Cremona's table of elliptic curves

128576 = 2⁶ · 7² · 41

Class	r	Atkin-Lehner	Eigenvalues
128576a (1 curve)	1	2+ 7+ 41+	2+  0  0 7+  2 -1  2  2
Curve Equation t Generators 128576a1 [0,0,0,-6860,-345744] 1 [27147016:903078980:24389]
128576b (1 curve)	1	2+ 7+ 41+	2+  1  1 7+ -1  2  0 -3
Curve Equation t Generators 128576b1 [0,1,0,7775,-707393] 1 [1731:72128:1]
128576c (1 curve)	1	2+ 7+ 41+	2+  1  1 7+  5  2 -3  3
Curve Equation t Generators 128576c1 [0,1,0,-2025,34271] 1 [170:287:8]
128576d (1 curve)	1	2+ 7+ 41+	2+  1 -1 7+  3  0 -8  1
Curve Equation t Generators 128576d1 [0,1,0,-16,118] 1 [9:28:1]
128576e (1 curve)	1	2+ 7+ 41+	2+ -1 -1 7+ -3  0 -8 -1
Curve Equation t Generators 128576e1 [0,-1,0,-16,-118] 1 [7:8:1]
128576f (2 curves)	1	2+ 7+ 41+	2+ -1  3 7+ -3  4  0  7
Curve Equation t Generators 128576f1 [0,-1,0,-8689,328721] 1 [-65:784:1] 128576f2 [0,-1,0,46191,668977] 1 [79:2192:1]
128576g (1 curve)	1	2+ 7+ 41+	2+  3  1 7+  5 -6  0 -1
Curve Equation t Generators 128576g1 [0,0,0,-13132,582512] 1 [1722:-1792:27]
128576h (1 curve)	1	2+ 7+ 41+	2+  3 -3 7+ -1  2 -7 -7
Curve Equation t Generators 128576h1 [0,0,0,-3724,87416] 1 [1119:1763:27]
128576i (1 curve)	0	2+ 7+ 41-	2+  1  1 7+ -3 -2  1  3
Curve Equation t 128576i1 [0,1,0,-5945,88367] 1
128576j (1 curve)	0	2+ 7+ 41-	2+  2 -2 7+  0 -3 -4  2
Curve Equation t 128576j1 [0,-1,0,-4769,-125215] 1
128576k (1 curve)	0	2+ 7+ 41-	2+ -2  2 7+  4 -1  0  6
Curve Equation t 128576k1 [0,1,0,40703,-16831137] 1
128576l (1 curve)	2	2+ 7+ 41-	2+ -2 -2 7+  0 -3 -4 -2
Curve Equation t Generators 128576l1 [0,1,0,-4769,125215] 1 [23:168:1]&[39:-8:1]
128576m (4 curves)	0	2+ 7- 41+	2+  0 -2 7-  0  2 -2  0
Curve Equation t 128576m1 [0,0,0,-131516,-18357360] 2 128576m2 [0,0,0,-135436,-17204880] 4 128576m3 [0,0,0,186004,-86507344] 2 128576m4 [0,0,0,-519596,125856304] 2
128576n (1 curve)	0	2+ 7- 41+	2+  1 -1 7-  0 -6  7  4
Curve Equation t 128576n1 [0,1,0,-128641,-3793217] 1
128576o (1 curve)	2	2+ 7- 41+	2+  1  3 7- -4 -2 -7 -4
Curve Equation t Generators 128576o1 [0,1,0,-1409,18143] 1 [-19:196:1]&[11:64:1]
128576p (2 curves)	0	2+ 7- 41+	2+  1 -3 7-  0  2  3 -4
Curve Equation t 128576p1 [0,1,0,-249377,-34657729] 1 128576p2 [0,1,0,-7321057,7619857279] 1
128576q (1 curve)	2	2+ 7- 41+	2+  1 -3 7-  4 -2 -3  4
Curve Equation t Generators 128576q1 [0,1,0,-737,7391] 1 [-25:104:1]&[2:77:1]
128576r (2 curves)	0	2+ 7- 41+	2+ -1  1 7- -2  4 -3  0
Curve Equation t 128576r1 [0,-1,0,-548865,-151216127] 1 128576r2 [0,-1,0,-49501825,134070116993] 1
