Cremona's table of elliptic curves

118320 = 2⁴ · 3 · 5 · 17 · 29

Class	r	Atkin-Lehner	Eigenvalues
118320a (2 curves)	1	2+ 3+ 5+ 17+ 29+	2+ 3+ 5+  0 -4 -2 17+  2
Curve Equation t Generators 118320a1 [0,-1,0,-6576,-1075824] 2 [128:404:1] 118320a2 [0,-1,0,-203096,-35034480] 2 [-272:100:1]
118320b (2 curves)	1	2+ 3+ 5+ 17+ 29+	2+ 3+ 5+  2 -4 -4 17+  2
Curve Equation t Generators 118320b1 [0,-1,0,-456,-2304] 2 [-12:36:1] 118320b2 [0,-1,0,-6576,-203040] 2 [-46:2:1]
118320c (1 curve)	2	2+ 3+ 5+ 17- 29+	2+ 3+ 5+ -3  2 -5 17-  5
Curve Equation t Generators 118320c1 [0,-1,0,-616,78880] 1 [-42:170:1]&[94:918:1]
118320d (4 curves)	0	2+ 3+ 5+ 17- 29+	2+ 3+ 5+  4  4 -2 17-  0
Curve Equation t 118320d1 [0,-1,0,-378356,216166656] 2 118320d2 [0,-1,0,-8190856,9016166656] 4 118320d3 [0,-1,0,-10365856,3853586656] 2 118320d4 [0,-1,0,-131015856,577253746656] 2
118320e (2 curves)	0	2+ 3+ 5- 17+ 29+	2+ 3+ 5- -2  0  2 17+  8
Curve Equation t 118320e1 [0,-1,0,-1010700,391392000] 2 118320e2 [0,-1,0,-928080,457950672] 2
118320f (2 curves)	0	2+ 3+ 5- 17+ 29+	2+ 3+ 5- -2  6  0 17+  4
Curve Equation t 118320f1 [0,-1,0,-2360,-40320] 2 118320f2 [0,-1,0,-37040,-2731488] 2
118320g (2 curves)	0	2+ 3+ 5- 17+ 29+	2+ 3+ 5-  4  6 -2 17+  2
Curve Equation t 118320g1 [0,-1,0,-30820,-2069600] 2 118320g2 [0,-1,0,-40000,-725648] 2
118320h (1 curve)	1	2+ 3+ 5- 17+ 29-	2+ 3+ 5-  1 -6  3 17+  7
Curve Equation t Generators 118320h1 [0,-1,0,640,10992] 1 [14:-150:1]
118320i (2 curves)	1	2+ 3+ 5- 17+ 29-	2+ 3+ 5- -2  0  0 17+ -2
Curve Equation t Generators 118320i1 [0,-1,0,-3797160,-2819207808] 2 [-1116:5220:1] 118320i2 [0,-1,0,-60591440,-181516730400] 2 [244470:2968730:27]
118320j (1 curve)	1	2+ 3+ 5- 17+ 29-	2+ 3+ 5-  4  3 -4 17+  8
Curve Equation t Generators 118320j1 [0,-1,0,350815,-107098275] 1 [2810:61625:8]
118320k (4 curves)	1	2+ 3+ 5- 17+ 29-	2+ 3+ 5- -4  0  2 17+ -4
Curve Equation t Generators 118320k1 [0,-1,0,-11260,-454400] 2 [-60:40:1] 118320k2 [0,-1,0,-17040,68112] 4 [-96:900:1] 118320k3 [0,-1,0,67960,476112] 2 [74:2430:1] 118320k4 [0,-1,0,-194520,33008400] 2 [-360:7500:1]
118320l (2 curves)	0	2+ 3- 5+ 17+ 29+	2+ 3- 5+  2  0  0 17+  0
Curve Equation t 118320l1 [0,1,0,24744,2070180] 2 118320l2 [0,1,0,-171776,21171924] 2
118320m (1 curve)	1	2+ 3- 5+ 17+ 29-	2+ 3- 5+  0 -1 -4 17+  8
Curve Equation t Generators 118320m1 [0,1,0,79,75] 1 [138:663:8]
118320n (2 curves)	1	2+ 3- 5+ 17+ 29-	2+ 3- 5+  2  4  6 17+  0
Curve Equation t Generators 118320n1 [0,1,0,-31,200] 2 [-280:2028:125] 118320n2 [0,1,0,-756,7740] 2 [-10:120:1]
