Cremona's table of elliptic curves

87150 = 2 · 3 · 5² · 7 · 83

Class	r	Atkin-Lehner	Eigenvalues
87150a (1 curve)	1	2+ 3+ 5+ 7+ 83+	2+ 3+ 5+ 7+  1 -1 -2 -8
Curve Equation t Generators 87150a1 [1,1,0,-945275,355048125] 1 [1075:23600:1]
87150b (1 curve)	1	2+ 3+ 5+ 7+ 83+	2+ 3+ 5+ 7+ -1  4  6 -5
Curve Equation t Generators 87150b1 [1,1,0,-213650,37960500] 1 [276:198:1]
87150c (2 curves)	1	2+ 3+ 5+ 7+ 83+	2+ 3+ 5+ 7+  3  4  0 -7
Curve Equation t Generators 87150c1 [1,1,0,-125236650,-1419441187500] 1 [3402121815252179348658753612167475:1792663319466071291369077978028424000:12209577344220896350657242479] 87150c2 [1,1,0,-14223367650,-652914586570500] 1 [182979752216474979384002876944951871234422063121265033259641178026668005422705339629028304194495:88293290562329800081793645668720620719916198710260563180278322857276266367123594276538457597577640:630739174724724231807041190990635486354338377078048252690608048774500307270865165102649091]
87150d (2 curves)	1	2+ 3+ 5+ 7+ 83+	2+ 3+ 5+ 7+  4 -4 -2  4
Curve Equation t Generators 87150d1 [1,1,0,-37375,-2795375] 2 [2320:110215:1] 87150d2 [1,1,0,-30625,-3828125] 2 [62625:-3039125:27]
87150e (1 curve)	1	2+ 3+ 5+ 7+ 83+	2+ 3+ 5+ 7+ -5  2 -8 -5
Curve Equation t Generators 87150e1 [1,1,0,6825,55125] 1 [14:385:1]
87150f (2 curves)	0	2+ 3+ 5+ 7+ 83-	2+ 3+ 5+ 7+  0  4 -2 -2
Curve Equation t 87150f1 [1,1,0,-29363875,60567578125] 2 87150f2 [1,1,0,-468403875,3901728538125] 2
87150g (4 curves)	0	2+ 3+ 5+ 7+ 83-	2+ 3+ 5+ 7+  0  4  6  2
Curve Equation t 87150g1 [1,1,0,-59500,5194000] 2 87150g2 [1,1,0,-934500,347319000] 2 87150g3 [1,1,0,-922000,-340068500] 2 87150g4 [1,1,0,-1350750,7647750] 2
87150h (1 curve)	0	2+ 3+ 5+ 7- 83+	2+ 3+ 5+ 7-  0 -1 -4 -2
Curve Equation t 87150h1 [1,1,0,2510,6580] 1
87150i (4 curves)	0	2+ 3+ 5+ 7- 83+	2+ 3+ 5+ 7-  0 -2  2  4
Curve Equation t 87150i1 [1,1,0,-1225,-66875] 2 87150i2 [1,1,0,-33225,-2338875] 4 87150i3 [1,1,0,-47225,-196875] 2 87150i4 [1,1,0,-531225,-149248875] 2
87150j (2 curves)	0	2+ 3+ 5+ 7- 83+	2+ 3+ 5+ 7-  0  4 -2 -6
Curve Equation t 87150j1 [1,1,0,-1027875,279802125] 2 87150j2 [1,1,0,-15027875,22413802125] 2
87150k (1 curve)	0	2+ 3+ 5+ 7- 83+	2+ 3+ 5+ 7-  0  5  4  2
Curve Equation t 87150k1 [1,1,0,-1575,52125] 1
87150l (2 curves)	0	2+ 3+ 5+ 7- 83+	2+ 3+ 5+ 7-  2  2  4 -2