128576s (1 curve)	0	2+ 7- 41+	2+ -1 -1 7-  0 -6  7 -4
Curve Equation t 128576s1 [0,-1,0,-128641,3793217] 1
128576t (1 curve)	2	2+ 7- 41+	2+ -1 -1 7- -3  2 -1 -3
Curve Equation t Generators 128576t1 [0,-1,0,-121,-223] 1 [-8:13:1]&[16:41:1]
128576u (1 curve)	2	2+ 7- 41+	2+ -1 -1 7-  6 -4 -7  0
Curve Equation t Generators 128576u1 [0,-1,0,-65921,-669311] 1 [1377:-50176:1]&[-93:2156:1]
128576v (1 curve)	2	2+ 7- 41+	2+ -1 -3 7- -4 -2 -3 -4
Curve Equation t Generators 128576v1 [0,-1,0,-737,-7391] 1 [-16:7:1]&[-15:8:1]
128576w (1 curve)	0	2+ 7- 41+	2+  2  2 7-  0  3  4  2
Curve Equation t 128576w1 [0,-1,0,-233697,-43416127] 1
128576x (2 curves)	0	2+ 7- 41+	2+  2  2 7- -2  6  6 -2
Curve Equation t 128576x1 [0,-1,0,-2417,-42895] 2 128576x2 [0,-1,0,1503,-172255] 2
128576y (1 curve)	0	2+ 7- 41+	2+  2 -2 7-  4  1  0 -6
Curve Equation t 128576y1 [0,-1,0,831,48833] 1
128576z (1 curve)	0	2+ 7- 41+	2+ -2  2 7-  0  3  4 -2
Curve Equation t 128576z1 [0,1,0,-233697,43416127] 1
128576ba (1 curve)	0	2+ 7- 41+	2+  3 -3 7-  2 -4  1  8
Curve Equation t 128576ba1 [0,0,0,-3724,-71344] 1
128576bb (1 curve)	2	2+ 7- 41+	2+ -3 -3 7- -2 -4  1 -8
Curve Equation t Generators 128576bb1 [0,0,0,-3724,71344] 1 [-42:392:1]&[-28:392:1]
128576bc (1 curve)	1	2+ 7- 41-	2+  0  0 7-  2  1 -2 -2
Curve Equation t Generators 128576bc1 [0,0,0,-140,1008] 1 [8:20:1]
128576bd (2 curves)	1	2+ 7- 41-	2+  0 -2 7-  0 -4  2  4
Curve Equation t Generators 128576bd1 [0,0,0,-2156,27440] 2 [-35:245:1] 128576bd2 [0,0,0,5684,181104] 2 [-3:405:1]
128576be (2 curves)	1	2+ 7- 41-	2+  0 -4 7-  2 -6  6  4
Curve Equation t Generators 128576be1 [0,0,0,10388,-1070160] 2 [120:1380:1] 128576be2 [0,0,0,-115052,-13363280] 2 [2310:109760:1]
128576bf (1 curve)	1	2+ 7- 41-	2+  1  1 7- -3  0  8  1
Curve Equation t Generators 128576bf1 [0,1,0,-800,42062] 1 [439645:26076308:125]
128576bg (1 curve)	1	2+ 7- 41-	2+  1  3 7- -4  2  3  4
Curve Equation t Generators 128576bg1 [0,1,0,-36129,2607359] 1 [3225:2744:27]
128576bh (2 curves)	1	2+ 7- 41-	2+  1 -3 7- -3 -4  0 -7
Curve Equation t Generators 128576bh1 [0,1,0,-177,-1009] 1 [25:104:1] 128576bh2 [0,1,0,943,-1681] 1 [41:328:1]
128576bi (1 curve)	1	2+ 7- 41-	2+  1 -3 7- -6  0  7  0
Curve Equation t Generators 128576bi1 [0,1,0,-22017,1031519] 1 [331:5488:1]
128576bj (1 curve)	1	2+ 7- 41-	2+ -1  1 7-  0  2  5 -4
Curve Equation t Generators 128576bj1 [0,-1,0,-7905,182113] 1 [19:196:1]
128576bk (1 curve)	1	2+ 7- 41-	2+ -1  1 7-  3  0  8 -1
Curve Equation t Generators 128576bk1 [0,-1,0,-800,-42062] 1 [101590313699:1537357246048:433798093]
