Cremona's table of elliptic curves

32490 = 2 · 3² · 5 · 19²

Class	r	Atkin-Lehner	Eigenvalues
32490a (2 curves)	1	2+ 3+ 5+ 19+	2+ 3+ 5+  0  4  2 -4 19+
Curve Equation t Generators 32490a1 [1,-1,0,-464475,-121723739] 2 [2006:82757:1] 32490a2 [1,-1,0,-473595,-116687675] 2 [250845:10341262:125]
32490b (4 curves)	0	2+ 3+ 5+ 19-	2+ 3+ 5+  2 -6  4  6 19-
Curve Equation t 32490b1 [1,-1,0,-2775,-63395] 2 32490b2 [1,-1,0,-46095,-3797579] 2 32490b3 [1,-1,0,18885,267281] 2 32490b4 [1,-1,0,-78585,2236175] 2
32490c (2 curves)	0	2+ 3+ 5+ 19-	2+ 3+ 5+ -2  2  4 -6 19-
Curve Equation t 32490c1 [1,-1,0,262560,35717120] 2 32490c2 [1,-1,0,-1296960,316118816] 2
32490d (1 curve)	0	2+ 3+ 5+ 19-	2+ 3+ 5+ -5  2  1  6 19-
Curve Equation t 32490d1 [1,-1,0,-72352590,237818070800] 1
32490e (2 curves)	0	2+ 3+ 5- 19+	2+ 3+ 5-  0 -4 -2  4 19+
Curve Equation t 32490e1 [1,-1,0,-1509079884,-22563511512112] 2 32490e2 [1,-1,0,-1538710764,-21631282544080] 2
32490f (1 curve)	2	2+ 3+ 5- 19+	2+ 3+ 5- -5 -2 -1 -6 19+
Curve Equation t Generators 32490f1 [1,-1,0,-22269,1289633] 1 [-128:1489:1]&[97:-236:1]
32490g (2 curves)	1	2+ 3+ 5- 19-	2+ 3+ 5- -4 -6  0  4 19-
Curve Equation t Generators 32490g1 [1,-1,0,-22269,459333] 2 [157:824:1] 32490g2 [1,-1,0,-195549,-32914395] 2 [-261:672:1]
32490h (2 curves)	0	2+ 3- 5+ 19+	2+ 3- 5+  0 -2 -4  2 19+
Curve Equation t 32490h1 [1,-1,0,-950400,348516400] 2 32490h2 [1,-1,0,-2185020,-743134604] 2
32490i (1 curve)	0	2+ 3- 5+ 19+	2+ 3- 5+ -3 -2  5  5 19+
Curve Equation t 32490i1 [1,-1,0,14895,673501] 1
32490j (4 curves)	1	2+ 3- 5+ 19-	2+ 3- 5+  2  0 -2  0 19-
Curve Equation t Generators 32490j1 [1,-1,0,-73170,94119700] 2 [1517:58169:1] 32490j2 [1,-1,0,-3582090,2591768956] 2 [923:7976:1] 32490j3 [1,-1,0,657855,-2526312515] 2 [278235832:-8904085931:175616] 32490j4 [1,-1,0,-24294465,-44501105219] 2 [-25106:242503:8]
32490k (2 curves)	1	2+ 3- 5+ 19-	2+ 3- 5+ -2  2  0  2 19-
Curve Equation t Generators 32490k1 [1,-1,0,-56925,14131125] 2 [43:-3451:1] 32490k2 [1,-1,0,-1291545,564524721] 2 [765:-5256:1]
32490l (4 curves)	1	2+ 3- 5+ 19-	2+ 3- 5+ -4  4  6  6 19-
Curve Equation t Generators 32490l1 [1,-1,0,40545,-2749235] 2 [838:12577:8] 32490l2 [1,-1,0,-219375,-25154339] 4 [-250:3869:1] 32490l3 [1,-1,0,-1453995,656602825] 2 [-730:36815:1] 32490l4 [1,-1,0,-3143475,-2143957199] 2 [-517880:242677:512]
32490m (1 curve)	1	2+ 3- 5+ 19-	2+ 3- 5+ -5 -1 -6 -4 19-
Curve Equation t Generators 32490m1 [1,-1,0,-27855,-1796499] 1 [225:1701:1]
32490n (2 curves)	1	2+ 3- 5- 19+	2+ 3- 5-  1 -5  2  0 19+
Curve Equation t Generators 32490n1 [1,-1,0,-65589,-6471145] 1 [17599:2325607:1] 32490n2 [1,-1,0,-65589,535403573] 1 [2437:120619:1]
