Cremona's table of elliptic curves

42432 = 2⁶ · 3 · 13 · 17

Class	r	Atkin-Lehner	Eigenvalues
42432a (4 curves)	1	2+ 3+ 13+ 17+	2+ 3+  0 -4  0 13+ 17+ -2
Curve Equation t Generators 42432a1 [0,-1,0,-12613,549445] 2 [49:216:1] 42432a2 [0,-1,0,-12273,580113] 2 [79:312:1] 42432a3 [0,-1,0,-19813,-138299] 2 [-23:552:1] 42432a4 [0,-1,0,78447,-1179855] 2 [9642:343413:8]
42432b (2 curves)	1	2+ 3+ 13+ 17+	2+ 3+  4  4  0 13+ 17+ -6
Curve Equation t Generators 42432b1 [0,-1,0,-16,-182] 2 [187220:865809:8000] 42432b2 [0,-1,0,-601,-5447] 2 [746:6885:8]
42432c (2 curves)	2	2+ 3+ 13+ 17-	2+ 3+  0 -2  0 13+ 17-  6
Curve Equation t Generators 42432c1 [0,-1,0,-1173,15093] 2 [29:68:1]&[36:135:1] 42432c2 [0,-1,0,-18513,975729] 2 [-155:312:1]&[29:680:1]
42432d (2 curves)	0	2+ 3+ 13+ 17-	2+ 3+  2 -2  0 13+ 17-  0
Curve Equation t 42432d1 [0,-1,0,-2317,28093] 2 42432d2 [0,-1,0,6863,187825] 2
42432e (2 curves)	0	2+ 3+ 13- 17+	2+ 3+  2  2  2 13- 17+  6
Curve Equation t 42432e1 [0,-1,0,-4997,137637] 2 42432e2 [0,-1,0,-4817,147825] 2
42432f (2 curves)	0	2+ 3+ 13- 17+	2+ 3+  2 -2  2 13- 17+  2
Curve Equation t 42432f1 [0,-1,0,-361912,-83690510] 2 42432f2 [0,-1,0,-5790777,-5361633063] 2
42432g (2 curves)	0	2+ 3+ 13- 17+	2+ 3+  2 -4  2 13- 17+  0
Curve Equation t 42432g1 [0,-1,0,-113217,-5215167] 2 42432g2 [0,-1,0,419263,-40678335] 2
42432h (2 curves)	2	2+ 3+ 13- 17+	2+ 3+ -2  0  2 13- 17+ -4
Curve Equation t Generators 42432h1 [0,-1,0,-169,745] 2 [-13:24:1]&[-8:39:1] 42432h2 [0,-1,0,351,3969] 2 [0:63:1]&[8:85:1]
42432i (2 curves)	2	2+ 3+ 13- 17+	2+ 3+ -4 -2 -4 13- 17+ -4
Curve Equation t Generators 42432i1 [0,-1,0,-1385,-4119] 2 [-16:117:1]&[-29:104:1] 42432i2 [0,-1,0,5375,-37919] 2 [23:312:1]&[24:323:1]
42432j (2 curves)	1	2+ 3+ 13- 17-	2+ 3+  0  2  2 13- 17-  4
Curve Equation t Generators 42432j1 [0,-1,0,-160433,-24264015] 2 [1019:29484:1] 42432j2 [0,-1,0,-336193,38622913] 2 [1344:44863:1]
42432k (2 curves)	1	2+ 3+ 13- 17-	2+ 3+  0  2  2 13- 17-  4
Curve Equation t Generators 42432k1 [0,-1,0,-3133,-65555] 2 [109:936:1] 42432k2 [0,-1,0,-6193,86833] 2 [97:624:1]
42432l (2 curves)	1	2+ 3+ 13- 17-	2+ 3+  0 -2  2 13- 17-  0
Curve Equation t Generators 42432l1 [0,-1,0,-2113,-34751] 2 [-29:36:1] 42432l2 [0,-1,0,-6273,149121] 2 [80:391:1]