128576bl (1 curve)	1	2+ 7- 41-	2+ -1 -1 7- -1 -2  0  3
Curve Equation t Generators 128576bl1 [0,-1,0,159,2017] 1 [9:-64:1]
128576bm (1 curve)	1	2+ 7- 41-	2+ -1 -1 7-  5 -2  3 -3
Curve Equation t Generators 128576bm1 [0,-1,0,-99241,-11953423] 1 [-8049440:6870739:42875]
128576bn (1 curve)	1	2+ 7- 41-	2+ -1  3 7-  4  2  3 -4
Curve Equation t Generators 128576bn1 [0,-1,0,-36129,-2607359] 1 [1405:52136:1]
128576bo (1 curve)	1	2+ 7- 41-	2+ -1 -3 7- -4  2  7  4
Curve Equation t Generators 128576bo1 [0,-1,0,-69057,-6361151] 1 [817:21952:1]
128576bp (2 curves)	1	2+ 7- 41-	2+  2  2 7-  2  4 -6 -6
Curve Equation t Generators 128576bp1 [0,-1,0,-265057,-20132895] 2 [-12292193019503821380:-53219702662836402455:26680508532923328] 128576bp2 [0,-1,0,-2272097,1304914913] 2 [-18540510042:-185068210103:10941048]
128576bq (2 curves)	1	2+ 7- 41-	2+  2 -2 7-  6 -4  2  2
Curve Equation t Generators 128576bq1 [0,-1,0,-6464929,-6324217311] 2 [-158220971558766127770145711857780:59327617186277513334090898497289:107241766159708520565194098368] 128576bq2 [0,-1,0,-6966689,-5284871647] 2 [-2569719982126313:-42318998663163096:2883296787337]
128576br (2 curves)	1	2+ 7- 41-	2+ -2 -2 7-  2  4  2  6
Curve Equation t Generators 128576br1 [0,1,0,-4769,-67649] 2 [451:9472:1] 128576br2 [0,1,0,-36129,2585407] 2 [-166:2009:1]
128576bs (2 curves)	1	2+ 7- 41-	2+ -2  4 7- -4  4  2 -6
Curve Equation t Generators 128576bs1 [0,1,0,-99343841,-923301592193] 2 [680570933713683590186854465766590320765060:69998366377204807058397203319295577584939703:36605463984985737793306112181952424000] 128576bs2 [0,1,0,-2154552801,-38453472410753] 2 [446094824334955387768185:89430321368255000349090056:5909959014340396625]
128576bt (1 curve)	1	2+ 7- 41-	2+  3 -1 7- -4 -6 -3  4
Curve Equation t Generators 128576bt1 [0,0,0,-126028,17215856] 1 [4620:21952:27]
128576bu (2 curves)	1	2+ 7- 41-	2+ -3 -1 7-  2  0  3 -8
Curve Equation t Generators 128576bu1 [0,0,0,-60690028,-167515728464] 1 [-1833846:22052864:343] 128576bu2 [0,0,0,-30141076588,2014124231133616] 1 [100230:2624:1]
128576bv (1 curve)	1	2+ 7- 41-	2+ -3 -1 7-  5  6  0  1
Curve Equation t Generators 128576bv1 [0,0,0,-643468,-199801616] 1 [105068470:22973760256:2197]
128576bw (1 curve)	1	2+ 7- 41-	2+ -3  3 7- -1 -2  7  7
Curve Equation t Generators 128576bw1 [0,0,0,-182476,-29983688] 1 [-41294605:21645637:166375]
128576bx (1 curve)	2	2- 7+ 41+	2-  0  0 7+ -2 -1  2 -2
Curve Equation t Generators 128576bx1 [0,0,0,-6860,345744] 1 [98:-784:1]&[-19:685:1]
