Cremona's table of elliptic curves

76590 = 2 · 3² · 5 · 23 · 37

Class	r	Atkin-Lehner	Eigenvalues
76590a (1 curve)	1	2+ 3+ 5+ 23+ 37+	2+ 3+ 5+  1  5  1 -1  7
Curve Equation t Generators 76590a1 [1,-1,0,-9330540,-10910883700] 1 [773898146:59584642682:103823]
76590b (1 curve)	0	2+ 3+ 5+ 23+ 37-	2+ 3+ 5+ -1 -3 -3  3  5
Curve Equation t 76590b1 [1,-1,0,-34170,-1667404] 1
76590c (2 curves)	1	2+ 3+ 5+ 23- 37-	2+ 3+ 5+  0 -4  4  0  0
Curve Equation t Generators 76590c1 [1,-1,0,-7230,151200] 2 [-39:630:1] 76590c2 [1,-1,0,-48300,-3964014] 2 [-113:260:1]
76590d (1 curve)	1	2+ 3+ 5- 23+ 37-	2+ 3+ 5-  2  1 -6  3 -5
Curve Equation t Generators 76590d1 [1,-1,0,-1119,-14417] 1 [47:164:1]
76590e (2 curves)	1	2+ 3+ 5- 23+ 37-	2+ 3+ 5-  2 -3  2 -3  5
Curve Equation t Generators 76590e1 [1,-1,0,276,8280] 3 [78:831:8] 76590e2 [1,-1,0,-2499,-233515] 1 [1427426:31641413:2744]
76590f (2 curves)	1	2+ 3+ 5- 23- 37+	2+ 3+ 5-  0  0 -4 -6  2
Curve Equation t Generators 76590f1 [1,-1,0,-4119,104525] 2 [34:-71:1] 76590f2 [1,-1,0,-66219,6575345] 2 [-101:3547:1]
76590g (1 curve)	1	2+ 3+ 5- 23- 37+	2+ 3+ 5- -1  2 -6  6 -4
Curve Equation t Generators 76590g1 [1,-1,0,-69,-19675] 1 [46:-293:1]
76590h (1 curve)	1	2+ 3+ 5- 23- 37+	2+ 3+ 5- -3 -3 -1  5 -3
Curve Equation t Generators 76590h1 [1,-1,0,-115494,15136208] 1 [202:-236:1]
76590i (1 curve)	2	2+ 3+ 5- 23- 37-	2+ 3+ 5- -5  3 -7 -3 -3
Curve Equation t Generators 76590i1 [1,-1,0,-942174,352194068] 1 [524:-1734:1]&[-653:26569:1]
76590j (2 curves)	0	2+ 3- 5+ 23+ 37+	2+ 3- 5+  0  4  2 -8 -2
Curve Equation t 76590j1 [1,-1,0,-130770,-18168800] 2 76590j2 [1,-1,0,-127440,-19140494] 2
76590k (4 curves)	1	2+ 3- 5+ 23+ 37-	2+ 3- 5+  0  0  2  6 -8
Curve Equation t Generators 76590k1 [1,-1,0,6660,691456] 2 [-52:476:1] 76590k2 [1,-1,0,-88560,9280300] 4 [-202:4448:1] 76590k3 [1,-1,0,-318330,-58777574] 2 [-313:3338:1] 76590k4 [1,-1,0,-1382310,625881550] 2 [431:10274:1]
76590l (2 curves)	1	2+ 3- 5+ 23+ 37-	2+ 3- 5+ -1  6  2  0  2
Curve Equation t Generators 76590l1 [1,-1,0,-16203060,25114476816] 1 [-1347:211611:1] 76590l2 [1,-1,0,-1312540560,18303114599316] 3 [19353:377211:1]
76590m (1 curve)	1	2+ 3- 5+ 23+ 37-	2+ 3- 5+  3 -3 -1  3 -5
Curve Equation t Generators 76590m1 [1,-1,0,-21645,1193701] 1 [-150:1099:1]
76590n (2 curves)	1	2+ 3- 5+ 23+ 37-	2+ 3- 5+  4 -4  2  0  2
Curve Equation t Generators 76590n1 [1,-1,0,-3819510,-2872203840] 2 [474158184:28181568732:103823] 76590n2 [1,-1,0,-3816180,-2877464574] 2 [1439520372600691032:-87001325155480527117:315209471919616]
76590o (1 curve)	1	2+ 3- 5+ 23- 37+	2+ 3- 5+ -3 -1  4 -3 -2
Curve Equation t Generators 76590o1 [1,-1,0,4815,140535] 1 [-9:315:1]
76590p (4 curves)	2	2+ 3- 5+ 23- 37-	2+ 3- 5+  0  0 -2 -2  0
