Cremona's table of elliptic curves

17472 = 2⁶ · 3 · 7 · 13

Class	r	Atkin-Lehner	Eigenvalues
17472a (4 curves)	1	2+ 3+ 7+ 13+	2+ 3+  2 7+  4 13+ -2  4
Curve Equation t Generators 17472a1 [0,-1,0,-3617,-80223] 2 [-37790:32681:1000] 17472a2 [0,-1,0,-8737,203425] 4 [-96:385:1] 17472a3 [0,-1,0,-125217,17093025] 2 [3232:182655:1] 17472a4 [0,-1,0,25823,1385377] 2 [402855:22895444:125]
17472b (2 curves)	0	2+ 3+ 7+ 13-	2+ 3+  0 7+  2 13- -2  0
Curve Equation t 17472b1 [0,-1,0,2067,-28899] 2 17472b2 [0,-1,0,-10673,-250575] 2
17472c (1 curve)	0	2+ 3+ 7+ 13-	2+ 3+ -1 7+  2 13-  0 -1
Curve Equation t 17472c1 [0,-1,0,10159,-1269621] 1
17472d (1 curve)	0	2+ 3+ 7+ 13-	2+ 3+ -1 7+ -3 13-  5 -1
Curve Equation t 17472d1 [0,-1,0,-481,-4511] 1
17472e (2 curves)	0	2+ 3+ 7+ 13-	2+ 3+  2 7+  0 13- -4  8
Curve Equation t 17472e1 [0,-1,0,203,1813] 2 17472e2 [0,-1,0,-1617,21105] 2
17472f (1 curve)	0	2+ 3+ 7+ 13-	2+ 3+  3 7+ -3 13-  1  3
Curve Equation t 17472f1 [0,-1,0,-449,8097] 1
17472g (2 curves)	0	2+ 3+ 7- 13+	2+ 3+  0 7-  6 13+  8 -4
Curve Equation t 17472g1 [0,-1,0,-1568,24426] 2 17472g2 [0,-1,0,-1433,28665] 2
17472h (6 curves)	0	2+ 3+ 7- 13+	2+ 3+  2 7-  4 13+  2  4
Curve Equation t 17472h1 [0,-1,0,-957,11277] 2 17472h2 [0,-1,0,-2577,-35055] 4 17472h3 [0,-1,0,-37857,-2822175] 4 17472h4 [0,-1,0,6783,-239103] 2 17472h5 [0,-1,0,-605697,-181237503] 2 17472h6 [0,-1,0,-34497,-3347007] 2
17472i (3 curves)	0	2+ 3+ 7- 13+	2+ 3+ -3 7- -3 13+ -3  7
Curve Equation t 17472i1 [0,-1,0,863,92449] 1 17472i2 [0,-1,0,-7777,-2525471] 1 17472i3 [0,-1,0,-1667617,-828339551] 1
17472j (2 curves)	1	2+ 3+ 7- 13-	2+ 3+  0 7-  2 13- -6  8
Curve Equation t Generators 17472j1 [0,-1,0,-41293,3329245] 2 [108:343:1] 17472j2 [0,-1,0,-665553,209210193] 2 [-501:20412:1]
17472k (1 curve)	1	2+ 3+ 7- 13-	2+ 3+  1 7-  1 13- -5 -3
Curve Equation t Generators 17472k1 [0,-1,0,-50785,-5220191] 1 [23115:649144:27]
17472l (1 curve)	1	2+ 3+ 7- 13-	2+ 3+  1 7- -4 13-  0  7
Curve Equation t Generators 17472l1 [0,-1,0,-3855,93429] 1 [60:273:1]
17472m (2 curves)	1	2+ 3+ 7- 13-	2+ 3+  1 7- -5 13- -3  1
Curve Equation t Generators 17472m1 [0,-1,0,45695,-42494591] 1 [1121:37632:1] 17472m2 [0,-1,0,-235167745,-1388002409471] 1 [18305:663648:1]
17472n (4 curves)	1	2+ 3+ 7- 13-	2+ 3+ -2 7-  4 13- -2  0
Curve Equation t Generators 17472n1 [0,-1,0,-124,574] 2 [43:270:1] 17472n2 [0,-1,0,-169,169] 4 [-11:24:1] 17472n3 [0,-1,0,-1729,-26975] 2 [-24:11:1] 17472n4 [0,-1,0,671,673] 2 [3:52:1]
