Cremona's table of elliptic curves

76176 = 2⁴ · 3² · 23²

Class	r	Atkin-Lehner	Eigenvalues
76176a (2 curves)	1	2+ 3- 23-	2+ 3-  0 -2  0  2  8  6
Curve Equation t Generators 76176a1 [0,0,0,-13846575,-20008363826] 2 [9927709744011845159268614246590:-2336123749114555310046472361987778:178466678396838477626234129] 76176a2 [0,0,0,-222092715,-1273941671222] 2 [-50598119369715412339:-1262738620293103062:5881810338772831]
76176b (1 curve)	1	2+ 3- 23-	2+ 3-  0 -2  0 -5 -6  6
Curve Equation t Generators 76176b1 [0,0,0,-261855,51575913] 1 [8832:25921:27]
76176c (2 curves)	1	2+ 3- 23-	2+ 3-  0  4 -6 -2  6 -6
Curve Equation t Generators 76176c1 [0,0,0,23805,-1971054] 2 [75:486:1] 76176c2 [0,0,0,-166635,-20367558] 2 [6423:513702:1]
76176d (1 curve)	1	2+ 3- 23-	2+ 3-  1 -2  2 -5  2  6
Curve Equation t Generators 76176d1 [0,0,0,-1587,-32798] 1 [147:1706:1]
76176e (1 curve)	1	2+ 3- 23-	2+ 3- -1  2 -2 -5 -2 -6
Curve Equation t Generators 76176e1 [0,0,0,-839523,399053266] 1 [1131:29938:1]
76176f (1 curve)	1	2+ 3- 23-	2+ 3-  2  1 -5  4 -2  0
Curve Equation t Generators 76176f1 [0,0,0,-937309179,11045170357450] 1 [20102:571320:1]
76176g (1 curve)	1	2+ 3- 23-	2+ 3-  2  1  6 -7 -2  0
Curve Equation t Generators 76176g1 [0,0,0,-82524,-9126308] 1 [475427867420321091:7554728104017459907:1012380745726531]
76176h (1 curve)	1	2+ 3- 23-	2+ 3-  2 -1 -2  1 -2  0
Curve Equation t Generators 76176h1 [0,0,0,276,-1748] 1 [81:743:1]
76176i (2 curves)	1	2+ 3- 23-	2+ 3-  2  2  0  2 -6  2
Curve Equation t Generators 76176i1 [0,0,0,-1794,29095] 2 [11921:32040:343] 76176i2 [0,0,0,-759,62422] 2 [101:1008:1]
76176j (2 curves)	1	2+ 3- 23-	2+ 3-  2  2 -4 -6  6  6
Curve Equation t Generators 76176j1 [0,0,0,-66999,6698198] 2 [1058:3105:8] 76176j2 [0,0,0,-1073019,427818170] 2 [673:3240:1]
76176k (1 curve)	1	2+ 3- 23-	2+ 3-  2  2  6 -1  6 -4
Curve Equation t Generators 76176k1 [0,0,0,36501,-6436343] 1 [231555442615918512:1369440199416026039:1766426976505387]
76176l (1 curve)	1	2+ 3- 23-	2+ 3-  2 -2  4  4  7 -3
Curve Equation t Generators 76176l1 [0,0,0,36501,16230778] 1 [1587:116380:27]
76176m (2 curves)	1	2+ 3- 23-	2+ 3-  2 -4  2  6  0  6
Curve Equation t Generators 76176m1 [0,0,0,36501,-167344918] 2 [830951:13227948:1331] 76176m2 [0,0,0,-4343619,-3411261790] 2 [389223259403:-37612177726770:39651821]
76176n (4 curves)	1	2+ 3- 23-	2+ 3-  2 -4  4 -2 -2  0
Curve Equation t Generators 76176n1 [0,0,0,-987114,377481175] 2 [-346104:13888895:512] 76176n2 [0,0,0,-1010919,358318150] 4 [-71482689000:-2843809396285:105154048] 76176n3 [0,0,0,1179141,1698196858] 2 [576173:98876448:2197] 76176n4 [0,0,0,-3581859,-2207994158] 2 [2554495:363559482:125]
76176o (6 curves)	1	2+ 3- 23-	2+ 3- -2  0 -4 -2  2 -4