Curve Equation t Generators 76590p1 [1,-1,0,6210,465556] 2 [-410:1033:8]&[12:-742:1] 76590p2 [1,-1,0,-65790,5750356] 4 [-2106:18533:8]&[260:-2614:1] 76590p3 [1,-1,0,-265590,-46717124] 2 [815:16256:1]&[1695:65264:1] 76590p4 [1,-1,0,-1017990,395581036] 2 [-775:27194:1]&[-109:22532:1]
76590q (6 curves)	0	2+ 3- 5+ 23- 37-	2+ 3- 5+  0  4 -2  6  4
Curve Equation t 76590q1 [1,-1,0,-100845,-11746139] 2 76590q2 [1,-1,0,-285165,43586725] 4 76590q3 [1,-1,0,708435,279467365] 2 76590q4 [1,-1,0,-4227885,3346797541] 4 76590q5 [1,-1,0,-3894885,3895781341] 2 76590q6 [1,-1,0,-67644405,214155993325] 2
76590r (2 curves)	0	2+ 3- 5+ 23- 37-	2+ 3- 5+  0 -4 -2  6 -6
Curve Equation t 76590r1 [1,-1,0,-47401304580,3972233755138896] 2 76590r2 [1,-1,0,-47536964100,3948353636965200] 2
76590s (1 curve)	0	2+ 3- 5+ 23- 37-	2+ 3- 5+ -3  5  1  3  3
Curve Equation t 76590s1 [1,-1,0,-427365,-107322219] 1
76590t (2 curves)	0	2+ 3- 5+ 23- 37-	2+ 3- 5+  4  0  2  6  6
Curve Equation t 76590t1 [1,-1,0,-1005,11825] 2 76590t2 [1,-1,0,-3075,-50689] 2
76590u (4 curves)	0	2+ 3- 5+ 23- 37-	2+ 3- 5+  4 -4 -2 -2  0
Curve Equation t 76590u1 [1,-1,0,-655350,-154644364] 2 76590u2 [1,-1,0,-3604470,2506051700] 4 76590u3 [1,-1,0,2489610,10112682356] 2 76590u4 [1,-1,0,-56884470,165148579700] 2
76590v (2 curves)	1	2+ 3- 5- 23+ 37+	2+ 3- 5-  0  4  0 -2  0
Curve Equation t Generators 76590v1 [1,-1,0,-5499,-157595] 2 [134:1157:1] 76590v2 [1,-1,0,-88299,-10077035] 2 [479:7334:1]
76590w (2 curves)	1	2+ 3- 5- 23+ 37+	2+ 3- 5-  0  4  2 -2 -2
Curve Equation t Generators 76590w1 [1,-1,0,-211554,179860] 2 [-19:2057:1] 76590w2 [1,-1,0,-2331234,1366525588] 2 [227:29024:1]
76590x (2 curves)	1	2+ 3- 5- 23+ 37+	2+ 3- 5- -2  4  2 -2  0
Curve Equation t Generators 76590x1 [1,-1,0,-729,-6215] 2 [-19:32:1] 76590x2 [1,-1,0,1341,-36437] 2 [27:124:1]
76590y (2 curves)	0	2+ 3- 5- 23+ 37-	2+ 3- 5- -4  0  4 -2  0
Curve Equation t 76590y1 [1,-1,0,306,-56700] 2 76590y2 [1,-1,0,-20394,-1087560] 2
76590z (2 curves)	0	2+ 3- 5- 23+ 37-	2+ 3- 5- -4  3  2 -6  2
Curve Equation t 76590z1 [1,-1,0,5346,-162540] 1 76590z2 [1,-1,0,-52614,7244748] 3
76590ba (4 curves)	0	2+ 3- 5- 23- 37+	2+ 3- 5-  0  0 -2 -2 -4
Curve Equation t 76590ba1 [1,-1,0,15471,-12476835] 2 76590ba2 [1,-1,0,-721809,-228794787] 4 76590ba3 [1,-1,0,-1787409,604291293] 2 76590ba4 [1,-1,0,-11452689,-14915077155] 2
76590bb (1 curve)	2	2+ 3- 5- 23- 37+	2+ 3- 5-  1  1 -7 -3 -1
Curve Equation t Generators 76590bb1 [1,-1,0,-324,-1620] 1 [-14:12:1]&[-9:-18:1]
76590bc (2 curves)	1	2+ 3- 5- 23- 37-	2+ 3- 5- -1  3 -1 -3 -1
Curve Equation t Generators 76590bc1 [1,-1,0,-69385959,-222444475587] 1 [15582:1566849:1] 76590bc2 [1,-1,0,-75465819,-181150250175] 3 [10236:339537:1]
76590bd (1 curve)	1	2+ 3- 5- 23- 37-	2+ 3- 5- -2  5 -4  5 -1
