Cremona's table of elliptic curves

112710 = 2 · 3 · 5 · 13 · 17²

Class	r	Atkin-Lehner	Eigenvalues
112710a (1 curve)	1	2+ 3+ 5+ 13+ 17+	2+ 3+ 5+ -2 -2 13+ 17+  1
Curve Equation t Generators 112710a1 [1,1,0,-40848,3160758] 1 [-211:1668:1]
112710b (1 curve)	1	2+ 3+ 5+ 13+ 17+	2+ 3+ 5+  4 -5 13+ 17+  1
Curve Equation t Generators 112710b1 [1,1,0,37,237] 1 [2:-19:1]
112710c (1 curve)	1	2+ 3+ 5+ 13+ 17+	2+ 3+ 5+ -4  5 13+ 17+ -1
Curve Equation t Generators 112710c1 [1,1,0,-27588,-1872432] 1 [408:7212:1]
112710d (2 curves)	0	2+ 3+ 5+ 13- 17+	2+ 3+ 5+  2  0 13- 17+  6
Curve Equation t 112710d1 [1,1,0,-135113,-14317707] 2 112710d2 [1,1,0,333067,-91192863] 2
112710e (1 curve)	0	2+ 3+ 5+ 13- 17+	2+ 3+ 5+  2  3 13- 17+ -3
Curve Equation t 112710e1 [1,1,0,-26314408763,1642993826673117] 1
112710f (4 curves)	0	2+ 3+ 5+ 13- 17+	2+ 3+ 5+ -2  0 13- 17+  2
Curve Equation t 112710f1 [1,1,0,1155272,18488128] 2 112710f2 [1,1,0,-4624728,142180128] 2 112710f3 [1,1,0,-15426103,-25161987947] 2 112710f4 [1,1,0,-252174903,-1541443352427] 2
112710g (2 curves)	0	2+ 3+ 5+ 13- 17+	2+ 3+ 5+ -2  3 13- 17+ -7
Curve Equation t 112710g1 [1,1,0,-84538,-10693358] 1 112710g2 [1,1,0,-7085563,-7262502443] 1
112710h (2 curves)	2	2+ 3+ 5+ 13- 17+	2+ 3+ 5+ -4  0 13- 17+  6
Curve Equation t Generators 112710h1 [1,1,0,-4978,114868] 2 [1:331:1]&[-69:403:1] 112710h2 [1,1,0,-21298,-1089548] 2 [-84:382:1]&[-76:350:1]
112710i (1 curve)	0	2+ 3+ 5- 13+ 17+	2+ 3+ 5-  2  2 13+ 17+  5
Curve Equation t 112710i1 [1,1,0,6123,-136851] 1
112710j (4 curves)	0	2+ 3+ 5- 13+ 17+	2+ 3+ 5- -4  0 13+ 17+  4
Curve Equation t 112710j1 [1,1,0,-83382,15275604] 2 112710j2 [1,1,0,-1563062,751268436] 4 112710j3 [1,1,0,-1794262,514103476] 2 112710j4 [1,1,0,-25006742,48121568244] 2
112710k (1 curve)	0	2+ 3+ 5- 13+ 17+	2+ 3+ 5- -4  5 13+ 17+ -1
Curve Equation t 112710k1 [1,1,0,30310748,49525284016] 1
112710l (1 curve)	1	2+ 3+ 5- 13+ 17-	2+ 3+ 5- -4 -1 13+ 17- -5
Curve Equation t Generators 112710l1 [1,1,0,276398583,11486046058821] 1 [80562:23552679:1]
112710m (1 curve)	1	2+ 3+ 5- 13+ 17-	2+ 3+ 5- -4  4 13+ 17-  0
Curve Equation t Generators 112710m1 [1,1,0,-1266837,-549548019] 1 [149653020:4311107139:85184]
112710n (1 curve)	1	2+ 3+ 5- 13- 17+	2+ 3+ 5-  0  0 13- 17+  4
Curve Equation t Generators 112710n1 [1,1,0,768,14976] 1 [-3:114:1]
112710o (4 curves)	1	2+ 3+ 5- 13- 17+	2+ 3+ 5-  0  0 13- 17+  4
