 curves)	1	2+ 5- 7+ 11+ 13-	2+  0 5- 7+ 11+ 13- -2 -8
Curve Equation t Generators 80080k1 [0,0,0,-2687,-53506] 2 [410:8232:1] 80080k2 [0,0,0,-3667,-10974] 4 [-55:156:1] 80080k3 [0,0,0,14533,-87414] 2 [15:366:1] 80080k4 [0,0,0,-37547,2787514] 4 [-207:1300:1]
80080l (2 curves)	1	2+ 5- 7+ 11- 13+	2+ -2 5- 7+ 11- 13+ -6 -6
Curve Equation t Generators 80080l1 [0,1,0,-41720,-4134812] 2 [342:4660:1] 80080l2 [0,1,0,-714000,-232441100] 2 [-490:100:1]
80080m (2 curves)	1	2+ 5- 7- 11+ 13+	2+  2 5- 7- 11+ 13+ -4 -2
Curve Equation t Generators 80080m1 [0,-1,0,-443080,-113372160] 2 [-86721811932:-21113308:225866529] 80080m2 [0,-1,0,-443360,-113221408] 2 [-3563196:-4702060:9261]
80080n (2 curves)	0	2+ 5- 7- 11+ 13-	2+  2 5- 7- 11+ 13-  6  0
Curve Equation t 80080n1 [0,-1,0,-800800,-275558448] 2 80080n2 [0,-1,0,-795800,-279174448] 2
80080o (2 curves)	0	2+ 5- 7- 11- 13+	2+  0 5- 7- 11- 13+  2 -2
Curve Equation t 80080o1 [0,0,0,-5927,-177466] 2 80080o2 [0,0,0,-95107,-11289294] 2
80080p (2 curves)	2	2+ 5- 7- 11- 13+	2+ -2 5- 7- 11- 13+  0 -6
Curve Equation t Generators 80080p1 [0,1,0,-110360,-8251100] 2 [21090:528220:27]&[-237:2156:1] 80080p2 [0,1,0,-782640,260391988] 2 [428:2002:1]&[-874:16660:1]
80080q (2 curves)	0	2+ 5- 7- 11- 13+	2+ -2 5- 7- 11- 13+ -2  8
Curve Equation t 80080q1 [0,1,0,-320,-2300] 2 80080q2 [0,1,0,-120,-4940] 2
80080r (4 curves)	1	2+ 5- 7- 11- 13-	2+  0 5- 7- 11- 13-  2 -4
Curve Equation t Generators 80080r1 [0,0,0,673,-674] 2 [10:84:1] 80080r2 [0,0,0,-2707,-5406] 4 [-37:210:1] 80080r3 [0,0,0,-28187,1813866] 4 [-118:1870:1] 80080r4 [0,0,0,-31307,-2127526] 2 [335:4998:1]
80080s (4 curves)	1	2+ 5- 7- 11- 13-	2+  0 5- 7- 11- 13- -6  4
Curve Equation t Generators 80080s1 [0,0,0,-21167,1122574] 2 [58:300:1] 80080s2 [0,0,0,-333667,74185074] 4 [9291:-9100:27] 80080s3 [0,0,0,-328667,76516074] 4 [-127:10780:1] 80080s4 [0,0,0,-5338667,4747854074] 2 [1343:570:1]
80080t (4 curves)	0	2- 5+ 7+ 11+ 13+	2-  0 5+ 7+ 11+ 13+  2 -4
Curve Equation t 80080t1 [0,0,0,-128483,-17726238] 2 80080t2 [0,0,0,-128803,-17633502] 4 80080t3 [0,0,0,-32003,-43517822] 2 80080t4 [0,0,0,-230723,14185922] 2
80080u (2 curves)	1	2- 5+ 7+ 11+ 13-	2- -1 5+ 7+ 11+ 13- -6 -2
Curve Equation t Generators 80080u1 [0,-1,0,-616,-94864] 1 [68:416:1] 80080u2 [0,-1,0,5544,2556400] 1 [556:13312:1]
80080v (4 curves)	1	2- 5+ 7+ 11+ 13-	2-  2 5+ 7+ 11+ 13-  0 -2
Curve Equation t Generators 80080v1 [0,-1,0,-38617976,-92346040720] 2 [-510067656080999325070524:460168221980000788046848:141824315567488527351] 80080v2 [0,-1,0,-42130296,-74542793104] 2 [-4499678497646412:-185062279687651520:2013263135883] 80080v3 [0,-1,0,-89370216,194581890416] 2 [-190895755764:65810861129728:112678587] 80080v4 [0,-1,0,-1263775336,17288283293040] 2 [6698748:-80830464:343]
80080w (2 curves)	1	2- 5+ 7+ 11- 13+	2-  0 5+ 7+ 11- 13+ -6  2
Curve Equation t Generators 80080w1 [0,0,0,-12323,2599522] 2 [-63:1768:1] 80080w2 [0,0,0,-369043,86000658] 2 [623:9894:1]
