Cremona's table of elliptic curves

118440 = 2³ · 3² · 5 · 7 · 47

Class	r	Atkin-Lehner	Eigenvalues
118440a (2 curves)	1	2+ 3+ 5+ 7+ 47+	2+ 3+ 5+ 7+  0 -4  6 -6
Curve Equation t Generators 118440a1 [0,0,0,-39798,3054753] 2 [-71:2350:1] 118440a2 [0,0,0,-46143,2015442] 2 [522:10962:1]
118440b (1 curve)	1	2+ 3+ 5+ 7+ 47+	2+ 3+ 5+ 7+ -2  1  0  6
Curve Equation t Generators 118440b1 [0,0,0,10557,405918] 1 [51684:1481139:64]
118440c (1 curve)	2	2+ 3+ 5+ 7+ 47-	2+ 3+ 5+ 7+ -5  4 -6 -7
Curve Equation t Generators 118440c1 [0,0,0,57,-117] 1 [3:9:1]&[6:21:1]
118440d (1 curve)	1	2+ 3+ 5+ 7- 47-	2+ 3+ 5+ 7-  1 -6  0 -7
Curve Equation t Generators 118440d1 [0,0,0,-6723,3428703] 1 [66:1809:1]
118440e (2 curves)	1	2+ 3+ 5+ 7- 47-	2+ 3+ 5+ 7-  4  0  6  2
Curve Equation t Generators 118440e1 [0,0,0,-161838,-19647063] 2 [796:18865:1] 118440e2 [0,0,0,-2430783,-1458611982] 2 [2119:53900:1]
118440f (2 curves)	1	2+ 3+ 5+ 7- 47-	2+ 3+ 5+ 7- -4  4  2 -8
Curve Equation t Generators 118440f1 [0,0,0,57,2938] 2 [3:56:1] 118440f2 [0,0,0,-2763,54262] 2 [47:-168:1]
118440g (1 curve)	0	2+ 3+ 5- 7+ 47+	2+ 3+ 5- 7+  1 -6 -4  7
Curve Equation t 118440g1 [0,0,0,-104067,-12921641] 1
118440h (2 curves)	0	2+ 3+ 5- 7+ 47+	2+ 3+ 5- 7+  4  0  2  4
Curve Equation t 118440h1 [0,0,0,-262167,170524426] 2 118440h2 [0,0,0,-6491547,6353807014] 2
118440i (1 curve)	0	2+ 3+ 5- 7+ 47+	2+ 3+ 5- 7+  6 -1 -4  2
Curve Equation t 118440i1 [0,0,0,129453,8104014] 1
118440j (2 curves)	1	2+ 3+ 5- 7+ 47-	2+ 3+ 5- 7+  0  0  6 -2
Curve Equation t Generators 118440j1 [0,0,0,-222,-1111] 2 [-7:10:1] 118440j2 [0,0,0,-927,9746] 2 [-13:140:1]
118440k (2 curves)	1	2+ 3+ 5- 7+ 47-	2+ 3+ 5- 7+  0 -4  2 -6
Curve Equation t Generators 118440k1 [0,0,0,-13662,180441] 2 [12:135:1] 118440k2 [0,0,0,-172287,27495666] 2 [247:100:1]
118440l (2 curves)	1	2+ 3+ 5- 7- 47+	2+ 3+ 5- 7-  0  4  2  2
Curve Equation t Generators 118440l1 [0,0,0,-8622,302489] 2 [40:147:1] 118440l2 [0,0,0,-137247,19570514] 2 [215:28:1]
118440m (2 curves)	1	2+ 3+ 5- 7- 47+	2+ 3+ 5- 7-  0  4 -6 -2
Curve Equation t Generators 118440m1 [0,0,0,-29382,-1938519] 2 [237:2100:1] 118440m2 [0,0,0,-29487,-1923966] 2 [-102:150:1]
118440n (1 curve)	1	2+ 3+ 5- 7- 47+	2+ 3+ 5- 7-  3 -2  8 -1
Curve Equation t Generators 118440n1 [0,0,0,-27,-289] 1 [10:21:1]
118440o (1 curve)	1	2+ 3+ 5- 7- 47+	2+ 3+ 5- 7-  3  4 -6  1
Curve Equation t Generators 118440o1 [0,0,0,-8907,323559] 1 [55:7:1]
