Cremona's table of elliptic curves

75690 = 2 · 3² · 5 · 29²

Class	r	Atkin-Lehner	Eigenvalues
75690a (4 curves)	1	2+ 3+ 5+ 29+	2+ 3+ 5+  2  6 -4 -6  4
Curve Equation t Generators 75690a1 [1,-1,0,-6465,229501] 2 [122:1055:1] 75690a2 [1,-1,0,-107385,13571125] 2 [-7:3788:1] 75690a3 [1,-1,0,43995,-978175] 2 [939100:20956813:15625] 75690a4 [1,-1,0,-183075,-7835689] 2 [-27167:865096:343]
75690b (2 curves)	1	2+ 3+ 5+ 29+	2+ 3+ 5+ -2  2  0  2 -4
Curve Equation t Generators 75690b1 [1,-1,0,3803265,2869923341] 2 [188331056363975:-15947251870147697:174958262857] 75690b2 [1,-1,0,-22032255,27263821325] 2 [-2535512413:-401079296218:1685159]
75690c (2 curves)	0	2+ 3+ 5- 29+	2+ 3+ 5-  0  4 -2  6  8
Curve Equation t 75690c1 [1,-1,0,11196,5230928] 2 75690c2 [1,-1,0,-392484,91376240] 2
75690d (4 curves)	0	2+ 3- 5+ 29+	2+ 3- 5+  0  0 -2  6  0
Curve Equation t 75690d1 [1,-1,0,-851670,75528436] 2 75690d2 [1,-1,0,-10539990,13156698100] 4 75690d3 [1,-1,0,-7512390,20869206340] 2 75690d4 [1,-1,0,-168580710,842522788516] 2
75690e (4 curves)	0	2+ 3- 5+ 29+	2+ 3- 5+  0  0 -6 -2  4
Curve Equation t 75690e1 [1,-1,0,-662445,-195669675] 2 75690e2 [1,-1,0,-2024865,869470281] 4 75690e3 [1,-1,0,4560165,5345973675] 2 75690e4 [1,-1,0,-30408615,64545575031] 2
75690f (1 curve)	0	2+ 3- 5+ 29+	2+ 3- 5+  1  2  0 -1  8
Curve Equation t 75690f1 [1,-1,0,-21255,-1108675] 1
75690g (1 curve)	0	2+ 3- 5+ 29+	2+ 3- 5+ -3 -6  4  3  0
Curve Equation t 75690g1 [1,-1,0,-927360,-343500800] 1
75690h (4 curves)	2	2+ 3- 5+ 29+	2+ 3- 5+ -4  0 -4 -6 -2
Curve Equation t Generators 75690h1 [1,-1,0,-435375,-40088039] 2 [-268:7703:1]&[-914:23299:8] 75690h2 [1,-1,0,1608255,-310255925] 2 [1095:-53110:1]&[160558:22710115:8] 75690h3 [1,-1,0,-19168650,32306146996] 2 [-5053:13880:1]&[345820:-2806922:125] 75690h4 [1,-1,0,-18260370,35504927500] 2 [-5029:13904:1]&[16590:639275:8]
75690i (1 curve)	1	2+ 3- 5+ 29-	2+ 3- 5+  1  0  4  1  6
Curve Equation t Generators 75690i1 [1,-1,0,-10010160,-11941727450] 1 [-8108745:48469685:4913]
75690j (1 curve)	1	2+ 3- 5+ 29-	2+ 3- 5+  1  4  4  5 -6
Curve Equation t Generators 75690j1 [1,-1,0,-1361038815,-14503447037619] 1 [-486671535912557055725546682361612:39878884866699051920855051229616731:19705386653187825018076168256]
75690k (2 curves)	1	2+ 3- 5+ 29-	2+ 3- 5+  4 -2  2 -6  2
Curve Equation t Generators 75690k1 [1,-1,0,-375,-2035] 2 [-14:25:1] 75690k2 [1,-1,0,-5595,-159679] 2 [-43:25:1]
75690l (1 curve)	1	2+ 3- 5+ 29-	2+ 3- 5+ -4 -1 -1  0  4