42432m (2 curves)	1	2+ 3+ 13- 17-	2+ 3+  0 -2  2 13- 17-  4
Curve Equation t Generators 42432m1 [0,-1,0,-1313,9633] 2 [-13:156:1] 42432m2 [0,-1,0,-17953,931489] 2 [96:289:1]
42432n (2 curves)	1	2+ 3+ 13- 17-	2+ 3+  0 -4  2 13- 17- -8
Curve Equation t Generators 42432n1 [0,-1,0,-1773,104253] 2 [149:1768:1] 42432n2 [0,-1,0,-45713,3768849] 2 [-85:2652:1]
42432o (2 curves)	1	2+ 3+ 13- 17-	2+ 3+  2  0 -2 13- 17-  2
Curve Equation t Generators 42432o1 [0,-1,0,-2997,64053] 2 [36:39:1] 42432o2 [0,-1,0,-4017,17745] 2 [-13:260:1]
42432p (2 curves)	0	2+ 3- 13+ 17+	2+ 3-  0  0  4 13+ 17+ -2
Curve Equation t 42432p1 [0,1,0,-133,-565] 2 42432p2 [0,1,0,207,-2673] 2
42432q (2 curves)	0	2+ 3- 13+ 17+	2+ 3-  4 -4  0 13+ 17+  6
Curve Equation t 42432q1 [0,1,0,-16,182] 2 42432q2 [0,1,0,-601,5447] 2
42432r (4 curves)	1	2+ 3- 13+ 17-	2+ 3-  2  0  0 13+ 17-  0
Curve Equation t Generators 42432r1 [0,1,0,543,9087] 2 [-788440:1668513:64000] 42432r2 [0,1,0,-4577,98175] 4 [3300:2805:64] 42432r3 [0,1,0,-21217,-1103233] 2 [169:408:1] 42432r4 [0,1,0,-69857,7083135] 2 [13043052:-784335:85184]
42432s (6 curves)	1	2+ 3- 13+ 17-	2+ 3-  2  0 -4 13+ 17-  4
Curve Equation t Generators 42432s1 [0,1,0,-34497,2454687] 2 [89:312:1] 42432s2 [0,1,0,-34817,2406495] 4 [-165:1920:1] 42432s3 [0,1,0,14143,8683167] 2 [-1014:17655:8] 42432s4 [0,1,0,-88897,-6949345] 4 [-94:765:1] 42432s5 [0,1,0,248063,-46778017] 2 [7394:637245:1] 42432s6 [0,1,0,-1291137,-565029153] 2 [7437:633420:1]
42432t (4 curves)	1	2+ 3- 13+ 17-	2+ 3-  2 -4  4 13+ 17-  4
Curve Equation t Generators 42432t1 [0,1,0,-157,1955] 2 [-188:3135:64] 42432t2 [0,1,0,-3537,79695] 4 [-15:360:1] 42432t3 [0,1,0,-4577,27903] 2 [-3:204:1] 42432t4 [0,1,0,-56577,5160927] 2 [4899:25640:27]
42432u (2 curves)	1	2+ 3- 13+ 17-	2+ 3- -2 -2 -4 13+ 17-  8
Curve Equation t Generators 42432u1 [0,1,0,51,51] 2 [10:87:8] 42432u2 [0,1,0,-209,207] 2 [-11:36:1]
42432v (4 curves)	1	2+ 3- 13+ 17-	2+ 3- -2 -4  0 13+ 17- -4
Curve Equation t Generators 42432v1 [0,1,0,-1789,24707] 2 [-37:204:1] 42432v2 [0,1,0,-7569,-230769] 4 [-54:153:1] 42432v3 [0,1,0,10111,-1132449] 2 [154:2025:1] 42432v4 [0,1,0,-117729,-15587073] 2 [-198:9:1]
42432w (2 curves)	1	2+ 3- 13- 17+	2+ 3-  0  2  4 13- 17+ -4