32490o (1 curve)	1	2+ 3- 5- 19+	2+ 3- 5- -1 -2 -3 -4 19+
Curve Equation t Generators 32490o1 [1,-1,0,-16630074,-26270905932] 1 [1035084:200949338:27]
32490p (2 curves)	1	2+ 3- 5- 19+	2+ 3- 5- -1  3  2  6 19+
Curve Equation t Generators 32490p1 [1,-1,0,4806,378108] 1 [-33:444:1] 32490p2 [1,-1,0,-287604,59503410] 3 [21:7302:1]
32490q (2 curves)	1	2+ 3- 5- 19+	2+ 3- 5-  2  0 -2  6 19+
Curve Equation t Generators 32490q1 [1,-1,0,-2034,36868] 2 [24:-50:1] 32490q2 [1,-1,0,-32814,2296120] 2 [101:17:1]
32490r (2 curves)	1	2+ 3- 5- 19+	2+ 3- 5- -2  0 -2  2 19+
Curve Equation t Generators 32490r1 [1,-1,0,-13149,-799227] 2 [219:2496:1] 32490r2 [1,-1,0,-232029,-42955515] 2 [-279:207:1]
32490s (1 curve)	1	2+ 3- 5- 19+	2+ 3- 5-  3 -1  2 -2 19+
Curve Equation t Generators 32490s1 [1,-1,0,37296,5785888] 1 [66649:3678505:1331]
32490t (2 curves)	1	2+ 3- 5- 19+	2+ 3- 5- -4 -6  4 -6 19+
Curve Equation t Generators 32490t1 [1,-1,0,-7679079,-413058947] 2 [5102:302729:1] 32490t2 [1,-1,0,-86694759,-309885871235] 2 [-5314:29657:1]
32490u (1 curve)	0	2+ 3- 5- 19-	2+ 3- 5- -1  0  3  7 19-
Curve Equation t 32490u1 [1,-1,0,4806,241650] 1
32490v (2 curves)	2	2+ 3- 5- 19-	2+ 3- 5- -1 -6 -5  0 19-
Curve Equation t Generators 32490v1 [1,-1,0,-324,2668] 1 [-13:74:1]&[14:20:1] 32490v2 [1,-1,0,2241,-13235] 1 [6:17:1]&[86:857:1]
32490w (1 curve)	0	2+ 3- 5- 19-	2+ 3- 5-  2  3 -6 -2 19-
Curve Equation t 32490w1 [1,-1,0,1386,-19980] 1
32490x (2 curves)	0	2+ 3- 5- 19-	2+ 3- 5-  2  6  0 -2 19-
Curve Equation t 32490x1 [1,-1,0,-320094,76560660] 2 32490x2 [1,-1,0,-5258574,4642679268] 2
32490y (2 curves)	0	2+ 3- 5- 19-	2+ 3- 5- -2 -4  6 -4 19-
Curve Equation t 32490y1 [1,-1,0,-255114,-173898252] 2 32490y2 [1,-1,0,-6493194,-6353340300] 2
32490z (4 curves)	0	2+ 3- 5- 19-	2+ 3- 5-  4  0 -2  2 19-
Curve Equation t 32490z1 [1,-1,0,11944881,-95369996435] 2 32490z2 [1,-1,0,-254213199,-1477635369107] 4 32490z3 [1,-1,0,-759497679,6220575797485] 2 32490z4 [1,-1,0,-4007457999,-97644024283667] 2
32490ba (8 curves)	2	2+ 3- 5- 19-	2+ 3- 5- -4  0 -2 -6 19-
Curve Equation t Generators 32490ba1 [1,-1,0,4806,392548] 2 [24:-734:1]&[-16:566:1] 32490ba2 [1,-1,0,-60174,5162080] 4 [-2202:8321:8]&[-199:3137:1] 32490ba3 [1,-1,0,-43929,-11586515] 2 [2662:24661:8]&[461:-8353:1] 32490ba4 [1,-1,0,-222624,-34768130] 2 [-2778:7457:8]&[-261:2477:1] 32490ba5 [1,-1,0,-937404,349562578] 2 [537:634:1]&[-523:26654:1] 32490ba6 [1,-1,0,-1083609,-433072787] 4 [-613:1049:1]&[-603:1204:1] 32490ba7 [1,-1,0,-17328609,-27760411787] 2 [-2403:1204:1]&[107782:-11876975:8] 32490ba8 [1,-1,0,-1473489,-93331355] 2 [-9042:94771:8]&[-1099:14612:1]