80080x (4 curves)	0	2- 5+ 7+ 11- 13-	2-  2 5+ 7+ 11- 13-  6 -8
Curve Equation t 80080x1 [0,-1,0,-42736,-1011264] 2 80080x2 [0,-1,0,162064,-8056384] 2 80080x3 [0,-1,0,-1972976,1067303360] 2 80080x4 [0,-1,0,-1892976,1157735360] 2
80080y (2 curves)	2	2- 5+ 7+ 11- 13-	2- -2 5+ 7+ 11- 13-  4  2
Curve Equation t Generators 80080y1 [0,1,0,-3816,-68300] 2 [-36:154:1]&[-25:110:1] 80080y2 [0,1,0,-21736,1171764] 2 [110:-352:1]&[-121:1430:1]
80080z (2 curves)	0	2- 5+ 7- 11+ 13-	2-  0 5+ 7- 11+ 13- -2  0
Curve Equation t 80080z1 [0,0,0,-328,10827] 2 80080z2 [0,0,0,-9623,362178] 2
80080ba (2 curves)	0	2- 5+ 7- 11+ 13-	2-  0 5+ 7- 11+ 13-  4  0
Curve Equation t 80080ba1 [0,0,0,-35083,-68122182] 2 80080ba2 [0,0,0,-2724203,-1713325798] 2
80080bb (1 curve)	0	2- 5+ 7- 11+ 13-	2- -3 5+ 7- 11+ 13- -2 -6
Curve Equation t 80080bb1 [0,0,0,-315643,68310058] 1
80080bc (4 curves)	0	2- 5+ 7- 11- 13+	2-  0 5+ 7- 11- 13+  6  8
Curve Equation t 80080bc1 [0,0,0,-8363,294362] 2 80080bc2 [0,0,0,-8683,270618] 4 80080bc3 [0,0,0,14197,1455802] 2 80080bc4 [0,0,0,-36683,-2434182] 2
80080bd (4 curves)	2	2- 5+ 7- 11- 13+	2-  0 5+ 7- 11- 13+ -6 -4
Curve Equation t Generators 80080bd1 [0,0,0,-53843,4030738] 2 [-249:1414:1]&[-39:2464:1] 80080bd2 [0,0,0,-822163,286926162] 4 [591:-2730:1]&[-354:23100:1] 80080bd3 [0,0,0,-782963,315518642] 2 [-767:21560:1]&[289:-10648:1] 80080bd4 [0,0,0,-13154483,18363640818] 2 [2103:714:1]&[2319:18150:1]
80080be (2 curves)	1	2- 5+ 7- 11- 13-	2-  0 5+ 7- 11- 13- -2 -6
Curve Equation t Generators 80080be1 [0,0,0,277,91418] 2 [-17:286:1] 80080be2 [0,0,0,-28843,1844442] 2 [31:990:1]
80080bf (2 curves)	1	2- 5+ 7- 11- 13-	2-  2 5+ 7- 11- 13-  2  6
Curve Equation t Generators 80080bf1 [0,-1,0,1904,-58944] 2 [3531:41912:27] 80080bf2 [0,-1,0,-16016,-646720] 2 [538:12090:1]
80080bg (2 curves)	1	2- 5+ 7- 11- 13-	2- -2 5+ 7- 11- 13- -2  6
Curve Equation t Generators 80080bg1 [0,1,0,-3182576,25719408340] 2 [-2036:154154:1] 80080bg2 [0,1,0,-151578096,713265531604] 2 [5244:250250:1]
80080bh (2 curves)	1	2- 5+ 7- 11- 13-	2- -2 5+ 7- 11- 13- -6 -4
Curve Equation t Generators 80080bh1 [0,1,0,-15496,-739596] 2 [-76:70:1] 80080bh2 [0,1,0,-2696,-1912076] 2 [222:-2912:1]
80080bi (2 curves)	1	2- 5- 7+ 11+ 13+	2-  0 5- 7+ 11+ 13+  0  8
Curve Equation t Generators 80080bi1 [0,0,0,-28747,-10276614] 2 [262:420:1] 80080bi2 [0,0,0,-906827,-331127046] 2 [-577:110:1]
80080bj (4 curves)	1	2- 5- 7+ 11+ 13+	2-  0 5- 7+ 11+ 13+ -2  0
Curve Equation t Generators 80080bj1 [0,0,0,-467,3026] 2 [-23:40:1] 80080bj2 [0,0,0,-2467,-44574] 4 [-33:30:1] 80080bj3 [0,0,0,1933,-186254] 2 [55:294:1] 80080bj4 [0,0,0,-38867,-2949294] 2 [975:29766:1]
80080bk (1 curve)	1	2- 5- 7+ 11+ 13+	2-  0 5- 7+ 11+ 13+ -5  3
Curve Equation t Generators 80080bk1 [0,0,0,-1193072,501589104] 1 [305:12887:1]
80080bl (4 curves)	0	2- 5- 7+ 11+ 13-	2-  2 5- 7+ 11+ 13- -6  4