Curve Equation t Generators 42432w1 [0,1,0,-1223073,-503634753] 2 [-567:2808:1] 42432w2 [0,1,0,507487,-1812976449] 2 [12745:1440504:1]
42432x (2 curves)	1	2+ 3- 13- 17+	2+ 3-  0  2 -4 13- 17+  4
Curve Equation t Generators 42432x1 [0,1,0,-57153,5221791] 2 [105:624:1] 42432x2 [0,1,0,-30113,10202559] 2 [313:5616:1]
42432y (2 curves)	1	2+ 3- 13- 17+	2+ 3-  2  2  2 13- 17+ -2
Curve Equation t Generators 42432y1 [0,1,0,-4037,69483] 2 [7:204:1] 42432y2 [0,1,0,10543,468975] 2 [13:780:1]
42432z (2 curves)	1	2+ 3- 13- 17+	2+ 3-  2  2 -2 13- 17+ -2
Curve Equation t Generators 42432z1 [0,1,0,-361912,83690510] 2 [-275450126:1624901055:405224] 42432z2 [0,1,0,-5790777,5361633063] 2 [-2718:32079:1]
42432ba (2 curves)	1	2+ 3- 13- 17+	2+ 3-  2  4 -6 13- 17+ -8
Curve Equation t Generators 42432ba1 [0,1,0,-1697,-26817] 2 [-23:24:1] 42432ba2 [0,1,0,383,-86305] 2 [185:2520:1]
42432bb (2 curves)	1	2+ 3- 13- 17+	2+ 3- -2  0 -2 13- 17+  4
Curve Equation t Generators 42432bb1 [0,1,0,-169,-745] 2 [-7:12:1] 42432bb2 [0,1,0,351,-3969] 2 [26:153:1]
42432bc (2 curves)	1	2+ 3- 13- 17+	2+ 3- -4  2  4 13- 17+  4
Curve Equation t Generators 42432bc1 [0,1,0,-1385,4119] 2 [55:-312:1] 42432bc2 [0,1,0,5375,37919] 2 [29:468:1]
42432bd (2 curves)	0	2+ 3- 13- 17-	2+ 3-  0  2  2 13- 17-  4
Curve Equation t 42432bd1 [0,1,0,-530673,-148972113] 2 42432bd2 [0,1,0,-531713,-148359969] 2
42432be (2 curves)	0	2+ 3- 13- 17-	2+ 3-  0  2  6 13- 17-  0
Curve Equation t 42432be1 [0,1,0,-273,-1521] 2 42432be2 [0,1,0,-1313,16575] 2
42432bf (2 curves)	0	2+ 3- 13- 17-	2+ 3-  0 -2  2 13- 17-  8
Curve Equation t 42432bf1 [0,1,0,-72833,6902751] 2 42432bf2 [0,1,0,-1137793,466752479] 2
42432bg (2 curves)	2	2+ 3- 13- 17-	2+ 3- -2 -4 -2 13- 17- -2
Curve Equation t Generators 42432bg1 [0,1,0,-629,5307] 2 [22:51:1]&[-2:81:1] 42432bg2 [0,1,0,-9809,370671] 2 [55:-24:1]&[-41:840:1]
42432bh (2 curves)	0	2+ 3- 13- 17-	2+ 3-  4  2  2 13- 17-  0
Curve Equation t 42432bh1 [0,1,0,-221,867] 2 42432bh2 [0,1,0,-3281,71247] 2
42432bi (2 curves)	0	2+ 3- 13- 17-	2+ 3-  4  2 -6 13- 17- -4
Curve Equation t 42432bi1 [0,1,0,-16801,-843073] 2 42432bi2 [0,1,0,-20961,-397953] 2
42432bj (2 curves)	2	2- 3+ 13+ 17+	2- 3+  0  0 -4 13+ 17+  2
Curve Equation t Generators 42432bj1 [0,-1,0,-133,565] 2 [-12:17:1]&[-11:24:1] 42432bj2 [0,-1,0,207,2673] 2 [9:-72:1]&[41:280:1]