Curve Equation t 87150l1 [1,1,0,-958750,355616500] 2 87150l2 [1,1,0,-1938750,-496003500] 2
87150m (2 curves)	0	2+ 3+ 5+ 7- 83+	2+ 3+ 5+ 7- -2 -2  0 -6
Curve Equation t 87150m1 [1,1,0,-17866250,6837316500] 2 87150m2 [1,1,0,-170991250,-855103308500] 2
87150n (1 curve)	0	2+ 3+ 5+ 7- 83+	2+ 3+ 5+ 7-  3 -2 -4 -5
Curve Equation t 87150n1 [1,1,0,-52497981375,-4636140595810875] 1
87150o (1 curve)	0	2+ 3+ 5+ 7- 83+	2+ 3+ 5+ 7-  3 -2  5  4
Curve Equation t 87150o1 [1,1,0,-1500,21750] 1
87150p (1 curve)	0	2+ 3+ 5+ 7- 83+	2+ 3+ 5+ 7-  3  3  6  0
Curve Equation t 87150p1 [1,1,0,-1750,476500] 1
87150q (1 curve)	0	2+ 3+ 5+ 7- 83+	2+ 3+ 5+ 7-  3  4 -2  3
Curve Equation t 87150q1 [1,1,0,-350,-3000] 1
87150r (1 curve)	0	2+ 3+ 5+ 7- 83+	2+ 3+ 5+ 7- -3 -2  2  7
Curve Equation t 87150r1 [1,1,0,-80150,-8870250] 1
87150s (1 curve)	0	2+ 3+ 5+ 7- 83+	2+ 3+ 5+ 7- -3 -2 -5  0
Curve Equation t 87150s1 [1,1,0,1805825,-12185778875] 1
87150t (1 curve)	0	2+ 3+ 5+ 7- 83+	2+ 3+ 5+ 7- -5  1 -6  0
Curve Equation t 87150t1 [1,1,0,53625,5563125] 1
87150u (2 curves)	1	2+ 3+ 5+ 7- 83-	2+ 3+ 5+ 7-  2  0  4 -8
Curve Equation t Generators 87150u1 [1,1,0,-2100,18000] 2 [-40:220:1] 87150u2 [1,1,0,-16100,-780000] 2 [-75:150:1]
87150v (2 curves)	1	2+ 3+ 5+ 7- 83-	2+ 3+ 5+ 7-  2 -4  4 -2
Curve Equation t Generators 87150v1 [1,1,0,-46525,-2919875] 2 [-810:7405:8] 87150v2 [1,1,0,113475,-18439875] 2 [186:2931:1]
87150w (2 curves)	1	2+ 3+ 5+ 7- 83-	2+ 3+ 5+ 7- -2 -2  0  8
Curve Equation t Generators 87150w1 [1,1,0,-3125,65625] 2 [25:50:1] 87150w2 [1,1,0,-1375,140875] 2 [1:373:1]
87150x (2 curves)	1	2+ 3+ 5+ 7- 83-	2+ 3+ 5+ 7- -2  4  0  2
Curve Equation t Generators 87150x1 [1,1,0,-4628400,3830670000] 2 [-1885:77505:1] 87150x2 [1,1,0,-4565900,3939232500] 2 [1150:-15100:1]
87150y (2 curves)	0	2+ 3+ 5- 7+ 83+	2+ 3+ 5- 7+  2  2 -6  4
Curve Equation t 87150y1 [1,1,0,4925,-1887875] 2 87150y2 [1,1,0,-202575,-34050375] 2
87150z (2 curves)	1	2+ 3+ 5- 7+ 83-	2+ 3+ 5- 7+  0  0  6 -4
Curve Equation t Generators 87150z1 [1,1,0,-12950,556500] 2 [-65:1095:1] 87150z2 [1,1,0,-2950,1406500] 2 [24:-1174:1]
87150ba (2 curves)	0	2+ 3- 5+ 7+ 83+	2+ 3- 5+ 7+ -2 -4  4 -4
Curve Equation t 87150ba1 [1,0,1,-2386751,-148213102] 2 87150ba2 [1,0,1,-24786751,47294986898] 2
87150bb (4 curves)	0	2+ 3- 5+ 7+ 83+	2+ 3- 5+ 7+  4  6 -6 -4