Curve Equation t Generators 75690l1 [1,-1,0,18765,518805] 1 [363:7239:1]
75690m (1 curve)	1	2+ 3- 5+ 29-	2+ 3- 5+ -4 -5 -1 -4 -4
Curve Equation t Generators 75690m1 [1,-1,0,-157075830,757767064180] 1 [7073:20453:1]
75690n (1 curve)	1	2+ 3- 5- 29+	2+ 3- 5-  0  3 -3 -2  4
Curve Equation t Generators 75690n1 [1,-1,0,11196,34128] 1 [-3:24:1]
75690o (1 curve)	1	2+ 3- 5- 29+	2+ 3- 5-  1 -2  0  7 -4
Curve Equation t Generators 75690o1 [1,-1,0,-549,-1107] 1 [-3:24:1]
75690p (4 curves)	1	2+ 3- 5- 29+	2+ 3- 5-  2 -6 -4 -6  4
Curve Equation t Generators 75690p1 [1,-1,0,-21409074,-36905031212] 2 [-1122361264297:14979174106667:444194947] 75690p2 [1,-1,0,-54107154,102826943860] 2 [285047:-83057134:343] 75690p3 [1,-1,0,-248592609,1496984858365] 2 [-10621:1719689:1] 75690p4 [1,-1,0,-3968907489,96240755781373] 2 [36359:-14395:1]
75690q (2 curves)	1	2+ 3- 5- 29+	2+ 3- 5- -2  2 -6  2  2
Curve Equation t Generators 75690q1 [1,-1,0,-531249,146011805] 2 [341:1932:1] 75690q2 [1,-1,0,74271,459307853] 2 [-413:19129:1]
75690r (1 curve)	1	2+ 3- 5- 29+	2+ 3- 5- -3 -2  4  3 -4
Curve Equation t Generators 75690r1 [1,-1,0,-653660259,6431887352213] 1 [-454499153:107031937279:29791]
75690s (1 curve)	1	2+ 3- 5- 29+	2+ 3- 5-  4  5 -3 -4 -4
Curve Equation t Generators 75690s1 [1,-1,0,-114,-730] 1 [31:142:1]
75690t (8 curves)	1	2+ 3- 5- 29+	2+ 3- 5- -4  0  2  6  4
Curve Equation t Generators 75690t1 [1,-1,0,11196,-1402880] 2 [410732:-14463688:343] 75690t2 [1,-1,0,-140184,-18266612] 4 [4802:329294:1] 75690t3 [1,-1,0,-102339,41263573] 2 [134:5405:1] 75690t4 [1,-1,0,-518634,123954898] 2 [10582793:-731879500:2197] 75690t5 [1,-1,0,-2183814,-1241583530] 2 [2081:55727:1] 75690t6 [1,-1,0,-2524419,1541499925] 4 [254:30149:1] 75690t7 [1,-1,0,-40369419,98735028925] 2 [3689:302:1] 75690t8 [1,-1,0,-3432699,334032493] 2 [-993:53059:1]
75690u (2 curves)	0	2+ 3- 5- 29-	2+ 3- 5- -1  0  2  3  2
Curve Equation t 75690u1 [1,-1,0,-102339,-12560427] 1 75690u2 [1,-1,0,-405099,86805405] 3
75690v (2 curves)	0	2+ 3- 5- 29-	2+ 3- 5-  2 -3 -4 -6 -7
Curve Equation t 75690v1 [1,-1,0,86886,8443548] 1 75690v2 [1,-1,0,-2108124,1189797930] 3
75690w (4 curves)	2	2+ 3- 5- 29-	2+ 3- 5- -2  0 -4  2 -6
Curve Equation t Generators 75690w1 [1,-1,0,-17514,893920] 2 [-145:680:1]&[26:662:1] 75690w2 [1,-1,0,-25344,21658] 2 [-1146:7253:8]&[-103:1289:1] 75690w3 [1,-1,0,-676539,-213986075] 2 [-471:337:1]&[5654:417509:1] 75690w4 [1,-1,0,-10824219,-13704311867] 2 [14087:1614419:1]&[-81430265:40699639:42875]
