Cremona's table of elliptic curves

10710 = 2 · 3² · 5 · 7 · 17

Class	r	Atkin-Lehner	Eigenvalues
10710a (2 curves)	0	2+ 3+ 5+ 7+ 17-	2+ 3+ 5+ 7+  2 -2 17-  0
Curve Equation t 10710a1 [1,-1,0,-259770,63721396] 2 10710a2 [1,-1,0,-4437690,3599077300] 2
10710b (2 curves)	1	2+ 3+ 5+ 7- 17-	2+ 3+ 5+ 7- -4  0 17-  0
Curve Equation t Generators 10710b1 [1,-1,0,-12300,535040] 2 [61:64:1] 10710b2 [1,-1,0,-197520,33837596] 2 [278:-734:1]
10710c (2 curves)	0	2+ 3+ 5- 7+ 17+	2+ 3+ 5- 7+  2  6 17+ -4
Curve Equation t 10710c1 [1,-1,0,-474,-8092] 2 10710c2 [1,-1,0,-9654,-362440] 2
10710d (2 curves)	1	2+ 3+ 5- 7+ 17-	2+ 3+ 5- 7+ -4  4 17-  0
Curve Equation t Generators 10710d1 [1,-1,0,21,1285] 2 [6:37:1] 10710d2 [1,-1,0,-1659,25813] 2 [2:149:1]
10710e (4 curves)	1	2+ 3+ 5- 7- 17+	2+ 3+ 5- 7-  0 -4 17+ -4
Curve Equation t Generators 10710e1 [1,-1,0,-1239,23373] 6 [-21:210:1] 10710e2 [1,-1,0,-21819,1245825] 6 [-84:1617:1] 10710e3 [1,-1,0,9786,-295372] 2 [3828:51590:27] 10710e4 [1,-1,0,-50694,-2629900] 2 [-116:1354:1]
10710f (6 curves)	0	2+ 3- 5+ 7+ 17+	2+ 3- 5+ 7+ -4  6 17+  4
Curve Equation t 10710f1 [1,-1,0,27540,-1715504] 2 10710f2 [1,-1,0,-156780,-16055600] 4 10710f3 [1,-1,0,-2273580,-1318734320] 2 10710f4 [1,-1,0,-989100,366645136] 4 10710f5 [1,-1,0,-15683220,23909564200] 2 10710f6 [1,-1,0,387900,1306585336] 2
10710g (1 curve)	1	2+ 3- 5+ 7+ 17-	2+ 3- 5+ 7+  2 -5 17- -3
Curve Equation t Generators 10710g1 [1,-1,0,-8055,-276899] 1 [675:17026:1]
10710h (4 curves)	1	2+ 3- 5+ 7- 17+	2+ 3- 5+ 7-  4 -6 17+  0
Curve Equation t Generators 10710h1 [1,-1,0,-9135,330925] 2 [143:1319:1] 10710h2 [1,-1,0,-20655,-662099] 4 [-85:731:1] 10710h3 [1,-1,0,-290655,-60224099] 2 [-310:281:1] 10710h4 [1,-1,0,65025,-4791875] 2 [251:5099:1]
10710i (1 curve)	1	2+ 3- 5- 7+ 17+	2+ 3- 5- 7+ -2 -1 17+  1
Curve Equation t Generators 10710i1 [1,-1,0,111,125] 1 [-1:4:1]
10710j (4 curves)	1	2+ 3- 5- 7+ 17+	2+ 3- 5- 7+  4  2 17+ -8
Curve Equation t Generators 10710j1 [1,-1,0,-39669,-5660875] 2 [1771:73117:1] 10710j2 [1,-1,0,-776949,-263266507] 4 [-503:544:1] 10710j3 [1,-1,0,-12429429,-16863389515] 2 [7471:550552:1] 10710j4 [1,-1,0,-920949,-158751307] 2 [1417:36439:1]
10710k (4 curves)	0	2+ 3- 5- 7- 17+	2+ 3- 5- 7-  4 -6 17+ -4
Curve Equation t 10710k1 [1,-1,0,140616,-6858432] 2 10710k2 [1,-1,0,-596664,-55961280] 4 10710k3 [1,-1,0,-7595064,-8046734400] 2 10710k4 [1,-1,0,-5394744,4783382208] 2
10710l (8 curves)	1	2+ 3- 5- 7- 17-	2+ 3- 5- 7-  0  2 17- -4
Curve Equation t Generators 10710l1 [1,-1,0,-290934,-71922060] 2 [8718:236211:8] 10710l2 [1,-1,0,-4898934,-4172120460] 4 [33230538:-1129688919:10648] 10710l3 [1,-1,0,2093706,489256308] 6 [12:22674:1] 10710l4 [1,-1,0,-78382134,-267080313420] 2 [-12777864346192140:6387300256287185:2499951325248] 10710l5 [1,-1,0,-5143734,-3731921100] 2 [2700:44010:1] 10710l6 [1,-1,0,-9156294,4087006308] 12 [-3143:44114:1] 10710l7 [1,-1,0,-78613794,-265421985192] 6 [11487:583464:1] 10710l8 [1,-1,0,-119698794,503716997808] 6 [6462:2124:1]