128576by (2 curves)	0	2- 7+ 41+	2-  1  3 7+  3  4  0 -7
Curve Equation t 128576by1 [0,1,0,-8689,-328721] 1 128576by2 [0,1,0,46191,-668977] 1
128576bz (1 curve)	0	2- 7+ 41+	2- -1  1 7+  1  2  0  3
Curve Equation t 128576bz1 [0,-1,0,7775,707393] 1
128576ca (1 curve)	0	2- 7+ 41+	2- -1  1 7+ -5  2 -3 -3
Curve Equation t 128576ca1 [0,-1,0,-2025,-34271] 1
128576cb (1 curve)	0	2- 7+ 41+	2- -3  1 7+ -5 -6  0  1
Curve Equation t 128576cb1 [0,0,0,-13132,-582512] 1
128576cc (1 curve)	2	2- 7+ 41+	2- -3 -3 7+  1  2 -7  7
Curve Equation t Generators 128576cc1 [0,0,0,-3724,-87416] 1 [-35:7:1]&[77:287:1]
128576cd (1 curve)	1	2- 7+ 41-	2- -1  1 7+  3 -2  1 -3
Curve Equation t Generators 128576cd1 [0,-1,0,-5945,-88367] 1 [-16:49:1]
128576ce (1 curve)	1	2- 7+ 41-	2-  2  2 7+ -4 -1  0 -6
Curve Equation t Generators 128576ce1 [0,-1,0,40703,16831137] 1 [2915042195856:236246538651339:444194947]
128576cf (4 curves)	1	2- 7- 41+	2-  0 -2 7-  0  2 -2  0
Curve Equation t Generators 128576cf1 [0,0,0,-131516,18357360] 2 [212:64:1] 128576cf2 [0,0,0,-135436,17204880] 4 [604:12480:1] 128576cf3 [0,0,0,186004,86507344] 2 [1556340:55491904:3375] 128576cf4 [0,0,0,-519596,-125856304] 2 [1834:71344:1]
128576cg (2 curves)	1	2- 7- 41+	2-  1  1 7-  2  4 -3  0
Curve Equation t Generators 128576cg1 [0,1,0,-548865,151216127] 1 [-16053:441784:27] 128576cg2 [0,1,0,-49501825,-134070116993] 1 [-1870041066625275:45152042879944:460994203125]
128576ch (1 curve)	1	2- 7- 41+	2-  1 -1 7-  3  2 -1  3
Curve Equation t Generators 128576ch1 [0,1,0,-121,223] 1 [66:533:1]
128576ci (1 curve)	1	2- 7- 41+	2-  1 -1 7- -6 -4 -7  0
Curve Equation t Generators 128576ci1 [0,1,0,-65921,669311] 1 [-187:2548:1]
128576cj (1 curve)	1	2- 7- 41+	2- -1  3 7-  4 -2 -7  4
Curve Equation t Generators 128576cj1 [0,-1,0,-1409,-18143] 1 [-16:7:1]
128576ck (2 curves)	1	2- 7- 41+	2- -1 -3 7-  0  2  3  4
Curve Equation t Generators 128576ck1 [0,-1,0,-249377,34657729] 1 [509:6272:1] 128576ck2 [0,-1,0,-7321057,-7619857279] 1 [69389:18264064:1]
128576cl (2 curves)	1	2- 7- 41+	2- -2  2 7-  2  6  6  2
Curve Equation t Generators 128576cl1 [0,1,0,-2417,42895] 2 [41:120:1] 128576cl2 [0,1,0,1503,172255] 2 [-69:11080:27]
128576cm (1 curve)	1	2- 7- 41+	2- -2 -2 7- -4  1  0  6
Curve Equation t Generators 128576cm1 [0,1,0,831,-48833] 1 [34:141:1]
128576cn (1 curve)	2	2- 7- 41-	2-  0  0 7- -2  1 -2  2
Curve Equation t Generators 128576cn1 [0,0,0,-140,-1008] 1 [18:48:1]&[29:139:1]
128576co (2 curves)	0	2- 7- 41-	2-  0 -2 7-  0 -4  2 -4
