Cremona's table of elliptic curves

90160 = 2⁴ · 5 · 7² · 23

Class	r	Atkin-Lehner	Eigenvalues
90160a (1 curve)	1	2+ 5+ 7+ 23+	2+ -2 5+ 7+  0 -2 -1 -2
Curve Equation t Generators 90160a1 [0,1,0,8804,383004] 1 [-18:468:1]
90160b (1 curve)	2	2+ 5+ 7+ 23-	2+ -2 5+ 7+ -2 -4 -5 -2
Curve Equation t Generators 90160b1 [0,1,0,-16,804] 1 [2:28:1]&[-8:22:1]
90160c (1 curve)	0	2+ 5+ 7- 23+	2+  0 5+ 7-  6  2  3 -6
Curve Equation t 90160c1 [0,0,0,71932,-975492] 1
90160d (1 curve)	0	2+ 5+ 7- 23+	2+ -1 5+ 7-  0  1  3  4
Curve Equation t 90160d1 [0,-1,0,-16,-160] 1
90160e (1 curve)	0	2+ 5+ 7- 23+	2+ -1 5+ 7- -1 -5  7 -4
Curve Equation t 90160e1 [0,-1,0,-101505721,-393592275355] 1
90160f (1 curve)	0	2+ 5+ 7- 23+	2+ -1 5+ 7-  2  1  2 -2
Curve Equation t 90160f1 [0,-1,0,-8836,633011] 1
90160g (1 curve)	0	2+ 5+ 7- 23+	2+ -1 5+ 7-  2 -3  6  6
Curve Equation t 90160g1 [0,-1,0,7824,-78665] 1
90160h (1 curve)	0	2+ 5+ 7- 23+	2+  2 5+ 7-  2  0  3  6
Curve Equation t 90160h1 [0,-1,0,-8416,-294384] 1
90160i (2 curves)	0	2+ 5+ 7- 23+	2+  2 5+ 7-  2  4 -2  8
Curve Equation t 90160i1 [0,-1,0,-5896,-46080] 2 90160i2 [0,-1,0,-54896,4932320] 2
90160j (2 curves)	0	2+ 5+ 7- 23+	2+  2 5+ 7-  4  4  6 -4
Curve Equation t 90160j1 [0,-1,0,-156,1856] 2 90160j2 [0,-1,0,-3376,76560] 2
90160k (1 curve)	0	2+ 5+ 7- 23+	2+  2 5+ 7- -4 -2  7  2
Curve Equation t 90160k1 [0,-1,0,1029229,128440250] 1
90160l (1 curve)	0	2+ 5+ 7- 23+	2+  2 5+ 7-  6 -2 -3 -8
Curve Equation t 90160l1 [0,-1,0,-466601,-122525899] 1
90160m (1 curve)	0	2+ 5+ 7- 23+	2+ -2 5+ 7-  0  6  3 -6
Curve Equation t 90160m1 [0,1,0,-51,-176] 1
90160n (2 curves)	0	2+ 5+ 7- 23+	2+ -2 5+ 7-  2 -6  2  4
Curve Equation t 90160n1 [0,1,0,-59796,4784380] 2 90160n2 [0,1,0,-917296,337837380] 2
90160o (1 curve)	2	2+ 5+ 7- 23+	2+ -3 5+ 7-  0 -1  0  0
Curve Equation t Generators 90160o1 [0,0,0,-9163,339913] 1 [56:49:1]&[64:125:1]
90160p (2 curves)	1	2+ 5+ 7- 23-	2+  0 5+ 7- -2  4 -6  0
Curve Equation t Generators 90160p1 [0,0,0,-2303,39102] 2 [14:98:1] 90160p2 [0,0,0,2597,183162] 2 [154:2058:1]
90160q (1 curve)	1	2+ 5+ 7- 23-	2+  0 5+ 7-  4  4  6  0
Curve Equation t Generators 90160q1 [0,0,0,-451388,-449015812] 1 [59775206126078538926870979839988511042567448542752080123:8566801325632958456607301458863799832287329390423316479809:2906963149044285553392425472758845471855251363459491]