10710m (4 curves)	1	2+ 3- 5- 7- 17-	2+ 3- 5- 7-  0 -2 17-  0
Curve Equation t Generators 10710m1 [1,-1,0,126,-10220] 2 [36:182:1] 10710m2 [1,-1,0,-6354,-187772] 4 [-48:94:1] 10710m3 [1,-1,0,-100854,-12302672] 2 [-183:94:1] 10710m4 [1,-1,0,-15534,486040] 4 [-114:932:1]
10710n (4 curves)	1	2+ 3- 5- 7- 17-	2+ 3- 5- 7-  0 -2 17- -8
Curve Equation t Generators 10710n1 [1,-1,0,20421,205285] 2 [71:1382:1] 10710n2 [1,-1,0,-83259,1719013] 4 [-163:3389:1] 10710n3 [1,-1,0,-824139,-286186955] 2 [-534:1457:1] 10710n4 [1,-1,0,-1001259,385259413] 4 [602:329:1]
10710o (4 curves)	1	2+ 3- 5- 7- 17-	2+ 3- 5- 7- -4 -2 17-  8
Curve Equation t Generators 10710o1 [1,-1,0,-99,4293] 2 [-3:69:1] 10710o2 [1,-1,0,-4599,120393] 4 [7:294:1] 10710o3 [1,-1,0,-7749,-62937] 2 [-11:150:1] 10710o4 [1,-1,0,-73449,7680123] 2 [159:-30:1]
10710p (2 curves)	0	2- 3+ 5+ 7+ 17+	2- 3+ 5+ 7+  4  4 17+  0
Curve Equation t 10710p1 [1,-1,1,187,-34883] 2 10710p2 [1,-1,1,-14933,-682019] 2
10710q (2 curves)	1	2- 3+ 5+ 7+ 17-	2- 3+ 5+ 7+ -2  6 17- -4
Curve Equation t Generators 10710q1 [1,-1,1,-53,317] 2 [-3:22:1] 10710q2 [1,-1,1,-1073,13781] 2 [15:22:1]
10710r (4 curves)	0	2- 3+ 5+ 7- 17-	2- 3+ 5+ 7-  0 -4 17- -4
Curve Equation t 10710r1 [1,-1,1,1087,10577] 6 10710r2 [1,-1,1,-5633,99281] 6 10710r3 [1,-1,1,-11153,-619919] 2 10710r4 [1,-1,1,-196373,-33440903] 2
10710s (2 curves)	1	2- 3+ 5- 7+ 17+	2- 3+ 5- 7+ -2 -2 17+  0
Curve Equation t Generators 10710s1 [1,-1,1,-2337932,-1718139761] 2 [2677:104501:1] 10710s2 [1,-1,1,-39939212,-97135147889] 2 [-3659:3989:1]
10710t (2 curves)	0	2- 3+ 5- 7- 17+	2- 3+ 5- 7-  4  0 17+  0
Curve Equation t 10710t1 [1,-1,1,-1367,-19361] 2 10710t2 [1,-1,1,-21947,-1245929] 2
10710u (2 curves)	1	2- 3- 5+ 7+ 17+	2- 3- 5+ 7+  2  2 17+ -4
Curve Equation t Generators 10710u1 [1,-1,1,-4556228,-3742236669] 2 [43593201390402629873:74571333778422910833651:14888751553801] 10710u2 [1,-1,1,-72899978,-239555511669] 2 [58335577358741484270777789627454396402:99789595118489486967305164158388862340399:19923807023457731433763066049624]
10710v (1 curve)	1	2- 3- 5+ 7+ 17+	2- 3- 5+ 7+  2 -3 17+  1
Curve Equation t Generators 10710v1 [1,-1,1,4702,1154081] 1 [73:1335:1]
10710w (2 curves)	1	2- 3- 5+ 7+ 17+	2- 3- 5+ 7+  2 -6 17+  4
Curve Equation t Generators 10710w1 [1,-1,1,-23018,1354281] 2 [113:-489:1] 10710w2 [1,-1,1,-368618,86233641] 2 [321:791:1]
10710x (4 curves)	1	2- 3- 5+ 7+ 17+	2- 3- 5+ 7+ -4  2 17+ -4
Curve Equation t Generators 10710x1 [1,-1,1,-383,-2649] 2 [-9:6:1] 10710x2 [1,-1,1,-1103,10887] 4 [-7:138:1] 10710x3 [1,-1,1,-16403,812607] 2 [87:152:1] 10710x4 [1,-1,1,2677,66831] 2 [35:432:1]
10710y (2 curves)	0	2- 3- 5+ 7+ 17-	2- 3- 5+ 7+  0  0 17- -6
Curve Equation t 10710y1 [1,-1,1,-4748,-13497969] 2 10710y2 [1,-1,1,-879548,-313029489] 2
10710z (2 curves)	0	2- 3- 5+ 7+ 17-	2- 3- 5+ 7+ -2 -6 17- -4
Curve Equation t 10710z1 [1,-1,1,-788,-9133] 2 10710z2 [1,-1,1,-12938,-563173] 2