Curve Equation t 87150bb1 [1,0,1,-3537026,2467988948] 2 87150bb2 [1,0,1,-56025026,161401652948] 4 87150bb3 [1,0,1,-55458026,164828600948] 2 87150bb4 [1,0,1,-896400026,10329939152948] 2
87150bc (1 curve)	0	2+ 3- 5+ 7+ 83+	2+ 3- 5+ 7+ -5  0 -4  5
Curve Equation t 87150bc1 [1,0,1,5499,-70352] 1
87150bd (1 curve)	0	2+ 3- 5+ 7+ 83+	2+ 3- 5+ 7+ -5 -3  0  2
Curve Equation t 87150bd1 [1,0,1,-451501,118748648] 1
87150be (4 curves)	1	2+ 3- 5+ 7+ 83-	2+ 3- 5+ 7+  0  2 -6 -4
Curve Equation t Generators 87150be1 [1,0,1,-4876,91898] 2 [12:181:1] 87150be2 [1,0,1,-29376,-1868102] 4 [446:8367:1] 87150be3 [1,0,1,14374,-6943102] 2 [228:2749:1] 87150be4 [1,0,1,-465126,-122135102] 2 [796:3086:1]
87150bf (1 curve)	1	2+ 3- 5+ 7+ 83-	2+ 3- 5+ 7+ -3 -4 -2 -7
Curve Equation t Generators 87150bf1 [1,0,1,2474,-195910552] 1 [16213:2056277:1]
87150bg (4 curves)	1	2+ 3- 5+ 7+ 83-	2+ 3- 5+ 7+  4  2 -2  0
Curve Equation t Generators 87150bg1 [1,0,1,-164501,-25080352] 2 [-253:726:1] 87150bg2 [1,0,1,-2614501,-1627380352] 4 [4108:236612:1] 87150bg3 [1,0,1,-2597001,-1650235352] 2 [2426:78342:1] 87150bg4 [1,0,1,-41832001,-104141925352] 2 [-36086285766:18038326822:9663597]
87150bh (2 curves)	1	2+ 3- 5+ 7+ 83-	2+ 3- 5+ 7+  4 -4 -2  0
Curve Equation t Generators 87150bh1 [1,0,1,-23640501,44239863148] 2 [5237:250506:1] 87150bh2 [1,0,1,-23633751,44266390648] 2 [922:152051:1]
87150bi (1 curve)	1	2+ 3- 5+ 7- 83+	2+ 3- 5+ 7-  1  1  4  6
Curve Equation t Generators 87150bi1 [1,0,1,-5401,-183052] 1 [112:731:1]
87150bj (2 curves)	1	2+ 3- 5+ 7- 83+	2+ 3- 5+ 7- -2 -2  8  0
Curve Equation t Generators 87150bj1 [1,0,1,-94426,11160248] 2 [187:-319:1] 87150bj2 [1,0,1,-92676,11594248] 2 [152:-1089:1]
87150bk (1 curve)	1	2+ 3- 5+ 7- 83+	2+ 3- 5+ 7- -2  4 -5  0
Curve Equation t Generators 87150bk1 [1,0,1,-40272151,98364984698] 1 [3663:-1748:1]
87150bl (2 curves)	1	2+ 3- 5+ 7- 83+	2+ 3- 5+ 7- -2 -6  0  0
Curve Equation t Generators 87150bl1 [1,0,1,-722026,-236118052] 2 [-31052:28619:64] 87150bl2 [1,0,1,-610026,-311830052] 2 [9718:212763:8]
87150bm (4 curves)	2	2+ 3- 5+ 7- 83-	2+ 3- 5+ 7-  0 -6 -6 -8
Curve Equation t Generators 87150bm1 [1,0,1,-2803251,1806278398] 2 [947:576:1]&[-1033:60516:1] 87150bm2 [1,0,1,-2815751,1789353398] 4 [-1383:55816:1]&[-1299:57706:1] 87150bm3 [1,0,1,-14501,5190070898] 2 [-1134:61792:1]&[-252:72082:1] 87150bm4 [1,0,1,-5817001,-2694514102] 2 [2908:69137:1]&[-15082:324763:8]