42432bk (4 curves)	1	2- 3+ 13+ 17-	2- 3+  2  0  0 13+ 17-  0
Curve Equation t Generators 42432bk1 [0,-1,0,543,-9087] 2 [114580:301783:8000] 42432bk2 [0,-1,0,-4577,-98175] 4 [3149:176640:1] 42432bk3 [0,-1,0,-21217,1103233] 2 [171:1564:1] 42432bk4 [0,-1,0,-69857,-7083135] 2 [25226:1411165:8]
42432bl (6 curves)	1	2- 3+ 13+ 17-	2- 3+  2  0  4 13+ 17- -4
Curve Equation t Generators 42432bl1 [0,-1,0,-34497,-2454687] 2 [951:28704:1] 42432bl2 [0,-1,0,-34817,-2406495] 4 [11571553:349221600:12167] 42432bl3 [0,-1,0,14143,-8683167] 2 [11771427016:-202848862825:35287552] 42432bl4 [0,-1,0,-88897,6949345] 4 [1335:47600:1] 42432bl5 [0,-1,0,248063,46778017] 2 [103:8568:1] 42432bl6 [0,-1,0,-1291137,565029153] 2 [695148900:1712204487:1000000]
42432bm (4 curves)	1	2- 3+ 13+ 17-	2- 3+  2  0 -4 13+ 17- -4
Curve Equation t Generators 42432bm1 [0,-1,0,148,-462] 2 [292:1085:64] 42432bm2 [0,-1,0,-697,-3335] 4 [-21:40:1] 42432bm3 [0,-1,0,-5377,151105] 2 [64:255:1] 42432bm4 [0,-1,0,-9537,-355167] 2 [3594:74115:8]
42432bn (4 curves)	1	2- 3+ 13+ 17-	2- 3+  2  4 -4 13+ 17- -4
Curve Equation t Generators 42432bn1 [0,-1,0,-157,-1955] 2 [961884:-5946305:21952] 42432bn2 [0,-1,0,-3537,-79695] 4 [1402:17255:8] 42432bn3 [0,-1,0,-4577,-27903] 2 [88:493:1] 42432bn4 [0,-1,0,-56577,-5160927] 2 [-1145982299:25640:8365427]
42432bo (2 curves)	1	2- 3+ 13+ 17-	2- 3+ -2  2  4 13+ 17- -8
Curve Equation t Generators 42432bo1 [0,-1,0,51,-51] 2 [209:3016:1] 42432bo2 [0,-1,0,-209,-207] 2 [-13:12:1]
42432bp (4 curves)	1	2- 3+ 13+ 17-	2- 3+ -2  4  0 13+ 17-  4
Curve Equation t Generators 42432bp1 [0,-1,0,-1789,-24707] 2 [241:3672:1] 42432bp2 [0,-1,0,-7569,230769] 4 [-35:672:1] 42432bp3 [0,-1,0,10111,1132449] 2 [381:30520:27] 42432bp4 [0,-1,0,-117729,15587073] 2 [-139:5408:1]
42432bq (2 curves)	1	2- 3+ 13+ 17-	2- 3+  4 -2  4 13+ 17-  2
Curve Equation t Generators 42432bq1 [0,-1,0,-11136,449838] 2 [536020:-18751:8000] 42432bq2 [0,-1,0,-22121,-571767] 2 [-214:85:8]
42432br (2 curves)	1	2- 3+ 13- 17+	2- 3+  0 -2  4 13- 17+ -4
Curve Equation t Generators 42432br1 [0,-1,0,-57153,-5221791] 2 [-144:39:1] 42432br2 [0,-1,0,-30113,-10202559] 2 [272:1287:1]
42432bs (2 curves)	1	2- 3+ 13- 17+	2- 3+  0 -2 -4 13- 17+  4