118320o (2 curves)	1	2+ 3- 5+ 17+ 29-	2+ 3- 5+ -2  0 -2 17+  4
Curve Equation t Generators 118320o1 [0,1,0,81329,4726904] 2 [-40:1188:1] 118320o2 [0,1,0,-371796,39889404] 2 [-618:5832:1]
118320p (1 curve)	1	2+ 3- 5+ 17+ 29-	2+ 3- 5+  3  2 -1 17+  5
Curve Equation t Generators 118320p1 [0,1,0,-29016,-1960380] 1 [872:25230:1]
118320q (2 curves)	1	2+ 3- 5+ 17+ 29-	2+ 3- 5+ -4 -6  6 17+  6
Curve Equation t Generators 118320q1 [0,1,0,-116,60] 2 [-6:24:1] 118320q2 [0,1,0,-1136,-15036] 2 [-150:39:8]
118320r (4 curves)	1	2+ 3- 5+ 17- 29+	2+ 3- 5+  0  4  2 17- -8
Curve Equation t Generators 118320r1 [0,1,0,-7396,-247300] 2 [146:1344:1] 118320r2 [0,1,0,-7416,-245916] 4 [-48:42:1] 118320r3 [0,1,0,-1616,-614796] 2 [142:1428:1] 118320r4 [0,1,0,-13536,211860] 2 [156:1386:1]
118320s (2 curves)	1	2+ 3- 5- 17+ 29+	2+ 3- 5-  0  4  0 17+  2
Curve Equation t Generators 118320s1 [0,1,0,-995400,-382003452] 2 [-594:180:1] 118320s2 [0,1,0,-683280,-625581900] 2 [1140:8850:1]
118320t (2 curves)	1	2+ 3- 5- 17+ 29+	2+ 3- 5- -2  0 -2 17+  4
Curve Equation t Generators 118320t1 [0,1,0,105,468] 2 [12:60:1] 118320t2 [0,1,0,-620,3948] 2 [-2:72:1]
118320u (2 curves)	2	2+ 3- 5- 17+ 29-	2+ 3- 5- -2 -4 -4 17+ -6
Curve Equation t Generators 118320u1 [0,1,0,-33880,2302628] 2 [176:-1350:1]&[-184:1530:1] 118320u2 [0,1,0,-88960,-7149100] 2 [380:3750:1]&[-220:1350:1]
118320v (4 curves)	0	2+ 3- 5- 17+ 29-	2+ 3- 5- -4  4 -2 17+ -4
Curve Equation t 118320v1 [0,1,0,-39295,-3010780] 2 118320v2 [0,1,0,-43500,-2331252] 4 118320v3 [0,1,0,124120,-15807900] 4 118320v4 [0,1,0,-278400,54702468] 2
118320w (2 curves)	0	2+ 3- 5- 17- 29+	2+ 3- 5-  2  0 -6 17-  8
Curve Equation t 118320w1 [0,1,0,-1140,-15012] 2 118320w2 [0,1,0,-120,-39900] 2
118320x (4 curves)	1	2+ 3- 5- 17- 29-	2+ 3- 5-  0  0  2 17- -4
Curve Equation t Generators 118320x1 [0,1,0,-820,-4420] 2 [38:144:1] 118320x2 [0,1,0,-6600,201348] 4 [-9:510:1] 118320x3 [0,1,0,-480,566100] 4 [15:750:1] 118320x4 [0,1,0,-105200,13098228] 2 [223:882:1]
118320y (2 curves)	1	2+ 3- 5- 17- 29-	2+ 3- 5- -2  0 -4 17- -2
Curve Equation t Generators 118320y1 [0,1,0,-480,3780] 2 [18:36:1] 118320y2 [0,1,0,-1160,-10092] 2 [-14:60:1]
118320z (2 curves)	0	2- 3+ 5+ 17+ 29+	2- 3+ 5+  1  0 -4 17+  4
Curve Equation t 118320z1 [0,-1,0,9259,463581] 1 118320z2 [0,-1,0,-301781,64180125] 1
118320ba (4 curves)	0	2- 3+ 5+ 17+ 29+	2- 3+ 5+ -2  0 -4 17+ -2
Curve Equation t 118320ba1 [0,-1,0,-528816,-147792960] 2 118320ba2 [0,-1,0,-8460336,-9468915264] 2 118320ba3 [0,-1,0,-1487856,512254656] 2 118320ba4 [0,-1,0,-8562576,-9228219840] 2