32490bb (2 curves)	0	2- 3+ 5+ 19+	2- 3+ 5+  0  4 -2 -4 19+
Curve Equation t 32490bb1 [1,-1,1,-167675543,835741503407] 2 32490bb2 [1,-1,1,-170967863,801215602031] 2
32490bc (1 curve)	0	2- 3+ 5+ 19+	2- 3+ 5+ -5  2 -1  6 19+
Curve Equation t 32490bc1 [1,-1,1,-200423,-34619669] 1
32490bd (2 curves)	1	2- 3+ 5+ 19-	2- 3+ 5+ -4  6  0 -4 19-
Curve Equation t Generators 32490bd1 [1,-1,1,-200423,-12201569] 2 [613:9440:1] 32490bd2 [1,-1,1,-1759943,890448607] 2 [917:6400:1]
32490be (2 curves)	1	2- 3+ 5- 19+	2- 3+ 5-  0 -4  2  4 19+
Curve Equation t Generators 32490be1 [1,-1,1,-4180277,3290721229] 2 [1237:-3994:1] 32490be2 [1,-1,1,-4262357,3154829581] 2 [841:12404:1]
32490bf (4 curves)	0	2- 3+ 5- 19-	2- 3+ 5-  2  6  4 -6 19-
Curve Equation t 32490bf1 [1,-1,1,2098,-10599] 2 32490bf2 [1,-1,1,-8732,-79911] 2 32490bf3 [1,-1,1,-24977,1736641] 2 32490bf4 [1,-1,1,-414857,102949489] 2
32490bg (2 curves)	0	2- 3+ 5- 19-	2- 3+ 5- -2 -2  4  6 19-
Curve Equation t 32490bg1 [1,-1,1,29173,-1332581] 2 32490bg2 [1,-1,1,-144107,-11660069] 2
32490bh (1 curve)	0	2- 3+ 5- 19-	2- 3+ 5- -5 -2  1 -6 19-
Curve Equation t 32490bh1 [1,-1,1,-8039177,-8805396971] 1
32490bi (2 curves)	1	2- 3- 5+ 19+	2- 3- 5+  0 -2  4  2 19+
Curve Equation t Generators 32490bi1 [1,-1,1,-2633,-50119] 2 [81:472:1] 32490bi2 [1,-1,1,-6053,109937] 2 [87:442:1]
32490bj (1 curve)	1	2- 3- 5+ 19+	2- 3- 5+ -3 -2 -5  5 19+
Curve Equation t Generators 32490bj1 [1,-1,1,5377027,-4646428603] 1 [4603:340648:1]
32490bk (1 curve)	1	2- 3- 5+ 19+	2- 3- 5+ -5 -1  6 -4 19+
Curve Equation t Generators 32490bk1 [1,-1,1,-10055723,12372465147] 1 [1715:-13854:1]
32490bl (2 curves)	0	2- 3- 5+ 19-	2- 3- 5+ -1  0  1  3 19-
Curve Equation t 32490bl1 [1,-1,1,-97538,-18031719] 1 32490bl2 [1,-1,1,-9032288,-10446022119] 1
32490bm (2 curves)	0	2- 3- 5+ 19-	2- 3- 5+ -2  0 -6 -8 19-
Curve Equation t 32490bm1 [1,-1,1,-68,-521053] 2 32490bm2 [1,-1,1,-97538,-11515669] 2
32490bn (4 curves)	0	2- 3- 5+ 19-	2- 3- 5+ -2 -2 -4  2 19-
Curve Equation t 32490bn1 [1,-1,1,30329347,-136709816763] 2 32490bn2 [1,-1,1,-285733373,-1601597311419] 2 32490bn3 [1,-1,1,-10726459853,-427592566016283] 2 32490bn4 [1,-1,1,-171623372873,-27366047842833219] 2
32490bo (4 curves)	0	2- 3- 5+ 19-	2- 3- 5+  4  0  6 -2 19-
Curve Equation t 32490bo1 [1,-1,1,-6173168,6171591251] 2 32490bo2 [1,-1,1,-100004288,384949056467] 4 32490bo3 [1,-1,1,-101238908,374957523731] 2 32490bo4 [1,-1,1,-1600067588,24635572389587] 2
32490bp (4 curves)	0	2- 3- 5+ 19-	2- 3- 5+  4  4  2  2 19-
Curve Equation t 32490bp1 [1,-1,1,-32558,3866541] 2 32490bp2 [1,-1,1,-617378,186798237] 4 32490bp3 [1,-1,1,-714848,123949581] 2 32490bp4 [1,-1,1,-9877028,11950257597] 2