87150bn (1 curve)	0	2+ 3- 5+ 7- 83-	2+ 3- 5+ 7-  1 -2  1  4
Curve Equation t 87150bn1 [1,0,1,-351,-6902] 1
87150bo (1 curve)	0	2+ 3- 5+ 7- 83-	2+ 3- 5+ 7-  1  4 -2  1
Curve Equation t 87150bo1 [1,0,1,-125226,-40399652] 1
87150bp (1 curve)	0	2+ 3- 5+ 7- 83-	2+ 3- 5+ 7- -5  4  4  7
Curve Equation t 87150bp1 [1,0,1,-42655126,-114556011352] 1
87150bq (1 curve)	2	2+ 3- 5+ 7- 83-	2+ 3- 5+ 7- -6  0 -3  4
Curve Equation t Generators 87150bq1 [1,0,1,7249,148898] 1 [87:1156:1]&[-9:292:1]
87150br (2 curves)	0	2+ 3- 5- 7+ 83-	2+ 3- 5- 7+ -4  4  2  0
Curve Equation t 87150br1 [1,0,1,-6945256,-7030084042] 2 87150br2 [1,0,1,-4320856,-12404855242] 2
87150bs (2 curves)	0	2+ 3- 5- 7- 83+	2+ 3- 5- 7-  0 -1  0  2
Curve Equation t 87150bs1 [1,0,1,-291701,60866048] 3 87150bs2 [1,0,1,718924,323077298] 1
87150bt (1 curve)	2	2+ 3- 5- 7- 83+	2+ 3- 5- 7- -2 -2 -3 -2
Curve Equation t Generators 87150bt1 [1,0,1,-2206,42308] 1 [-53:131:1]&[31:47:1]
87150bu (2 curves)	0	2+ 3- 5- 7- 83+	2+ 3- 5- 7-  4 -2  6  4
Curve Equation t 87150bu1 [1,0,1,-3606,-75992] 2 87150bu2 [1,0,1,-13206,500008] 2
87150bv (2 curves)	0	2- 3+ 5+ 7+ 83+	2- 3+ 5+ 7+ -3  1 -6 -4
Curve Equation t 87150bv1 [1,1,1,15562,48438281] 1 87150bv2 [1,1,1,-140063,-1307989219] 1
87150bw (2 curves)	1	2- 3+ 5+ 7+ 83-	2- 3+ 5+ 7+  0  1  0  2
Curve Equation t Generators 87150bw1 [1,1,1,-11668,482261] 1 [1:685:1] 87150bw2 [1,1,1,28757,2596121] 1 [-41:1182:1]
87150bx (4 curves)	1	2- 3+ 5+ 7+ 83-	2- 3+ 5+ 7+  0 -2 -6  2
Curve Equation t Generators 87150bx1 [1,1,1,-793713,266684031] 2 [-231:21038:1] 87150bx2 [1,1,1,63787,813769031] 2 [19:28538:1] 87150bx3 [1,1,1,-7574088,-7916401719] 2 [-1659:10125:1] 87150bx4 [1,1,1,-574088,-21972401719] 2 [4591:266375:1]
87150by (1 curve)	1	2- 3+ 5+ 7+ 83-	2- 3+ 5+ 7+ -1  0  4  7
Curve Equation t Generators 87150by1 [1,1,1,-1396213,634421531] 1 [695:252:1]
87150bz (2 curves)	1	2- 3+ 5+ 7+ 83-	2- 3+ 5+ 7+  2 -6  4 -2
Curve Equation t Generators 87150bz1 [1,1,1,-14588,-539719] 2 [545:12127:1] 87150bz2 [1,1,1,-75838,7545281] 2 [-1810:29951:8]
87150ca (2 curves)	1	2- 3+ 5+ 7+ 83-	2- 3+ 5+ 7+  3  4  0 -1