118320bb (2 curves)	0	2- 3+ 5+ 17+ 29+	2- 3+ 5+ -2  2  6 17+  6
Curve Equation t 118320bb1 [0,-1,0,-10896,248256] 2 118320bb2 [0,-1,0,35184,1759680] 2
118320bc (2 curves)	0	2- 3+ 5+ 17+ 29+	2- 3+ 5+  4 -4 -6 17+  6
Curve Equation t 118320bc1 [0,-1,0,-28296,6522096] 2 118320bc2 [0,-1,0,-724616,237143280] 2
118320bd (2 curves)	1	2- 3+ 5+ 17+ 29-	2- 3+ 5+  1 -6 -1 17+ -5
Curve Equation t Generators 118320bd1 [0,-1,0,6132904,-3139076880] 1 [37354:2854035:8] 118320bd2 [0,-1,0,-66592136,259867140336] 1 [51178:2473875:8]
118320be (4 curves)	1	2- 3+ 5+ 17+ 29-	2- 3+ 5+ -2  0  2 17+ -8
Curve Equation t Generators 118320be1 [0,-1,0,-859536,-262647360] 2 [-414:4698:1] 118320be2 [0,-1,0,1490544,-1448967744] 2 [8290:761946:1] 118320be3 [0,-1,0,-18565776,30766435776] 2 [2274:17370:1] 118320be4 [0,-1,0,-13849296,46768509120] 2 [1070330:-93199314:125]
118320bf (2 curves)	1	2- 3+ 5+ 17+ 29-	2- 3+ 5+ -4 -2  6 17+  2
Curve Equation t Generators 118320bf1 [0,-1,0,-26018576,-40579151424] 2 [-100644366:2896501038:50653] 118320bf2 [0,-1,0,-133094096,555531683520] 2 [10079384812707894:-289700412218625558:1148059717111]
118320bg (2 curves)	1	2- 3+ 5+ 17- 29+	2- 3+ 5+  2 -2  2 17- -2
Curve Equation t Generators 118320bg1 [0,-1,0,-348776,-79164240] 2 [237755:1170450:343] 118320bg2 [0,-1,0,-342296,-82253904] 2 [1514:53550:1]
118320bh (4 curves)	1	2- 3+ 5+ 17- 29+	2- 3+ 5+ -2  0 -4 17- -2
Curve Equation t Generators 118320bh1 [0,-1,0,-244856,-24950160] 2 [-310:4590:1] 118320bh2 [0,-1,0,-3389176,-2399540624] 2 [2546:73950:1] 118320bh3 [0,-1,0,-9192296,10729290096] 2 [914:55590:1] 118320bh4 [0,-1,0,-9888616,9010215280] 2 [93770:5609358:125]
118320bi (2 curves)	1	2- 3+ 5+ 17- 29+	2- 3+ 5+ -2  2 -6 17- -6
Curve Equation t Generators 118320bi1 [0,-1,0,-189943656,-916617254544] 2 [27377968332:-15506595765819:85184] 118320bi2 [0,-1,0,234729624,-4434270967440] 2 [98778:4707351:8]
118320bj (2 curves)	1	2- 3+ 5+ 17- 29+	2- 3+ 5+ -2 -4  0 17-  6
Curve Equation t Generators 118320bj1 [0,-1,0,-616,4720] 2 [-14:102:1] 118320bj2 [0,-1,0,-3336,-69264] 2 [-30:54:1]
118320bk (1 curve)	1	2- 3+ 5+ 17- 29+	2- 3+ 5+ -3  4  3 17- -1
Curve Equation t Generators 118320bk1 [0,-1,0,-22496,1807296] 1 [1106:36450:1]
118320bl (2 curves)	1	2- 3+ 5+ 17- 29+	2- 3+ 5+  4 -4 -2 17-  2
Curve Equation t Generators 118320bl1 [0,-1,0,544,0] 2 [16:112:1] 118320bl2 [0,-1,0,-2176,2176] 2 [-24:200:1]
118320bm (2 curves)	1	2- 3+ 5+ 17- 29+	2- 3+ 5+ -4 -2 -6 17-  4