17472o (4 curves)	1	2+ 3+ 7- 13-	2+ 3+ -2 7-  4 13-  6  4
Curve Equation t Generators 17472o1 [0,-1,0,-449,-3135] 2 [-70:55:8] 17472o2 [0,-1,0,-1729,24769] 4 [-8:195:1] 17472o3 [0,-1,0,-26689,1687105] 4 [120:445:1] 17472o4 [0,-1,0,2751,127809] 2 [-15:288:1]
17472p (4 curves)	1	2+ 3+ 7- 13-	2+ 3+ -2 7- -4 13-  6 -4
Curve Equation t Generators 17472p1 [0,-1,0,-160529,-24702447] 2 [1369:48160:1] 17472p2 [0,-1,0,-160609,-24676511] 4 [-237:140:1] 17472p3 [0,-1,0,-216769,-5840447] 4 [5379:392980:1] 17472p4 [0,-1,0,-105729,-41853951] 2 [785:18928:1]
17472q (1 curve)	1	2+ 3+ 7- 13-	2+ 3+  3 7-  2 13-  0 -7
Curve Equation t Generators 17472q1 [0,-1,0,91,381] 1 [20:99:1]
17472r (1 curve)	1	2+ 3+ 7- 13-	2+ 3+ -3 7-  0 13-  0 -5
Curve Equation t Generators 17472r1 [0,-1,0,-7,-11] 1 [4:3:1]
17472s (1 curve)	1	2+ 3+ 7- 13-	2+ 3+ -3 7- -5 13-  1  5
Curve Equation t Generators 17472s1 [0,-1,0,1183,-6591] 1 [13:104:1]
17472t (2 curves)	0	2+ 3- 7+ 13+	2+ 3-  0 7+ -6 13+  8  4
Curve Equation t 17472t1 [0,1,0,-1568,-24426] 2 17472t2 [0,1,0,-1433,-28665] 2
17472u (1 curve)	0	2+ 3- 7+ 13+	2+ 3-  1 7+  1 13+ -1 -7
Curve Equation t 17472u1 [0,1,0,-6945,-228033] 1
17472v (1 curve)	0	2+ 3- 7+ 13+	2+ 3-  1 7+ -2 13+ -4 -1
Curve Equation t 17472v1 [0,1,0,-7925,679251] 1
17472w (4 curves)	0	2+ 3- 7+ 13+	2+ 3- -2 7+  0 13+ -6  4
Curve Equation t 17472w1 [0,1,0,-29,-3165] 2 17472w2 [0,1,0,-3409,-76849] 4 17472w3 [0,1,0,-54369,-4897665] 2 17472w4 [0,1,0,-6529,82271] 2
17472x (2 curves)	1	2+ 3- 7+ 13-	2+ 3-  0 7+  2 13-  4 -4
Curve Equation t Generators 17472x1 [0,1,0,-1253,32715] 2 [7:156:1] 17472x2 [0,1,0,-24913,1504367] 2 [-19:1404:1]
17472y (2 curves)	1	2+ 3- 7+ 13-	2+ 3-  0 7+ -2 13- -2  0
Curve Equation t Generators 17472y1 [0,1,0,-813,8595] 2 [6:63:1] 17472y2 [0,1,0,-273,20367] 2 [18:147:1]
17472z (1 curve)	1	2+ 3- 7+ 13-	2+ 3-  1 7+ -1 13- -5  3
Curve Equation t Generators 17472z1 [0,1,0,-50785,5220191] 1 [695:17496:1]
17472ba (1 curve)	1	2+ 3- 7+ 13-	2+ 3-  1 7+  4 13-  0 -7
Curve Equation t Generators 17472ba1 [0,1,0,-3855,-93429] 1 [330:5889:1]
17472bb (4 curves)	1	2+ 3- 7+ 13-	2+ 3- -2 7+ -4 13- -2  0
Curve Equation t Generators 17472bb1 [0,1,0,-124,-574] 2 [106:135:8] 17472bb2 [0,1,0,-169,-169] 4 [-5:24:1] 17472bb3 [0,1,0,-1729,26975] 2 [34:93:1] 17472bb4 [0,1,0,671,-673] 2 [37:276:1]