Curve Equation t Generators 112710o1 [1,1,0,790843,-414434739] 2 [190398810:8312683611:117649] 112710o2 [1,1,0,-5890837,-4406070371] 4 [6950:535427:1] 112710o3 [1,1,0,-29768017,58615358521] 4 [4320:101099:1] 112710o4 [1,1,0,-88920537,-322758546111] 2 [7940655:21163463:729]
112710p (1 curve)	1	2+ 3+ 5- 13- 17+	2+ 3+ 5-  2 -3 13- 17+ -3
Curve Equation t Generators 112710p1 [1,1,0,-1045752,-489633984] 1 [4272:268104:1]
112710q (4 curves)	1	2+ 3+ 5- 13- 17+	2+ 3+ 5- -2  0 13- 17+  2
Curve Equation t Generators 112710q1 [1,1,0,-843452,-13491456] 2 [-745:14588:1] 112710q2 [1,1,0,3370168,-103662924] 2 [970:-64354:1] 112710q3 [1,1,0,-48012587,-128069780739] 2 [-31970:20467:8] 112710q4 [1,1,0,-47180267,-132722948931] 2 [8518:284741:1]
112710r (2 curves)	1	2+ 3+ 5- 13- 17+	2+ 3+ 5- -2  3 13- 17+ -1
Curve Equation t Generators 112710r1 [1,1,0,-82,424] 1 [10:22:1] 112710r2 [1,1,0,683,-7379] 1 [82:-821:1]
112710s (2 curves)	1	2+ 3+ 5- 13- 17+	2+ 3+ 5-  4 -2 13- 17+ -4
Curve Equation t Generators 112710s1 [1,1,0,-204762,35559936] 2 [-33:6519:1] 112710s2 [1,1,0,-167192,49062594] 2 [-7:7091:1]
112710t (1 curve)	2	2+ 3+ 5- 13- 17-	2+ 3+ 5-  0 -3 13- 17- -5
Curve Equation t Generators 112710t1 [1,1,0,-50298577,1118799483541] 1 [16882:-2262641:1]&[-9995:794401:1]
112710u (1 curve)	0	2+ 3+ 5- 13- 17-	2+ 3+ 5-  2  2 13- 17- -1
Curve Equation t 112710u1 [1,1,0,-505322,557011884] 1
112710v (2 curves)	0	2+ 3- 5+ 13+ 17+	2+ 3- 5+  2 -4 13+ 17+ -2
Curve Equation t 112710v1 [1,0,1,-15179,-758794] 2 112710v2 [1,0,1,-246379,-47091274] 2
112710w (1 curve)	0	2+ 3- 5+ 13+ 17+	2+ 3- 5+  4  1 13+ 17+ -5
Curve Equation t 112710w1 [1,0,1,79879190336,56430385132654862] 1
112710x (4 curves)	0	2+ 3- 5+ 13+ 17+	2+ 3- 5+  4  4 13+ 17+ -8
Curve Equation t 112710x1 [1,0,1,-169794,26878276] 2 112710x2 [1,0,1,-221814,9025012] 4 112710x3 [1,0,1,861936,71449012] 2 112710x4 [1,0,1,-2137884,-1195799804] 2
112710y (1 curve)	0	2+ 3- 5+ 13+ 17+	2+ 3- 5+  4 -4 13+ 17+  0
Curve Equation t 112710y1 [1,0,1,-4384,-112114] 1
112710z (1 curve)	1	2+ 3- 5+ 13+ 17-	2+ 3- 5+ -2 -2 13+ 17-  5
Curve Equation t Generators 112710z1 [1,0,1,1769396,-684735094] 1 [12739582913803872:910932918919052927:2627500721399]
112710ba (2 curves)	1	2+ 3- 5+ 13- 17+	2+ 3- 5+  0 -2 13- 17+ -4
Curve Equation t Generators 112710ba1 [1,0,1,-129381694,-566452339024] 2 [-4624364083:1361597557:704969] 112710ba2 [1,0,1,-126977214,-588517771088] 2 [67968408754:-20986921892799:704969]
