Cremona's table of elliptic curves

34320 = 2⁴ · 3 · 5 · 11 · 13

Class	r	Atkin-Lehner	Eigenvalues
34320a (4 curves)	0	2+ 3+ 5+ 11+ 13-	2+ 3+ 5+  0 11+ 13-  2 -8
Curve Equation t 34320a1 [0,-1,0,-111,210] 2 34320a2 [0,-1,0,-956,-10944] 4 34320a3 [0,-1,0,-176,-29040] 2 34320a4 [0,-1,0,-15256,-720224] 2
34320b (2 curves)	0	2+ 3+ 5+ 11- 13+	2+ 3+ 5+  2 11- 13+ -6  0
Curve Equation t 34320b1 [0,-1,0,44,-800] 2 34320b2 [0,-1,0,-1056,-12240] 2
34320c (2 curves)	1	2+ 3+ 5+ 11- 13-	2+ 3+ 5+ -4 11- 13-  4 -6
Curve Equation t Generators 34320c1 [0,-1,0,1464,-27264] 2 [38:-286:1] 34320c2 [0,-1,0,-9536,-264864] 2 [-44:260:1]
34320d (4 curves)	0	2+ 3+ 5- 11+ 13+	2+ 3+ 5-  0 11+ 13+ -2  4
Curve Equation t 34320d1 [0,-1,0,25,-330] 2 34320d2 [0,-1,0,-580,-4928] 4 34320d3 [0,-1,0,-1680,20592] 2 34320d4 [0,-1,0,-9160,-334400] 2
34320e (2 curves)	0	2+ 3+ 5- 11+ 13+	2+ 3+ 5- -2 11+ 13+ -6 -4
Curve Equation t 34320e1 [0,-1,0,-1072620,429354432] 2 34320e2 [0,-1,0,-17177720,27408617952] 2
34320f (2 curves)	1	2+ 3+ 5- 11- 13+	2+ 3+ 5-  0 11- 13+  0 -2
Curve Equation t Generators 34320f1 [0,-1,0,-18320,962832] 2 [94:250:1] 34320f2 [0,-1,0,-293320,61242832] 2 [274:1170:1]
34320g (4 curves)	1	2+ 3+ 5- 11- 13+	2+ 3+ 5-  0 11- 13+  2  0
Curve Equation t Generators 34320g1 [0,-1,0,28105,-12716118] 2 [4694:-321750:1] 34320g2 [0,-1,0,-675020,-203122368] 4 [-508:2904:1] 34320g3 [0,-1,0,-1942520,784513632] 4 [-1362:30030:1] 34320g4 [0,-1,0,-10657520,-13388008368] 2 [-1883:154:1]
34320h (4 curves)	1	2+ 3+ 5- 11- 13+	2+ 3+ 5-  0 11- 13+ -2 -4
Curve Equation t Generators 34320h1 [0,-1,0,-60,-2880] 2 [116:1240:1] 34320h2 [0,-1,0,-3440,-75888] 4 [-32:20:1] 34320h3 [0,-1,0,-6040,57232] 2 [-48:484:1] 34320h4 [0,-1,0,-54920,-4935600] 2 [490:9250:1]
34320i (1 curve)	1	2+ 3+ 5- 11- 13+	2+ 3+ 5-  0 11- 13+  7  5
Curve Equation t Generators 34320i1 [0,-1,0,825575,-837992363] 1 [27282714884401071448506892:-2012506205614822156199017761:5131588326792197191111]
34320j (1 curve)	1	2+ 3+ 5- 11- 13+	2+ 3+ 5- -1 11- 13+  4  1
Curve Equation t Generators 34320j1 [0,-1,0,-7920,-405600] 1 [140:1100:1]
34320k (4 curves)	1	2+ 3+ 5- 11- 13+	2+ 3+ 5- -4 11- 13+ -2  4
Curve Equation t Generators 34320k1 [0,-1,0,-55,16822] 2 [-6:130:1] 34320k2 [0,-1,0,-10180,393472] 4 [9:550:1] 34320k3 [0,-1,0,-20080,-485648] 2 [-27:190:1] 34320k4 [0,-1,0,-162280,25216192] 4 [112:2904:1]
34320l (4 curves)	0	2+ 3- 5+ 11+ 13+	2+ 3- 5+  0 11+ 13+  2  4
Curve Equation t 34320l1 [0,1,0,-151,-760] 2 34320l2 [0,1,0,-276,540] 4 34320l3 [0,1,0,1024,5220] 2 34320l4 [0,1,0,-3576,81060] 2
34320m (2 curves)	0	2+ 3- 5+ 11+ 13+	2+ 3- 5+  2 11+ 13+  0 -2
Curve Equation t 34320m1 [0,1,0,584,75620] 2 34320m2 [0,1,0,-23616,1343700] 2
34320n (2 curves)	0	2+ 3- 5+ 11+ 13+	2+ 3- 5+  2 11+ 13+ -6 -8
Curve Equation t 34320n1 [0,1,0,132124,-5625060] 2 34320n2 [0,1,0,-555376,-46600060] 2
34320o (1 curve)	0	2+ 3- 5+ 11+ 13+	2+ 3- 5+ -4 11+ 13+  3  7
Curve Equation t 34320o1 [0,1,0,2839,-2621085] 1
34320p (4 curves)	2	2+ 3- 5+ 11+ 13+	2+ 3- 5+ -4 11+ 13+ -6 -4
Curve Equation t Generators 34320p1 [0,1,0,-6436,196604] 2 [47:12:1]&[95:672:1] 34320p2 [0,1,0,-6456,195300] 4 [72:-330:1]&[-54:624:1] 34320p3 [0,1,0,-1056,517140] 2 [36:-726:1]&[-36:714:1] 34320p4 [0,1,0,-12176,-209676] 2 [142:972:1]&[-74:540:1]
34320q (4 curves)	1	2+ 3- 5+ 11+ 13-	2+ 3- 5+  0 11+ 13-  6 -4
Curve Equation t Generators 34320q1 [0,1,0,-11791,488384] 2 [80:252:1] 34320q2 [0,1,0,-14916,205884] 4 [-30:792:1] 34320q3 [0,1,0,56584,1664484] 4 [-26:420:1] 34320q4 [0,1,0,-136416,-19282716] 2 [-216:390:1]
34320r (1 curve)	1	2+ 3- 5+ 11+ 13-	2+ 3- 5+ -3 11+ 13-  0 -1
Curve Equation t Generators 34320r1 [0,1,0,-201136,34657844] 1 [182:-2028:1]
34320s (2 curves)	1	2+ 3- 5+ 11- 13+	2+ 3- 5+  2 11- 13+ -4  2
Curve Equation t Generators 34320s1 [0,1,0,-1538696,-8952029820] 2 [4984:327426:1] 34320s2 [0,1,0,-74743696,-246985407820] 2 [10484:349074:1]
34320t (4 curves)	0	2+ 3- 5+ 11- 13-	2+ 3- 5+  4 11- 13- -2 -4
Curve Equation t 34320t1 [0,1,0,-91356,-14498100] 2 34320t2 [0,1,0,-1603856,-782243100] 4 34320t3 [0,1,0,-1746856,-634609900] 2 34320t4 [0,1,0,-25660856,-50041356300] 2
34320u (4 curves)	0	2+ 3- 5+ 11- 13-	2+ 3- 5+  4 11- 13-  6  4
Curve Equation t 34320u1 [0,1,0,-98636,12793164] 2 34320u2 [0,1,0,-1611136,786588164] 4 34320u3 [0,1,0,-1644136,752650964] 2 34320u4 [0,1,0,-25778136,50367605364] 2
34320v (4 curves)	0	2+ 3- 5+ 11- 13-	2+ 3- 5+ -4 11- 13-  6  4
Curve Equation t 34320v1 [0,1,0,164,-2740] 2 34320v2 [0,1,0,-2256,-38556] 4 34320v3 [0,1,0,-7976,229140] 2 34320v4 [0,1,0,-35256,-2559756] 2
34320w (2 curves)	1	2+ 3- 5- 11+ 13+	2+ 3- 5-  2 11+ 13+  0 -2
Curve Equation t Generators 34320w1 [0,1,0,-1600,-25852] 2 [1992:13850:27] 34320w2 [0,1,0,-25800,-1603692] 2 [882:25740:1]
34320x (2 curves)	0	2+ 3- 5- 11- 13+	2+ 3- 5-  2 11- 13+  2 -4
Curve Equation t 34320x1 [0,1,0,-60,300] 2 34320x2 [0,1,0,-1160,14820] 2
34320y (6 curves)	1	2+ 3- 5- 11- 13-	2+ 3- 5-  0 11- 13-  2 -4
Curve Equation t Generators 34320y1 [0,1,0,-9295,-348040] 2 [7896:126728:27] 34320y2 [0,1,0,-9300,-347652] 4 [138:1008:1] 34320y3 [0,1,0,-6000,-594492] 2 [8612:65667:64] 34320y4 [0,1,0,-12680,-75900] 8 [-105:330:1] 34320y5 [0,1,0,50240,-554092] 4 [38:1188:1] 34320y6 [0,1,0,-129680,17848500] 4 [268:1554:1]
34320z (4 curves)	0	2- 3+ 5+ 11+ 13+	2- 3+ 5+  0 11+ 13+  2  4
Curve Equation t 34320z1 [0,-1,0,-536,-59664] 2 34320z2 [0,-1,0,-26456,-1635600] 4 34320z3 [0,-1,0,-45176,1000176] 2 34320z4 [0,-1,0,-422456,-105546000] 2
34320ba (4 curves)	2	2- 3+ 5+ 11+ 13+	2- 3+ 5+  0 11+ 13+ -6 -4
Curve Equation t Generators 34320ba1 [0,-1,0,-736,-7424] 2 [-15:4:1]&[33:56:1] 34320ba2 [0,-1,0,-1056,0] 4 [-27:90:1]&[-22:110:1] 34320ba3 [0,-1,0,4224,-4224] 2 [26:350:1]&[50:574:1] 34320ba4 [0,-1,0,-11456,474240] 2 [-104:728:1]&[-56:968:1]
34320bb (2 curves)	1	2- 3+ 5+ 11+ 13-	2- 3+ 5+  1 11+ 13-  0  7
Curve Equation t Generators 34320bb1 [0,-1,0,-65176,25112176] 1 [228:4696:1] 34320bb2 [0,-1,0,-8832616,10106727280] 1 [1716:-208:1]
34320bc (2 curves)	1	2- 3+ 5+ 11+ 13-	2- 3+ 5+  2 11+ 13- -6  4
Curve Equation t Generators 34320bc1 [0,-1,0,4784,-440384] 2 [146:1830:1] 34320bc2 [0,-1,0,-65616,-5903424] 2 [8166:36478:27]
34320bd (1 curve)	1	2- 3+ 5+ 11- 13+	2- 3+ 5+ -1 11- 13+  4 -1
Curve Equation t Generators 34320bd1 [0,-1,0,159624,20392560] 1 [860:28160:1]
34320be (4 curves)	0	2- 3+ 5+ 11- 13-	2- 3+ 5+  0 11- 13-  6 -4
Curve Equation t 34320be1 [0,-1,0,17504,1918720] 2 34320be2 [0,-1,0,-166816,22710016] 4 34320be3 [0,-1,0,-715936,-210556160] 2 34320be4 [0,-1,0,-2566816,1583670016] 4
34320bf (1 curve)	0	2- 3+ 5+ 11- 13-	2- 3+ 5+ -3 11- 13-  0  5
Curve Equation t 34320bf1 [0,-1,0,-96,-384] 1
34320bg (4 curves)	0	2- 3+ 5+ 11- 13-	2- 3+ 5+  4 11- 13-  0 -2
Curve Equation t 34320bg1 [0,-1,0,14118864,378412134336] 2 34320bg2 [0,-1,0,-706777136,7023919820736] 2 34320bg3 [0,-1,0,-3549155376,81398318362560] 2 34320bg4 [0,-1,0,-56789155376,5208921422362560] 2
34320bh (6 curves)	0	2- 3+ 5- 11+ 13-	2- 3+ 5-  0 11+ 13-  2 -4
Curve Equation t 34320bh1 [0,-1,0,-45440,-1609728] 2 34320bh2 [0,-1,0,-373120,86732800] 4 34320bh3 [0,-1,0,-40320,235560960] 2 34320bh4 [0,-1,0,-5948800,5586583552] 8 34320bh5 [0,-1,0,-5927680,5628198400] 4 34320bh6 [0,-1,0,-95180800,357446205952] 4
34320bi (2 curves)	0	2- 3+ 5- 11+ 13-	2- 3+ 5-  0 11+ 13- -4  2
Curve Equation t 34320bi1 [0,-1,0,-10680,-566928] 2 34320bi2 [0,-1,0,-186680,-30979728] 2
34320bj (2 curves)	0	2- 3+ 5- 11- 13+	2- 3+ 5-  4 11- 13+  4  2
Curve Equation t 34320bj1 [0,-1,0,-1880,-99600] 2 34320bj2 [0,-1,0,-45880,-3760400] 2
34320bk (2 curves)	1	2- 3+ 5- 11- 13-	2- 3+ 5-  1 11- 13-  0 -5
Curve Equation t Generators 34320bk1 [0,-1,0,-1320,158832] 1 [164:2080:1] 34320bk2 [0,-1,0,-266520,53049072] 1 [332:1024:1]
34320bl (2 curves)	1	2- 3+ 5- 11- 13-	2- 3+ 5- -2 11- 13-  2 -8
Curve Equation t Generators 34320bl1 [0,-1,0,-280,-2000] 2 [42:242:1] 34320bl2 [0,-1,0,-4680,-121680] 2 [82:198:1]
34320bm (4 curves)	1	2- 3+ 5- 11- 13-	2- 3+ 5- -2 11- 13-  6  4
Curve Equation t Generators 34320bm1 [0,-1,0,-9560,4143600] 2 [370:7150:1] 34320bm2 [0,-1,0,-449560,115375600] 2 [10:10530:1] 34320bm3 [0,-1,0,-2271560,1318537200] 2 [820:2560:1] 34320bm4 [0,-1,0,-36345160,84349085680] 2 [3442:3978:1]
34320bn (8 curves)	1	2- 3+ 5- 11- 13-	2- 3+ 5-  4 11- 13- -6  4
Curve Equation t Generators 34320bn1 [0,-1,0,-182720,28818432] 2 [337:2324:1] 34320bn2 [0,-1,0,-510400,-103040000] 4 [-278:4158:1] 34320bn3 [0,-1,0,-14621120,21523725312] 2 [2257:4004:1] 34320bn4 [0,-1,0,1286720,-668054528] 4 [6378:516670:1] 34320bn5 [0,-1,0,-7550400,-7982208000] 2 [6682:489762:1] 34320bn6 [0,-1,0,-14622400,21519769600] 4 [1162:78078:1] 34320bn7 [0,-1,0,-12513280,27943305472] 4 [-3856:137280:1] 34320bn8 [0,-1,0,-16752000,14843047680] 2 [3802:78078:1]
34320bo (4 curves)	1	2- 3+ 5- 11- 13-	2- 3+ 5- -4 11- 13-  2 -4
Curve Equation t Generators 34320bo1 [0,-1,0,-720,7680] 2 [17:8:1] 34320bo2 [0,-1,0,-800,5952] 4 [-16:120:1] 34320bo3 [0,-1,0,2320,38400] 4 [10:250:1] 34320bo4 [0,-1,0,-5200,-138368] 2 [-38:54:1]
34320bp (1 curve)	1	2- 3+ 5- 11- 13-	2- 3+ 5- -4 11- 13-  5  5
Curve Equation t Generators 34320bp1 [0,-1,0,-6258725,-6067317363] 1 [93237212:2104578531:29791]
34320bq (1 curve)	1	2- 3- 5+ 11+ 13+	2- 3- 5+  0 11+ 13+  3  3
Curve Equation t Generators 34320bq1 [0,1,0,-53378781,150093116919] 1 [4275:6738:1]
34320br (4 curves)	1	2- 3- 5+ 11+ 13+	2- 3- 5+  0 11+ 13+  6  0
Curve Equation t Generators 34320br1 [0,1,0,-27993096,-20884113420] 2 [-1885089944490492:-105889961650995730:563355317979] 34320br2 [0,1,0,-363537416,-2665912879116] 4 [86822433561368663594050392989044:-8792114115033617659409121737718006:3190504560745374793210418857] 34320br3 [0,1,0,-280470536,-3916468144140] 2 [137192258407309217312630055396227697098841057721255883125260430596:-14282618711684344998631480229600071207939812189315314169923759034606:5123858906945749005818282310272480713480249620440621280203261] 34320br4 [0,1,0,-5815313416,-170691829909516] 2 [14004703367753416094:-13436640166621273854720:15107691357361]
34320bs (2 curves)	1	2- 3- 5+ 11+ 13+	2- 3- 5+ -2 11+ 13+ -4  2
Curve Equation t Generators 34320bs1 [0,1,0,-16123856,24964266900] 2 [1612:56250:1] 34320bs2 [0,1,0,-258123856,1596125066900] 2 [9266:1584:1]
34320bt (4 curves)	1	2- 3- 5+ 11+ 13+	2- 3- 5+  4 11+ 13+  2 -4
Curve Equation t Generators 34320bt1 [0,1,0,-1056,9204] 2 [3428:21147:64] 34320bt2 [0,1,0,-6176,-181260] 4 [207:2730:1] 34320bt3 [0,1,0,3424,-684300] 2 [51774:807191:216] 34320bt4 [0,1,0,-97696,-11785996] 2 [9813:24850:27]
34320bu (1 curve)	1	2- 3- 5+ 11+ 13+	2- 3- 5+ -5 11+ 13+ -4  5
Curve Equation t Generators 34320bu1 [0,1,0,824,6260] 1 [14:-144:1]
34320bv (4 curves)	0	2- 3- 5+ 11+ 13-	2- 3- 5+  0 11+ 13- -2  4
Curve Equation t 34320bv1 [0,1,0,129304,68126004] 2 34320bv2 [0,1,0,-1918696,943850804] 4 34320bv3 [0,1,0,-6565096,-5395697356] 2 34320bv4 [0,1,0,-30040296,63362554164] 2
34320bw (1 curve)	0	2- 3- 5+ 11+ 13-	2- 3- 5+  0 11+ 13- -7 -1
Curve Equation t 34320bw1 [0,1,0,-31941,-2208141] 1
34320bx (4 curves)	0	2- 3- 5+ 11+ 13-	2- 3- 5+  4 11+ 13-  2  0
Curve Equation t 34320bx1 [0,1,0,-39176,6999540] 2 34320bx2 [0,1,0,-839176,295319540] 4 34320bx3 [0,1,0,-1055176,131245940] 2 34320bx4 [0,1,0,-13423176,18924673140] 4
34320by (2 curves)	1	2- 3- 5+ 11- 13-	2- 3- 5+  2 11- 13-  2 -4
Curve Equation t Generators 34320by1 [0,1,0,-2496,-225996] 2 [164:1950:1] 34320by2 [0,1,0,-72896,-7575756] 2 [8652:38870:27]
34320bz (2 curves)	1	2- 3- 5+ 11- 13-	2- 3- 5+  2 11- 13- -2  0
Curve Equation t Generators 34320bz1 [0,1,0,-29216,1938420] 2 [52:750:1] 34320bz2 [0,1,0,-469216,123554420] 2 [356:1326:1]
34320ca (4 curves)	1	2- 3- 5+ 11- 13-	2- 3- 5+ -4 11- 13-  6 -4
Curve Equation t Generators 34320ca1 [0,1,0,344,139700] 2 [-28:330:1] 34320ca2 [0,1,0,-38376,2819124] 4 [-18:1872:1] 34320ca3 [0,1,0,-85896,-5601420] 2 [-84:1014:1] 34320ca4 [0,1,0,-610376,183342324] 2 [454:120:1]
34320cb (2 curves)	0	2- 3- 5- 11+ 13+	2- 3- 5- -2 11+ 13+  4  2
Curve Equation t 34320cb1 [0,1,0,1188600,156698100] 2 34320cb2 [0,1,0,-5006600,1279268340] 2
34320cc (1 curve)	0	2- 3- 5- 11+ 13+	2- 3- 5-  4 11+ 13+  3 -1
Curve Equation t 34320cc1 [0,1,0,155,83] 1
34320cd (8 curves)	1	2- 3- 5- 11+ 13-	2- 3- 5-  0 11+ 13-  2 -4
Curve Equation t Generators 34320cd1 [0,1,0,-71374880,-232119015372] 2 [25880638:7062524160:343] 34320cd2 [0,1,0,-71374960,-232118469100] 4 [10490:416640:1] 34320cd3 [0,1,0,-70204960,-240094593100] 2 [5363080:213531255:512] 34320cd4 [0,1,0,-72546240,-224107382412] 8 [-5829:27300:1] 34320cd5 [0,1,0,59963280,-950842593900] 4 [31860:5770650:1] 34320cd6 [0,1,0,-223796240,1015356117588] 8 [-16724:284310:1] 34320cd7 [0,1,0,497913760,6215421009588] 4 [-10124:370110:1] 34320cd8 [0,1,0,-3365506240,75143375225588] 4 [33716:19890:1]
34320ce (2 curves)	1	2- 3- 5- 11+ 13-	2- 3- 5-  2 11+ 13- -6  0
Curve Equation t Generators 34320ce1 [0,1,0,760,-4812] 2 [28:-198:1] 34320ce2 [0,1,0,-3640,-45292] 2 [-52:78:1]
34320cf (4 curves)	1	2- 3- 5- 11+ 13-	2- 3- 5- -4 11+ 13-  6  0
Curve Equation t Generators 34320cf1 [0,1,0,-1161880,481660628] 2 [631:390:1] 34320cf2 [0,1,0,-1161960,481590900] 4 [20010:-143000:27] 34320cf3 [0,1,0,-1013240,609549588] 4 [-1154:15600:1] 34320cf4 [0,1,0,-1311960,349170900] 2 [260:5070:1]
34320cg (4 curves)	1	2- 3- 5- 11- 13+	2- 3- 5-  0 11- 13+  6 -4
Curve Equation t Generators 34320cg1 [0,1,0,-2120,143220] 2 [-2:384:1] 34320cg2 [0,1,0,-56200,5096948] 4 [-34:2640:1] 34320cg3 [0,1,0,-79080,530100] 2 [-42:1944:1] 34320cg4 [0,1,0,-898600,327567668] 2 [548:42:1]
34320ch (2 curves)	1	2- 3- 5- 11- 13+	2- 3- 5-  2 11- 13+ -4 -6
Curve Equation t Generators 34320ch1 [0,1,0,395,4850] 2 [50:-390:1] 34320ch2 [0,1,0,-2980,49400] 2 [-25:330:1]
34320ci (2 curves)	1	2- 3- 5- 11- 13+	2- 3- 5-  2 11- 13+ -4 -6
Curve Equation t Generators 34320ci1 [0,1,0,-695560,-319386892] 2 [1886:-71280:1] 34320ci2 [0,1,0,-12408360,-16825064652] 2 [-2052:858:1]
34320cj (1 curve)	1	2- 3- 5- 11- 13+	2- 3- 5-  4 11- 13+ -1  1
Curve Equation t Generators 34320cj1 [0,1,0,-445,-6025] 1 [35:150:1]
34320ck (1 curve)	1	2- 3- 5- 11- 13+	2- 3- 5- -5 11- 13+ -4  1
Curve Equation t Generators 34320ck1 [0,1,0,8359720,4483598100] 1 [15510:1966080:1]
34320cl (4 curves)	0	2- 3- 5- 11- 13-	2- 3- 5-  4 11- 13-  6  8
Curve Equation t 34320cl1 [0,1,0,1040,17108] 2 34320cl2 [0,1,0,-6960,167508] 4 34320cl3 [0,1,0,-38160,-2740332] 2 34320cl4 [0,1,0,-103760,12828948] 4
34320cm (4 curves)	0	2- 3- 5- 11- 13-	2- 3- 5- -4 11- 13- -2  0
Curve Equation t 34320cm1 [0,1,0,-1355012880,-19693451643372] 2 34320cm2 [0,1,0,-21835012880,-1241882507643372] 4 34320cm3 [0,1,0,-21989892880,-1223370816379372] 4 34320cm4 [0,1,0,-349360132880,-79480166102907372] 2

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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