Cremona's table of elliptic curves

16830 = 2 · 3² · 5 · 11 · 17

Class	r	Atkin-Lehner	Eigenvalues
16830a (1 curve)	1	2+ 3+ 5+ 11+ 17+	2+ 3+ 5+  1 11+  1 17+ -7
Curve Equation t Generators 16830a1 [1,-1,0,-9195,-601579] 1 [322:5293:1]
16830b (1 curve)	1	2+ 3+ 5+ 11+ 17+	2+ 3+ 5+  1 11+ -4 17+ -2
Curve Equation t Generators 16830b1 [1,-1,0,17580,2453200] 1 [-67:1019:1]
16830c (2 curves)	1	2+ 3+ 5+ 11+ 17+	2+ 3+ 5+  2 11+ -6 17+  4
Curve Equation t Generators 16830c1 [1,-1,0,-3255,61325] 2 [5:210:1] 16830c2 [1,-1,0,5925,338561] 2 [31:727:1]
16830d (2 curves)	1	2+ 3+ 5+ 11+ 17+	2+ 3+ 5+ -4 11+ -4 17+ -2
Curve Equation t Generators 16830d1 [1,-1,0,-249330,-47842924] 2 [-292:166:1] 16830d2 [1,-1,0,-214650,-61652500] 2 [575:1900:1]
16830e (2 curves)	1	2+ 3+ 5+ 11+ 17+	2+ 3+ 5+ -4 11+  6 17+ -2
Curve Equation t Generators 16830e1 [1,-1,0,-1171410,170143316] 2 [48883:10780621:1] 16830e2 [1,-1,0,4358190,1312558676] 2 [335132849:-74313998912:6859]
16830f (2 curves)	0	2+ 3+ 5+ 11+ 17-	2+ 3+ 5+  0 11+  0 17-  2
Curve Equation t 16830f1 [1,-1,0,-9522645,11099832821] 2 16830f2 [1,-1,0,-20581845,-19518668299] 2
16830g (2 curves)	0	2+ 3+ 5+ 11+ 17-	2+ 3+ 5+  0 11+  6 17- -4
Curve Equation t 16830g1 [1,-1,0,-150,-1504] 2 16830g2 [1,-1,0,-3120,-66250] 2
16830h (1 curve)	0	2+ 3+ 5+ 11- 17+	2+ 3+ 5+  3 11-  4 17+  6
Curve Equation t 16830h1 [1,-1,0,-15,-289] 1
16830i (2 curves)	1	2+ 3+ 5+ 11- 17-	2+ 3+ 5+  0 11-  0 17-  6
Curve Equation t Generators 16830i1 [1,-1,0,-2985,56141] 2 [2:223:1] 16830i2 [1,-1,0,-46185,3831821] 2 [10:1831:1]
16830j (1 curve)	1	2+ 3+ 5+ 11- 17-	2+ 3+ 5+  1 11- -1 17- -5
Curve Equation t Generators 16830j1 [1,-1,0,-150,-3340] 1 [76:610:1]
16830k (2 curves)	1	2+ 3+ 5+ 11- 17-	2+ 3+ 5+ -1 11- -4 17-  2
Curve Equation t Generators 16830k1 [1,-1,0,705,3501] 3 [51:387:1] 16830k2 [1,-1,0,-7710,-318700] 1 [6868:14791:64]
16830l (2 curves)	1	2+ 3+ 5- 11+ 17-	2+ 3+ 5- -1 11+  5 17- -1
Curve Equation t Generators 16830l1 [1,-1,0,-124959,-21232035] 3 [1566:59397:1] 16830l2 [1,-1,0,-10810734,-13678708780] 1 [6045380:230957150:1331]
16830m (4 curves)	1	2+ 3+ 5- 11- 17+	2+ 3+ 5- -4 11-  2 17+  2
Curve Equation t Generators 16830m1 [1,-1,0,-1164,12348] 6 [-38:44:1] 16830m2 [1,-1,0,2586,73098] 6 [-23:44:1] 16830m3 [1,-1,0,-30039,-1995427] 2 [1646:4847:8] 16830m4 [1,-1,0,-24639,-2739547] 2 [43674:133045:216]
16830n (2 curves)	0	2+ 3+ 5- 11- 17-	2+ 3+ 5-  4 11-  2 17-  4