Curve Equation t 80080bl1 [0,-1,0,-35040,2297600] 2 80080bl2 [0,-1,0,44960,11193600] 2 80080bl3 [0,-1,0,-2763040,1768704000] 2 80080bl4 [0,-1,0,-2762240,1769778560] 2
80080bm (2 curves)	2	2- 5- 7+ 11- 13+	2-  0 5- 7+ 11- 13+  0 -8
Curve Equation t Generators 80080bm1 [0,0,0,893,-894] 2 [2:30:1]&[15:126:1] 80080bm2 [0,0,0,-3587,-7166] 2 [-57:110:1]&[-47:240:1]
80080bn (4 curves)	0	2- 5- 7+ 11- 13+	2-  0 5- 7+ 11- 13+  6  4
Curve Equation t 80080bn1 [0,0,0,20547853,-15839196271694] 2 80080bn2 [0,0,0,-9338320627,-341316308948046] 4 80080bn3 [0,0,0,-19726007027,555782986391474] 4 80080bn4 [0,0,0,-148692529907,-22068950815574094] 2
80080bo (2 curves)	0	2- 5- 7+ 11- 13+	2- -2 5- 7+ 11- 13+  2  4
Curve Equation t 80080bo1 [0,1,0,-6633354560,-207946935961292] 2 80080bo2 [0,1,0,-6620854560,-208769670961292] 2
80080bp (2 curves)	0	2- 5- 7+ 11- 13+	2- -2 5- 7+ 11- 13+  2 -6
Curve Equation t 80080bp1 [0,1,0,-73360,8727828] 2 80080bp2 [0,1,0,-1220240,518401300] 2
80080bq (4 curves)	1	2- 5- 7+ 11- 13-	2-  0 5- 7+ 11- 13-  2  0
Curve Equation t Generators 80080bq1 [0,0,0,2053,45866] 2 [-10:156:1] 80080bq2 [0,0,0,-13627,462954] 4 [-105:858:1] 80080bq3 [0,0,0,-75227,-7557366] 2 [1335:47658:1] 80080bq4 [0,0,0,-202907,35176906] 4 [42:5170:1]
80080br (3 curves)	1	2- 5- 7+ 11- 13-	2- -1 5- 7+ 11- 13-  6 -2
Curve Equation t Generators 80080br1 [0,-1,0,-9539080,-11336685328] 1 [6724:478000:1] 80080br2 [0,-1,0,-8809080,-13145341328] 1 [3804:91520:1] 80080br3 [0,-1,0,67885720,143337734512] 1 [-6360924:1133969408:4913]
80080bs (1 curve)	0	2- 5- 7- 11+ 13+	2-  0 5- 7- 11+ 13+ -5 -5
Curve Equation t 80080bs1 [0,0,0,-17790512,-46873456016] 1
80080bt (2 curves)	0	2- 5- 7- 11+ 13+	2-  2 5- 7- 11+ 13+ -4  6
Curve Equation t 80080bt1 [0,-1,0,-2920,59760] 2 80080bt2 [0,-1,0,-7400,-162448] 2
80080bu (2 curves)	1	2- 5- 7- 11+ 13-	2-  0 5- 7- 11+ 13- -2  6
Curve Equation t Generators 80080bu1 [0,0,0,-7307,-292294] 2 [127:910:1] 80080bu2 [0,0,0,-123787,-16762566] 2 [1023:30450:1]
80080bv (2 curves)	1	2- 5- 7- 11+ 13-	2-  0 5- 7- 11+ 13-  6 -6
Curve Equation t Generators 80080bv1 [0,0,0,-13859387,19870038186] 2 [95:136214:1] 80080bv2 [0,0,0,-221783467,1271281906074] 2 [9559:157170:1]
80080bw (2 curves)	1	2- 5- 7- 11+ 13-	2- -2 5- 7- 11+ 13- -2  0
Curve Equation t Generators 80080bw1 [0,1,0,-280,1428] 2 [-4:50:1] 80080bw2 [0,1,0,520,8788] 2 [-2:88:1]
80080bx (4 curves)	1	2- 5- 7- 11- 13+	2-  0 5- 7- 11- 13+ -2 -8
Curve Equation t Generators 80080bx1 [0,0,0,11293,-10390494] 2 [257:3080:1] 80080bx2 [0,0,0,-651187,-196812366] 4 [-457:2310:1] 80080bx3 [0,0,0,-1561187,474585634] 2 [2143:83490:1] 80080bx4 [0,0,0,-10340867,-12799210174] 2 [3767:41250:1]
80080by (2 curves)	1	2- 5- 7- 11- 13+	2- -2 5- 7- 11- 13+  8 -6
Curve Equation t Generators 80080by1 [0,1,0,-1642200,809443348] 2 [756:770:1] 80080by2 [0,1,0,-1697080,752390100] 2 [5390:385000:1]
80080bz (1 curve)	0	2- 5- 7- 11- 13-	2-  1 5- 7- 11- 13- -6  2
Curve Equation t 80080bz1 [0,1,0,0,308] 1

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