Curve Equation t Generators 76176o1 [0,0,0,3174,-85169] 2 [237731:2713320:2197] 76176o2 [0,0,0,-20631,-851690] 4 [461:9360:1] 76176o3 [0,0,0,-115851,14478730] 4 [138:1058:1] 76176o4 [0,0,0,-306291,-65239454] 2 [1403:47610:1] 76176o5 [0,0,0,74589,57403906] 2 [1794:77234:1] 76176o6 [0,0,0,-1829811,952700434] 2 [575:9522:1]
76176p (1 curve)	1	2+ 3- 23-	2+ 3- -2  1  2  1  2  0
Curve Equation t Generators 76176p1 [0,0,0,146004,21267916] 1 [230039475:7245695623:300763]
76176q (1 curve)	1	2+ 3- 23-	2+ 3- -2 -1  5  4  2  0
Curve Equation t Generators 76176q1 [0,0,0,-1771851,-907797350] 1 [4636772:1247842557:64]
76176r (1 curve)	1	2+ 3- 23-	2+ 3- -2 -1 -6 -7  2  0
Curve Equation t Generators 76176r1 [0,0,0,-43655196,111039789436] 1 [103035:119557:27]
76176s (2 curves)	1	2+ 3- 23-	2+ 3- -2  2  2 -2 -4  0
Curve Equation t Generators 76176s1 [0,0,0,-306291,92444866] 2 [69:8464:1] 76176s2 [0,0,0,-5448171,4893932410] 2 [506:47610:1]
76176t (1 curve)	1	2+ 3- 23-	2+ 3- -2  2 -4  4 -7  3
Curve Equation t Generators 76176t1 [0,0,0,69,-1334] 1 [9:4:1]
76176u (2 curves)	1	2+ 3- 23-	2+ 3- -2 -2  0  2  6 -2
Curve Equation t Generators 76176u1 [0,0,0,-949026,-353998865] 2 [116548697297775709109:-30755027964972711260232:1673418579999067] 76176u2 [0,0,0,-401511,-759488474] 2 [16898887495:89256893616:15813251]
76176v (2 curves)	1	2+ 3- 23-	2+ 3- -2 -2  4 -6 -6 -6
Curve Equation t Generators 76176v1 [0,0,0,-35442471,-81496975066] 2 [54017235048759322193:3705988118761843411464:5746592743594613] 76176v2 [0,0,0,-567627051,-5205263674390] 2 [1904634829:261318845304:50653]
76176w (1 curve)	1	2+ 3- 23-	2+ 3- -2 -2 -6 -1 -6  4
Curve Equation t Generators 76176w1 [0,0,0,69,529] 1 [0:23:1]
76176x (2 curves)	1	2+ 3- 23-	2+ 3- -2  4 -2  6  0 -6
Curve Equation t Generators 76176x1 [0,0,0,69,13754] 2 [-11:108:1] 76176x2 [0,0,0,-8211,280370] 2 [23:322:1]
76176y (4 curves)	1	2+ 3- 23-	2+ 3- -2 -4  0 -2 -2 -4
Curve Equation t Generators 76176y1 [0,0,0,-20631,-10974634] 2 [10189:1028376:1] 76176y2 [0,0,0,-877611,-314516950] 4 [1369:32400:1] 76176y3 [0,0,0,-1448931,145395650] 2 [-713:28566:1] 76176y4 [0,0,0,-14017971,-20201137774] 2 [83954:7953525:8]
76176z (1 curve)	1	2+ 3- 23-	2+ 3- -2 -4  2  7 -4 -6
Curve Equation t Generators 76176z1 [0,0,0,-20631,-1180199] 1 [33120:432193:125]
76176ba (1 curve)	1	2+ 3- 23-	2+ 3-  3  4  0 -1  2  0
Curve Equation t Generators 76176ba1 [0,0,0,69,8602] 1 [3:94:1]
76176bb (1 curve)	1	2+ 3- 23-	2+ 3- -3 -4  0 -1 -2  0
Curve Equation t Generators 76176bb1 [0,0,0,36501,-104660534] 1 [507:6646:1]
76176bc (2 curves)	1	2+ 3- 23-	2+ 3-  4  2  0  2 -4 -6
Curve Equation t Generators 76176bc1 [0,0,0,17457,3528430] 2 [14585:1761480:1] 76176bc2 [0,0,0,-268203,49519690] 2 [45655:66654:125]
76176bd (1 curve)	1	2+ 3- 23-	2+ 3- -4  2  4 -5 -2  6
Curve Equation t Generators 76176bd1 [0,0,0,-1587,-304175] 1 [6432456:24760903:79507]