90160r (1 curve)	1	2+ 5+ 7- 23-	2+ -1 5+ 7- -2  5  4 -2
Curve Equation t Generators 90160r1 [0,-1,0,-16,-7909] 1 [597:1225:27]
90160s (2 curves)	1	2+ 5+ 7- 23-	2+  2 5+ 7-  0 -4  2  0
Curve Equation t Generators 90160s1 [0,-1,0,-28156,1827456] 2 [33:966:1] 90160s2 [0,-1,0,-24656,2295056] 2 [16:1380:1]
90160t (2 curves)	1	2+ 5+ 7- 23-	2+ -2 5+ 7-  0 -2  2 -4
Curve Equation t Generators 90160t1 [0,1,0,-1976,3940] 2 [72:-490:1] 90160t2 [0,1,0,7824,39220] 2 [44:-686:1]
90160u (1 curve)	0	2+ 5- 7+ 23+	2+  1 5- 7+  0 -1 -3 -4
Curve Equation t 90160u1 [0,1,0,-800,56468] 1
90160v (1 curve)	0	2+ 5- 7+ 23+	2+  2 5- 7+  0 -6 -3  6
Curve Equation t 90160v1 [0,-1,0,-2515,55350] 1
90160w (1 curve)	2	2+ 5- 7+ 23+	2+ -2 5- 7+  2  0 -3 -6
Curve Equation t Generators 90160w1 [0,1,0,-412400,101798500] 1 [310:-1960:1]&[370:-20:1]
90160x (1 curve)	0	2+ 5- 7+ 23+	2+ -2 5- 7+ -4  2 -7 -2
Curve Equation t 90160x1 [0,1,0,21005,-368460] 1
90160y (1 curve)	0	2+ 5- 7+ 23+	2+ -2 5- 7+  6  2  3  8
Curve Equation t 90160y1 [0,1,0,-22863465,42072110275] 1
90160z (1 curve)	1	2+ 5- 7+ 23-	2+  0 5- 7+  4 -4 -6  0
Curve Equation t Generators 90160z1 [0,0,0,-9212,1309084] 1 [273:4375:1]
90160ba (4 curves)	1	2+ 5- 7- 23+	2+  0 5- 7-  0 -2  2  4
Curve Equation t Generators 90160ba1 [0,0,0,1078,31899] 2 [68745:3469096:27] 90160ba2 [0,0,0,-10927,384846] 4 [10185:1027824:1] 90160ba3 [0,0,0,-45227,-3312694] 2 [-261780:430597:1728] 90160ba4 [0,0,0,-168707,26670994] 4 [-462:2450:1]
90160bb (1 curve)	1	2+ 5- 7- 23+	2+  1 5- 7-  0 -1  4 -4
Curve Equation t Generators 90160bb1 [0,1,0,180,1343] 1 [37:245:1]
90160bc (1 curve)	1	2+ 5- 7- 23+	2+  1 5- 7-  3 -3 -3  0
Curve Equation t Generators 90160bc1 [0,1,0,-9865,-421037] 1 [3162:5635:27]
90160bd (1 curve)	1	2+ 5- 7- 23+	2+ -1 5- 7-  2  5  6 -6
Curve Equation t Generators 90160bd1 [0,-1,0,-45880,3806447] 1 [19:1715:1]
90160be (1 curve)	1	2+ 5- 7- 23+	2+  2 5- 7-  0  2  1  2
Curve Equation t Generators 90160be1 [0,-1,0,180,-1168] 1 [44:300:1]
90160bf (2 curves)	1	2+ 5- 7- 23+	2+  2 5- 7-  2  6 -2 -4
Curve Equation t Generators 90160bf1 [0,-1,0,-1220,-13600] 2 [-23:42:1] 90160bf2 [0,-1,0,-18720,-979600] 2 [2266:32361:8]
90160bg (2 curves)	1	2+ 5- 7- 23+	2+ -2 5- 7-  4 -4 -6  4