Curve Equation t 16830n1 [1,-1,0,-744,9728] 2 16830n2 [1,-1,0,-12624,549080] 2
16830o (4 curves)	0	2+ 3+ 5- 11- 17-	2+ 3+ 5- -4 11-  2 17- -4
Curve Equation t 16830o1 [1,-1,0,-4209,-8344035] 6 16830o2 [1,-1,0,-643089,-195791427] 6 16830o3 [1,-1,0,-3243984,-2248180480] 2 16830o4 [1,-1,0,-51904464,-143918301952] 2
16830p (2 curves)	0	2+ 3- 5+ 11+ 17+	2+ 3- 5+ -2 11+ -1 17+ -5
Curve Equation t 16830p1 [1,-1,0,-21958515,-39645067019] 1 16830p2 [1,-1,0,155552085,462972313741] 1
16830q (2 curves)	2	2+ 3- 5+ 11+ 17+	2+ 3- 5+ -2 11+ -4 17+ -2
Curve Equation t Generators 16830q1 [1,-1,0,-1800,25600] 2 [-40:200:1]&[-19:239:1] 16830q2 [1,-1,0,-7920,-244904] 2 [-57:166:1]&[-55:176:1]
16830r (1 curve)	0	2+ 3- 5+ 11+ 17+	2+ 3- 5+ -4 11+ -1 17+  7
Curve Equation t 16830r1 [1,-1,0,-780,-74800] 1
16830s (2 curves)	1	2+ 3- 5+ 11+ 17-	2+ 3- 5+ -4 11+ -2 17- -2
Curve Equation t Generators 16830s1 [1,-1,0,14355,-675675] 2 [123:1653:1] 16830s2 [1,-1,0,-83565,-6374619] 2 [-177:1776:1]
16830t (6 curves)	1	2+ 3- 5+ 11- 17+	2+ 3- 5+  0 11-  6 17+  4
Curve Equation t Generators 16830t1 [1,-1,0,-65790,-6478700] 2 [1373:49214:1] 16830t2 [1,-1,0,-66510,-6329084] 4 [-168:370:1] 16830t3 [1,-1,0,-179010,20828416] 4 [-450:3404:1] 16830t4 [1,-1,0,34470,-23919800] 2 [291:3124:1] 16830t5 [1,-1,0,-2629260,1641423766] 2 [947:-127:1] 16830t6 [1,-1,0,471240,136963066] 2 [413:19841:1]
16830u (2 curves)	1	2+ 3- 5+ 11- 17+	2+ 3- 5+ -2 11- -4 17+ -6
Curve Equation t Generators 16830u1 [1,-1,0,-7920,-117504] 2 [-57:411:1] 16830u2 [1,-1,0,-105840,-13219200] 2 [-185:155:1]
16830v (1 curve)	1	2+ 3- 5+ 11- 17+	2+ 3- 5+  3 11-  0 17+ -8
Curve Equation t Generators 16830v1 [1,-1,0,-1485,22405] 1 [23:-7:1]
16830w (1 curve)	1	2+ 3- 5+ 11- 17+	2+ 3- 5+  4 11- -1 17+  3
Curve Equation t Generators 16830w1 [1,-1,0,45,135] 1 [7:24:1]
16830x (4 curves)	1	2+ 3- 5- 11+ 17+	2+ 3- 5-  0 11+ -6 17+  0
Curve Equation t Generators 16830x1 [1,-1,0,-23859,-1412235] 2 [-89:62:1] 16830x2 [1,-1,0,-26739,-1047627] 4 [-123:669:1] 16830x3 [1,-1,0,-179739,28603773] 2 [307:1359:1] 16830x4 [1,-1,0,80181,-7398675] 2 [141:2517:1]
16830y (2 curves)	1	2+ 3- 5- 11+ 17+	2+ 3- 5- -2 11+  4 17+ -2
Curve Equation t Generators 16830y1 [1,-1,0,-3969,97033] 2 [-13:389:1] 16830y2 [1,-1,0,-5499,16555] 2 [-19:347:1]
16830z (4 curves)	1	2+ 3- 5- 11+ 17+	2+ 3- 5- -4 11+ -2 17+  0