112710bb (1 curve)	1	2+ 3- 5+ 13- 17+	2+ 3- 5+  0  3 13- 17+  1
Curve Equation t Generators 112710bb1 [1,0,1,-5064,285652] 1 [58:404:1]
112710bc (1 curve)	1	2+ 3- 5+ 13- 17+	2+ 3- 5+  0  3 13- 17+ -5
Curve Equation t Generators 112710bc1 [1,0,1,-174044,227712026] 1 [1409:52023:1]
112710bd (1 curve)	1	2+ 3- 5+ 13- 17+	2+ 3- 5+  2 -5 13- 17+ -1
Curve Equation t Generators 112710bd1 [1,0,1,1104696,-195699698] 1 [908:38994:1]
112710be (1 curve)	1	2+ 3- 5+ 13- 17+	2+ 3- 5+ -2 -2 13- 17+ -1
Curve Equation t Generators 112710be1 [1,0,1,-1749,113272] 1 [26:-306:1]
112710bf (1 curve)	0	2+ 3- 5+ 13- 17-	2+ 3- 5+  0  0 13- 17-  4
Curve Equation t 112710bf1 [1,0,1,221801,72024122] 1
112710bg (2 curves)	0	2+ 3- 5+ 13- 17-	2+ 3- 5+  2 -3 13- 17- -1
Curve Equation t 112710bg1 [1,0,1,-23849,2249696] 3 112710bg2 [1,0,1,197236,-37634038] 1
112710bh (1 curve)	0	2+ 3- 5+ 13- 17-	2+ 3- 5+ -2  3 13- 17- -3
Curve Equation t 112710bh1 [1,0,1,-3619,-99874] 1
112710bi (4 curves)	1	2+ 3- 5- 13+ 17+	2+ 3- 5-  0  0 13+ 17+  0
Curve Equation t Generators 112710bi1 [1,0,1,-3908,90866] 2 [77:459:1] 112710bi2 [1,0,1,-9688,-242062] 4 [-53:377:1] 112710bi3 [1,0,1,27882,-1654694] 2 [92:1254:1] 112710bi4 [1,0,1,-139738,-20113702] 2 [432:217:1]
112710bj (1 curve)	1	2+ 3- 5- 13+ 17+	2+ 3- 5-  0 -3 13+ 17+ -3
Curve Equation t Generators 112710bj1 [1,0,1,90017,1507699826] 1 [7402:634844:1]
112710bk (1 curve)	1	2+ 3- 5- 13+ 17+	2+ 3- 5- -2  1 13+ 17+ -5
Curve Equation t Generators 112710bk1 [1,0,1,9097,-692902] 1 [2062:33645:8]
112710bl (4 curves)	1	2+ 3- 5- 13+ 17+	2+ 3- 5-  4  4 13+ 17+ -4
Curve Equation t Generators 112710bl1 [1,0,1,-60263,5688218] 2 [4449:10964:27] 112710bl2 [1,0,1,-66043,4529906] 4 [-78:3073:1] 112710bl3 [1,0,1,179607,30372286] 2 [6564:250591:27] 112710bl4 [1,0,1,-404173,-95421322] 2 [-312:733:1]
112710bm (1 curve)	0	2+ 3- 5- 13+ 17-	2+ 3- 5-  2  2 13+ 17-  1
Curve Equation t 112710bm1 [1,0,1,-11805223,15611440256] 1
112710bn (1 curve)	0	2+ 3- 5- 13+ 17-	2+ 3- 5-  4 -5 13+ 17- -1
Curve Equation t 112710bn1 [1,0,1,-7973083,-9143447194] 1
112710bo (1 curve)	0	2+ 3- 5- 13+ 17-	2+ 3- 5- -4  5 13+ 17-  1
Curve Equation t 112710bo1 [1,0,1,10542,1090228] 1
112710bp (4 curves)	0	2+ 3- 5- 13- 17+	2+ 3- 5-  0  4 13- 17+ -4
Curve Equation t 112710bp1 [1,0,1,-524108,-14116701382] 2 112710bp2 [1,0,1,-90836608,-328837701382] 4 112710bp3 [1,0,1,-178620358,409880111618] 2 112710bp4 [1,0,1,-1448052858,-21209338264382] 2