Curve Equation t Generators 42432bs1 [0,-1,0,-1223073,503634753] 2 [216:15795:1] 42432bs2 [0,-1,0,507487,1812976449] 2 [619:48620:1]
42432bt (2 curves)	1	2- 3+ 13- 17+	2- 3+  2 -2 -2 13- 17+  2
Curve Equation t Generators 42432bt1 [0,-1,0,-4037,-69483] 2 [-44:145:1] 42432bt2 [0,-1,0,10543,-468975] 2 [89:1080:1]
42432bu (2 curves)	1	2- 3+ 13- 17+	2- 3+  2 -4  6 13- 17+  8
Curve Equation t Generators 42432bu1 [0,-1,0,-1697,26817] 2 [8:117:1] 42432bu2 [0,-1,0,383,86305] 2 [27:340:1]
42432bv (2 curves)	0	2- 3+ 13- 17-	2- 3+  0  2 -2 13- 17- -8
Curve Equation t 42432bv1 [0,-1,0,-72833,-6902751] 2 42432bv2 [0,-1,0,-1137793,-466752479] 2
42432bw (2 curves)	2	2- 3+ 13- 17-	2- 3+  0 -2 -2 13- 17- -4
Curve Equation t Generators 42432bw1 [0,-1,0,-530673,148972113] 2 [419:68:1]&[-363:17136:1] 42432bw2 [0,-1,0,-531713,148359969] 2 [315:3468:1]&[455:648:1]
42432bx (2 curves)	2	2- 3+ 13- 17-	2- 3+  0 -2 -6 13- 17-  0
Curve Equation t Generators 42432bx1 [0,-1,0,-273,1521] 2 [-13:52:1]&[-3:48:1] 42432bx2 [0,-1,0,-1313,-16575] 2 [-21:36:1]&[-16:9:1]
42432by (2 curves)	0	2- 3+ 13- 17-	2- 3+  2  4 -2 13- 17-  2
Curve Equation t 42432by1 [0,-1,0,-72,-210] 2 42432by2 [0,-1,0,-137,297] 2
42432bz (2 curves)	0	2- 3+ 13- 17-	2- 3+ -2  0  2 13- 17- -6
Curve Equation t 42432bz1 [0,-1,0,-4016064,-3096430506] 2 42432bz2 [0,-1,0,-4027049,-3078628215] 2
42432ca (2 curves)	0	2- 3+ 13- 17-	2- 3+ -2  4  2 13- 17-  2
Curve Equation t 42432ca1 [0,-1,0,-629,-5307] 2 42432ca2 [0,-1,0,-9809,-370671] 2
42432cb (2 curves)	0	2- 3+ 13- 17-	2- 3+  4 -2 -2 13- 17-  0
Curve Equation t 42432cb1 [0,-1,0,-221,-867] 2 42432cb2 [0,-1,0,-3281,-71247] 2
42432cc (2 curves)	0	2- 3+ 13- 17-	2- 3+  4 -2  6 13- 17-  4
Curve Equation t 42432cc1 [0,-1,0,-16801,843073] 2 42432cc2 [0,-1,0,-20961,397953] 2
42432cd (4 curves)	1	2- 3- 13+ 17+	2- 3-  0  4  0 13+ 17+  2
Curve Equation t Generators 42432cd1 [0,1,0,-12613,-549445] 2 [131:252:1] 42432cd2 [0,1,0,-12273,-580113] 2 [291:4536:1] 42432cd3 [0,1,0,-19813,138299] 2 [183953:323316:1331] 42432cd4 [0,1,0,78447,1179855] 2 [227:5544:1]
42432ce (2 curves)	0	2- 3- 13+ 17-	2- 3-  0  2  0 13+ 17- -6
Curve Equation t 42432ce1 [0,1,0,-1173,-15093] 2 42432ce2 [0,1,0,-18513,-975729] 2
42432cf (4 curves)	0	2- 3- 13+ 17-	2- 3-  2  0  4 13+ 17-  4