17472bc (1 curve)	1	2+ 3- 7+ 13-	2+ 3- -3 7+  0 13-  0  5
Curve Equation t Generators 17472bc1 [0,1,0,-7,11] 1 [2:3:1]
17472bd (1 curve)	1	2+ 3- 7+ 13-	2+ 3- -3 7+ -1 13-  7 -1
Curve Equation t Generators 17472bd1 [0,1,0,-6430977,-6315217569] 1 [9963:958464:1]
17472be (1 curve)	1	2+ 3- 7+ 13-	2+ 3- -3 7+  5 13-  1 -5
Curve Equation t Generators 17472be1 [0,1,0,1183,6591] 1 [91:936:1]
17472bf (1 curve)	1	2+ 3- 7- 13+	2+ 3-  1 7-  2 13+ -4 -3
Curve Equation t Generators 17472bf1 [0,1,0,-105,441] 1 [0:21:1]
17472bg (1 curve)	1	2+ 3- 7- 13+	2+ 3- -1 7- -5 13+  3 -1
Curve Equation t Generators 17472bg1 [0,1,0,-1,863] 1 [11:48:1]
17472bh (6 curves)	1	2+ 3- 7- 13+	2+ 3-  2 7-  4 13+ -6 -4
Curve Equation t Generators 17472bh1 [0,1,0,2883,-241533] 2 [54:273:1] 17472bh2 [0,1,0,-45137,-3439665] 4 [-107:420:1] 17472bh3 [0,1,0,-707617,-229345345] 4 [1538:48195:1] 17472bh4 [0,1,0,-150977,18553887] 2 [397:4620:1] 17472bh5 [0,1,0,-11321857,-14666834593] 2 [5282:270045:1] 17472bh6 [0,1,0,-693057,-239219937] 2 [589305:39784284:125]
17472bi (1 curve)	0	2+ 3- 7- 13-	2+ 3- -1 7-  6 13- -8 -3
Curve Equation t 17472bi1 [0,1,0,-1461,-22509] 1
17472bj (2 curves)	0	2+ 3- 7- 13-	2+ 3-  2 7-  0 13-  4  0
Curve Equation t 17472bj1 [0,1,0,-117,507] 2 17472bj2 [0,1,0,-1937,32175] 2
17472bk (4 curves)	0	2+ 3- 7- 13-	2+ 3- -2 7-  4 13-  2 -4
Curve Equation t 17472bk1 [0,1,0,-369,2607] 2 17472bk2 [0,1,0,-449,1311] 4 17472bk3 [0,1,0,-3809,-90753] 2 17472bk4 [0,1,0,1631,11711] 4
17472bl (1 curve)	0	2+ 3- 7- 13-	2+ 3-  3 7-  3 13-  1 -3
Curve Equation t 17472bl1 [0,1,0,-449,-8097] 1
17472bm (1 curve)	0	2+ 3- 7- 13-	2+ 3-  3 7-  5 13-  3  1
Curve Equation t 17472bm1 [0,1,0,-41249,-3256257] 1
17472bn (1 curve)	0	2+ 3- 7- 13-	2+ 3-  3 7- -6 13- -8  1
Curve Equation t 17472bn1 [0,1,0,-443517989,3595057300803] 1
17472bo (2 curves)	0	2+ 3- 7- 13-	2+ 3- -4 7- -6 13-  6  8
Curve Equation t 17472bo1 [0,1,0,-845,-9741] 2 17472bo2 [0,1,0,-785,-11121] 2
17472bp (1 curve)	0	2- 3+ 7+ 13+	2- 3+  1 7+ -2 13+ -4  3
Curve Equation t 17472bp1 [0,-1,0,-105,-441] 1
17472bq (1 curve)	0	2- 3+ 7+ 13+	2- 3+ -1 7+  5 13+  3  1
Curve Equation t 17472bq1 [0,-1,0,-1,-863] 1
17472br (6 curves)	0	2- 3+ 7+ 13+	2- 3+  2 7+ -4 13+ -6  4
Curve Equation t 17472br1 [0,-1,0,2883,241533] 2 17472br2 [0,-1,0,-45137,3439665] 4 17472br3 [0,-1,0,-150977,-18553887] 2 17472br4 [0,-1,0,-707617,229345345] 4 17472br5 [0,-1,0,-11321857,14666834593] 2 17472br6 [0,-1,0,-693057,239219937] 2