Curve Equation t Generators 90160bg1 [0,1,0,-7660,-621300] 2 [370:6880:1] 90160bg2 [0,1,0,-165440,-25929212] 2 [-234:160:1]
90160bh (2 curves)	1	2+ 5- 7- 23+	2+ -2 5- 7-  6 -4 -2 -4
Curve Equation t Generators 90160bh1 [0,1,0,-210520,-22935900] 2 [-320:3430:1] 90160bh2 [0,1,0,-1435520,644934100] 2 [940:11270:1]
90160bi (1 curve)	0	2+ 5- 7- 23-	2+ -1 5- 7- -2  1 -4  2
Curve Equation t 90160bi1 [0,-1,0,-160540,-24708025] 1
90160bj (1 curve)	0	2+ 5- 7- 23-	2+  2 5- 7- -2  4  5  2
Curve Equation t 90160bj1 [0,-1,0,-800,-277360] 1
90160bk (2 curves)	0	2+ 5- 7- 23-	2+ -2 5- 7-  0  4 -2  0
Curve Equation t 90160bk1 [0,1,0,-1379660,-624058100] 2 90160bk2 [0,1,0,-1208160,-784787900] 2
90160bl (2 curves)	0	2- 5+ 7+ 23+	2- -1 5+ 7+  0 -7 -3  4
Curve Equation t 90160bl1 [0,-1,0,-23678776,-44341550224] 1 90160bl2 [0,-1,0,-15474216,-75481515920] 1
90160bm (1 curve)	1	2- 5+ 7+ 23-	2-  0 5+ 7+  2  6 -7  6
Curve Equation t Generators 90160bm1 [0,0,0,-1568,62867] 1 [49:322:1]
90160bn (2 curves)	1	2- 5+ 7+ 23-	2-  2 5+ 7+ -6 -4  3 -2
Curve Equation t Generators 90160bn1 [0,-1,0,-11776,-798720] 1 [354432:2667456:2197] 90160bn2 [0,-1,0,97984,13865216] 1 [448:12144:1]
90160bo (1 curve)	1	2- 5+ 7+ 23-	2- -2 5+ 7+  2  0 -2  6
Curve Equation t Generators 90160bo1 [0,1,0,-261,-2381] 1 [30:133:1]
90160bp (1 curve)	1	2- 5+ 7+ 23-	2- -2 5+ 7+  2  0  3  6
Curve Equation t Generators 90160bp1 [0,1,0,-1177976,1659869140] 1 [-100982:15267328:343]
90160bq (1 curve)	1	2- 5+ 7+ 23-	2- -2 5+ 7+  2 -6 -3  0
Curve Equation t Generators 90160bq1 [0,1,0,-45341,3851959] 1 [67:1058:1]
90160br (2 curves)	1	2- 5+ 7- 23+	2-  0 5+ 7-  2 -2  2  4
Curve Equation t Generators 90160br1 [0,0,0,-1043,-6958] 2 [-14:70:1] 90160br2 [0,0,0,3437,-50862] 2 [114:1350:1]
90160bs (2 curves)	1	2- 5+ 7- 23+	2-  0 5+ 7- -4  4  2 -8
Curve Equation t Generators 90160bs1 [0,0,0,-4685723,3896635722] 2 [1199:1462:1] 90160bs2 [0,0,0,-74932123,249660690762] 2 [397388413:-3179646:79507]
90160bt (1 curve)	1	2- 5+ 7- 23+	2-  1 5+ 7-  2  1  8  2
Curve Equation t Generators 90160bt1 [0,1,0,5009254,2773332155] 1 [237887079716011479:17506498689114588125:59744371737357]
90160bu (2 curves)	1	2- 5+ 7- 23+	2-  2 5+ 7-  0  4  2  8
Curve Equation t Generators 90160bu1 [0,-1,0,29384,-11088720] 2 [300330:14749686:125] 90160bu2 [0,-1,0,-601736,-169626064] 2 [224115570:10477786094:91125]