112710bq (2 curves)	0	2+ 3- 5- 13- 17+	2+ 3- 5-  4  0 13- 17+  6
Curve Equation t 112710bq1 [1,0,1,-1438793,574417676] 2 112710bq2 [1,0,1,-6155273,-5309862772] 2
112710br (1 curve)	0	2- 3+ 5+ 13+ 17+	2- 3+ 5+  2  3 13+ 17+  7
Curve Equation t 112710br1 [1,1,1,-10206,392703] 1
112710bs (2 curves)	0	2- 3+ 5+ 13+ 17+	2- 3+ 5+ -2  0 13+ 17+  6
Curve Equation t 112710bs1 [1,1,1,-190003056,1007986873809] 2 112710bs2 [1,1,1,-189794976,1010305051473] 2
112710bt (1 curve)	1	2- 3+ 5+ 13+ 17-	2- 3+ 5+  2  2 13+ 17- -7
Curve Equation t Generators 112710bt1 [1,1,1,-23393111,-43562913811] 1 [25259:3922090:1]
112710bu (1 curve)	1	2- 3+ 5+ 13+ 17-	2- 3+ 5+  4 -5 13+ 17-  1
Curve Equation t Generators 112710bu1 [1,1,1,-124276,93553349] 1 [2158:70359:8]
112710bv (1 curve)	1	2- 3+ 5+ 13+ 17-	2- 3+ 5+ -4  3 13+ 17-  1
Curve Equation t Generators 112710bv1 [1,1,1,-6717811,-6828321487] 1 [3299:81582:1]
112710bw (4 curves)	1	2- 3+ 5+ 13- 17+	2- 3+ 5+  0  0 13- 17+  4
Curve Equation t Generators 112710bw1 [1,1,1,-88151,-1990051] 4 [-271:1580:1] 112710bw2 [1,1,1,-1064971,-422804107] 4 [-609:904:1] 112710bw3 [1,1,1,-726841,-695607391] 2 [96276:2526205:64] 112710bw4 [1,1,1,-17032221,-27062564007] 2 [-514758:259133:216]
112710bx (1 curve)	1	2- 3+ 5+ 13- 17+	2- 3+ 5+  2  3 13- 17+ -7
Curve Equation t Generators 112710bx1 [1,1,1,5190434,11614015259] 1 [17137:2257191:1]
112710by (2 curves)	1	2- 3+ 5+ 13- 17+	2- 3+ 5+ -2  4 13- 17+ -4
Curve Equation t Generators 112710by1 [1,1,1,-14116,-650587] 2 [-71:37:1] 112710by2 [1,1,1,-10036,-1029211] 2 [133:37:1]
112710bz (2 curves)	1	2- 3+ 5+ 13- 17+	2- 3+ 5+  4  3 13- 17+ -1
Curve Equation t Generators 112710bz1 [1,1,1,-6269861,6059208683] 1 [2279:58972:1] 112710bz2 [1,1,1,13844539,31694387243] 1 [-3698:1271711:8]
112710ca (1 curve)	1	2- 3+ 5- 13+ 17+	2- 3+ 5-  2  1 13+ 17+  1
Curve Equation t Generators 112710ca1 [1,1,1,-69655,7345805] 1 [-305:730:1]
112710cb (2 curves)	1	2- 3+ 5- 13+ 17+	2- 3+ 5- -4  0 13+ 17+ -2
Curve Equation t Generators 112710cb1 [1,1,1,-22055,-1265443] 2 [-85:106:1] 112710cb2 [1,1,1,-352535,-80712835] 2 [6094:74299:8]
112710cc (1 curve)	0	2- 3+ 5- 13+ 17-	2- 3+ 5- -2  1 13+ 17- -5
Curve Equation t 112710cc1 [1,1,1,-77651705,-263407398073] 1
112710cd (1 curve)	0	2- 3+ 5- 13+ 17-	2- 3+ 5- -2  3 13+ 17-  5
Curve Equation t 112710cd1 [1,1,1,-370215,92562657] 1
112710ce (1 curve)	0	2- 3+ 5- 13+ 17-	2- 3+ 5- -2  6 13+ 17-  5
Curve Equation t 112710ce1 [1,1,1,1150,7517] 1