75690x (4 curves)	0	2+ 3- 5- 29-	2+ 3- 5- -2  0  6  2  4
Curve Equation t 75690x1 [1,-1,0,-128321199,559516614493] 2 75690x2 [1,-1,0,-123931179,599573790985] 2 75690x3 [1,-1,0,-1275213924,-17309740421552] 2 75690x4 [1,-1,0,-151368804,-46751560568240] 2
75690y (2 curves)	0	2- 3+ 5+ 29+	2- 3+ 5+  0 -4 -2 -6  8
Curve Equation t 75690y1 [1,-1,1,100762,-141335819] 2 75690y2 [1,-1,1,-3532358,-2463626123] 2
75690z (4 curves)	1	2- 3+ 5- 29+	2- 3+ 5-  2 -6 -4  6  4
Curve Equation t Generators 75690z1 [1,-1,1,4888,34599] 2 [377:7251:1] 75690z2 [1,-1,1,-20342,296991] 2 [1278:7767:8] 75690z3 [1,-1,1,-58187,-6138341] 2 [287110264:-11614544017:175616] 75690z4 [1,-1,1,-966467,-365453909] 2 [52318:4153607:8]
75690ba (2 curves)	1	2- 3+ 5- 29+	2- 3+ 5- -2 -2  0 -2 -4
Curve Equation t Generators 75690ba1 [1,-1,1,34229383,-77522159591] 2 [5387:510316:1] 75690ba2 [1,-1,1,-198290297,-735924885479] 2 [-8939:572144:1]
75690bb (1 curve)	1	2- 3- 5+ 29+	2- 3- 5+  1  0  4 -1 -6
Curve Equation t Generators 75690bb1 [1,-1,1,-11903,-486763] 1 [-107556:226039:1728]
75690bc (1 curve)	1	2- 3- 5+ 29+	2- 3- 5+  1 -4  4 -5  6
Curve Equation t Generators 75690bc1 [1,-1,1,-1618358,-594281019] 1 [-855:13227:1]
75690bd (2 curves)	1	2- 3- 5+ 29+	2- 3- 5+  2 -2 -4  6 -4
Curve Equation t Generators 75690bd1 [1,-1,1,-38003,1709871] 2 [-1506:12523:8] 75690bd2 [1,-1,1,-265073,-51242853] 2 [234452:13923237:64]
75690be (4 curves)	1	2- 3- 5+ 29+	2- 3- 5+ -2  2  4 -2  0
Curve Equation t Generators 75690be1 [1,-1,1,-33909278,16620312237] 2 [-6039:36659:1] 75690be2 [1,-1,1,-328191998,-2274311806419] 2 [-1389105:-1671243:125] 75690be3 [1,-1,1,-16171774178,791565457471197] 2 [-3218306694174:-473603831252031:23393656] 75690be4 [1,-1,1,-16172001248,791542117218381] 2 [-46722984415920753090720570:-6875704878664725875858952237:339625715784227873000]
75690bf (4 curves)	1	2- 3- 5+ 29+	2- 3- 5+  4  0 -2  2  0
Curve Equation t Generators 75690bf1 [1,-1,1,-1892408,-1000025413] 2 [7845:679393:1] 75690bf2 [1,-1,1,-2497928,-305372869] 4 [53904729:4652347219:6859] 75690bf3 [1,-1,1,9763852,-2424208453] 2 [23647219186899:2206658328300845:3131359847] 75690bf4 [1,-1,1,-24448028,46263959291] 2 [24192720320460309:-1895066377969403237:2905230627109]
75690bg (1 curve)	1	2- 3- 5+ 29+	2- 3- 5+ -4  1 -1  0 -4
Curve Equation t Generators 75690bg1 [1,-1,1,15781207,12763603977] 1 [2107700:384275097:64]
75690bh (2 curves)	1	2- 3- 5+ 29+	2- 3- 5+ -4 -4 -4 -2 -2