90160bv (1 curve)	1	2- 5+ 7- 23+	2- -2 5+ 7-  2 -2 -7  8
Curve Equation t Generators 90160bv1 [0,1,0,19,55] 1 [-1:6:1]
90160bw (2 curves)	1	2- 5+ 7- 23+	2- -2 5+ 7-  2  4  2 -4
Curve Equation t Generators 90160bw1 [0,1,0,-7150096,7050179604] 2 [9732:926982:1] 90160bw2 [0,1,0,-19694096,-24465365996] 2 [-1726:66240:1]
90160bx (1 curve)	0	2- 5+ 7- 23-	2-  0 5+ 7- -2  2 -3  2
Curve Equation t 90160bx1 [0,0,0,-19208,1025227] 1
90160by (4 curves)	0	2- 5+ 7- 23-	2-  0 5+ 7-  4  2  6 -4
Curve Equation t 90160by1 [0,0,0,-28763,-1315062] 2 90160by2 [0,0,0,-420763,-105038262] 4 90160by3 [0,0,0,-381563,-125398742] 2 90160by4 [0,0,0,-6731963,-6722962582] 2
90160bz (2 curves)	0	2- 5+ 7- 23-	2-  1 5+ 7-  0 -5 -3 -4
Curve Equation t 90160bz1 [0,1,0,-135256,20647444] 1 90160bz2 [0,1,0,825144,-13542796] 1
90160ca (1 curve)	0	2- 5+ 7- 23-	2-  1 5+ 7-  3 -1  5 -2
Curve Equation t 90160ca1 [0,1,0,25499,631315] 1
90160cb (2 curves)	0	2- 5+ 7- 23-	2-  1 5+ 7-  6  1 -6  2
Curve Equation t 90160cb1 [0,1,0,-129007706,563947245119] 1 90160cb2 [0,1,0,-127709206,575856798019] 1
90160cc (1 curve)	2	2- 5+ 7- 23-	2- -1 5+ 7-  4 -1  0 -4
Curve Equation t Generators 90160cc1 [0,-1,0,-506,4831] 1 [-19:85:1]&[5:49:1]
90160cd (1 curve)	2	2- 5+ 7- 23-	2- -1 5+ 7- -5 -1  3 -4
Curve Equation t Generators 90160cd1 [0,-1,0,146739,22758961] 1 [-135:686:1]&[208:7889:1]
90160ce (2 curves)	0	2- 5+ 7- 23-	2-  2 5+ 7- -6 -2  2  4
Curve Equation t 90160ce1 [0,-1,0,-745254736,7826909132736] 2 90160ce2 [0,-1,0,-885747536,4668968171456] 2
90160cf (2 curves)	0	2- 5+ 7- 23-	2- -2 5+ 7-  6  2  2  4
Curve Equation t 90160cf1 [0,1,0,-11776,-152076] 2 90160cf2 [0,1,0,-148976,-22158956] 2
90160cg (2 curves)	0	2- 5+ 7- 23-	2- -2 5+ 7-  6  4  6  2
Curve Equation t 90160cg1 [0,1,0,19,-281] 1 90160cg2 [0,1,0,-2781,-57401] 1
90160ch (1 curve)	1	2- 5- 7+ 23+	2-  2 5- 7+  2  2  7 -8
Curve Equation t Generators 90160ch1 [0,-1,0,915,-17023] 1 [2288561:17140362:50653]
90160ci (1 curve)	0	2- 5- 7+ 23-	2-  0 5- 7+ -2 -2  3 -2
Curve Equation t 90160ci1 [0,0,0,-392,-2989] 1
90160cj (2 curves)	0	2- 5- 7+ 23-	2- -1 5- 7+  0  5  3  4
Curve Equation t 90160cj1 [0,-1,0,-2760,-59408] 1 90160cj2 [0,-1,0,16840,34672] 1
