Cremona's table of elliptic curves

70785 = 3² · 5 · 11² · 13

Class	r	Atkin-Lehner	Eigenvalues
70785a (2 curves)	0	3+ 5+ 11- 13+	0 3+ 5+  1 11- 13+ -3  4
Curve Equation t 70785a1 [0,0,1,1452,27618] 1 70785a2 [0,0,1,-45738,3782369] 1
70785b (2 curves)	2	3+ 5+ 11- 13+	1 3+ 5+  0 11- 13+  0 -2
Curve Equation t Generators 70785b1 [1,-1,0,9960,-770269] 2 [70:481:1]&[1190:15377:8] 70785b2 [1,-1,0,-89865,-8816164] 2 [-184:1302:1]&[2950:21273:8]
70785c (2 curves)	1	3+ 5+ 11- 13-	1 3+ 5+ -2 11- 13-  4 -6
Curve Equation t Generators 70785c1 [1,-1,0,-26340,-1827325] 2 [7102:594769:1] 70785c2 [1,-1,0,-434715,-110210050] 2 [6470:62105:8]
70785d (2 curves)	1	3+ 5+ 11- 13-	-1 3+ 5+ -2 11- 13-  0  2
Curve Equation t Generators 70785d1 [1,-1,1,79837,-2011094] 2 [146:3496:1] 70785d2 [1,-1,1,-328538,-16059194] 2 [-382:7511:1]
70785e (2 curves)	1	3+ 5- 11- 13+	0 3+ 5-  1 11- 13+  3  4
Curve Equation t Generators 70785e1 [0,0,1,-5082,-140088] 1 [122:1027:1] 70785e2 [0,0,1,13068,-745693] 1 [2895555:35767381:29791]
70785f (2 curves)	1	3+ 5- 11- 13+	-1 3+ 5-  0 11- 13+  0 -2
Curve Equation t Generators 70785f1 [1,-1,1,89638,20707624] 2 [-146:2192:1] 70785f2 [1,-1,1,-808787,238845214] 2 [6509:517043:1]
70785g (2 curves)	0	3+ 5- 11- 13-	1 3+ 5- -2 11- 13-  0  2
Curve Equation t 70785g1 [1,-1,0,8871,71528] 2 70785g2 [1,-1,0,-36504,606953] 2
70785h (2 curves)	2	3+ 5- 11- 13-	-1 3+ 5- -2 11- 13- -4 -6
Curve Equation t Generators 70785h1 [1,-1,1,-2927,68654] 2 [-394:2613:8]&[-36:373:1] 70785h2 [1,-1,1,-48302,4097954] 2 [-1794:16103:8]&[-8:2121:1]
70785i (2 curves)	1	3- 5+ 11- 13+	0 3- 5+ -2 11- 13+ -3 -5
Curve Equation t Generators 70785i1 [0,0,1,-5808,287163] 1 [77:544:1] 70785i2 [0,0,1,48642,-5163282] 1 [946:11975:8]
70785j (2 curves)	1	3- 5+ 11- 13+	1 3- 5+  2 11- 13+ -6  0
Curve Equation t Generators 70785j1 [1,-1,0,51705,2831296] 2 [-4:1622:1] 70785j2 [1,-1,0,-247770,24812761] 2 [79604:2551793:64]
70785k (2 curves)	1	3- 5+ 11- 13+	1 3- 5+ -2 11- 13+  2 -8
Curve Equation t Generators 70785k1 [1,-1,0,-19080,1180251] 2 [-306:11043:8] 70785k2 [1,-1,0,-318555,69280866] 2 [322:-40:1]
70785l (4 curves)	1	3- 5+ 11- 13+	1 3- 5+ -4 11- 13+  6  0
Curve Equation t Generators 70785l1 [1,-1,0,-79080480,-270657669749] 2 [-295268753402:147742391101:57512456] 70785l2 [1,-1,0,-79085925,-270618530000] 4 [39788999643392350:-22338799808558296175:126354865832] 70785l3 [1,-1,0,-68963670,-342444027029] 2 [8985602624:1602227812043:262144] 70785l4 [1,-1,0,-89295300,-196288154375] 2 [-71493688:-1890525361:29791]
70785m (8 curves)	1	3- 5+ 11- 13+	-1 3- 5+  0 11- 13+  2  4
Curve Equation t Generators 70785m1 [1,-1,1,-119813,15992012] 2 [226:534:1] 70785m2 [1,-1,1,-125258,14463056] 4 [-8:3936:1] 70785m3 [1,-1,1,228667,81142526] 2 [487:17301:1] 70785m4 [1,-1,1,-566303,-150134938] 4 [873:4063:1] 70785m5 [1,-1,1,658822,-711732238] 2 [42804:315571:64] 70785m6 [1,-1,1,-8848148,-10128101794] 4 [1111230:413500631:8] 70785m7 [1,-1,1,-8635793,-10637498968] 2 [90212496677118:33569185274586743:649461896] 70785m8 [1,-1,1,-141570023,-648307965544] 2 [5467174398:2028582358519:39304]
70785n (8 curves)	1	3- 5+ 11- 13+	-1 3- 5+  0 11- 13+  2 -4