32490bq (2 curves)	0	2- 3- 5- 19+	2- 3- 5- -1 -6  5  0 19+
Curve Equation t 32490bq1 [1,-1,1,-117032,-17714761] 1 32490bq2 [1,-1,1,808933,86734091] 3
32490br (2 curves)	0	2- 3- 5- 19+	2- 3- 5-  2  0  2  6 19+
Curve Equation t 32490br1 [1,-1,1,-734342,-249206011] 2 32490br2 [1,-1,1,-11845922,-15689857579] 2
32490bs (1 curve)	0	2- 3- 5- 19+	2- 3- 5-  2  3  6 -2 19+
Curve Equation t 32490bs1 [1,-1,1,500278,134541321] 1
32490bt (2 curves)	0	2- 3- 5- 19+	2- 3- 5- -2  0  2  2 19+
Curve Equation t 32490bt1 [1,-1,1,-4746857,5505632169] 2 32490bt2 [1,-1,1,-83762537,295050689961] 2
32490bu (2 curves)	2	2- 3- 5- 19+	2- 3- 5- -4 -6 -4 -6 19+
Curve Equation t Generators 32490bu1 [1,-1,1,-21272,65819] 2 [237:2761:1]&[-123:961:1] 32490bu2 [1,-1,1,-240152,45242651] 2 [-4482:17627:8]&[261:-671:1]
32490bv (4 curves)	1	2- 3- 5- 19-	2- 3- 5-  0 -4 -2 -2 19-
Curve Equation t Generators 32490bv1 [1,-1,1,-100787,12267011] 4 [201:214:1] 32490bv2 [1,-1,1,-165767,-5433541] 4 [2367:112216:1] 32490bv3 [1,-1,1,646483,-43446841] 2 [147156:-7535897:64] 32490bv4 [1,-1,1,-2017697,-1101035329] 2 [552426:21817429:216]
32490bw (2 curves)	1	2- 3- 5- 19-	2- 3- 5-  1 -5 -2  0 19-
Curve Equation t Generators 32490bw1 [1,-1,1,-182,991] 1 [62:-17:8] 32490bw2 [1,-1,1,-182,-78011] 1 [97:-949:1]
32490bx (1 curve)	1	2- 3- 5- 19-	2- 3- 5- -1 -2  3 -4 19-
Curve Equation t Generators 32490bx1 [1,-1,1,-46067,3842259] 1 [107:-414:1]
32490by (2 curves)	1	2- 3- 5- 19-	2- 3- 5- -1  3 -2  6 19-
Curve Equation t Generators 32490by1 [1,-1,1,1734898,-2602117371] 1 [21886:1192083:8] 32490by2 [1,-1,1,-103825112,-407614763739] 1 [891585929503838:-182403405513429693:20168071048]
32490bz (2 curves)	1	2- 3- 5- 19-	2- 3- 5-  2  4 -6 -4 19-
Curve Equation t Generators 32490bz1 [1,-1,1,-4730612,-3977256621] 2 [702908229560741632691117939899816:-109622231874156032309619447195081657:28845650314473085921580993024] 32490bz2 [1,-1,1,-75786242,-253922540709] 2 [-8049219935841188282:3934677995971446147:1601695135404008]
32490ca (4 curves)	1	2- 3- 5- 19-	2- 3- 5-  2 -6  4  6 19-
Curve Equation t Generators 32490ca1 [1,-1,1,-84054947,299359000419] 2 [347:519666:1] 32490ca2 [1,-1,1,-1348305827,19056290756451] 2 [50051:8747274:1] 32490ca3 [1,-1,1,277753693,1558118706531] 2 [1891113:618079022:343] 32490ca4 [1,-1,1,-1505037587,14350715815299] 2 [17543351:2884868778:343]
32490cb (1 curve)	1	2- 3- 5- 19-	2- 3- 5-  3 -1 -2 -2 19-
Curve Equation t Generators 32490cb1 [1,-1,1,103,-871] 1 [9:22:1]
32490cc (1 curve)	1	2- 3- 5- 19-	2- 3- 5- -5  4  1  3 19-
Curve Equation t Generators 32490cc1 [1,-1,1,-154937,25103449] 1 [347:3436:1]

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