76176be (2 curves)	1	2- 3+ 23-	2- 3+  0  1  0  5  0 -8
Curve Equation t Generators 76176be1 [0,0,0,0,-2116] 1 [13:9:1] 76176be2 [0,0,0,0,57132] 1 [69:621:1]
76176bf (2 curves)	1	2- 3+ 23-	2- 3+  0 -1  0  5  0  8
Curve Equation t Generators 76176bf1 [0,0,0,0,25745372] 1 [2546:60915:8] 76176bf2 [0,0,0,0,-695125044] 1 [22032444060354:-677295430618005:16503467336]
76176bg (4 curves)	1	2- 3+ 23-	2- 3+  0 -4  0  2  0  8
Curve Equation t Generators 76176bg1 [0,0,0,0,12167] 2 [1177:40380:1] 76176bg2 [0,0,0,-7935,267674] 2 [-782:2645:8] 76176bg3 [0,0,0,0,-328509] 2 [35103219785140:-201357032252761:428661064000] 76176bg4 [0,0,0,-71415,-7227198] 2 [-32561606:-40471145:195112]
76176bh (2 curves)	1	2- 3+ 23-	2- 3+  0  5  0 -7  0  8
Curve Equation t Generators 76176bh1 [0,0,0,0,368] 1 [-7:5:1] 76176bh2 [0,0,0,0,-9936] 1 [7903:16435:343]
76176bi (2 curves)	1	2- 3+ 23-	2- 3+  0 -5  0 -7  0 -8
Curve Equation t Generators 76176bi1 [0,0,0,0,-4477456] 1 [6771:90737:27] 76176bi2 [0,0,0,0,120891312] 1 [529:16399:1]
76176bj (1 curve)	1	2- 3+ 23-	2- 3+  2  1 -1 -2 -4  2
Curve Equation t Generators 76176bj1 [0,0,0,36501,25185690] 1 [277:7520:1]
76176bk (1 curve)	1	2- 3+ 23-	2- 3+  2 -1 -1 -2 -4 -2
Curve Equation t Generators 76176bk1 [0,0,0,621,55890] 1 [18:270:1]
76176bl (2 curves)	1	2- 3+ 23-	2- 3+  2  2 -4 -2  2 -2
Curve Equation t Generators 76176bl1 [0,0,0,-114264,-14782905] 2 [-171672015215067636596:206276109687549501335:915012191217103552] 76176bl2 [0,0,0,-185679,5913162] 2 [-2280539194:-146377123273:34645976]
76176bm (1 curve)	1	2- 3+ 23-	2- 3+ -2  1  1 -2  4  2
Curve Equation t Generators 76176bm1 [0,0,0,328509,-680013630] 1 [647496:21467349:512]
76176bn (1 curve)	1	2- 3+ 23-	2- 3+ -2 -1  1 -2  4 -2
Curve Equation t Generators 76176bn1 [0,0,0,69,-2070] 1 [13:32:1]
76176bo (2 curves)	1	2- 3+ 23-	2- 3+ -2  2  4 -2 -2 -2
Curve Equation t Generators 76176bo1 [0,0,0,-12696,547515] 2 [-92:48139:64] 76176bo2 [0,0,0,-20631,-219006] 2 [400062:3154956:2197]
76176bp (1 curve)	2	2- 3- 23-	2- 3-  0  1 -4 -3 -8 -4
Curve Equation t Generators 76176bp1 [0,0,0,-5520,181424] 1 [25:243:1]&[41:155:1]
76176bq (1 curve)	0	2- 3- 23-	2- 3-  0 -1  4 -3  8  4
Curve Equation t 76176bq1 [0,0,0,-2920080,-2207385808] 1
76176br (2 curves)	0	2- 3- 23-	2- 3-  0  2  0 -1 -6  2
Curve Equation t 76176br1 [0,0,0,7935,-133837] 1 76176br2 [0,0,0,-87285,12130499] 1
76176bs (4 curves)	0	2- 3- 23-	2- 3-  0  2  0  2  0  2
Curve Equation t 76176bs1 [0,0,0,-2705835,-1791493414] 2 76176bs2 [0,0,0,-43840875,-111729001318] 2 76176bs3 [0,0,0,14433765,-3667936822] 2 76176bs4 [0,0,0,-58695195,-29570214454] 2
76176bt (2 curves)	2	2- 3- 23-	2- 3-  0 -2 -4 -6  4  2
Curve Equation t Generators 76176bt1 [0,0,0,-39675,14868074] 2 [-275:2232:1]&[-115:4232:1] 76176bt2 [0,0,0,-1182315,493177178] 2 [391:9522:1]&[9247:883314:1]