Curve Equation t Generators 16830z1 [1,-1,0,-1494,-123660] 2 [285:4605:1] 16830z2 [1,-1,0,-47574,-3966732] 4 [-123:174:1] 16830z3 [1,-1,0,-760374,-255014892] 2 [1303:30416:1] 16830z4 [1,-1,0,-72054,571860] 2 [-189:2817:1]
16830ba (2 curves)	0	2+ 3- 5- 11+ 17-	2+ 3- 5- -4 11+  4 17-  4
Curve Equation t 16830ba1 [1,-1,0,-9218484,10773772240] 2 16830ba2 [1,-1,0,-8318484,12960592240] 2
16830bb (2 curves)	0	2+ 3- 5- 11+ 17-	2+ 3- 5-  5 11+ -4 17- -4
Curve Equation t 16830bb1 [1,-1,0,-2529,-57915] 1 16830bb2 [1,-1,0,18261,403623] 3
16830bc (2 curves)	0	2+ 3- 5- 11- 17+	2+ 3- 5- -1 11- -4 17+ -4
Curve Equation t 16830bc1 [1,-1,0,-1306314,576433908] 1 16830bc2 [1,-1,0,-105884874,419398056180] 3
16830bd (4 curves)	0	2+ 3- 5- 11- 17+	2+ 3- 5-  4 11-  6 17+ -4
Curve Equation t 16830bd1 [1,-1,0,-781029,-265478715] 2 16830bd2 [1,-1,0,-781209,-265350087] 4 16830bd3 [1,-1,0,-966339,-129946005] 2 16830bd4 [1,-1,0,-598959,-392524137] 2
16830be (1 curve)	1	2+ 3- 5- 11- 17-	2+ 3- 5- -1 11- -3 17- -1
Curve Equation t Generators 16830be1 [1,-1,0,-774,-357800] 1 [194:2504:1]
16830bf (1 curve)	1	2+ 3- 5- 11- 17-	2+ 3- 5- -1 11-  4 17- -8
Curve Equation t Generators 16830bf1 [1,-1,0,-48504159,-250438219187] 1 [25427:3854474:1]
16830bg (2 curves)	1	2+ 3- 5- 11- 17-	2+ 3- 5-  4 11- -6 17-  2
Curve Equation t Generators 16830bg1 [1,-1,0,-9,985] 2 [-1:32:1] 16830bg2 [1,-1,0,-1539,23323] 2 [-13:209:1]
16830bh (4 curves)	1	2+ 3- 5- 11- 17-	2+ 3- 5- -4 11-  2 17-  2
Curve Equation t Generators 16830bh1 [1,-1,0,-18594,-2460780] 2 [144648:1895733:512] 16830bh2 [1,-1,0,-410274,-100929132] 2 [-2994:3927:8] 16830bh3 [1,-1,0,162846,57087828] 6 [-116:6110:1] 16830bh4 [1,-1,0,-1605834,682139340] 6 [51:24477:1]
16830bi (2 curves)	0	2- 3+ 5+ 11+ 17+	2- 3+ 5+  4 11+  2 17+  4
Curve Equation t 16830bi1 [1,-1,1,-83,-333] 2 16830bi2 [1,-1,1,-1403,-19869] 2
16830bj (4 curves)	0	2- 3+ 5+ 11+ 17+	2- 3+ 5+ -4 11+  2 17+ -4
Curve Equation t 16830bj1 [1,-1,1,-360443,83386091] 6 16830bj2 [1,-1,1,-5767163,5332229867] 6 16830bj3 [1,-1,1,-37883,225326827] 2 16830bj4 [1,-1,1,-5787803,5292156331] 2
16830bk (4 curves)	1	2- 3+ 5+ 11+ 17-	2- 3+ 5+ -4 11+  2 17-  2
Curve Equation t Generators 16830bk1 [1,-1,1,-3338,75017] 6 [-65:151:1] 16830bk2 [1,-1,1,-2738,102377] 6 [91:729:1] 16830bk3 [1,-1,1,-10478,-322919] 2 [-2121:3847:27] 16830bk4 [1,-1,1,23272,-1996919] 2 [5661726:32152793:74088]
16830bl (2 curves)	1	2- 3+ 5+ 11- 17+	2- 3+ 5+ -1 11-  5 17+ -1
Curve Equation t Generators 16830bl1 [1,-1,1,-1201193,507019241] 3 [543:3556:1] 16830bl2 [1,-1,1,-1124633,574389577] 1 [721:11384:1]
16830bm (2 curves)	1	2- 3+ 5- 11+ 17+	2- 3+ 5-  0 11+  0 17+  6
Curve Equation t Generators 16830bm1 [1,-1,1,-332,-1969] 2 [-11:21:1] 16830bm2 [1,-1,1,-5132,-140209] 2 [-41:21:1]
16830bn (1 curve)	1	2- 3+ 5- 11+ 17+	2- 3+ 5-  1 11+ -1 17+ -5
Curve Equation t Generators 16830bn1 [1,-1,1,-17,129] 1 [-1:12:1]
16830bo (2 curves)	1	2- 3+ 5- 11+ 17+	2- 3+ 5- -1 11+ -4 17+  2
Curve Equation t Generators 16830bo1 [1,-1,1,-857,12089] 3 [-33:76:1] 16830bo2 [1,-1,1,6343,-100871] 1 [19:152:1]
16830bp (1 curve)	0	2- 3+ 5- 11+ 17-	2- 3+ 5-  3 11+  4 17-  6
Curve Equation t 16830bp1 [1,-1,1,-2,11] 1
16830bq (2 curves)	0	2- 3+ 5- 11- 17+	2- 3+ 5-  0 11-  0 17+  2
Curve Equation t 16830bq1 [1,-1,1,-1058072,-410752229] 2 16830bq2 [1,-1,1,-2286872,723675931] 2
16830br (2 curves)	0	2- 3+ 5- 11- 17+	2- 3+ 5-  0 11-  6 17+ -4
Curve Equation t 16830br1 [1,-1,1,-17,61] 2 16830br2 [1,-1,1,-347,2569] 2
16830bs (1 curve)	1	2- 3+ 5- 11- 17-	2- 3+ 5-  1 11-  1 17- -7
Curve Equation t Generators 16830bs1 [1,-1,1,-1022,22621] 1 [151:-1891:1]
16830bt (1 curve)	1	2- 3+ 5- 11- 17-	2- 3+ 5-  1 11- -4 17- -2
Curve Equation t Generators 16830bt1 [1,-1,1,158218,-66394619] 1 [391:7229:1]
16830bu (2 curves)	1	2- 3+ 5- 11- 17-	2- 3+ 5-  2 11- -6 17-  4
Curve Equation t Generators 16830bu1 [1,-1,1,-362,-2151] 2 [-13:21:1] 16830bu2 [1,-1,1,658,-12759] 2 [21:89:1]
16830bv (2 curves)	1	2- 3+ 5- 11- 17-	2- 3+ 5- -4 11- -4 17- -2
Curve Equation t Generators 16830bv1 [1,-1,1,-2243972,1294002919] 2 [-983:50981:1] 16830bv2 [1,-1,1,-1931852,1666549351] 2 [-949:51899:1]
16830bw (2 curves)	1	2- 3+ 5- 11- 17-	2- 3+ 5- -4 11-  6 17- -2
Curve Equation t Generators 16830bw1 [1,-1,1,-130157,-6258219] 2 [-81:-1896:1] 16830bw2 [1,-1,1,484243,-48774699] 2 [239:8856:1]
16830bx (1 curve)	1	2- 3- 5+ 11+ 17+	2- 3- 5+ -1 11+  5 17+ -5
Curve Equation t Generators 16830bx1 [1,-1,1,6997,3334331] 1 [93:2140:1]
16830by (2 curves)	1	2- 3- 5+ 11+ 17+	2- 3- 5+  2 11+ -4 17+ -8
Curve Equation t Generators 16830by1 [1,-1,1,-68,-7513] 2 [27:85:1] 16830by2 [1,-1,1,-6188,-183769] 2 [-45:67:1]
16830bz (2 curves)	1	2- 3- 5+ 11+ 17+	2- 3- 5+ -4 11+  2 17+ -2
Curve Equation t Generators 16830bz1 [1,-1,1,-398,3421] 2 [11:11:1] 16830bz2 [1,-1,1,-6518,204157] 2 [43:23:1]
16830ca (4 curves)	0	2- 3- 5+ 11+ 17-	2- 3- 5+  0 11+  2 17-  4
Curve Equation t 16830ca1 [1,-1,1,-471398,124669797] 4 16830ca2 [1,-1,1,-523418,95496981] 4 16830ca3 [1,-1,1,-3392168,-2332613019] 2 16830ca4 [1,-1,1,1513012,655922517] 2
16830cb (1 curve)	0	2- 3- 5+ 11+ 17-	2- 3- 5+  3 11+ -1 17- -5
Curve Equation t 16830cb1 [1,-1,1,-38183,-2935713] 1
16830cc (4 curves)	0	2- 3- 5+ 11+ 17-	2- 3- 5+  4 11+  2 17-  4
Curve Equation t 16830cc1 [1,-1,1,67,1397] 2 16830cc2 [1,-1,1,-1553,22781] 4 16830cc3 [1,-1,1,-4523,-87703] 2 16830cc4 [1,-1,1,-24503,1482401] 2
16830cd (8 curves)	0	2- 3- 5+ 11+ 17-	2- 3- 5+ -4 11+  2 17- -4
Curve Equation t 16830cd1 [1,-1,1,390352,39622547] 2 16830cd2 [1,-1,1,-1709168,331875731] 4 16830cd3 [1,-1,1,-7027223,7346695727] 6 16830cd4 [1,-1,1,-14646488,-21340722733] 2 16830cd5 [1,-1,1,-22364168,40683483731] 2 16830cd6 [1,-1,1,-113195543,463573200431] 12 16830cd7 [1,-1,1,-113955863,457030494767] 6 16830cd8 [1,-1,1,-1811128343,29667338187311] 6
16830ce (4 curves)	0	2- 3- 5+ 11- 17+	2- 3- 5+  2 11- -4 17+  8
Curve Equation t 16830ce1 [1,-1,1,-395078,-161669419] 2 16830ce2 [1,-1,1,-7469798,-7853305003] 2 16830ce3 [1,-1,1,3311347,2920827701] 6 16830ce4 [1,-1,1,-21756173,29362047797] 6
16830cf (4 curves)	1	2- 3- 5+ 11- 17-	2- 3- 5+  0 11-  2 17-  4
Curve Equation t Generators 16830cf1 [1,-1,1,-31928,368187] 2 [-115:1641:1] 16830cf2 [1,-1,1,-319928,-69212613] 4 [-337:663:1] 16830cf3 [1,-1,1,-5111528,-4446818373] 2 [-1305:663:1] 16830cf4 [1,-1,1,-136328,-148234053] 2 [887:20247:1]
16830cg (2 curves)	1	2- 3- 5+ 11- 17-	2- 3- 5+ -1 11- -1 17- -7
Curve Equation t Generators 16830cg1 [1,-1,1,-923,-10753] 1 [51:244:1] 16830cg2 [1,-1,1,3802,-50443] 3 [15:91:1]
16830ch (2 curves)	1	2- 3- 5+ 11- 17-	2- 3- 5+  2 11- -4 17- -6
Curve Equation t Generators 16830ch1 [1,-1,1,-104603,12982731] 2 [35:3042:1] 16830ch2 [1,-1,1,-1671323,832063947] 2 [755:18:1]
16830ci (1 curve)	1	2- 3- 5+ 11- 17-	2- 3- 5+ -3 11- -4 17-  4
Curve Equation t Generators 16830ci1 [1,-1,1,15907,-115473] 1 [4340:69969:64]
16830cj (1 curve)	0	2- 3- 5- 11+ 17+	2- 3- 5-  0 11+ -3 17+  3
Curve Equation t 16830cj1 [1,-1,1,688,107291] 1
16830ck (2 curves)	0	2- 3- 5- 11+ 17+	2- 3- 5- -2 11+  0 17+  0
Curve Equation t 16830ck1 [1,-1,1,238,-1299] 2 16830ck2 [1,-1,1,-1292,-11091] 2
16830cl (1 curve)	0	2- 3- 5- 11+ 17+	2- 3- 5- -2 11+  5 17+ -5
Curve Equation t 16830cl1 [1,-1,1,-2642,-52239] 1
16830cm (1 curve)	0	2- 3- 5- 11+ 17+	2- 3- 5-  3 11+  0 17+  0
Curve Equation t 16830cm1 [1,-1,1,-667415102,-6636925688371] 1
16830cn (2 curves)	0	2- 3- 5- 11+ 17+	2- 3- 5-  4 11+ -4 17+  4
Curve Equation t 16830cn1 [1,-1,1,-797,7521] 2 16830cn2 [1,-1,1,1453,40821] 2
16830co (4 curves)	1	2- 3- 5- 11+ 17-	2- 3- 5-  0 11+ -2 17-  0
Curve Equation t Generators 16830co1 [1,-1,1,-1247,14519] 4 [-23:186:1] 16830co2 [1,-1,1,-5747,-152881] 4 [-41:132:1] 16830co3 [1,-1,1,-89897,-10351861] 2 [-88312:45461:512] 16830co4 [1,-1,1,6403,-721501] 2 [2102:33861:8]
16830cp (4 curves)	1	2- 3- 5- 11+ 17-	2- 3- 5-  2 11+ -4 17-  2
Curve Equation t Generators 16830cp1 [1,-1,1,-168557,-26593711] 2 [786843:23206294:729] 16830cp2 [1,-1,1,-170087,-26085139] 2 [-2082:6707:8] 16830cp3 [1,-1,1,-214592,-10892509] 6 [-399:3529:1] 16830cp4 [1,-1,1,-1983272,1067294819] 6 [-1473:28861:1]
16830cq (1 curve)	1	2- 3- 5- 11+ 17-	2- 3- 5- -3 11+  1 17- -3
Curve Equation t Generators 16830cq1 [1,-1,1,-827447,785998991] 1 [8259:742366:1]
16830cr (1 curve)	1	2- 3- 5- 11- 17+	2- 3- 5-  0 11- -3 17+ -1
Curve Equation t Generators 16830cr1 [1,-1,1,-331517,73553221] 1 [239:2696:1]
16830cs (2 curves)	1	2- 3- 5- 11- 17+	2- 3- 5-  0 11-  4 17+ -8
Curve Equation t Generators 16830cs1 [1,-1,1,-76532,-8129869] 2 [3798:61277:8] 16830cs2 [1,-1,1,-74282,-8632069] 2 [921672:38155343:512]
16830ct (2 curves)	1	2- 3- 5- 11- 17+	2- 3- 5-  0 11- -6 17+  2
Curve Equation t Generators 16830ct1 [1,-1,1,4813,24211] 2 [31:434:1] 16830ct2 [1,-1,1,-19667,210259] 2 [-83:1166:1]
16830cu (1 curve)	1	2- 3- 5- 11- 17+	2- 3- 5-  1 11-  0 17+  4
Curve Equation t Generators 16830cu1 [1,-1,1,238,6801] 1 [-1:81:1]
16830cv (2 curves)	1	2- 3- 5- 11- 17+	2- 3- 5- -2 11-  0 17+ -8
Curve Equation t Generators 16830cv1 [1,-1,1,-205097,196020969] 2 [1607:-64164:1] 16830cv2 [1,-1,1,-6471977,6315002601] 2 [6551:-498276:1]
16830cw (1 curve)	1	2- 3- 5- 11- 17+	2- 3- 5- -3 11- -5 17+  7
Curve Equation t Generators 16830cw1 [1,-1,1,-25772,1942319] 1 [117:-779:1]
16830cx (2 curves)	1	2- 3- 5- 11- 17+	2- 3- 5- -4 11-  5 17+ -1
Curve Equation t Generators 16830cx1 [1,-1,1,-175532,-28262311] 1 [5435334:142144577:5832] 16830cx2 [1,-1,1,-151817,-36190159] 3 [7981:708094:1]
16830cy (4 curves)	0	2- 3- 5- 11- 17-	2- 3- 5-  0 11- -6 17-  8
Curve Equation t 16830cy1 [1,-1,1,-257,-5871] 2 16830cy2 [1,-1,1,-6737,-210639] 4 16830cy3 [1,-1,1,-107717,-13580391] 2 16830cy4 [1,-1,1,-9437,-23799] 4

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