Curve Equation t Generators 87150ca1 [1,1,1,4312,-681469] 1 [1831440:38131657:4096] 87150ca2 [1,1,1,-473813,-125781469] 1 [4065:253192:1]
87150cb (2 curves)	1	2- 3+ 5+ 7- 83+	2- 3+ 5+ 7-  4  4 -6  0
Curve Equation t Generators 87150cb1 [1,1,1,-1313,16031] 2 [45:-248:1] 87150cb2 [1,1,1,1687,82031] 2 [25:362:1]
87150cc (2 curves)	1	2- 3+ 5+ 7- 83+	2- 3+ 5+ 7- -6  2 -4  4
Curve Equation t Generators 87150cc1 [1,1,1,-28713,1859031] 2 [-45:1772:1] 87150cc2 [1,1,1,-21713,2797031] 2 [-35:1892:1]
87150cd (2 curves)	0	2- 3+ 5+ 7- 83-	2- 3+ 5+ 7- -4  4  2 -6
Curve Equation t 87150cd1 [1,1,1,-11088,440781] 2 87150cd2 [1,1,1,-19838,-364219] 2
87150ce (1 curve)	0	2- 3+ 5- 7+ 83-	2- 3+ 5- 7+ -2  2  3 -2
Curve Equation t 87150ce1 [1,1,1,-55138,5288531] 1
87150cf (2 curves)	0	2- 3+ 5- 7+ 83-	2- 3+ 5- 7+  4  2 -6  4
Curve Equation t 87150cf1 [1,1,1,-90138,-9498969] 2 87150cf2 [1,1,1,-330138,62501031] 2
87150cg (2 curves)	0	2- 3+ 5- 7- 83+	2- 3+ 5- 7- -4 -4 -2  0
Curve Equation t 87150cg1 [1,1,1,-173631388,-878760505219] 2 87150cg2 [1,1,1,-108021388,-1550606905219] 2
87150ch (4 curves)	1	2- 3- 5+ 7+ 83+	2- 3- 5+ 7+  0 -2 -6  0
Curve Equation t Generators 87150ch1 [1,0,0,-185588,-7844208] 2 [1032:29484:1] 87150ch2 [1,0,0,-1753588,887483792] 4 [362:17144:1] 87150ch3 [1,0,0,-591588,2045997792] 2 [1026:49680:1] 87150ch4 [1,0,0,-28003588,57036233792] 2 [4237706:14394080:1331]
87150ci (1 curve)	1	2- 3- 5+ 7+ 83+	2- 3- 5+ 7+  1 -6  6 -1
Curve Equation t Generators 87150ci1 [1,0,0,-263,4017] 1 [-8:79:1]
87150cj (1 curve)	1	2- 3- 5+ 7+ 83+	2- 3- 5+ 7+ -1 -1 -4 -6
Curve Equation t Generators 87150cj1 [1,0,0,-140088,20169792] 1 [192:504:1]
87150ck (2 curves)	1	2- 3- 5+ 7+ 83+	2- 3- 5+ 7+ -2  0  0  2
Curve Equation t Generators 87150ck1 [1,0,0,-244713,28035417] 2 [1562:58019:1] 87150ck2 [1,0,0,755287,199035417] 2 [316:21505:1]
87150cl (1 curve)	1	2- 3- 5+ 7+ 83+	2- 3- 5+ 7+  3  1  0 -6
Curve Equation t Generators 87150cl1 [1,0,0,162,42] 1 [10868:136691:64]
87150cm (1 curve)	1	2- 3- 5+ 7+ 83+	2- 3- 5+ 7+  3  5  0  2
Curve Equation t Generators 87150cm1 [1,0,0,72922412,40309691792] 1 [-388:109544:1]
87150cn (4 curves)	1	2- 3- 5+ 7+ 83+	2- 3- 5+ 7+ -4 -6  2 -4
Curve Equation t Generators 87150cn1 [1,0,0,-12313,-317383] 4 [-94:155:1] 87150cn2 [1,0,0,-174313,-28019383] 4 [-244:155:1] 87150cn3 [1,0,0,-151813,-35511883] 2 [506:3905:1] 87150cn4 [1,0,0,-2788813,-1792806883] 2 [-1283414:641359:1331]