17472bs (1 curve)	0	2- 3+ 7+ 13+	2- 3+  3 7+  4 13+  4 -3
Curve Equation t 17472bs1 [0,-1,0,-99,1377] 1
17472bt (1 curve)	1	2- 3+ 7+ 13-	2- 3+  1 7+  0 13-  0  1
Curve Equation t Generators 17472bt1 [0,-1,0,125,-107] 1 [4:21:1]
17472bu (1 curve)	1	2- 3+ 7+ 13-	2- 3+ -1 7+ -6 13- -8  3
Curve Equation t Generators 17472bu1 [0,-1,0,-1461,22509] 1 [12:81:1]
17472bv (2 curves)	1	2- 3+ 7+ 13-	2- 3+  2 7+  0 13-  4  0
Curve Equation t Generators 17472bv1 [0,-1,0,-117,-507] 2 [76:651:1] 17472bv2 [0,-1,0,-1937,-32175] 2 [2208:15965:27]
17472bw (4 curves)	1	2- 3+ 7+ 13-	2- 3+ -2 7+  0 13- -6  4
Curve Equation t Generators 17472bw1 [0,-1,0,-3764,20178] 2 [522:1755:8] 17472bw2 [0,-1,0,-36569,-2663271] 4 [-104:65:1] 17472bw3 [0,-1,0,-584129,-171640287] 2 [4459:293020:1] 17472bw4 [0,-1,0,-13889,-5951871] 4 [1265:44712:1]
17472bx (4 curves)	1	2- 3+ 7+ 13-	2- 3+ -2 7+ -4 13-  2  4
Curve Equation t Generators 17472bx1 [0,-1,0,-369,-2607] 2 [53:352:1] 17472bx2 [0,-1,0,-449,-1311] 4 [-16:39:1] 17472bx3 [0,-1,0,-3809,90753] 4 [43:68:1] 17472bx4 [0,-1,0,1631,-11711] 2 [16:135:1]
17472by (1 curve)	1	2- 3+ 7+ 13-	2- 3+  3 7+ -5 13-  3 -1
Curve Equation t Generators 17472by1 [0,-1,0,-41249,3256257] 1 [109:208:1]
17472bz (1 curve)	1	2- 3+ 7+ 13-	2- 3+  3 7+  6 13- -8 -1
Curve Equation t Generators 17472bz1 [0,-1,0,-443517989,-3595057300803] 1 [1290753325833369291281515673061667756464502022667931738197810914301106091947580386056639785355786067771107652492:692759592047298661159536394268939806531553193680461970258802920704250573612747874798991140991355151934887682331871:4456524501194500714747225738035068164575284699302584966320311746803472661129003935842121974070341277579353]
17472ca (2 curves)	1	2- 3+ 7+ 13-	2- 3+ -4 7+  6 13-  6 -8
Curve Equation t Generators 17472ca1 [0,-1,0,-845,9741] 2 [13:28:1] 17472ca2 [0,-1,0,-785,11121] 2 [16:49:1]
17472cb (1 curve)	1	2- 3+ 7- 13+	2- 3+  1 7- -1 13+ -1  7
Curve Equation t Generators 17472cb1 [0,-1,0,-6945,228033] 1 [29:224:1]
17472cc (1 curve)	1	2- 3+ 7- 13+	2- 3+  1 7-  2 13+ -4  1
Curve Equation t Generators 17472cc1 [0,-1,0,-7925,-679251] 1 [260:3843:1]
17472cd (2 curves)	1	2- 3+ 7- 13+	2- 3+  2 7-  4 13+  0 -4
Curve Equation t Generators 17472cd1 [0,-1,0,-112,-410] 2 [7134:37925:216] 17472cd2 [0,-1,0,23,-1463] 2 [128:1443:1]
17472ce (2 curves)	1	2- 3+ 7- 13+	2- 3+ -2 7-  0 13+ -4  4