112710cf (1 curve)	0	2- 3+ 5- 13- 17+	2- 3+ 5-  0 -1 13- 17+  5
Curve Equation t 112710cf1 [1,1,1,-14617915,21507229145] 1
112710cg (2 curves)	0	2- 3+ 5- 13- 17+	2- 3+ 5-  0 -4 13- 17+  2
Curve Equation t 112710cg1 [1,1,1,-26305,345647] 2 112710cg2 [1,1,1,-321085,69795815] 2
112710ch (2 curves)	0	2- 3+ 5- 13- 17+	2- 3+ 5-  2  6 13- 17+ -4
Curve Equation t 112710ch1 [1,1,1,-1524770,555003695] 2 112710ch2 [1,1,1,3584750,3485824367] 2
112710ci (4 curves)	0	2- 3+ 5- 13- 17+	2- 3+ 5- -2  0 13- 17+  2
Curve Equation t 112710ci1 [1,1,1,-1740,178605] 2 112710ci2 [1,1,1,-59540,5542445] 2 112710ci3 [1,1,1,15600,-4732083] 2 112710ci4 [1,1,1,-345650,-74381083] 2
112710cj (8 curves)	0	2- 3+ 5- 13- 17+	2- 3+ 5-  4  0 13- 17+ -4
Curve Equation t 112710cj1 [1,1,1,-605786200,5525820002585] 4 112710cj2 [1,1,1,-1606049880,-17425830293223] 4 112710cj3 [1,1,1,-7454115160,-246099036985063] 4 112710cj4 [1,1,1,4300555240,-115815695740135] 2 112710cj5 [1,1,1,-23516873880,-1387921578504423] 2 112710cj6 [1,1,1,-119049939240,-15810413259752295] 4 112710cj7 [1,1,1,-118834062020,-15870608118373543] 2 112710cj8 [1,1,1,-1904799001740,-1011864096741752295] 2
112710ck (2 curves)	1	2- 3- 5+ 13+ 17+	2- 3- 5+  2  0 13+ 17+  2
Curve Equation t Generators 112710ck1 [1,0,0,-3936186,2971212516] 2 [-2220:28854:1] 112710ck2 [1,0,0,-606906,7837954020] 2 [-2016:30486:1]
112710cl (1 curve)	1	2- 3- 5+ 13+ 17+	2- 3- 5+  2 -1 13+ 17+ -5
Curve Equation t Generators 112710cl1 [1,0,0,-268691,-53630175] 1 [1006:25849:1]
112710cm (1 curve)	1	2- 3- 5+ 13+ 17+	2- 3- 5+  2 -3 13+ 17+  5
Curve Equation t Generators 112710cm1 [1,0,0,-1281,18765] 1 [-6:165:1]
112710cn (1 curve)	1	2- 3- 5+ 13+ 17+	2- 3- 5+  2 -6 13+ 17+  5
Curve Equation t Generators 112710cn1 [1,0,0,332344,34605486] 1 [2078:93101:8]
112710co (2 curves)	1	2- 3- 5+ 13+ 17+	2- 3- 5+  4  0 13+ 17+ -2
Curve Equation t Generators 112710co1 [1,0,0,-6373901,-6172503279] 2 [-1442:5275:1] 112710co2 [1,0,0,-101882621,-395828979135] 2 [-7755946:3918545:1331]
112710cp (4 curves)	1	2- 3- 5+ 13+ 17+	2- 3- 5+ -4 -4 13+ 17+  4
Curve Equation t Generators 112710cp1 [1,0,0,270209,42557321] 2 [-164032:3700007:1331] 112710cp2 [1,0,0,-1400211,383657085] 4 [259090014:11935188993:1225043] 112710cp3 [1,0,0,-9703181,-11358403089] 2 [32934:1070751:8] 112710cp4 [1,0,0,-19823961,33962783835] 2 [11383794096337544:20093611022865731:4302115807744]