Curve Equation t 128576co1 [0,0,0,-2156,-27440] 2 128576co2 [0,0,0,5684,-181104] 2
128576cp (2 curves)	2	2- 7- 41-	2-  0 -4 7- -2 -6  6 -4
Curve Equation t Generators 128576cp1 [0,0,0,10388,1070160] 2 [-52:624:1]&[28:1176:1] 128576cp2 [0,0,0,-115052,13363280] 2 [-35:4165:1]&[58:2624:1]
128576cq (1 curve)	0	2- 7- 41-	2-  1  1 7-  0  2  5  4
Curve Equation t 128576cq1 [0,1,0,-7905,-182113] 1
128576cr (1 curve)	0	2- 7- 41-	2-  1 -1 7-  1 -2  0 -3
Curve Equation t 128576cr1 [0,1,0,159,-2017] 1
128576cs (1 curve)	0	2- 7- 41-	2-  1 -1 7- -5 -2  3  3
Curve Equation t 128576cs1 [0,1,0,-99241,11953423] 1
128576ct (1 curve)	0	2- 7- 41-	2-  1 -3 7-  4  2  7 -4
Curve Equation t 128576ct1 [0,1,0,-69057,6361151] 1
128576cu (2 curves)	2	2- 7- 41-	2- -1 -3 7-  3 -4  0  7
Curve Equation t Generators 128576cu1 [0,-1,0,-177,1009] 1 [-15:8:1]&[9:8:1] 128576cu2 [0,-1,0,943,1681] 1 [41:328:1]&[119:1336:1]
128576cv (1 curve)	0	2- 7- 41-	2- -1 -3 7-  6  0  7  0
Curve Equation t 128576cv1 [0,-1,0,-22017,-1031519] 1
128576cw (2 curves)	0	2- 7- 41-	2-  2 -2 7- -2  4  2 -6
Curve Equation t 128576cw1 [0,-1,0,-4769,67649] 2 128576cw2 [0,-1,0,-36129,-2585407] 2
128576cx (2 curves)	0	2- 7- 41-	2-  2 -2 7-  6 -4 -6  2
Curve Equation t 128576cx1 [0,-1,0,-2809,57849] 2 128576cx2 [0,-1,0,-4769,-31135] 2
128576cy (2 curves)	0	2- 7- 41-	2-  2  4 7-  4  4  2  6
Curve Equation t 128576cy1 [0,-1,0,-99343841,923301592193] 2 128576cy2 [0,-1,0,-2154552801,38453472410753] 2
128576cz (2 curves)	0	2- 7- 41-	2- -2  2 7- -2  4 -6  6
Curve Equation t 128576cz1 [0,1,0,-265057,20132895] 2 128576cz2 [0,1,0,-2272097,-1304914913] 2
128576da (2 curves)	0	2- 7- 41-	2- -2 -2 7- -6 -4  2 -2
Curve Equation t 128576da1 [0,1,0,-6464929,6324217311] 2 128576da2 [0,1,0,-6966689,5284871647] 2
128576db (2 curves)	2	2- 7- 41-	2- -2 -2 7- -6 -4 -6 -2
Curve Equation t Generators 128576db1 [0,1,0,-2809,-57849] 2 [-31:20:1]&[-29:8:1] 128576db2 [0,1,0,-4769,31135] 2 [-47:392:1]&[-33:392:1]
128576dc (2 curves)	0	2- 7- 41-	2-  3 -1 7- -2  0  3  8
Curve Equation t 128576dc1 [0,0,0,-60690028,167515728464] 1 128576dc2 [0,0,0,-30141076588,-2014124231133616] 1
128576dd (1 curve)	0	2- 7- 41-	2-  3 -1 7- -5  6  0 -1
Curve Equation t 128576dd1 [0,0,0,-643468,199801616] 1
128576de (1 curve)	0	2- 7- 41-	2-  3  3 7-  1 -2  7 -7
Curve Equation t 128576de1 [0,0,0,-182476,29983688] 1
128576df (1 curve)	2	2- 7- 41-	2- -3 -1 7-  4 -6 -3 -4
Curve Equation t Generators 128576df1 [0,0,0,-126028,-17215856] 1 [-206:64:1]&[-203:49:1]

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