Curve Equation t Generators 118320bm1 [0,-1,0,-1990166201,-34172260020204] 2 [22081004350853636:-5854178445118717977:232381513792] 118320bm2 [0,-1,0,-1990165796,-34172274624180] 2 [1727195137:327264400530:24389]
118320bn (4 curves)	1	2- 3+ 5+ 17- 29+	2- 3+ 5+ -4  4  6 17- -8
Curve Equation t Generators 118320bn1 [0,-1,0,6864,563136] 2 [113:1664:1] 118320bn2 [0,-1,0,-75056,7051200] 4 [-56:3328:1] 118320bn3 [0,-1,0,-297776,-55132224] 2 [-230:1066:1] 118320bn4 [0,-1,0,-1163056,483160000] 2 [-216:26912:1]
118320bo (4 curves)	1	2- 3+ 5+ 17- 29+	2- 3+ 5+ -4 -4 -2 17-  0
Curve Equation t Generators 118320bo1 [0,-1,0,-8896,-942080] 2 [3264:186368:1] 118320bo2 [0,-1,0,-208896,-36622080] 4 [-256:112:1] 118320bo3 [0,-1,0,-276896,-10673280] 2 [-296:6728:1] 118320bo4 [0,-1,0,-3340896,-2349290880] 2 [13106:1484882:1]
118320bp (4 curves)	0	2- 3+ 5- 17+ 29-	2- 3+ 5-  0 -4  6 17+ -4
Curve Equation t 118320bp1 [0,-1,0,-3720,-150480] 2 118320bp2 [0,-1,0,-71000,-7255248] 4 118320bp3 [0,-1,0,-82600,-4712528] 2 118320bp4 [0,-1,0,-1135880,-465579600] 2
118320bq (1 curve)	0	2- 3+ 5- 17+ 29-	2- 3+ 5- -1  0  4 17+  0
Curve Equation t 118320bq1 [0,-1,0,49515,8557725] 1
118320br (1 curve)	0	2- 3+ 5- 17+ 29-	2- 3+ 5- -1  2 -5 17+  1
Curve Equation t 118320br1 [0,-1,0,6480,-1166400] 1
118320bs (2 curves)	0	2- 3+ 5- 17+ 29-	2- 3+ 5-  2  0  4 17+  6
Curve Equation t 118320bs1 [0,-1,0,-4640,114432] 2 118320bs2 [0,-1,0,-15520,-608000] 2
118320bt (2 curves)	0	2- 3+ 5- 17+ 29-	2- 3+ 5-  2  4  0 17+  2
Curve Equation t 118320bt1 [0,-1,0,-1066560,386841600] 2 118320bt2 [0,-1,0,-3851840,-2480882688] 2
118320bu (2 curves)	0	2- 3+ 5- 17+ 29-	2- 3+ 5-  2  4 -2 17+ -6
Curve Equation t 118320bu1 [0,-1,0,-3865,-89888] 2 118320bu2 [0,-1,0,-220,-256100] 2
118320bv (4 curves)	0	2- 3+ 5- 17+ 29-	2- 3+ 5-  4  0 -2 17+  8
Curve Equation t 118320bv1 [0,-1,0,360,-1488] 2 118320bv2 [0,-1,0,-1640,-11088] 4 118320bv3 [0,-1,0,-13240,582832] 2 118320bv4 [0,-1,0,-22040,-1251408] 2
118320bw (1 curve)	0	2- 3+ 5- 17- 29+	2- 3+ 5-  1  2 -1 17-  5
Curve Equation t 118320bw1 [0,-1,0,119240720,-5690849150528] 1
118320bx (2 curves)	2	2- 3+ 5- 17- 29+	2- 3+ 5- -4 -2  2 17- -2
Curve Equation t Generators 118320bx1 [0,-1,0,-1480,20272] 2 [34:-90:1]&[-23:204:1] 118320bx2 [0,-1,0,-5560,-136400] 2 [-39:140:1]&[-30:50:1]
118320by (8 curves)	1	2- 3+ 5- 17- 29-	2- 3+ 5-  0 -4 -2 17-  4