112710cq (2 curves)	0	2- 3- 5+ 13- 17+	2- 3- 5+  0  4 13- 17+  2
Curve Equation t 112710cq1 [1,0,0,-91,65] 2 112710cq2 [1,0,0,-1111,14141] 2
112710cr (6 curves)	0	2- 3- 5+ 13- 17+	2- 3- 5+  0 -4 13- 17+  4
Curve Equation t 112710cr1 [1,0,0,4329,44265] 2 112710cr2 [1,0,0,-18791,363321] 4 112710cr3 [1,0,0,-163291,-25155379] 4 112710cr4 [1,0,0,-244211,46394085] 2 112710cr5 [1,0,0,-33241,-64092349] 2 112710cr6 [1,0,0,-2605341,-1618837209] 2
112710cs (2 curves)	2	2- 3- 5+ 13- 17+	2- 3- 5+ -2 -6 13- 17+ -4
Curve Equation t Generators 112710cs1 [1,0,0,-5276,112656] 2 [76:-428:1]&[-74:352:1] 112710cs2 [1,0,0,12404,710240] 2 [-46:230:1]&[-10:770:1]
112710ct (4 curves)	0	2- 3- 5+ 13- 17+	2- 3- 5+  4  4 13- 17+  8
Curve Equation t 112710ct1 [1,0,0,-933476,191239440] 2 112710ct2 [1,0,0,-6852196,-6770359024] 4 112710ct3 [1,0,0,638684,-20779802800] 2 112710ct4 [1,0,0,-109042596,-438279542064] 2
112710cu (1 curve)	0	2- 3- 5+ 13- 17+	2- 3- 5+  4 -5 13- 17+ -7
Curve Equation t 112710cu1 [1,0,0,-407496,100204440] 1
112710cv (4 curves)	0	2- 3- 5+ 13- 17+	2- 3- 5+ -4  4 13- 17+  8
Curve Equation t 112710cv1 [1,0,0,456614,20175716] 2 112710cv2 [1,0,0,-1855386,162132516] 4 112710cv3 [1,0,0,-18559586,-30617026404] 2 112710cv4 [1,0,0,-22143186,40035774636] 2
112710cw (1 curve)	1	2- 3- 5+ 13- 17-	2- 3- 5+  0  1 13- 17-  5
Curve Equation t Generators 112710cw1 [1,0,0,-50581,4374641] 1 [128:-103:1]
112710cx (1 curve)	0	2- 3- 5- 13+ 17+	2- 3- 5- -2  1 13+ 17+ -1
Curve Equation t 112710cx1 [1,0,0,-1202535,1263311817] 1
112710cy (1 curve)	0	2- 3- 5- 13+ 17+	2- 3- 5- -2 -2 13+ 17+ -7
Curve Equation t 112710cy1 [1,0,0,-6760609085,-213977271288975] 1
112710cz (2 curves)	0	2- 3- 5- 13+ 17+	2- 3- 5- -2 -4 13+ 17+ -6
Curve Equation t 112710cz1 [1,0,0,1150,-41568] 2 112710cz2 [1,0,0,-13300,-529978] 2
112710da (1 curve)	0	2- 3- 5- 13+ 17+	2- 3- 5-  4 -3 13+ 17+  1
Curve Equation t 112710da1 [1,0,0,-23245,-1391215] 1
112710db (1 curve)	0	2- 3- 5- 13+ 17+	2- 3- 5- -4  5 13+ 17+  1
Curve Equation t 112710db1 [1,0,0,-35915770,459879014900] 1
112710dc (1 curve)	1	2- 3- 5- 13+ 17-	2- 3- 5- -2 -3 13+ 17-  7
Curve Equation t Generators 112710dc1 [1,0,0,-2949540,1949997492] 1 [24:43338:1]
112710dd (2 curves)	1	2- 3- 5- 13- 17+	2- 3- 5-  2 -4 13- 17+ -4
Curve Equation t Generators 112710dd1 [1,0,0,-4079530,-3167776348] 2 [-1196:1558:1] 112710dd2 [1,0,0,-2900410,-5036209900] 2 [19910:439895:8]

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