87150co (1 curve)	1	2- 3- 5+ 7+ 83+	2- 3- 5+ 7+ -6  4  3 -8
Curve Equation t Generators 87150co1 [1,0,0,-89313,15723117] 1 [1446:18027:8]
87150cp (2 curves)	2	2- 3- 5+ 7+ 83-	2- 3- 5+ 7+ -6 -4 -8 -4
Curve Equation t Generators 87150cp1 [1,0,0,-14238,529092] 2 [-132:402:1]&[12:-606:1] 87150cp2 [1,0,0,-70238,-6694908] 2 [376:4294:1]&[-164:730:1]
87150cq (4 curves)	0	2- 3- 5+ 7- 83+	2- 3- 5+ 7-  4  2  6  0
Curve Equation t 87150cq1 [1,0,0,-6488,-201408] 2 87150cq2 [1,0,0,-8488,-67408] 4 87150cq3 [1,0,0,33012,-523908] 2 87150cq4 [1,0,0,-81988,8973092] 2
87150cr (1 curve)	1	2- 3- 5+ 7- 83-	2- 3- 5+ 7-  1 -2 -2  1
Curve Equation t Generators 87150cr1 [1,0,0,312362,725977892] 1 [1472:-66886:1]
87150cs (2 curves)	1	2- 3- 5+ 7- 83-	2- 3- 5+ 7- -2  2  0  4
Curve Equation t Generators 87150cs1 [1,0,0,-759413,240278817] 2 [682:-6641:1] 87150cs2 [1,0,0,612587,1012714817] 2 [-298:-28201:1]
87150ct (2 curves)	1	2- 3- 5+ 7- 83-	2- 3- 5+ 7- -2 -2 -8  4
Curve Equation t Generators 87150ct1 [1,0,0,-2432799188813,1445182582619329617] 2 [6589912:16476783169:1] 87150ct2 [1,0,0,-455472445813,3726454105919574617] 2 [449456188132:1149109988702809:68921]
87150cu (1 curve)	1	2- 3- 5+ 7- 83-	2- 3- 5+ 7- -2  4  7 -8
Curve Equation t Generators 87150cu1 [1,0,0,-11438,471492] 1 [-8:754:1]
87150cv (4 curves)	1	2- 3- 5+ 7- 83-	2- 3- 5+ 7-  4 -2 -2  4
Curve Equation t Generators 87150cv1 [1,0,0,-340963,-76659583] 2 [4286:275705:1] 87150cv2 [1,0,0,-348963,-72875583] 4 [-408:1479:1] 87150cv3 [1,0,0,398037,-342542583] 2 [588:9447:1] 87150cv4 [1,0,0,-1223963,438999417] 2 [1396:37399:1]
87150cw (1 curve)	1	2- 3- 5- 7+ 83-	2- 3- 5- 7+  0  1  4 -2
Curve Equation t Generators 87150cw1 [1,0,0,62737,697017] 1 [502:-12851:1]
87150cx (1 curve)	1	2- 3- 5- 7+ 83-	2- 3- 5- 7+  0 -5 -4  2
Curve Equation t Generators 87150cx1 [1,0,0,-63,417] 1 [8:17:1]
87150cy (2 curves)	1	2- 3- 5- 7- 83+	2- 3- 5- 7-  0  0 -6 -4
Curve Equation t Generators 87150cy1 [1,0,0,-518,4452] 2 [-8:94:1] 87150cy2 [1,0,0,-118,11252] 2 [2:-106:1]
87150cz (2 curves)	0	2- 3- 5- 7- 83-	2- 3- 5- 7-  2 -2  6  4
Curve Equation t 87150cz1 [1,0,0,197,-15103] 2 87150cz2 [1,0,0,-8103,-272403] 2

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