118440p (1 curve)	0	2+ 3- 5+ 7+ 47+	2+ 3- 5+ 7+  2  1  4  4
Curve Equation t 118440p1 [0,0,0,1058892,479216068] 1
118440q (6 curves)	0	2+ 3- 5+ 7+ 47+	2+ 3- 5+ 7+  4 -2 -2  4
Curve Equation t 118440q1 [0,0,0,-14612538,-21499907623] 2 118440q2 [0,0,0,-14612583,-21499768582] 4 118440q3 [0,0,0,-14215683,-22722776242] 2 118440q4 [0,0,0,-15010203,-20267862298] 4 118440q5 [0,0,0,19252797,-99367424098] 2 118440q6 [0,0,0,-55635123,137673701678] 2
118440r (2 curves)	0	2+ 3- 5+ 7+ 47+	2+ 3- 5+ 7+ -6 -4  6  4
Curve Equation t 118440r1 [0,0,0,-197643,91325558] 2 118440r2 [0,0,0,-4484163,3649994462] 2
118440s (2 curves)	1	2+ 3- 5+ 7+ 47-	2+ 3- 5+ 7+ -2  0  6  2
Curve Equation t Generators 118440s1 [0,0,0,1257,-133558] 2 [71:560:1] 118440s2 [0,0,0,-32763,-2181562] 2 [314:4300:1]
118440t (2 curves)	1	2+ 3- 5+ 7+ 47-	2+ 3- 5+ 7+ -6 -6  4  0
Curve Equation t Generators 118440t1 [0,0,0,-7383,199082] 2 [-94:250:1] 118440t2 [0,0,0,15117,1175582] 2 [79:-1692:1]
118440u (4 curves)	1	2+ 3- 5+ 7- 47+	2+ 3- 5+ 7-  0 -2 -6  4
Curve Equation t Generators 118440u1 [0,0,0,-24618,546257] 2 [1412:7535:64] 118440u2 [0,0,0,-319863,69574538] 4 [194:3850:1] 118440u3 [0,0,0,-246963,102131678] 2 [-113:11340:1] 118440u4 [0,0,0,-5116683,4454827382] 2 [1316890:684387:1000]
118440v (4 curves)	0	2+ 3- 5+ 7- 47-	2+ 3- 5+ 7-  0  2  6  4
Curve Equation t 118440v1 [0,0,0,-255783,-52117382] 2 118440v2 [0,0,0,-4145403,-3248607098] 4 118440v3 [0,0,0,-4198323,-3161405522] 2 118440v4 [0,0,0,-66326403,-207911150498] 2
118440w (1 curve)	2	2+ 3- 5+ 7- 47-	2+ 3- 5+ 7- -1 -2 -3  1
Curve Equation t Generators 118440w1 [0,0,0,-5513268,4982943908] 1 [-2711:2205:1]&[36318:23030:27]
118440x (1 curve)	2	2+ 3- 5+ 7- 47-	2+ 3- 5+ 7- -1 -2 -8  1
Curve Equation t Generators 118440x1 [0,0,0,-48963,-4178617] 1 [571:12411:1]&[1042:32805:1]
118440y (1 curve)	0	2+ 3- 5+ 7- 47-	2+ 3- 5+ 7- -1  4  2 -5
Curve Equation t 118440y1 [0,0,0,403197,-233605073] 1
118440z (1 curve)	0	2+ 3- 5+ 7- 47-	2+ 3- 5+ 7- -1 -4  6  5
Curve Equation t 118440z1 [0,0,0,-1623,-30053] 1
118440ba (2 curves)	0	2+ 3- 5+ 7- 47-	2+ 3- 5+ 7-  4  2 -2 -2
Curve Equation t 118440ba1 [0,0,0,94362,-5150063] 2 118440ba2 [0,0,0,-419583,-43284782] 2
118440bb (4 curves)	2	2+ 3- 5+ 7- 47-	2+ 3- 5+ 7- -4 -2 -2 -8
Curve Equation t Generators 118440bb1 [0,0,0,-4098,66953] 2 [76:441:1]&[-8:315:1] 118440bb2 [0,0,0,-59223,5546378] 4 [-101:3240:1]&[34:1890:1] 118440bb3 [0,0,0,-52923,6772358] 2 [-137:3384:1]&[122:1460:1] 118440bb4 [0,0,0,-947523,355003598] 2 [598:1494:1]&[886:14526:1]