Curve Equation t Generators 17472ce1 [0,-1,0,-20504,1136934] 2 [-25:1278:1] 17472ce2 [0,-1,0,-20489,1138665] 2 [87:84:1]
17472cf (4 curves)	1	2- 3+ 7- 13+	2- 3+ -2 7-  0 13+ -6 -4
Curve Equation t Generators 17472cf1 [0,-1,0,-29,3165] 2 [1:56:1] 17472cf2 [0,-1,0,-3409,76849] 4 [-11:336:1] 17472cf3 [0,-1,0,-6529,-82271] 2 [-24:245:1] 17472cf4 [0,-1,0,-54369,4897665] 2 [136:21:1]
17472cg (4 curves)	1	2- 3+ 7- 13+	2- 3+ -2 7- -4 13+  6 -4
Curve Equation t Generators 17472cg1 [0,-1,0,-484,-3926] 2 [183:2450:1] 17472cg2 [0,-1,0,-729,729] 4 [-25:52:1] 17472cg3 [0,-1,0,-8289,292545] 2 [56:29:1] 17472cg4 [0,-1,0,2911,2913] 2 [3:108:1]
17472ch (1 curve)	1	2- 3+ 7- 13+	2- 3+  3 7-  0 13+ -4 -1
Curve Equation t Generators 17472ch1 [0,-1,0,-939,-56979] 1 [6180:15309:125]
17472ci (2 curves)	0	2- 3+ 7- 13-	2- 3+  0 7-  2 13- -2  0
Curve Equation t 17472ci1 [0,-1,0,-813,-8595] 2 17472ci2 [0,-1,0,-273,-20367] 2
17472cj (2 curves)	0	2- 3+ 7- 13-	2- 3+  0 7- -2 13-  4  4
Curve Equation t 17472cj1 [0,-1,0,-1253,-32715] 2 17472cj2 [0,-1,0,-24913,-1504367] 2
17472ck (1 curve)	0	2- 3+ 7- 13-	2- 3+ -3 7-  1 13-  7  1
Curve Equation t 17472ck1 [0,-1,0,-6430977,6315217569] 1
17472cl (2 curves)	1	2- 3- 7+ 13+	2- 3-  2 7+ -4 13+  0  4
Curve Equation t Generators 17472cl1 [0,1,0,-112,410] 2 [-7:30:1] 17472cl2 [0,1,0,23,1463] 2 [2:39:1]
17472cm (6 curves)	1	2- 3- 7+ 13+	2- 3-  2 7+ -4 13+  2 -4
Curve Equation t Generators 17472cm1 [0,1,0,-957,-11277] 2 [-18:21:1] 17472cm2 [0,1,0,-2577,35055] 4 [-9:240:1] 17472cm3 [0,1,0,-37857,2822175] 4 [138:495:1] 17472cm4 [0,1,0,6783,239103] 2 [69:1020:1] 17472cm5 [0,1,0,-605697,181237503] 2 [600094:91005:1331] 17472cm6 [0,1,0,-34497,3347007] 2 [3054:25685:27]
17472cn (2 curves)	1	2- 3- 7+ 13+	2- 3- -2 7+  0 13+ -4 -4
Curve Equation t Generators 17472cn1 [0,1,0,-20504,-1136934] 2 [211519147968798:2830237884802241:784287609048] 17472cn2 [0,1,0,-20489,-1138665] 2 [24552357:771046332:24389]
17472co (4 curves)	1	2- 3- 7+ 13+	2- 3- -2 7+  4 13+  6  4
Curve Equation t Generators 17472co1 [0,1,0,-484,3926] 2 [17:30:1] 17472co2 [0,1,0,-729,-729] 4 [-15:84:1] 17472co3 [0,1,0,-8289,-292545] 2 [-51:12:1] 17472co4 [0,1,0,2911,-2913] 2 [37:396:1]
17472cp (1 curve)	1	2- 3- 7+ 13+	2- 3-  3 7+  0 13+ -4  1
Curve Equation t Generators 17472cp1 [0,1,0,-939,56979] 1 [-30:243:1]
17472cq (3 curves)	1	2- 3- 7+ 13+	2- 3- -3 7+  3 13+ -3 -7