90160ck (2 curves)	0	2- 5- 7+ 23-	2-  2 5- 7+  6 -4 -6 -2
Curve Equation t 90160ck1 [0,-1,0,915,98225] 1 90160ck2 [0,-1,0,-136285,19415985] 1
90160cl (2 curves)	0	2- 5- 7- 23+	2-  0 5- 7-  2  0 -2  0
Curve Equation t 90160cl1 [0,0,0,-1056587,138173434] 2 90160cl2 [0,0,0,3961013,1072450554] 2
90160cm (2 curves)	0	2- 5- 7- 23+	2-  0 5- 7-  2  2 -2 -4
Curve Equation t 90160cm1 [0,0,0,-51107,2386594] 2 90160cm2 [0,0,0,168413,17445666] 2
90160cn (1 curve)	0	2- 5- 7- 23+	2-  0 5- 7- -2  2 -3 -2
Curve Equation t 90160cn1 [0,0,0,5488,-235984] 1
90160co (2 curves)	0	2- 5- 7- 23+	2-  0 5- 7- -2 -4  6 -8
Curve Equation t 90160co1 [0,0,0,-127547,-17526614] 2 90160co2 [0,0,0,-107947,-23096934] 2
90160cp (4 curves)	0	2- 5- 7- 23+	2-  0 5- 7-  4  2 -6  4
Curve Equation t 90160cp1 [0,0,0,1813,51737434] 2 90160cp2 [0,0,0,-2071867,1128806826] 4 90160cp3 [0,0,0,-4325867,-1764878374] 2 90160cp4 [0,0,0,-32996747,72954933114] 4
90160cq (2 curves)	0	2- 5- 7- 23+	2-  0 5- 7- -4 -4 -2  8
Curve Equation t 90160cq1 [0,0,0,-95627,-11360454] 2 90160cq2 [0,0,0,-1529227,-727873734] 2
90160cr (2 curves)	0	2- 5- 7- 23+	2-  1 5- 7-  0  7  3 -4
Curve Equation t 90160cr1 [0,1,0,-483240,129137588] 1 90160cr2 [0,1,0,-315800,219972500] 1
90160cs (2 curves)	0	2- 5- 7- 23+	2-  1 5- 7-  6  1  0  2
Curve Equation t 90160cs1 [0,1,0,-2270,185975] 1 90160cs2 [0,1,0,20270,-4813397] 1
90160ct (2 curves)	2	2- 5- 7- 23+	2- -2 5- 7-  0 -4 -2 -8
Curve Equation t Generators 90160ct1 [0,1,0,600,32500] 2 [20:-230:1]&[-12:154:1] 90160ct2 [0,1,0,-12280,491028] 2 [-124:350:1]&[-74:1000:1]
90160cu (4 curves)	0	2- 5- 7- 23+	2- -2 5- 7-  6  4 -6  8
Curve Equation t 90160cu1 [0,1,0,-1443360,664102900] 2 90160cu2 [0,1,0,-2227360,-137772300] 2 90160cu3 [0,1,0,-8295520,-8719317132] 2 90160cu4 [0,1,0,-130795520,-575796317132] 2
90160cv (1 curve)	0	2- 5- 7- 23+	2-  3 5- 7-  1 -7 -3 -8
Curve Equation t 90160cv1 [0,0,0,-10192,1081136] 1
90160cw (2 curves)	1	2- 5- 7- 23-	2-  0 5- 7-  0 -4 -4 -2
Curve Equation t Generators 90160cw1 [0,0,0,-697907,-304398094] 2 [10217:1029120:1] 90160cw2 [0,0,0,-12238387,-16477226766] 2 [-2007:960:1]
90160cx (4 curves)	1	2- 5- 7- 23-	2-  0 5- 7-  0  6  2 -4