118440bc (4 curves)	1	2+ 3- 5- 7+ 47+	2+ 3- 5- 7+  0  2  2 -4
Curve Equation t Generators 118440bc1 [0,0,0,-1287,15066] 2 [-18:180:1] 118440bc2 [0,0,0,-5787,-155034] 4 [-38:100:1] 118440bc3 [0,0,0,6813,-737154] 2 [466:10180:1] 118440bc4 [0,0,0,-90387,-10459314] 2 [32964:571095:64]
118440bd (4 curves)	1	2+ 3- 5- 7+ 47+	2+ 3- 5- 7+  4  6  6  0
Curve Equation t Generators 118440bd1 [0,0,0,-22602,1279721] 4 [-143:1260:1] 118440bd2 [0,0,0,-50727,-2539654] 4 [-73:880:1] 118440bd3 [0,0,0,160773,-18232954] 2 [2042:93940:1] 118440bd4 [0,0,0,-712227,-231286354] 2 [-31132:16445:64]
118440be (1 curve)	0	2+ 3- 5- 7+ 47-	2+ 3- 5- 7+  0 -3 -2  0
Curve Equation t 118440be1 [0,0,0,-23187,-1371634] 1
118440bf (4 curves)	0	2+ 3- 5- 7+ 47-	2+ 3- 5- 7+  4 -2 -2  4
Curve Equation t 118440bf1 [0,0,0,-4962,134521] 2 118440bf2 [0,0,0,-5367,111274] 4 118440bf3 [0,0,0,13533,719854] 4 118440bf4 [0,0,0,-30747,-1985114] 2
118440bg (2 curves)	0	2+ 3- 5- 7+ 47-	2+ 3- 5- 7+  6  0 -2  6
Curve Equation t 118440bg1 [0,0,0,1598073,449346746] 2 118440bg2 [0,0,0,-7477707,3867285494] 2
118440bh (1 curve)	0	2+ 3- 5- 7+ 47-	2+ 3- 5- 7+  6  3  0 -8
Curve Equation t 118440bh1 [0,0,0,-12612,-548476] 1
118440bi (4 curves)	0	2+ 3- 5- 7- 47+	2+ 3- 5- 7-  0 -2  2 -4
Curve Equation t 118440bi1 [0,0,0,-244002,46379009] 2 118440bi2 [0,0,0,-276807,33106106] 4 118440bi3 [0,0,0,865293,236171486] 4 118440bi4 [0,0,0,-1943787,-1019425066] 2
118440bj (1 curve)	2	2+ 3- 5- 7- 47+	2+ 3- 5- 7- -3 -2 -4 -1
Curve Equation t Generators 118440bj1 [0,0,0,-21027,1515071] 1 [-158:945:1]&[-145:1231:1]
118440bk (2 curves)	0	2+ 3- 5- 7- 47+	2+ 3- 5- 7-  6  4  6  2
Curve Equation t 118440bk1 [0,0,0,-42402,-3274679] 2 118440bk2 [0,0,0,10473,-10899254] 2
118440bl (4 curves)	1	2+ 3- 5- 7- 47-	2+ 3- 5- 7- -4  2 -6 -4
Curve Equation t Generators 118440bl1 [0,0,0,16998,556729] 2 [533:-12690:1] 118440bl2 [0,0,0,-82407,4870906] 4 [-78:3290:1] 118440bl3 [0,0,0,-615387,-182418266] 2 [-402:50:1] 118440bl4 [0,0,0,-1139907,468267406] 2 [647:1260:1]
118440bm (2 curves)	2	2- 3+ 5+ 7+ 47+	2- 3+ 5+ 7+  0  0 -6 -2
Curve Equation t Generators 118440bm1 [0,0,0,-1998,29997] 2 [-14:235:1]&[34:37:1] 118440bm2 [0,0,0,-8343,-263142] 2 [-59:154:1]&[-41:100:1]
118440bn (2 curves)	2	2- 3+ 5+ 7+ 47+	2- 3+ 5+ 7+  0 -4 -2 -6