Curve Equation t Generators 76590bd1 [1,-1,0,241641,38289213] 1 [-123:2649:1]
76590be (1 curve)	1	2+ 3- 5- 23- 37-	2+ 3- 5- -5 -1  4  1  6
Curve Equation t Generators 76590be1 [1,-1,0,831,-7075] 1 [61:487:1]
76590bf (2 curves)	0	2- 3+ 5+ 23+ 37+	2- 3+ 5+  0  0 -4  6  2
Curve Equation t 76590bf1 [1,-1,1,-458,-3719] 2 76590bf2 [1,-1,1,-7358,-241079] 2
76590bg (1 curve)	2	2- 3+ 5+ 23+ 37+	2- 3+ 5+ -1 -2 -6 -6 -4
Curve Equation t Generators 76590bg1 [1,-1,1,-8,731] 1 [-9:7:1]&[-5:27:1]
76590bh (1 curve)	0	2- 3+ 5+ 23+ 37+	2- 3+ 5+ -3  3 -1 -5 -3
Curve Equation t 76590bh1 [1,-1,1,-12833,-556323] 1
76590bi (1 curve)	1	2- 3+ 5+ 23+ 37-	2- 3+ 5+ -5 -3 -7  3 -3
Curve Equation t Generators 76590bi1 [1,-1,1,-8479568,-9500760269] 1 [-1667:1265:1]
76590bj (1 curve)	0	2- 3+ 5+ 23- 37-	2- 3+ 5+  2 -1 -6 -3 -5
Curve Equation t 76590bj1 [1,-1,1,-10073,399331] 1
76590bk (2 curves)	0	2- 3+ 5+ 23- 37-	2- 3+ 5+  2  3  2  3  5
Curve Equation t 76590bk1 [1,-1,1,-278,8741] 3 76590bk2 [1,-1,1,2482,-226043] 1
76590bl (2 curves)	0	2- 3+ 5- 23+ 37-	2- 3+ 5-  0  4  4  0  0
Curve Equation t 76590bl1 [1,-1,1,-65072,-4017329] 2 76590bl2 [1,-1,1,-434702,107463079] 2
76590bm (1 curve)	0	2- 3+ 5- 23- 37+	2- 3+ 5-  1 -5  1  1  7
Curve Equation t 76590bm1 [1,-1,1,-1036727,404452379] 1
76590bn (1 curve)	1	2- 3+ 5- 23- 37-	2- 3+ 5- -1  3 -3 -3  5
Curve Equation t Generators 76590bn1 [1,-1,1,-3797,63021] 1 [11:144:1]
76590bo (2 curves)	1	2- 3- 5+ 23+ 37+	2- 3- 5+  0  6  2 -2 -6
Curve Equation t Generators 76590bo1 [1,-1,1,-15683,790431] 2 [-25:1092:1] 76590bo2 [1,-1,1,-253733,49257411] 2 [2974:18435:8]
76590bp (1 curve)	1	2- 3- 5+ 23+ 37+	2- 3- 5+  2  1  0  3  5
Curve Equation t Generators 76590bp1 [1,-1,1,3982,-304783] 1 [225:3343:1]
76590bq (2 curves)	0	2- 3- 5+ 23+ 37-	2- 3- 5+  0  2  4 -2  6
Curve Equation t 76590bq1 [1,-1,1,927877,-2068267669] 2 76590bq2 [1,-1,1,-19772123,-32050147669] 2
76590br (2 curves)	0	2- 3- 5+ 23+ 37-	2- 3- 5+  0  2 -4 -2  2
Curve Equation t 76590br1 [1,-1,1,382,1181] 2 76590br2 [1,-1,1,-1688,11117] 2
76590bs (1 curve)	0	2- 3- 5+ 23+ 37-	2- 3- 5+ -2 -1  0  1  1
Curve Equation t 76590bs1 [1,-1,1,-76703,-8508153] 1
76590bt (1 curve)	0	2- 3- 5+ 23+ 37-	2- 3- 5+  3 -1  1  7 -3
Curve Equation t 76590bt1 [1,-1,1,-131063,-18227653] 1
76590bu (1 curve)	0	2- 3- 5+ 23+ 37-	2- 3- 5+  3 -1 -4  7  2
Curve Equation t 76590bu1 [1,-1,1,-75369578,260035751081] 1
76590bv (1 curve)	2	2- 3- 5+ 23+ 37-	2- 3- 5+ -3  2 -2 -8 -6
Curve Equation t Generators 76590bv1 [1,-1,1,-650633,291421577] 1 [-857:15228:1]&[1215:35356:1]
76590bw (4 curves)	0	2- 3- 5+ 23+ 37-	2- 3- 5+  4 -4  6 -2  4
Curve Equation t 76590bw1 [1,-1,1,-311468,66645807] 4 76590bw2 [1,-1,1,-495788,-21237969] 4 76590bw3 [1,-1,1,1955092,-170251473] 2 76590bw4 [1,-1,1,-5895788,-5498997969] 2