Curve Equation t Generators 118320by1 [0,-1,0,-5740480,-5229347840] 2 [5605845467880288:-510207635075566967:623711453184] 118320by2 [0,-1,0,-10983360,5814254592] 4 [24992582793:4685415957936:704969] 118320by3 [0,-1,0,39499840,44221873152] 2 [113574169298352:248081045328051209:1130063671296] 118320by4 [0,-1,0,-145352640,674113305600] 8 [141762:53188002:1] 118320by5 [0,-1,0,-115389120,960013228032] 4 [18994:2370750:1] 118320by6 [0,-1,0,-2325224640,43157202739200] 8 [10312159872:-148579591680:389017] 118320by7 [0,-1,0,-2324807040,43173478782720] 4 [-968130425660525618498:422096107844502491842142:46450626880244111] 118320by8 [0,-1,0,-37203594240,2762023772494080] 4 [106032:3055488:1]
118320bz (6 curves)	1	2- 3+ 5- 17- 29-	2- 3+ 5-  0 -4 -2 17- -4
Curve Equation t Generators 118320bz1 [0,-1,0,-14400,-658368] 2 [657:16524:1] 118320bz2 [0,-1,0,-20880,0] 4 [-8:408:1] 118320bz3 [0,-1,0,83520,-83520] 2 [2602:133518:1] 118320bz4 [0,-1,0,-228960,42115392] 8 [-336:9000:1] 118320bz5 [0,-1,0,-126960,79732992] 4 [-302:9510:1] 118320bz6 [0,-1,0,-3660240,2696553600] 4 [76710:3331250:27]
118320ca (2 curves)	1	2- 3+ 5- 17- 29-	2- 3+ 5-  2  0  4 17-  2
Curve Equation t Generators 118320ca1 [0,-1,0,-27320,-1473168] 2 [-118:306:1] 118320ca2 [0,-1,0,-419000,-104250000] 2 [-374:50:1]
118320cb (2 curves)	1	2- 3+ 5- 17- 29-	2- 3+ 5-  2 -4  0 17-  2
Curve Equation t Generators 118320cb1 [0,-1,0,-172840,-7333520] 2 [-348:3248:1] 118320cb2 [0,-1,0,-2155720,-1216097168] 2 [6234:477050:1]
118320cc (1 curve)	1	2- 3+ 5- 17- 29-	2- 3+ 5-  3 -4  4 17- -8
Curve Equation t Generators 118320cc1 [0,-1,0,-85,697] 1 [-7:30:1]
118320cd (2 curves)	1	2- 3- 5+ 17+ 29+	2- 3- 5+ -2  0  4 17+  4
Curve Equation t Generators 118320cd1 [0,1,0,-8347456,24196461620] 2 [-1061241401179928822:28110636149948547072:298305264160513] 118320cd2 [0,1,0,-186605376,979872822324] 2 [10533009426:20281374720:1295029]
118320ce (2 curves)	1	2- 3- 5+ 17+ 29+	2- 3- 5+ -2 -6 -2 17+ -2
Curve Equation t Generators 118320ce1 [0,1,0,-13776,617364] 2 [60:102:1] 118320ce2 [0,1,0,-10896,885780] 2 [12:-870:1]
118320cf (1 curve)	0	2- 3- 5+ 17+ 29-	2- 3- 5+  1  6 -1 17+  3
Curve Equation t 118320cf1 [0,1,0,-696,-7596] 1
118320cg (2 curves)	0	2- 3- 5+ 17+ 29-	2- 3- 5+  2 -2 -4 17+  0
Curve Equation t 118320cg1 [0,1,0,-39456,-2565900] 2 118320cg2 [0,1,0,-178176,26454324] 2
118320ch (2 curves)	0	2- 3- 5+ 17- 29+	2- 3- 5+  2 -2  2 17-  6
Curve Equation t 118320ch1 [0,1,0,-8913016,-3247299820] 2 118320ch2 [0,1,0,33602264,-25236202636] 2
118320ci (2 curves)	0	2- 3- 5+ 17- 29+	2- 3- 5+  2  4  0 17- -6
Curve Equation t 118320ci1 [0,1,0,-761736,255574260] 2 118320ci2 [0,1,0,-859656,185581044] 2
118320cj (2 curves)	0	2- 3- 5+ 17- 29+	2- 3- 5+ -2 -4  4 17-  0
Curve Equation t 118320cj1 [0,1,0,1304,187700] 2 118320cj2 [0,1,0,-42216,3199284] 2