Curve Equation t Generators 118440bn1 [0,0,0,-1518,-6683] 2 [-34:75:1]&[-7:60:1] 118440bn2 [0,0,0,-19143,-1018358] 2 [-81:28:1]&[-79:30:1]
118440bo (1 curve)	1	2- 3+ 5+ 7+ 47-	2- 3+ 5+ 7+ -1 -6  4  7
Curve Equation t Generators 118440bo1 [0,0,0,-936603,348884307] 1 [553:235:1]
118440bp (2 curves)	1	2- 3+ 5+ 7+ 47-	2- 3+ 5+ 7+ -4  0 -2  4
Curve Equation t Generators 118440bp1 [0,0,0,-2359503,-4604159502] 2 [4477:273070:1] 118440bp2 [0,0,0,-58423923,-171552789378] 2 [1156055:35171416:125]
118440bq (1 curve)	1	2- 3+ 5+ 7+ 47-	2- 3+ 5+ 7+ -6 -1  4  2
Curve Equation t Generators 118440bq1 [0,0,0,1165077,-218808378] 1 [8530103615441904:1147431533481367605:473093337088]
118440br (2 curves)	0	2- 3+ 5+ 7- 47-	2- 3+ 5+ 7-  0  4 -2  2
Curve Equation t 118440br1 [0,0,0,-77598,-8167203] 2 118440br2 [0,0,0,-1235223,-528403878] 2
118440bs (2 curves)	0	2- 3+ 5+ 7- 47-	2- 3+ 5+ 7-  0  4  6 -2
Curve Equation t 118440bs1 [0,0,0,-264438,52340013] 2 118440bs2 [0,0,0,-265383,51947082] 2
118440bt (1 curve)	2	2- 3+ 5+ 7- 47-	2- 3+ 5+ 7- -3 -2 -8 -1
Curve Equation t Generators 118440bt1 [0,0,0,-243,7803] 1 [-23:35:1]&[33:189:1]
118440bu (1 curve)	0	2- 3+ 5+ 7- 47-	2- 3+ 5+ 7- -3  4  6  1
Curve Equation t 118440bu1 [0,0,0,-80163,-8736093] 1
118440bv (1 curve)	1	2- 3+ 5- 7+ 47+	2- 3+ 5- 7+  5  4  6 -7
Curve Equation t Generators 118440bv1 [0,0,0,513,3159] 1 [18:135:1]
118440bw (2 curves)	2	2- 3+ 5- 7+ 47-	2- 3+ 5- 7+  0 -4 -6 -6
Curve Equation t Generators 118440bw1 [0,0,0,-4422,-113139] 2 [-38:5:1]&[82:275:1] 118440bw2 [0,0,0,-5127,-74646] 2 [-27:210:1]&[-57:180:1]
118440bx (1 curve)	0	2- 3+ 5- 7+ 47-	2- 3+ 5- 7+  2  1  0  6
Curve Equation t 118440bx1 [0,0,0,1173,-15034] 1
118440by (1 curve)	2	2- 3+ 5- 7- 47+	2- 3+ 5- 7- -1 -6  0 -7
Curve Equation t Generators 118440by1 [0,0,0,-747,-126989] 1 [57:125:1]&[62:255:1]
118440bz (2 curves)	0	2- 3+ 5- 7- 47+	2- 3+ 5- 7-  4  4 -2 -8
Curve Equation t 118440bz1 [0,0,0,513,-79326] 2 118440bz2 [0,0,0,-24867,-1465074] 2
118440ca (2 curves)	2	2- 3+ 5- 7- 47+	2- 3+ 5- 7- -4  0 -6  2
Curve Equation t Generators 118440ca1 [0,0,0,-17982,727669] 2 [-102:1225:1]&[38:315:1] 118440ca2 [0,0,0,-270087,54022666] 2 [8859:-23030:27]&[-403:9870:1]
118440cb (2 curves)	1	2- 3- 5+ 7+ 47+	2- 3- 5+ 7+  4 -6  6  6
Curve Equation t Generators 118440cb1 [0,0,0,-318,317] 2 [-14:45:1] 118440cb2 [0,0,0,1257,2522] 2 [7:108:1]
118440cc (2 curves)	2	2- 3- 5+ 7+ 47-	2- 3- 5+ 7+  2 -4 -2 -2