Curve Equation t Generators 90160cx1 [0,0,0,-233387,-21801766] 2 [-377:3550:1] 90160cx2 [0,0,0,-1801387,915548634] 4 [5895:441762:1] 90160cx3 [0,0,0,1813,2665013274] 2 [772781325:59381136982:132651] 90160cx4 [0,0,0,-28692587,59156509594] 4 [1502089315:90534277002:226981]
90160cy (1 curve)	1	2- 5- 7- 23-	2-  0 5- 7-  2 -6  7 -6
Curve Equation t Generators 90160cy1 [0,0,0,-76832,-21563381] 1 [393:2990:1]
90160cz (1 curve)	1	2- 5- 7- 23-	2-  0 5- 7- -6 -6 -7  2
Curve Equation t Generators 90160cz1 [0,0,0,-392,-4116] 1 [74:610:1]
90160da (1 curve)	1	2- 5- 7- 23-	2- -1 5- 7-  3  1 -5  2
Curve Equation t Generators 90160da1 [0,-1,0,1249435,-214042163] 1 [4282:197225:8]
90160db (1 curve)	1	2- 5- 7- 23-	2- -1 5- 7-  5 -3  5  0
Curve Equation t Generators 90160db1 [0,-1,0,18034875,52693478125] 1 [-498360:94707445:512]
90160dc (1 curve)	1	2- 5- 7- 23-	2-  2 5- 7-  2  0  2 -6
Curve Equation t Generators 90160dc1 [0,-1,0,-12805,791085] 1 [771138669660:9633949753413:3833037125]
90160dd (1 curve)	1	2- 5- 7- 23-	2-  2 5- 7-  2  0 -3 -6
Curve Equation t Generators 90160dd1 [0,-1,0,-24040,-4832400] 1 [420:7680:1]
90160de (1 curve)	1	2- 5- 7- 23-	2-  2 5- 7-  2  6  3  0
Curve Equation t Generators 90160de1 [0,-1,0,-2221725,-1325665375] 1 [934535:38865630:343]
90160df (2 curves)	1	2- 5- 7- 23-	2-  2 5- 7-  6 -2 -2 -4
Curve Equation t Generators 90160df1 [0,-1,0,-240,512] 2 [2:6:1] 90160df2 [0,-1,0,-3040,65472] 2 [1482:56994:1]
90160dg (4 curves)	1	2- 5- 7- 23-	2- -2 5- 7-  0 -2  6 -4
Curve Equation t Generators 90160dg1 [0,1,0,-118400,15186100] 2 [-150:5440:1] 90160dg2 [0,1,0,38400,52629940] 2 [-52:7106:1] 90160dg3 [0,1,0,-1325760,-582918092] 2 [-694:1840:1] 90160dg4 [0,1,0,-345760,-1424542092] 2 [1756:58190:1]
90160dh (2 curves)	1	2- 5- 7- 23-	2- -2 5- 7- -6  2 -2 -4
Curve Equation t Generators 90160dh1 [0,1,0,-15209280,-22823322572] 2 [-2292:1058:1] 90160dh2 [0,1,0,-18076480,-13617316812] 2 [4748:87262:1]
90160di (2 curves)	1	2- 5- 7- 23-	2- -2 5- 7- -6  4 -3  2
Curve Equation t Generators 90160di1 [0,1,0,-240,2260] 1 [18:64:1] 90160di2 [0,1,0,2000,-39852] 1 [146:-1840:1]
90160dj (1 curve)	1	2- 5- 7- 23-	2-  3 5- 7-  0  3 -4 -4
Curve Equation t Generators 90160dj1 [0,0,0,-3577,841379] 1 [-1050:25921:27]
90160dk (1 curve)	1	2- 5- 7- 23-	2- -3 5- 7-  6  5  2 -2
Curve Equation t Generators 90160dk1 [0,0,0,-637,12691] 1 [42:245:1]

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