Curve Equation t Generators 17472cq1 [0,1,0,863,-92449] 1 [71:576:1] 17472cq2 [0,1,0,-7777,2525471] 1 [23:1536:1] 17472cq3 [0,1,0,-1667617,828339551] 1 [975557:786432:1331]
17472cr (2 curves)	0	2- 3- 7+ 13-	2- 3-  0 7+ -2 13- -6 -8
Curve Equation t 17472cr1 [0,1,0,-41293,-3329245] 2 17472cr2 [0,1,0,-665553,-209210193] 2
17472cs (2 curves)	0	2- 3- 7+ 13-	2- 3-  1 7+  5 13- -3 -1
Curve Equation t 17472cs1 [0,1,0,45695,42494591] 1 17472cs2 [0,1,0,-235167745,1388002409471] 1
17472ct (4 curves)	0	2- 3- 7+ 13-	2- 3- -2 7+  4 13-  6  4
Curve Equation t 17472ct1 [0,1,0,-160529,24702447] 2 17472ct2 [0,1,0,-160609,24676511] 4 17472ct3 [0,1,0,-216769,5840447] 2 17472ct4 [0,1,0,-105729,41853951] 4
17472cu (4 curves)	0	2- 3- 7+ 13-	2- 3- -2 7+ -4 13-  6 -4
Curve Equation t 17472cu1 [0,1,0,-449,3135] 2 17472cu2 [0,1,0,-1729,-24769] 4 17472cu3 [0,1,0,-26689,-1687105] 2 17472cu4 [0,1,0,2751,-127809] 4
17472cv (1 curve)	0	2- 3- 7+ 13-	2- 3-  3 7+ -2 13-  0  7
Curve Equation t 17472cv1 [0,1,0,91,-381] 1
17472cw (4 curves)	0	2- 3- 7- 13+	2- 3-  2 7- -4 13+ -2 -4
Curve Equation t 17472cw1 [0,1,0,-3617,80223] 2 17472cw2 [0,1,0,-8737,-203425] 4 17472cw3 [0,1,0,-125217,-17093025] 2 17472cw4 [0,1,0,25823,-1385377] 2
17472cx (1 curve)	0	2- 3- 7- 13+	2- 3-  3 7- -4 13+  4  3
Curve Equation t 17472cx1 [0,1,0,-99,-1377] 1
17472cy (2 curves)	1	2- 3- 7- 13-	2- 3-  0 7- -2 13- -2  0
Curve Equation t Generators 17472cy1 [0,1,0,2067,28899] 2 [15:252:1] 17472cy2 [0,1,0,-10673,250575] 2 [-83:756:1]
17472cz (1 curve)	1	2- 3- 7- 13-	2- 3-  1 7-  0 13-  0 -1
Curve Equation t Generators 17472cz1 [0,1,0,125,107] 1 [26:147:1]
17472da (1 curve)	1	2- 3- 7- 13-	2- 3- -1 7- -2 13-  0  1
Curve Equation t Generators 17472da1 [0,1,0,10159,1269621] 1 [148:2457:1]
17472db (1 curve)	1	2- 3- 7- 13-	2- 3- -1 7-  3 13-  5  1
Curve Equation t Generators 17472db1 [0,1,0,-481,4511] 1 [55:384:1]
17472dc (2 curves)	1	2- 3- 7- 13-	2- 3-  2 7-  0 13- -4 -8
Curve Equation t Generators 17472dc1 [0,1,0,203,-1813] 2 [14:63:1] 17472dc2 [0,1,0,-1617,-21105] 2 [-27:60:1]
17472dd (4 curves)	1	2- 3- 7- 13-	2- 3- -2 7-  0 13- -6 -4
Curve Equation t Generators 17472dd1 [0,1,0,-3764,-20178] 2 [-23:234:1] 17472dd2 [0,1,0,-36569,2663271] 4 [-65:2184:1] 17472dd3 [0,1,0,-584129,171640287] 4 [91:10920:1] 17472dd4 [0,1,0,-13889,5951871] 2 [-38:2535:1]

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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