76590bx (2 curves)	0	2- 3- 5+ 23- 37+	2- 3- 5+  4 -4  2 -4  6
Curve Equation t 76590bx1 [1,-1,1,-11003,119787] 2 76590bx2 [1,-1,1,42277,908331] 2
76590by (1 curve)	1	2- 3- 5+ 23- 37-	2- 3- 5+  1 -3  5  7  3
Curve Equation t Generators 76590by1 [1,-1,1,-1193,15977] 1 [15:28:1]
76590bz (1 curve)	1	2- 3- 5+ 23- 37-	2- 3- 5+  1 -5 -5  3  5
Curve Equation t Generators 76590bz1 [1,-1,1,-35213,-1944219] 1 [-67:366:1]
76590ca (1 curve)	1	2- 3- 5+ 23- 37-	2- 3- 5+  3 -2 -2  0 -2
Curve Equation t Generators 76590ca1 [1,-1,1,10716086902,-787294912130103] 1 [862353:805636023:1]
76590cb (1 curve)	1	2- 3- 5+ 23- 37-	2- 3- 5+  3  3  4 -5 -6
Curve Equation t Generators 76590cb1 [1,-1,1,-21758,-1396083] 1 [377:-6813:1]
76590cc (4 curves)	1	2- 3- 5+ 23- 37-	2- 3- 5+ -4  0  2 -6  2
Curve Equation t Generators 76590cc1 [1,-1,1,-632318,-193373143] 2 [-4911209710560360:2484356107884341:10706185664000] 76590cc2 [1,-1,1,-634388,-192041719] 2 [-195903300:-529157213:438976] 76590cc3 [1,-1,1,-719393,-136618063] 6 [-105336:885245:512] 76590cc4 [1,-1,1,-5099513,4336360481] 6 [-1695:90892:1]
76590cd (2 curves)	1	2- 3- 5+ 23- 37-	2- 3- 5+ -4 -6  0 -2 -8
Curve Equation t Generators 76590cd1 [1,-1,1,1642,-135003] 2 [77:-705:1] 76590cd2 [1,-1,1,-31478,-2016219] 2 [335:-5163:1]
76590ce (1 curve)	0	2- 3- 5- 23+ 37+	2- 3- 5-  1  5  6  7  6
Curve Equation t 76590ce1 [1,-1,1,5596798,-7625111799] 1
76590cf (1 curve)	0	2- 3- 5- 23+ 37+	2- 3- 5- -2  5 -4 -7  5
Curve Equation t 76590cf1 [1,-1,1,1633,11409] 1
76590cg (2 curves)	0	2- 3- 5- 23+ 37+	2- 3- 5-  4  0  6 -6 -2
Curve Equation t 76590cg1 [1,-1,1,-11642,-117831] 2 76590cg2 [1,-1,1,-144122,-20996679] 2
76590ch (2 curves)	0	2- 3- 5- 23+ 37+	2- 3- 5- -4 -4  2  2  2
Curve Equation t 76590ch1 [1,-1,1,-4950932,4238294739] 2 76590ch2 [1,-1,1,-6045962,2226067611] 2
76590ci (2 curves)	1	2- 3- 5- 23+ 37-	2- 3- 5-  2  3 -4  3 -7
Curve Equation t Generators 76590ci1 [1,-1,1,-58802,5528459] 1 [1302:3341:8] 76590ci2 [1,-1,1,-4769087,4009868111] 3 [-1959:77344:1]
76590cj (1 curve)	1	2- 3- 5- 23- 37+	2- 3- 5-  1  1 -2  7 -2
Curve Equation t Generators 76590cj1 [1,-1,1,-2423462,1453163861] 1 [861:-2501:1]
76590ck (1 curve)	1	2- 3- 5- 23- 37+	2- 3- 5-  1 -5 -1  1  1
Curve Equation t Generators 76590ck1 [1,-1,1,-18662,137589] 1 [-31:-813:1]
76590cl (1 curve)	1	2- 3- 5- 23- 37+	2- 3- 5- -3 -5 -4 -1  2
Curve Equation t Generators 76590cl1 [1,-1,1,-14222,-716561] 1 [1214:5599:8]
76590cm (1 curve)	0	2- 3- 5- 23- 37-	2- 3- 5-  4 -3  6  2  2
Curve Equation t 76590cm1 [1,-1,1,-1291772,-568495169] 1
76590cn (1 curve)	0	2- 3- 5- 23- 37-	2- 3- 5- -4 -3  6 -6  2
Curve Equation t 76590cn1 [1,-1,1,-482,4191] 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