Curve Equation t 42432cf1 [0,1,0,148,462] 2 42432cf2 [0,1,0,-697,3335] 4 42432cf3 [0,1,0,-5377,-151105] 2 42432cf4 [0,1,0,-9537,355167] 2
42432cg (2 curves)	0	2- 3- 13+ 17-	2- 3-  2  2  0 13+ 17-  0
Curve Equation t 42432cg1 [0,1,0,-2317,-28093] 2 42432cg2 [0,1,0,6863,-187825] 2
42432ch (2 curves)	0	2- 3- 13+ 17-	2- 3-  4  2 -4 13+ 17- -2
Curve Equation t 42432ch1 [0,1,0,-11136,-449838] 2 42432ch2 [0,1,0,-22121,571767] 2
42432ci (2 curves)	0	2- 3- 13- 17+	2- 3-  2 -2 -2 13- 17+ -6
Curve Equation t 42432ci1 [0,1,0,-4997,-137637] 2 42432ci2 [0,1,0,-4817,-147825] 2
42432cj (2 curves)	0	2- 3- 13- 17+	2- 3-  2  4 -2 13- 17+  0
Curve Equation t 42432cj1 [0,1,0,-113217,5215167] 2 42432cj2 [0,1,0,419263,40678335] 2
42432ck (2 curves)	1	2- 3- 13- 17-	2- 3-  0  2 -2 13- 17-  0
Curve Equation t Generators 42432ck1 [0,1,0,-2113,34751] 2 [-1:192:1] 42432ck2 [0,1,0,-6273,-149121] 2 [-27:36:1]
42432cl (2 curves)	1	2- 3- 13- 17-	2- 3-  0  2 -2 13- 17- -4
Curve Equation t Generators 42432cl1 [0,1,0,-1313,-9633] 2 [-11:60:1] 42432cl2 [0,1,0,-17953,-931489] 2 [346:5865:1]
42432cm (2 curves)	1	2- 3- 13- 17-	2- 3-  0 -2 -2 13- 17- -4
Curve Equation t Generators 42432cm1 [0,1,0,-160433,24264015] 2 [-83:6084:1] 42432cm2 [0,1,0,-336193,-38622913] 2 [866:17901:1]
42432cn (2 curves)	1	2- 3- 13- 17-	2- 3-  0 -2 -2 13- 17- -4
Curve Equation t Generators 42432cn1 [0,1,0,-3133,65555] 2 [47:156:1] 42432cn2 [0,1,0,-6193,-86833] 2 [-19:156:1]
42432co (2 curves)	1	2- 3- 13- 17-	2- 3-  0  4 -2 13- 17-  8
Curve Equation t Generators 42432co1 [0,1,0,-1773,-104253] 2 [17193:433160:27] 42432co2 [0,1,0,-45713,-3768849] 2 [306:3315:1]
42432cp (2 curves)	1	2- 3- 13- 17-	2- 3-  2  0  2 13- 17- -2
Curve Equation t Generators 42432cp1 [0,1,0,-2997,-64053] 2 [159:1872:1] 42432cp2 [0,1,0,-4017,-17745] 2 [4251:48880:27]
42432cq (2 curves)	1	2- 3- 13- 17-	2- 3-  2 -4  2 13- 17- -2
Curve Equation t Generators 42432cq1 [0,1,0,-72,210] 2 [644:1575:64] 42432cq2 [0,1,0,-137,-297] 2 [37:216:1]
42432cr (2 curves)	1	2- 3- 13- 17-	2- 3- -2  0 -2 13- 17-  6
Curve Equation t Generators 42432cr1 [0,1,0,-4016064,3096430506] 2 [1365:12636:1] 42432cr2 [0,1,0,-4027049,3078628215] 2 [1573:25272:1]

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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