Curve Equation t Generators 118440cc1 [0,0,0,40197777,50723179922] 2 [-1211:16362:1]&[2171:385000:1] 118440cc2 [0,0,0,-183007443,431020233758] 2 [-11149:1041896:1]&[-82894:8817435:8]
118440cd (1 curve)	2	2- 3- 5+ 7+ 47-	2- 3- 5+ 7+ -3 -4 -2  3
Curve Equation t Generators 118440cd1 [0,0,0,1257,-313] 1 [49:423:1]&[97:1017:1]
118440ce (2 curves)	2	2- 3- 5+ 7+ 47-	2- 3- 5+ 7+ -4  2 -2 -2
Curve Equation t Generators 118440ce1 [0,0,0,-318,4853] 2 [-14:81:1]&[2:65:1] 118440ce2 [0,0,0,-6663,209162] 2 [31:180:1]&[-59:630:1]
118440cf (2 curves)	0	2- 3- 5+ 7- 47+	2- 3- 5+ 7-  4 -2 -6 -2
Curve Equation t 118440cf1 [0,0,0,-31638,2110813] 2 118440cf2 [0,0,0,7737,7016938] 2
118440cg (1 curve)	2	2- 3- 5- 7+ 47+	2- 3- 5- 7+ -4 -3 -6  2
Curve Equation t Generators 118440cg1 [0,0,0,66228,2354564] 1 [-32:450:1]&[368:8750:1]
118440ch (2 curves)	2	2- 3- 5- 7+ 47+	2- 3- 5- 7+ -4 -6  6  2
Curve Equation t Generators 118440ch1 [0,0,0,-3702,95069] 2 [10:243:1]&[50:187:1] 118440ch2 [0,0,0,-60807,5771306] 2 [145:-54:1]&[-233:2700:1]
118440ci (2 curves)	1	2- 3- 5- 7+ 47-	2- 3- 5- 7+  0 -2 -6  2
Curve Equation t Generators 118440ci1 [0,0,0,-4707,-504306] 2 [195:2448:1] 118440ci2 [0,0,0,-128187,-17618634] 2 [3618:32895:8]
118440cj (2 curves)	1	2- 3- 5- 7- 47+	2- 3- 5- 7-  0 -6  2  6
Curve Equation t Generators 118440cj1 [0,0,0,2013,82766] 2 [67:720:1] 118440cj2 [0,0,0,-20667,1003574] 2 [-130:1222:1]
118440ck (1 curve)	1	2- 3- 5- 7- 47+	2- 3- 5- 7-  3 -6  7 -5
Curve Equation t Generators 118440ck1 [0,0,0,-11892,-793676] 1 [668:17010:1]
118440cl (4 curves)	1	2- 3- 5- 7- 47+	2- 3- 5- 7- -4  2  2  0
Curve Equation t Generators 118440cl1 [0,0,0,-10722,427061] 4 [62:25:1] 118440cl2 [0,0,0,-12927,238754] 4 [-107:630:1] 118440cl3 [0,0,0,46293,1814006] 2 [-13:1100:1] 118440cl4 [0,0,0,-107427,-13388146] 2 [-197:360:1]
118440cm (2 curves)	1	2- 3- 5- 7- 47+	2- 3- 5- 7- -4  6  0 -4
Curve Equation t Generators 118440cm1 [0,0,0,-867,-9074] 2 [635:15984:1] 118440cm2 [0,0,0,933,-41834] 2 [17130:431938:27]
118440cn (2 curves)	0	2- 3- 5- 7- 47-	2- 3- 5- 7-  2  2  4 -4
Curve Equation t 118440cn1 [0,0,0,-79887,8690834] 2 118440cn2 [0,0,0,-78987,8896214] 2
118440co (2 curves)	0	2- 3- 5- 7- 47-	2- 3- 5- 7- -2  2  0 -4
Curve Equation t 118440co1 [0,0,0,-78447,-8446286] 2 118440co2 [0,0,0,-55947,-13391786] 2

Data from Elliptic Curve Data by J. E. Cremona.
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