76176bu (1 curve)	0	2- 3- 23-	2- 3-  1  0  0 -5 -2 -4
Curve Equation t 76176bu1 [0,0,0,-14855907,-34699724318] 1
76176bv (1 curve)	0	2- 3- 23-	2- 3-  1  2  4  1 -2 -2
Curve Equation t 76176bv1 [0,0,0,-207,1242] 1
76176bw (1 curve)	0	2- 3- 23-	2- 3-  1 -2  0  1  6 -6
Curve Equation t 76176bw1 [0,0,0,9234753,862469962] 1
76176bx (1 curve)	0	2- 3- 23-	2- 3- -1  0  0 -5  2  4
Curve Equation t 76176bx1 [0,0,0,-28083,2851954] 1
76176by (1 curve)	0	2- 3- 23-	2- 3- -1  2  0  1 -6  6
Curve Equation t 76176by1 [0,0,0,17457,-70886] 1
76176bz (1 curve)	0	2- 3- 23-	2- 3- -1 -2 -4  1  2  2
Curve Equation t 76176bz1 [0,0,0,-109503,-15111414] 1
76176ca (4 curves)	0	2- 3- 23-	2- 3-  2  0  0 -2  2 -8
Curve Equation t 76176ca1 [0,0,0,226941,-40710782] 2 76176ca2 [0,0,0,-1296579,-384112190] 4 76176ca3 [0,0,0,-8152419,8666967778] 2 76176ca4 [0,0,0,-18817059,-31412882270] 2
76176cb (1 curve)	0	2- 3- 23-	2- 3-  2 -2 -4  4 -1 -7
Curve Equation t 76176cb1 [0,0,0,-90459,10483722] 1
76176cc (1 curve)	0	2- 3- 23-	2- 3-  2  5  3  4  6  0
Curve Equation t 76176cc1 [0,0,0,-35004459,-80658571430] 1
76176cd (1 curve)	0	2- 3- 23-	2- 3- -2  2  4  4  1  7
Curve Equation t 76176cd1 [0,0,0,-47852811,-127555445574] 1
76176ce (2 curves)	2	2- 3- 23-	2- 3- -2 -2  6 -2  0  0
Curve Equation t Generators 76176ce1 [0,0,0,-115851,-32826566] 2 [575:9522:1]&[2615:132462:1] 76176ce2 [0,0,0,-2401131,-1430960870] 2 [-897:1058:1]&[3759877:159319674:1331]
76176cf (1 curve)	0	2- 3- 23-	2- 3- -2 -4 -2 -5  4 -2
Curve Equation t 76176cf1 [0,0,0,-4761,-328509] 1
76176cg (1 curve)	2	2- 3- 23-	2- 3- -2 -5 -3  4 -6  0
Curve Equation t Generators 76176cg1 [0,0,0,-66171,6629290] 1 [167:486:1]&[141:320:1]
76176ch (2 curves)	0	2- 3- 23-	2- 3-  3  2 -6 -1  6  2
Curve Equation t 76176ch1 [0,0,0,69,3818] 1 76176ch2 [0,0,0,-16491,815258] 1
76176ci (2 curves)	0	2- 3- 23-	2- 3- -3 -2  6 -1 -6 -2
Curve Equation t 76176ci1 [0,0,0,36501,-46453606] 1 76176ci2 [0,0,0,-8723739,-9919244086] 1
76176cj (1 curve)	0	2- 3- 23-	2- 3-  4 -3  0  1  4 -4
Curve Equation t 76176cj1 [0,0,0,-292008,61565020] 1
76176ck (2 curves)	0	2- 3- 23-	2- 3-  4  4  0 -2  4  4
Curve Equation t 76176ck1 [0,0,0,-5219643,-4698530390] 2 76176ck2 [0,0,0,-84061803,-296651048870] 2
76176cl (2 curves)	0	2- 3- 23-	2- 3-  4 -4 -2 -2 -2 -2
Curve Equation t 76176cl1 [0,0,0,-776043,305513370] 2 76176cl2 [0,0,0,-12964203,17966157210] 2
76176cm (1 curve)	0	2- 3- 23-	2- 3- -4  3  0  1 -4  4
Curve Equation t 76176cm1 [0,0,0,-552,-5060] 1
76176cn (2 curves)	2	2- 3- 23-	2- 3- -4 -4  0 -2 -4 -4
Curve Equation t Generators 76176cn1 [0,0,0,-9867,386170] 2 [-67:864:1]&[47:-162:1] 76176cn2 [0,0,0,-158907,24381610] 2 [23:4554:1]&[138:2254:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations