Cremona's table of elliptic curves

122670 = 2 · 3² · 5 · 29 · 47

Class	r	Atkin-Lehner	Eigenvalues
122670a (2 curves)	0	2+ 3+ 5+ 29+ 47-	2+ 3+ 5+  4  6 -4  6  4
Curve Equation t 122670a1 [1,-1,0,-135,425] 2 122670a2 [1,-1,0,-885,-9625] 2
122670b (2 curves)	2	2+ 3+ 5+ 29- 47+	2+ 3+ 5+ -2  0 -2 -6  4
Curve Equation t Generators 122670b1 [1,-1,0,-12360,-525824] 2 [152:968:1]&[297:4535:1] 122670b2 [1,-1,0,-12480,-515000] 2 [-67:164:1]&[-474:1177:8]
122670c (1 curve)	1	2+ 3+ 5+ 29- 47-	2+ 3+ 5+  0 -2  1 -3 -5
Curve Equation t Generators 122670c1 [1,-1,0,-688774065,-6957982155619] 1 [1040570007978725069:125884096859364660903:27508053749203]
122670d (2 curves)	1	2+ 3+ 5+ 29- 47-	2+ 3+ 5+  4  0 -6  6  4
Curve Equation t Generators 122670d1 [1,-1,0,-3285,166241] 2 [20:319:1] 122670d2 [1,-1,0,-69555,7071575] 2 [161:84:1]
122670e (2 curves)	0	2+ 3+ 5- 29+ 47+	2+ 3+ 5-  2  0  2 -6  8
Curve Equation t 122670e1 [1,-1,0,-27279,-1648915] 2 122670e2 [1,-1,0,-430959,-108785587] 2
122670f (2 curves)	0	2+ 3+ 5- 29+ 47+	2+ 3+ 5-  2 -4  6 -6  0
Curve Equation t 122670f1 [1,-1,0,-7851189,8461550773] 2 122670f2 [1,-1,0,-9817269,3899065525] 2
122670g (2 curves)	1	2+ 3+ 5- 29- 47+	2+ 3+ 5-  4  0  4  2 -4
Curve Equation t Generators 122670g1 [1,-1,0,-489,13005] 2 [19:92:1] 122670g2 [1,-1,0,-11769,493533] 2 [39:285:1]
122670h (1 curve)	0	2+ 3+ 5- 29- 47-	2+ 3+ 5- -4  2 -3  1  1
Curve Equation t 122670h1 [1,-1,0,1956,-46000] 1
122670i (2 curves)	0	2+ 3+ 5- 29- 47-	2+ 3+ 5- -4 -2  4  6 -4
Curve Equation t 122670i1 [1,-1,0,-645234,-199329760] 2 122670i2 [1,-1,0,-651984,-194940910] 2
122670j (1 curve)	0	2+ 3- 5+ 29+ 47+	2+ 3- 5+ -4 -6 -4  3  8
Curve Equation t 122670j1 [1,-1,0,-465,-7075] 1
122670k (1 curve)	0	2+ 3- 5+ 29+ 47+	2+ 3- 5+  5 -3 -4  6 -4
Curve Equation t 122670k1 [1,-1,0,-6113130,5848447076] 1
122670l (1 curve)	1	2+ 3- 5+ 29+ 47-	2+ 3- 5+ -3  5 -7  4 -5
Curve Equation t Generators 122670l1 [1,-1,0,-5355,-95675] 1 [-42:253:1]
122670m (2 curves)	1	2+ 3- 5+ 29- 47+	2+ 3- 5+  2 -2  2  2  8
Curve Equation t Generators 122670m1 [1,-1,0,-8242695,-15943537859] 2 [783475419625782407865:-20626928360172374363047:202641610705759863] 122670m2 [1,-1,0,-157747815,-762243195875] 2 [-416302328580083:-236322100014674:56578878719]
122670n (2 curves)	1	2+ 3- 5+ 29- 47+	2+ 3- 5+ -2  2  0  2  0
Curve Equation t Generators 122670n1 [1,-1,0,-64665,6243885] 2 [-63:3204:1] 122670n2 [1,-1,0,-133785,-9391059] 2 [583:10221:1]
122670o (2 curves)	1	2+ 3- 5+ 29- 47+	2+ 3- 5+ -4 -4  2  2 -6
Curve Equation t Generators 122670o1 [1,-1,0,14985,3199581] 2 [27:-1917:1] 122670o2 [1,-1,0,-255735,46568925] 2 [-315:9945:1]
122670p (1 curve)	0	2+ 3- 5+ 29- 47-	2+ 3- 5+  1  3  0  6  4
Curve Equation t 122670p1 [1,-1,0,27885,-1600075] 1
122670q (1 curve)	2	2+ 3- 5+ 29- 47-	2+ 3- 5+ -1 -3 -6  6 -4
Curve Equation t Generators 122670q1 [1,-1,0,-720,7996] 1 [18:16:1]&[-7:116:1]
122670r (2 curves)	2	2+ 3- 5+ 29- 47-	2+ 3- 5+  2  0 -6 -6 -4
Curve Equation t Generators 122670r1 [1,-1,0,-9090,-496364] 2 [197:2210:1]&[24692:3867590:1] 122670r2 [1,-1,0,-164610,-25659500] 2 [-235:185:1]&[3790:10795:8]
122670s (4 curves)	0	2+ 3- 5+ 29- 47-	2+ 3- 5+  2  6  2  6  2
Curve Equation t 122670s1 [1,-1,0,-496620,-134578800] 2 122670s2 [1,-1,0,-513540,-124903944] 2 122670s3 [1,-1,0,-828720,67018860] 6 122670s4 [1,-1,0,-10172790,12474075006] 6
122670t (2 curves)	2	2+ 3- 5+ 29- 47-	2+ 3- 5+ -2 -6 -2 -2 -2
Curve Equation t Generators 122670t1 [1,-1,0,-2565,48865] 2 [-4:245:1]&[23:29:1] 122670t2 [1,-1,0,-40635,3162991] 2 [113:11:1]&[-67:2396:1]
122670u (2 curves)	1	2+ 3- 5- 29+ 47+	2+ 3- 5-  2  2  0 -6  0
Curve Equation t Generators 122670u1 [1,-1,0,-60219,-5672687] 2 [584:12281:1] 122670u2 [1,-1,0,-62649,-5188145] 2 [-169:827:1]
122670v (2 curves)	1	2+ 3- 5- 29+ 47+	2+ 3- 5-  2 -2 -2  6  2
Curve Equation t Generators 122670v1 [1,-1,0,-10629,233685] 2 [186:-2253:1] 122670v2 [1,-1,0,-78309,-8253387] 2 [-143:144:1]
122670w (2 curves)	0	2+ 3- 5- 29+ 47-	2+ 3- 5-  2  0 -4  3  2
Curve Equation t 122670w1 [1,-1,0,126,8748] 1 122670w2 [1,-1,0,-28584,1867590] 3
122670x (2 curves)	0	2+ 3- 5- 29+ 47-	2+ 3- 5-  2 -2  4  2  0
Curve Equation t 122670x1 [1,-1,0,-223298142939,-40613945388123227] 2 122670x2 [1,-1,0,-223450829019,-40555622450896475] 2
122670y (2 curves)	2	2+ 3- 5- 29+ 47-	2+ 3- 5- -4 -4  2  2 -8
Curve Equation t Generators 122670y1 [1,-1,0,-14454,584928] 2 [-1074:2967:8]&[-93:1104:1] 122670y2 [1,-1,0,23616,3120390] 2 [-59:1262:1]&[-39:1482:1]
122670z (1 curve)	0	2+ 3- 5- 29- 47+	2+ 3- 5-  4 -2  0  3  0
Curve Equation t 122670z1 [1,-1,0,-1766664,904256320] 1
122670ba (4 curves)	1	2+ 3- 5- 29- 47-	2+ 3- 5-  0 -4  2  6 -4
Curve Equation t Generators 122670ba1 [1,-1,0,846,11988] 2 [-11:41:1] 122670ba2 [1,-1,0,-5634,124740] 4 [-81:252:1] 122670ba3 [1,-1,0,-31014,-1991952] 2 [207:549:1] 122670ba4 [1,-1,0,-83934,9379800] 4 [169:-66:1]
122670bb (1 curve)	1	2+ 3- 5- 29- 47-	2+ 3- 5- -3 -1 -4 -6 -4
Curve Equation t Generators 122670bb1 [1,-1,0,-770211414,-8227690407180] 1 [281916:148789602:1]
122670bc (2 curves)	0	2- 3+ 5+ 29+ 47+	2- 3+ 5+ -4  2  4 -6 -4
Curve Equation t 122670bc1 [1,-1,1,-71693,7406481] 2 122670bc2 [1,-1,1,-72443,7244181] 2
122670bd (1 curve)	2	2- 3+ 5+ 29+ 47+	2- 3+ 5+ -4 -2 -3 -1  1
Curve Equation t Generators 122670bd1 [1,-1,1,217,1631] 1 [-42:161:8]&[-5:22:1]
122670be (2 curves)	1	2- 3+ 5+ 29+ 47-	2- 3+ 5+  4  0  4 -2 -4
Curve Equation t Generators 122670be1 [1,-1,1,-4403,-346733] 2 [145:1358:1] 122670be2 [1,-1,1,-105923,-13219469] 2 [521:8272:1]
122670bf (2 curves)	0	2- 3+ 5+ 29- 47-	2- 3+ 5+  2  0  2  6  8
Curve Equation t 122670bf1 [1,-1,1,-245513,44766217] 2 122670bf2 [1,-1,1,-3878633,2941089481] 2
122670bg (2 curves)	0	2- 3+ 5+ 29- 47-	2- 3+ 5+  2  4  6  6  0
Curve Equation t 122670bg1 [1,-1,1,-70660703,-228391210169] 2 122670bg2 [1,-1,1,-88355423,-105186413753] 2
122670bh (1 curve)	1	2- 3+ 5- 29+ 47+	2- 3+ 5-  0  2  1  3 -5
Curve Equation t Generators 122670bh1 [1,-1,1,-76530452,257728552951] 1 [5101:4949:1]
122670bi (2 curves)	1	2- 3+ 5- 29+ 47+	2- 3+ 5-  4  0 -6 -6  4
Curve Equation t Generators 122670bi1 [1,-1,1,-29567,-4458941] 2 [406024:10900517:512] 122670bi2 [1,-1,1,-625997,-190306529] 2 [25438:1372027:8]
122670bj (2 curves)	0	2- 3+ 5- 29+ 47-	2- 3+ 5- -2  0 -2  6  4
Curve Equation t 122670bj1 [1,-1,1,-111242,14308489] 2 122670bj2 [1,-1,1,-112322,14017321] 2
122670bk (2 curves)	0	2- 3+ 5- 29- 47+	2- 3+ 5-  4 -6 -4 -6  4
Curve Equation t 122670bk1 [1,-1,1,-1217,-10259] 2 122670bk2 [1,-1,1,-7967,267841] 2
122670bl (4 curves)	1	2- 3- 5+ 29+ 47+	2- 3- 5+ -4  4 -6  2 -8
Curve Equation t Generators 122670bl1 [1,-1,1,-783923,-264678253] 2 [-525:1666:1] 122670bl2 [1,-1,1,-1389443,201087731] 4 [4521:291526:1] 122670bl3 [1,-1,1,5234737,1560369467] 2 [113889:8424580:27] 122670bl4 [1,-1,1,-17701943,28643562731] 2 [151541361:7817569816:29791]
122670bm (4 curves)	0	2- 3- 5+ 29+ 47-	2- 3- 5+  0  0 -2 -6  0
Curve Equation t 122670bm1 [1,-1,1,-3449571368,-76842061973269] 2 122670bm2 [1,-1,1,-6962941688,106151128469867] 4 122670bm3 [1,-1,1,24101120812,793834918469867] 2 122670bm4 [1,-1,1,-94240929308,11129989366386731] 2
122670bn (2 curves)	0	2- 3- 5+ 29+ 47-	2- 3- 5+  2 -2  4 -2  0
Curve Equation t 122670bn1 [1,-1,1,-265069778,1661123184081] 2 122670bn2 [1,-1,1,-258572498,1746414278097] 2
122670bo (2 curves)	0	2- 3- 5+ 29+ 47-	2- 3- 5+  2  4 -2 -2  0
Curve Equation t 122670bo1 [1,-1,1,-74093,-3511083] 2 122670bo2 [1,-1,1,259987,-26629419] 2
122670bp (2 curves)	0	2- 3- 5+ 29+ 47-	2- 3- 5+ -2  2  0  6 -8
Curve Equation t 122670bp1 [1,-1,1,-21173,-1152579] 2 122670bp2 [1,-1,1,4207,-3761643] 2
122670bq (2 curves)	0	2- 3- 5+ 29- 47+	2- 3- 5+ -1  3  5  0  5
Curve Equation t 122670bq1 [1,-1,1,-41251073,-76112871919] 1 122670bq2 [1,-1,1,-1158235448,15167091334331] 3
122670br (2 curves)	0	2- 3- 5+ 29- 47+	2- 3- 5+ -2  2 -6  2 -6
Curve Equation t 122670br1 [1,-1,1,-516173,-129593419] 2 122670br2 [1,-1,1,-1886693,855536357] 2
122670bs (2 curves)	0	2- 3- 5+ 29- 47+	2- 3- 5+ -2 -2  0  6  0
Curve Equation t 122670bs1 [1,-1,1,-159728,-24178413] 2 122670bs2 [1,-1,1,-2545448,-1562490669] 2
122670bt (1 curve)	2	2- 3- 5+ 29- 47+	2- 3- 5+ -2 -2 -3 -5 -5
Curve Equation t Generators 122670bt1 [1,-1,1,-591683,180600131] 1 [-885:3682:1]&[475:2322:1]
122670bu (2 curves)	2	2- 3- 5+ 29- 47+	2- 3- 5+ -2 -2 -6 -2  4
Curve Equation t Generators 122670bu1 [1,-1,1,1237,-52549] 2 [63:-554:1]&[33:136:1] 122670bu2 [1,-1,1,-15683,-681973] 2 [273:-4052:1]&[-546:2339:8]
122670bv (2 curves)	0	2- 3- 5+ 29- 47+	2- 3- 5+  4  0 -2  6 -2
Curve Equation t 122670bv1 [1,-1,1,2542,-47919] 2 122670bv2 [1,-1,1,-14378,-440463] 2
122670bw (2 curves)	1	2- 3- 5+ 29- 47-	2- 3- 5+  2 -2 -4  6  4
Curve Equation t Generators 122670bw1 [1,-1,1,-11067368,-7962075993] 2 [178069936404407550800603152:6772916964345440962131362325:40406204820990251995136] 122670bw2 [1,-1,1,-154556438,-739297167969] 2 [961787012370250:74977661635406067:55132330616]
122670bx (1 curve)	1	2- 3- 5+ 29- 47-	2- 3- 5+ -3 -1 -4 -6  4
Curve Equation t Generators 122670bx1 [1,-1,1,9922,464639181] 1 [-295:-20733:1]
122670by (1 curve)	0	2- 3- 5- 29+ 47+	2- 3- 5- -1 -3 -3  0 -1