Curve Equation t Generators 70785n1 [1,-1,1,-4857952793,130326309109032] 2 [169441431220125771118:-500230666348629028050:4180984271853299] 70785n2 [1,-1,1,-4857958238,130326002355156] 4 [10398357256:1320051548181:357911] 70785n3 [1,-1,1,-4778325113,134804919690906] 2 [14129905071379549:1930140876675349749:463505124419] 70785n4 [1,-1,1,-4937678483,125827452706002] 4 [814975448576351863673:60423152458674335527083:15128051053457161] 70785n5 [1,-1,1,4081250722,533923176517206] 2 [-5701216220251722809885351256568355897020:3756468024790351055125142014920613203210069:191140123717248247972996142242445632] 70785n6 [1,-1,1,-15232131608,-570176405293998] 4 [3974037905404741592945975708223590710:2459746238065153762633726411264498030623:9396498798288773259464071141928] 70785n7 [1,-1,1,33889255267,-3489971289698748] 2 [4078889349751086032693809695817837359808752383080151451444026137508110:2778019802997251529393208723968503362756994145772781674927757601322722843:10151099441806489441819420903099574003055060531559800729931851848] 70785n8 [1,-1,1,-229064768483,-42194751966326748] 2 [1474188850640551482608449794519653069624494125453040658104827668773416980510:315287242997029615134229653028088640797268994382281365726641810003240814197763:2570175641671230525525769512836830742541588015747974647508955777608968]
70785o (4 curves)	1	3- 5+ 11- 13+	-1 3- 5+ -4 11- 13+  2 -4
Curve Equation t Generators 70785o1 [1,-1,1,-49028,-4165378] 2 [-128:90:1] 70785o2 [1,-1,1,-54473,-3178744] 4 [-180:967:1] 70785o3 [1,-1,1,157882,-22035868] 2 [183:3508:1] 70785o4 [1,-1,1,-353948,78757616] 2 [-74:10261:1]
70785p (1 curve)	1	3- 5+ 11- 13+	2 3- 5+  3 11- 13+ -4  5
Curve Equation t Generators 70785p1 [0,0,1,-363,-40307] 1 [338:1121:8]
70785q (1 curve)	1	3- 5+ 11- 13+	2 3- 5+  3 11- 13+  5 -2
Curve Equation t Generators 70785q1 [0,0,1,-363,-24291] 1 [114478:498443:2744]
70785r (1 curve)	1	3- 5+ 11- 13+	2 3- 5+ -4 11- 13+  5  5
Curve Equation t Generators 70785r1 [0,0,1,-425984493,3408064958493] 1 [602642529250124:248926870732189819:3484156096]
70785s (1 curve)	1	3- 5+ 11- 13+	-2 3- 5+  0 11- 13+ -3  1
Curve Equation t Generators 70785s1 [0,0,1,46827,-75027472] 1 [429:4900:1]
70785t (1 curve)	1	3- 5+ 11- 13+	-2 3- 5+  1 11- 13+ -4  1
Curve Equation t Generators 70785t1 [0,0,1,1273767,-904019526] 1 [1094:42412:1]
70785u (1 curve)	0	3- 5+ 11- 13-	2 3- 5+ -1 11- 13-  4 -1
Curve Equation t 70785u1 [0,0,1,10527,679203] 1
70785v (1 curve)	0	3- 5+ 11- 13-	2 3- 5+ -3 11- 13- -1  2
Curve Equation t 70785v1 [0,0,1,-207273,37296949] 1
70785w (1 curve)	2	3- 5+ 11- 13-	-2 3- 5+ -3 11- 13-  4 -5
Curve Equation t Generators 70785w1 [0,0,1,-43923,53648284] 1 [29282:1769621:8]&[121:-7079:1]
70785x (1 curve)	0	3- 5+ 11- 13-	-2 3- 5+  4 11- 13-  3 -1
Curve Equation t 70785x1 [0,0,1,10527,-17636] 1
70785y (1 curve)	1	3- 5- 11+ 13+	-2 3- 5-  4 11+ 13+ -3 -3
Curve Equation t Generators 70785y1 [0,0,1,-1947,-36270] 1 [110:1039:1]
70785z (1 curve)	0	3- 5- 11+ 13-	2 3- 5- -4 11+ 13-  3  3
Curve Equation t 70785z1 [0,0,1,-235587,48275037] 1
70785ba (1 curve)	2	3- 5- 11- 13+	0 3- 5- -1 11- 13+ -2 -5
Curve Equation t Generators 70785ba1 [0,0,1,2938848,-1429148273] 1 [4477:-318533:1]&[1747:95062:1]
70785bb (1 curve)	0	3- 5- 11- 13+	-1 3- 5-  2 11- 13+ -3 -2
Curve Equation t 70785bb1 [1,-1,1,-264287,-52200926] 1
70785bc (1 curve)	0	3- 5- 11- 13+	2 3- 5-  0 11- 13+ -7 -1
Curve Equation t 70785bc1 [0,0,1,-2174007,1233927175] 1
70785bd (1 curve)	1	3- 5- 11- 13-	0 3- 5-  1 11- 13-  2  5
Curve Equation t Generators 70785bd1 [0,0,1,24288,1073740] 1 [-2:-1013:1]
70785be (1 curve)	1	3- 5- 11- 13-	1 3- 5- -2 11- 13-  3  2
Curve Equation t Generators 70785be1 [1,-1,0,-2184,39815] 1 [26:-3:1]
70785bf (2 curves)	1	3- 5- 11- 13-	-1 3- 5-  4 11- 13-  2  6
Curve Equation t Generators 70785bf1 [1,-1,1,-1112,3314] 2 [948:1714:27] 70785bf2 [1,-1,1,4333,22916] 2 [96:1099:1]
70785bg (1 curve)	1	3- 5- 11- 13-	2 3- 5-  1 11- 13- -7  6
Curve Equation t Generators 70785bg1 [0,0,1,-72237,-11739753] 1 [7666:226121:8]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations