Cremona's table of elliptic curves

8190 = 2 · 3² · 5 · 7 · 13

Class	r	Atkin-Lehner	Eigenvalues
8190a (2 curves)	1	2+ 3+ 5+ 7+ 13+	2+ 3+ 5+ 7+  4 13+ -6  0
Curve Equation t Generators 8190a1 [1,-1,0,30,0] 2 [3:9:1] 8190a2 [1,-1,0,-120,90] 2 [-9:24:1]
8190b (4 curves)	1	2+ 3+ 5+ 7- 13-	2+ 3+ 5+ 7-  6 13-  0 -4
Curve Equation t Generators 8190b1 [1,-1,0,-8790,319140] 6 [2958:53667:8] 8190b2 [1,-1,0,-140610,20329416] 6 [-212:6476:1] 8190b3 [1,-1,0,-31605,-1815499] 2 [-70:259:1] 8190b4 [1,-1,0,-143925,19323125] 2 [-62:5323:1]
8190c (2 curves)	1	2+ 3+ 5- 7+ 13-	2+ 3+ 5- 7+  0 13-  2  0
Curve Equation t Generators 8190c1 [1,-1,0,1311,21245] 2 [-11:79:1] 8190c2 [1,-1,0,-8289,215165] 2 [19:244:1]
8190d (2 curves)	1	2+ 3+ 5- 7+ 13-	2+ 3+ 5- 7+  0 13- -4 -6
Curve Equation t Generators 8190d1 [1,-1,0,-1029,-2047] 2 [-28:79:1] 8190d2 [1,-1,0,4041,-19285] 2 [11:157:1]
8190e (2 curves)	1	2+ 3+ 5- 7- 13+	2+ 3+ 5- 7-  2 13+  4  0
Curve Equation t Generators 8190e1 [1,-1,0,-159,-515] 2 [-6:17:1] 8190e2 [1,-1,0,-939,10873] 2 [-16:155:1]
8190f (2 curves)	1	2+ 3+ 5- 7- 13+	2+ 3+ 5- 7- -2 13+ -4 -4
Curve Equation t Generators 8190f1 [1,-1,0,-30444,1941200] 2 [56:612:1] 8190f2 [1,-1,0,-479724,128009168] 2 [232:5284:1]
8190g (2 curves)	0	2+ 3- 5+ 7+ 13+	2+ 3- 5+ 7+  2 13+  8  4
Curve Equation t 8190g1 [1,-1,0,-2070,-8204] 2 8190g2 [1,-1,0,8010,-70700] 2
8190h (2 curves)	0	2+ 3- 5+ 7+ 13+	2+ 3- 5+ 7+ -2 13+  4  4
Curve Equation t 8190h1 [1,-1,0,-18495,-963495] 2 8190h2 [1,-1,0,-17865,-1032669] 2
8190i (2 curves)	0	2+ 3- 5+ 7+ 13+	2+ 3- 5+ 7+ -2 13+ -6 -6
Curve Equation t 8190i1 [1,-1,0,-20766060,36426664656] 2 8190i2 [1,-1,0,-19567980,40813794000] 2
8190j (2 curves)	0	2+ 3- 5+ 7+ 13+	2+ 3- 5+ 7+  4 13+  0 -6
Curve Equation t 8190j1 [1,-1,0,-10305,-324675] 2 8190j2 [1,-1,0,-50625,4102461] 2
8190k (6 curves)	1	2+ 3- 5+ 7+ 13-	2+ 3- 5+ 7+  4 13- -2  4
Curve Equation t Generators 8190k1 [1,-1,0,-3375,-74579] 2 [-33:23:1] 8190k2 [1,-1,0,-4095,-39875] 4 [-45:250:1] 8190k3 [1,-1,0,-34515,2448481] 4 [-52:2051:1] 8190k4 [1,-1,0,14805,-315815] 2 [63:898:1] 8190k5 [1,-1,0,-550485,157342675] 2 [431:-130:1] 8190k6 [1,-1,0,-5265,6444031] 2 [-13:2558:1]
8190l (8 curves)	1	2+ 3- 5+ 7+ 13-	2+ 3- 5+ 7+ -4 13- -2 -4
Curve Equation t Generators 8190l1 [1,-1,0,-195840,-33751040] 2 [1374432768:-85258016512:357911] 8190l2 [1,-1,0,-3144960,-2145910784] 4 [15360:1882624:1] 8190l3 [1,-1,0,-50319360,-137376045824] 2 [128550:14253017:8] 8190l4 [1,-1,0,-3156480,-2129388800] 4 [2208:39664:1] 8190l5 [1,-1,0,-6198480,2642292400] 4 [-2440:58100:1] 8190l6 [1,-1,0,-298800,-5843801264] 2 [3888:225556:1] 8190l7 [1,-1,0,-82962180,290705753020] 2 [170977441548:404363714599:31554496] 8190l8 [1,-1,0,21893220,19929924580] 2 [-31308:6121801:64]
8190m (8 curves)	0	2+ 3- 5+ 7- 13-	2+ 3- 5+ 7-  0 13- -6 -4
Curve Equation t 8190m1 [1,-1,0,-231525,-42591339] 2 8190m2 [1,-1,0,-372645,15578325] 4 8190m3 [1,-1,0,-1430325,630090981] 6 8190m4 [1,-1,0,-4467645,3629825325] 2 8190m5 [1,-1,0,1464435,122496381] 2 8190m6 [1,-1,0,-22607145,41378528025] 12 8190m7 [1,-1,0,-361714095,2647958009895] 6 8190m8 [1,-1,0,-22329315,42444895131] 6
8190n (6 curves)	0	2+ 3- 5+ 7- 13-	2+ 3- 5+ 7-  4 13-  6 -4
Curve Equation t 8190n1 [1,-1,0,-3330,-1164524] 2 8190n2 [1,-1,0,-187650,-30987500] 4 8190n3 [1,-1,0,-2995650,-1994902700] 2 8190n4 [1,-1,0,-328770,22045396] 4 8190n5 [1,-1,0,-4161690,3265462300] 2 8190n6 [1,-1,0,1246230,171040396] 2
8190o (2 curves)	1	2+ 3- 5- 7+ 13+	2+ 3- 5- 7+  2 13+  2 -2
Curve Equation t Generators 8190o1 [1,-1,0,-414,2848] 2 [47:-316:1] 8190o2 [1,-1,0,756,15250] 2 [11:152:1]
8190p (4 curves)	1	2+ 3- 5- 7+ 13+	2+ 3- 5- 7+  4 13+  2 -4
Curve Equation t Generators 8190p1 [1,-1,0,576,0] 2 [9:72:1] 8190p2 [1,-1,0,-2304,1728] 4 [-33:219:1] 8190p3 [1,-1,0,-24984,-1508760] 2 [-89:107:1] 8190p4 [1,-1,0,-25704,1588248] 2 [109:215:1]
8190q (4 curves)	1	2+ 3- 5- 7+ 13+	2+ 3- 5- 7+ -4 13+  2  4
Curve Equation t Generators 8190q1 [1,-1,0,1139571,-8997566747] 2 [11419291:-392679248:4913] 8190q2 [1,-1,0,-58580109,-167648868635] 4 [-4879:47192:1] 8190q3 [1,-1,0,-929854989,-10913430473627] 2 [-38686011:12451843:2197] 8190q4 [1,-1,0,-142820109,423732779365] 2 [119921:41266487:1]
8190r (2 curves)	0	2+ 3- 5- 7+ 13-	2+ 3- 5- 7+  2 13-  0  4
Curve Equation t 8190r1 [1,-1,0,-819,-7115] 2 8190r2 [1,-1,0,1701,-43907] 2
8190s (1 curve)	0	2+ 3- 5- 7+ 13-	2+ 3- 5- 7+ -3 13-  2 -6
Curve Equation t 8190s1 [1,-1,0,-294,-1900] 1
8190t (2 curves)	0	2+ 3- 5- 7+ 13-	2+ 3- 5- 7+  6 13-  8  0
Curve Equation t 8190t1 [1,-1,0,-305079,-59612707] 2 8190t2 [1,-1,0,340041,-278566435] 2
8190u (4 curves)	0	2+ 3- 5- 7- 13+	2+ 3- 5- 7-  0 13+ -2  4
Curve Equation t 8190u1 [1,-1,0,-269514,53921700] 2 8190u2 [1,-1,0,-269694,53846208] 4 8190u3 [1,-1,0,-379044,6147738] 2 8190u4 [1,-1,0,-163224,96711030] 2
8190v (4 curves)	0	2+ 3- 5- 7- 13+	2+ 3- 5- 7-  0 13+ -2  4
Curve Equation t 8190v1 [1,-1,0,-2865924,1484358480] 2 8190v2 [1,-1,0,-14662404,-20308458672] 4 8190v3 [1,-1,0,-230662404,-1348319658672] 2 8190v4 [1,-1,0,12593916,-87179114160] 2
8190w (1 curve)	0	2+ 3- 5- 7- 13+	2+ 3- 5- 7-  5 13+ -2 -6
Curve Equation t 8190w1 [1,-1,0,-1764,-159152] 1
8190x (6 curves)	1	2+ 3- 5- 7- 13-	2+ 3- 5- 7-  0 13-  0  2
Curve Equation t Generators 8190x1 [1,-1,0,-10764,-425520] 2 [-498:411:8] 8190x2 [1,-1,0,-172044,-27423792] 2 [174228:8889711:64] 8190x3 [1,-1,0,-59724,5313168] 6 [-273:1239:1] 8190x4 [1,-1,0,-183204,-23655240] 6 [-329:1127:1] 8190x5 [1,-1,0,-4760784,3999402540] 6 [-1989:75807:1] 8190x6 [1,-1,0,-4761414,3998291598] 6 [9614:21423:8]
8190y (2 curves)	1	2+ 3- 5- 7- 13-	2+ 3- 5- 7-  2 13- -6 -2
Curve Equation t Generators 8190y1 [1,-1,0,-109494,13966708] 2 [92:2114:1] 8190y2 [1,-1,0,-90774,18882580] 2 [131:2972:1]
8190z (2 curves)	1	2+ 3- 5- 7- 13-	2+ 3- 5- 7- -4 13-  0 -2
Curve Equation t Generators 8190z1 [1,-1,0,-54,-32] 2 [-6:10:1] 8190z2 [1,-1,0,-684,-6710] 2 [-15:10:1]
8190ba (2 curves)	1	2- 3+ 5+ 7+ 13-	2- 3+ 5+ 7+  0 13- -2  0
Curve Equation t Generators 8190ba1 [1,-1,1,11797,-585413] 2 [83:938:1] 8190ba2 [1,-1,1,-74603,-5734853] 2 [-173:1490:1]
8190bb (2 curves)	1	2- 3+ 5+ 7+ 13-	2- 3+ 5+ 7+  0 13-  4 -6
Curve Equation t Generators 8190bb1 [1,-1,1,-9263,64531] 2 [-97:256:1] 8190bb2 [1,-1,1,36367,484327] 2 [-74:3101:8]
8190bc (2 curves)	1	2- 3+ 5+ 7- 13+	2- 3+ 5+ 7-  2 13+  4 -4
Curve Equation t Generators 8190bc1 [1,-1,1,-3383,-70769] 2 [-37:70:1] 8190bc2 [1,-1,1,-53303,-4723313] 2 [-133:70:1]
8190bd (2 curves)	1	2- 3+ 5+ 7- 13+	2- 3+ 5+ 7- -2 13+ -4  0
Curve Equation t Generators 8190bd1 [1,-1,1,-1433,15337] 2 [-23:200:1] 8190bd2 [1,-1,1,-8453,-285119] 2 [-49:122:1]
8190be (2 curves)	1	2- 3+ 5- 7+ 13+	2- 3+ 5- 7+ -4 13+  6  0
Curve Equation t Generators 8190be1 [1,-1,1,268,-269] 2 [41:259:1] 8190be2 [1,-1,1,-1082,-1349] 2 [382:1667:8]
8190bf (4 curves)	1	2- 3+ 5- 7- 13-	2- 3+ 5- 7- -6 13-  0 -4
Curve Equation t Generators 8190bf1 [1,-1,1,-3512,68411] 6 [-59:289:1] 8190bf2 [1,-1,1,-15992,-710341] 6 [-83:241:1] 8190bf3 [1,-1,1,-79112,-8537669] 2 [-161:161:1] 8190bf4 [1,-1,1,-1265492,-547628741] 2 [1477:27611:1]
8190bg (2 curves)	1	2- 3- 5+ 7+ 13+	2- 3- 5+ 7+  2 13+  2 -2
Curve Equation t Generators 8190bg1 [1,-1,1,-73148,-7467393] 2 [-163:405:1] 8190bg2 [1,-1,1,1732,-22083969] 2 [461:8517:1]
8190bh (4 curves)	0	2- 3- 5+ 7- 13+	2- 3- 5+ 7-  0 13+  2 -4
Curve Equation t 8190bh1 [1,-1,1,-23,-993] 2 8190bh2 [1,-1,1,-1643,-24969] 4 8190bh3 [1,-1,1,-26213,-1626933] 2 8190bh4 [1,-1,1,-2993,23091] 2
8190bi (2 curves)	0	2- 3- 5+ 7- 13+	2- 3- 5+ 7-  2 13+  4 -4
Curve Equation t 8190bi1 [1,-1,1,-263,1531] 2 8190bi2 [1,-1,1,367,7327] 2
8190bj (2 curves)	0	2- 3- 5+ 7- 13+	2- 3- 5+ 7-  6 13+ -4  8
Curve Equation t 8190bj1 [1,-1,1,-13811333,-18708808323] 2 8190bj2 [1,-1,1,10390747,-77306884419] 2
8190bk (2 curves)	1	2- 3- 5+ 7- 13-	2- 3- 5+ 7- -2 13- -6  2
Curve Equation t Generators 8190bk1 [1,-1,1,-1283,12867] 2 [5:78:1] 8190bk2 [1,-1,1,3397,82131] 2 [5:312:1]
8190bl (3 curves)	1	2- 3- 5+ 7- 13-	2- 3- 5+ 7-  3 13- -6  2
Curve Equation t Generators 8190bl1 [1,-1,1,-5206028,-4956262513] 1 [2160117:53607077:729] 8190bl2 [1,-1,1,32059597,4539299987] 3 [-77:45538:1] 8190bl3 [1,-1,1,-454528778,3955711147337] 3 [-22127:1794103:1]
8190bm (4 curves)	0	2- 3- 5- 7+ 13+	2- 3- 5- 7+  4 13+  2  8
Curve Equation t 8190bm1 [1,-1,1,-1250011292,-17010250110241] 2 8190bm2 [1,-1,1,-1259042972,-16751958512929] 4 8190bm3 [1,-1,1,-2978549852,38894035334879] 2 8190bm4 [1,-1,1,315957028,-55867398512929] 2
8190bn (4 curves)	0	2- 3- 5- 7+ 13+	2- 3- 5- 7+  4 13+ -6  0
Curve Equation t 8190bn1 [1,-1,1,-204467,-32044269] 2 8190bn2 [1,-1,1,-768947,225132819] 4 8190bn3 [1,-1,1,-11841827,15687302451] 2 8190bn4 [1,-1,1,1272253,1215523059] 2
8190bo (2 curves)	0	2- 3- 5- 7+ 13+	2- 3- 5- 7+ -6 13+  2 -2
Curve Equation t 8190bo1 [1,-1,1,-887,10091] 2 8190bo2 [1,-1,1,283,33959] 2
8190bp (4 curves)	1	2- 3- 5- 7+ 13-	2- 3- 5- 7+ -4 13-  6 -8
Curve Equation t Generators 8190bp1 [1,-1,1,-6480392,-3215030709] 4 [-1629:55739:1] 8190bp2 [1,-1,1,-88736072,-321577414581] 4 [-5503:10941:1] 8190bp3 [1,-1,1,-1419611072,-20587077214581] 2 [-21753:10941:1] 8190bp4 [1,-1,1,-73951952,-432257250549] 2 [13451:996549:1]
8190bq (4 curves)	1	2- 3- 5- 7+ 13-	2- 3- 5- 7+ -4 13- -6  4
Curve Equation t Generators 8190bq1 [1,-1,1,-4442,146841] 4 [-31:519:1] 8190bq2 [1,-1,1,-76442,8153241] 4 [71:1719:1] 8190bq3 [1,-1,1,-81842,6939321] 2 [59:1491:1] 8190bq4 [1,-1,1,-1223042,520912761] 2 [639:-309:1]
8190br (4 curves)	1	2- 3- 5- 7- 13+	2- 3- 5- 7-  0 13+ -2 -8
Curve Equation t Generators 8190br1 [1,-1,1,-5567,-157849] 2 [-41:34:1] 8190br2 [1,-1,1,-8447,25319] 4 [-51:592:1] 8190br3 [1,-1,1,-96647,11561879] 2 [229:1068:1] 8190br4 [1,-1,1,33673,176951] 2 [21:934:1]
8190bs (4 curves)	1	2- 3- 5- 7- 13+	2- 3- 5- 7- -4 13+ -2  4
Curve Equation t Generators 8190bs1 [1,-1,1,-4352,12579] 2 [-3:161:1] 8190bs2 [1,-1,1,-50432,4362531] 4 [281:-3651:1] 8190bs3 [1,-1,1,-806432,278941731] 2 [521:-171:1] 8190bs4 [1,-1,1,-31712,7627299] 2 [407:-8079:1]
8190bt (4 curves)	1	2- 3- 5- 7- 13+	2- 3- 5- 7- -4 13+ -2 -4
Curve Equation t Generators 8190bt1 [1,-1,1,-18002,-845999] 2 [-79:319:1] 8190bt2 [1,-1,1,-64082,5310289] 4 [-203:3251:1] 8190bt3 [1,-1,1,-981362,374423761] 2 [581:59:1] 8190bt4 [1,-1,1,115918,29646289] 2 [-83:4451:1]
8190bu (4 curves)	0	2- 3- 5- 7- 13-	2- 3- 5- 7-  0 13-  0  2
Curve Equation t 8190bu1 [1,-1,1,-2102,-36511] 2 8190bu2 [1,-1,1,-2732,-12319] 2 8190bu3 [1,-1,1,-8537,269561] 6 8190bu4 [1,-1,1,-132017,18495209] 6
8190bv (8 curves)	0	2- 3- 5- 7- 13-	2- 3- 5- 7-  0 13-  6 -4
Curve Equation t 8190bv1 [1,-1,1,-30812,-3066721] 2 8190bv2 [1,-1,1,-555692,-159271009] 4 8190bv3 [1,-1,1,249853,45738371] 6 8190bv4 [1,-1,1,-8890592,-10201158529] 2 8190bv5 [1,-1,1,-618872,-120756481] 4 8190bv6 [1,-1,1,-1409027,429934979] 12 8190bv7 [1,-1,1,-8969027,-10011937021] 6 8190bv8 [1,-1,1,-20391107,35440483331] 12
8190bw (2 curves)	0	2- 3- 5- 7- 13-	2- 3- 5- 7- -2 13- -4 -8
Curve Equation t 8190bw1 [1,-1,1,-676652,-210938961] 2 8190bw2 [1,-1,1,-31532,-596978769] 2
8190bx (2 curves)	0	2- 3- 5- 7- 13-	2- 3- 5- 7-  3 13-  6  2
Curve Equation t 8190bx1 [1,-1,1,58,-1141] 1 8190bx2 [1,-1,1,-527,31151] 3
8190by (4 curves)	0	2- 3- 5- 7- 13-	2- 3- 5- 7-  4 13-  2  4
Curve Equation t 8190by1 [1,-1,1,58,-5691] 4 8190by2 [1,-1,1,-4442,-110091] 4 8190by3 [1,-1,1,-70592,-7201371] 2 8190by4 [1,-1,1,-10292,245589] 2
8190bz (6 curves)	0	2- 3- 5- 7- 13-	2- 3- 5- 7-  6 13- -6  2
Curve Equation t 8190bz1 [1,-1,1,-129092,-17820061] 2 8190bz2 [1,-1,1,-127922,-18159829] 2 8190bz3 [1,-1,1,-164327,-7302049] 6 8190bz4 [1,-1,1,626593,-57604561] 6 8190bz5 [1,-1,1,-7670462,8178473549] 6 8190bz6 [1,-1,1,-7370942,8846283341] 6
8190ca (4 curves)	0	2- 3- 5- 7- 13-	2- 3- 5- 7- -6 13-  0  8
Curve Equation t 8190ca1 [1,-1,1,-6827,99191] 2 8190ca2 [1,-1,1,24043,728939] 2 8190ca3 [1,-1,1,-463262,121479149] 6 8190ca4 [1,-1,1,-460742,122864141] 6

Data from Elliptic Curve Data by J. E. Cremona.
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Part of Computational Number Theory
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