118320ck (2 curves)	1	2- 3- 5+ 17- 29-	2- 3- 5+ -2  4 -2 17-  0
Curve Equation t Generators 118320ck1 [0,1,0,-936,5364] 2 [-28:102:1] 118320ck2 [0,1,0,3144,42900] 2 [-4:174:1]
118320cl (2 curves)	1	2- 3- 5+ 17- 29-	2- 3- 5+  4 -6 -2 17-  6
Curve Equation t Generators 118320cl1 [0,1,0,-18616,761684] 2 [-100:1278:1] 118320cl2 [0,1,0,-279736,56850260] 2 [23412:583478:27]
118320cm (2 curves)	1	2- 3- 5+ 17- 29-	2- 3- 5+ -4 -2  2 17-  6
Curve Equation t Generators 118320cm1 [0,1,0,-43096,-3422380] 2 [-124:174:1] 118320cm2 [0,1,0,-79816,3231284] 2 [404:6090:1]
118320cn (2 curves)	0	2- 3- 5- 17+ 29+	2- 3- 5-  0  6  6 17+ -6
Curve Equation t 118320cn1 [0,1,0,-9840,-372780] 2 118320cn2 [0,1,0,-156720,-23932332] 2
118320co (1 curve)	2	2- 3- 5- 17+ 29+	2- 3- 5- -4 -3 -4 17+  4
Curve Equation t Generators 118320co1 [0,1,0,-2005,39503] 1 [-49:150:1]&[-14:255:1]
118320cp (4 curves)	1	2- 3- 5- 17+ 29-	2- 3- 5-  0  0  2 17+ -4
Curve Equation t Generators 118320cp1 [0,1,0,-6616214920,-87633738803980] 2 [-25270365251237260:5991811616153186358:548347731625] 118320cp2 [0,1,0,-54934597000,4895518314517748] 4 [1414473107280862199257725439445582538:-752951712949448404057232475627608145920:20190093031964591709041004998139] 118320cp3 [0,1,0,-6983871880,13148777941882100] 2 [475679325873961820905690042065816879135206912299354206509867085780:-312527065003088267510588922057965370741147772867318366532136463393274:1892120953980816130595626987239850751891000761915095689342625] 118320cp4 [0,1,0,-875979435400,315564763193857268] 2 [33799566503221790610166:-36012378170768037697411584:119628580168396837]
118320cq (1 curve)	1	2- 3- 5- 17+ 29-	2- 3- 5- -3  0 -1 17+  5
Curve Equation t Generators 118320cq1 [0,1,0,8120,-1759372] 1 [116:870:1]
118320cr (4 curves)	0	2- 3- 5- 17- 29-	2- 3- 5-  0  4 -2 17-  0
Curve Equation t 118320cr1 [0,1,0,-97920,-12121932] 2 118320cr2 [0,1,0,-1577600,-763207500] 4 118320cr3 [0,1,0,-1588480,-752157772] 4 118320cr4 [0,1,0,-25241600,-48820058700] 2
118320cs (1 curve)	0	2- 3- 5- 17- 29-	2- 3- 5- -3  4  4 17-  0
Curve Equation t 118320cs1 [0,1,0,-57205,5247203] 1
118320ct (4 curves)	0	2- 3- 5- 17- 29-	2- 3- 5-  4  0 -2 17-  0
Curve Equation t 118320ct1 [0,1,0,-3164720,-2167669932] 2 118320ct2 [0,1,0,-3492400,-1691747500] 4 118320ct3 [0,1,0,9824720,-11487820972] 4 118320ct4 [0,1,0,-22052400,38568604500] 4
118320cu (1 curve)	0	2- 3- 5- 17- 29-	2- 3- 5-  4 -3  4 17-  0
Curve Equation t 118320cu1 [0,1,0,-47301365,-127924595037] 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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