10710ba (4 curves)	0	2- 3- 5+ 7+ 17-	2- 3- 5+ 7+  4  6 17- -4
Curve Equation t 10710ba1 [1,-1,1,118417,76442231] 2 10710ba2 [1,-1,1,-2139503,1130439287] 4 10710ba3 [1,-1,1,-6766223,-5415444169] 2 10710ba4 [1,-1,1,-33639503,75105039287] 2
10710bb (4 curves)	0	2- 3- 5+ 7- 17+	2- 3- 5+ 7-  0 -6 17+  0
Curve Equation t 10710bb1 [1,-1,1,-461633,-120607279] 2 10710bb2 [1,-1,1,-473153,-114262063] 4 10710bb3 [1,-1,1,-1697873,724916081] 2 10710bb4 [1,-1,1,567247,-547484623] 2
10710bc (2 curves)	0	2- 3- 5+ 7- 17+	2- 3- 5+ 7- -2  4 17+  6
Curve Equation t 10710bc1 [1,-1,1,-12128,520287] 2 10710bc2 [1,-1,1,-194378,33033687] 2
10710bd (4 curves)	0	2- 3- 5+ 7- 17+	2- 3- 5+ 7-  4 -2 17+  0
Curve Equation t 10710bd1 [1,-1,1,-223718,-24660363] 2 10710bd2 [1,-1,1,-3172838,-2173979019] 4 10710bd3 [1,-1,1,-50761958,-139192573323] 2 10710bd4 [1,-1,1,-2769638,-2747168139] 2
10710be (2 curves)	0	2- 3- 5+ 7- 17+	2- 3- 5+ 7-  6  0 17+ -6
Curve Equation t 10710be1 [1,-1,1,19822,-7742419] 2 10710be2 [1,-1,1,-486428,-124382419] 2
10710bf (2 curves)	0	2- 3- 5+ 7- 17+	2- 3- 5+ 7- -6 -7 17+  5
Curve Equation t 10710bf1 [1,-1,1,-383,10577] 1 10710bf2 [1,-1,1,-50108,4329767] 3
10710bg (4 curves)	1	2- 3- 5+ 7- 17-	2- 3- 5+ 7-  0 -4 17-  2
Curve Equation t Generators 10710bg1 [1,-1,1,-161978,-25062919] 2 [627:10621:1] 10710bg2 [1,-1,1,-2591978,-1605534919] 2 [3627:189751:1] 10710bg3 [1,-1,1,131647,-101996719] 6 [393:3016:1] 10710bg4 [1,-1,1,-2633153,-1551857839] 6 [-779:5506:1]
10710bh (2 curves)	1	2- 3- 5+ 7- 17-	2- 3- 5+ 7- -4  4 17- -6
Curve Equation t Generators 10710bh1 [1,-1,1,-158,1181] 2 [3:25:1] 10710bh2 [1,-1,1,-2858,59501] 2 [1:237:1]
10710bi (2 curves)	0	2- 3- 5- 7+ 17+	2- 3- 5- 7+  4  4 17+  6
Curve Equation t 10710bi1 [1,-1,1,4232398,-44140145871] 2 10710bi2 [1,-1,1,-164517602,-785155145871] 2
10710bj (2 curves)	1	2- 3- 5- 7+ 17-	2- 3- 5- 7+ -2  4 17- -6
Curve Equation t Generators 10710bj1 [1,-1,1,-15152,1880979] 2 [-103:1581:1] 10710bj2 [1,-1,1,-339152,76012179] 2 [297:1041:1]
10710bk (4 curves)	1	2- 3- 5- 7- 17+	2- 3- 5- 7-  0 -4 17+  2
Curve Equation t Generators 10710bk1 [1,-1,1,4828,14519] 2 [27:391:1] 10710bk2 [1,-1,1,-19472,131159] 2 [189:1687:1] 10710bk3 [1,-1,1,-70907,7665131] 6 [-189:3874:1] 10710bk4 [1,-1,1,-1150907,475521131] 6 [-839:29574:1]
10710bl (2 curves)	1	2- 3- 5- 7- 17+	2- 3- 5- 7- -2  0 17+ -6
Curve Equation t Generators 10710bl1 [1,-1,1,-1307,81739] 2 [-23:326:1] 10710bl2 [1,-1,1,-37307,2774539] 2 [77:556:1]
10710bm (2 curves)	1	2- 3- 5- 7- 17+	2- 3- 5- 7- -2 -2 17+ -4
Curve Equation t Generators 10710bm1 [1,-1,1,733,-9309] 2 [29:174:1] 10710bm2 [1,-1,1,-4667,-89229] 2 [-51:144:1]
10710bn (4 curves)	0	2- 3- 5- 7- 17-	2- 3- 5- 7-  6  2 17-  8
Curve Equation t 10710bn1 [1,-1,1,283,-26791] 2 10710bn2 [1,-1,1,-11867,-478771] 2 10710bn3 [1,-1,1,-2552,725051] 6 10710bn4 [1,-1,1,-137552,19517051] 6

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