Curve Equation t 122670by1 [1,-1,1,-1967,-1749] 1
122670bz (1 curve)	0	2- 3- 5- 29+ 47+	2- 3- 5-  2  0  0 -3  2
Curve Equation t 122670bz1 [1,-1,1,-75722,-8007159] 1
122670ca (2 curves)	0	2- 3- 5- 29+ 47+	2- 3- 5-  2 -4 -2  6  4
Curve Equation t 122670ca1 [1,-1,1,18823,-2128971] 2 122670ca2 [1,-1,1,-178007,-24882519] 2
122670cb (1 curve)	0	2- 3- 5- 29+ 47+	2- 3- 5- -3  5  4  6  4
Curve Equation t 122670cb1 [1,-1,1,898,-44099] 1
122670cc (2 curves)	1	2- 3- 5- 29+ 47-	2- 3- 5-  2 -2 -2  2  6
Curve Equation t Generators 122670cc1 [1,-1,1,-1924232,1023160011] 2 [-1411:31161:1] 122670cc2 [1,-1,1,-3007112,-257237301] 2 [-1507:29913:1]
122670cd (2 curves)	1	2- 3- 5- 29+ 47-	2- 3- 5-  2 -6 -1  3 -7
Curve Equation t Generators 122670cd1 [1,-1,1,-392,-51091] 1 [342:581:8] 122670cd2 [1,-1,1,3523,1377101] 3 [-99:274:1]
122670ce (2 curves)	1	2- 3- 5- 29+ 47-	2- 3- 5- -2  2  6  2 -2
Curve Equation t Generators 122670ce1 [1,-1,1,-2491997,-1513026651] 2 [-113345:140364:125] 122670ce2 [1,-1,1,-39868277,-96882342699] 2 [-606468445:302796984:166375]
122670cf (1 curve)	1	2- 3- 5- 29+ 47-	2- 3- 5-  3 -1  1 -6  1
Curve Equation t Generators 122670cf1 [1,-1,1,-18587,-868661] 1 [-61:218:1]
122670cg (1 curve)	1	2- 3- 5- 29+ 47-	2- 3- 5-  3 -1  5 -6 -7
Curve Equation t Generators 122670cg1 [1,-1,1,-94725572,-354829714329] 1 [-5619:2829:1]
122670ch (4 curves)	1	2- 3- 5- 29- 47+	2- 3- 5-  0  0  2  2  4
Curve Equation t Generators 122670ch1 [1,-1,1,-482252,129004751] 4 [411:109:1] 122670ch2 [1,-1,1,-528332,102905039] 4 [-483:15901:1] 122670ch3 [1,-1,1,1434388,687010511] 2 [81:28309:1] 122670ch4 [1,-1,1,-3228332,-2152134961] 2 [-983:8901:1]
122670ci (2 curves)	0	2- 3- 5- 29- 47-	2- 3- 5-  0 -2  0 -6  4
Curve Equation t 122670ci1 [1,-1,1,-707,-6861] 2 122670ci2 [1,-1,1,193,-23781] 2
122670cj (2 curves)	0	2- 3- 5- 29- 47-	2- 3- 5-  0  6  4 -6  8
Curve Equation t 122670cj1 [1,-1,1,-60602,5745129] 2 122670cj2 [1,-1,1,-38102,10047129] 2
122670ck (2 curves)	0	2- 3- 5- 29- 47-	2- 3- 5-  2  4  2  6  4
Curve Equation t 122670ck1 [1,-1,1,-2957,-57819] 2 122670ck2 [1,-1,1,2263,-243651] 2
122670cl (1 curve)	0	2- 3- 5- 29- 47-	2- 3- 5- -4  2  0 -7 -4
Curve Equation t 122670cl1 [1,-1,1,193,-939] 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
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