Curve Equation t Generators 75690bh1 [1,-1,1,-13321598,-18349490419] 2 [-2327:7891:1] 75690bh2 [1,-1,1,1210882,-56261824243] 2 [3937:95587:1]
75690bi (1 curve)	1	2- 3- 5+ 29+	2- 3- 5+ -4  5 -1  4  4
Curve Equation t Generators 75690bi1 [1,-1,1,-186773,31115117] 1 [255:16:1]
75690bj (1 curve)	0	2- 3- 5+ 29-	2- 3- 5+  1 -2  0  1 -8
Curve Equation t 75690bj1 [1,-1,1,-17875613,-27164603483] 1
75690bk (1 curve)	0	2- 3- 5+ 29-	2- 3- 5+ -3  6  4 -3  0
Curve Equation t 75690bk1 [1,-1,1,-779909918,-8383100380243] 1
75690bl (2 curves)	0	2- 3- 5+ 29-	2- 3- 5+  4  2  2  6 -2
Curve Equation t 75690bl1 [1,-1,1,-315533,-51839963] 2 75690bl2 [1,-1,1,-4705553,-3927349619] 2
75690bm (2 curves)	0	2- 3- 5- 29+	2- 3- 5- -1  0  2 -3 -2
Curve Equation t 75690bm1 [1,-1,1,-86067257,-306938724519] 1 75690bm2 [1,-1,1,-340688417,2114712204009] 1
75690bn (2 curves)	0	2- 3- 5- 29+	2- 3- 5-  2  3 -4  6  7
Curve Equation t 75690bn1 [1,-1,1,103,321] 1 75690bn2 [1,-1,1,-2507,49389] 1
75690bo (2 curves)	0	2- 3- 5- 29+	2- 3- 5- -2 -2  0 -2  8
Curve Equation t 75690bo1 [1,-1,1,-83417,1489529] 2 75690bo2 [1,-1,1,-991697,379697321] 2
75690bp (1 curve)	1	2- 3- 5- 29-	2- 3- 5-  0 -3 -3  2 -4
Curve Equation t Generators 75690bp1 [1,-1,1,9415678,898257921] 1 [9041:903759:1]
75690bq (1 curve)	1	2- 3- 5- 29-	2- 3- 5-  1  2  0 -7  4
Curve Equation t Generators 75690bq1 [1,-1,1,-461867,-30231309] 1 [-3362:77367:8]
75690br (4 curves)	1	2- 3- 5- 29-	2- 3- 5- -2  0 -4 -2  6
Curve Equation t Generators 75690br1 [1,-1,1,-14729432,21698709239] 2 [-30274:1234583:8] 75690br2 [1,-1,1,-21314462,379016111] 2 [-32002:1192247:8] 75690br3 [1,-1,1,-568969457,-5222889168991] 2 [-5163245879001:-7389027339212:374805361] 75690br4 [1,-1,1,-9103168337,-334298184302239] 2 [-3510485190073459804570:1754809618787330111243:63728704245878504]
75690bs (4 curves)	1	2- 3- 5- 29-	2- 3- 5- -2  0  6 -2 -4
Curve Equation t Generators 75690bs1 [1,-1,1,-152582,22978181] 2 [51:3889:1] 75690bs2 [1,-1,1,-147362,24619349] 2 [57:4021:1] 75690bs3 [1,-1,1,-1516307,-709369549] 2 [4059:242914:1] 75690bs4 [1,-1,1,-179987,-1916868301] 2 [3067:160866:1]
75690bt (1 curve)	1	2- 3- 5- 29-	2- 3- 5- -3  2  4 -3  4
Curve Equation t Generators 75690bt1 [1,-1,1,-777242,263908441] 1 [-239:20999:1]
75690bu (1 curve)	1	2- 3- 5- 29-	2- 3- 5-  4 -5 -3  4  4
Curve Equation t Generators 75690bu1 [1,-1,1,-96032,-18475811] 1 [6200111348:222772414069:4410944]

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