Cremona's table of elliptic curves

85800 = 2³ · 3 · 5² · 11 · 13

Class	r	Atkin-Lehner	Eigenvalues
85800a (2 curves)	1	2+ 3+ 5+ 11+ 13+	2+ 3+ 5+  0 11+ 13+ -8  2
Curve Equation t Generators 85800a1 [0,-1,0,148192,37143612] 2 [3042:169200:1] 85800a2 [0,-1,0,-1182808,407161612] 2 [2277513:120218950:729]
85800b (2 curves)	1	2+ 3+ 5+ 11+ 13+	2+ 3+ 5+ -4 11+ 13+ -4  6
Curve Equation t Generators 85800b1 [0,-1,0,36592,3334812] 2 [282:6000:1] 85800b2 [0,-1,0,-238408,33584812] 2 [11739:93250:27]
85800c (1 curve)	0	2+ 3+ 5+ 11+ 13-	2+ 3+ 5+ -1 11+ 13- -4 -1
Curve Equation t 85800c1 [0,-1,0,-198008,51096012] 1
85800d (2 curves)	0	2+ 3+ 5+ 11+ 13-	2+ 3+ 5+  2 11+ 13-  6  0
Curve Equation t 85800d1 [0,-1,0,1092,97812] 2 85800d2 [0,-1,0,-26408,1582812] 2
85800e (1 curve)	2	2+ 3+ 5+ 11+ 13-	2+ 3+ 5+ -3 11+ 13-  4  7
Curve Equation t Generators 85800e1 [0,-1,0,-148,877] 1 [-14:3:1]&[6:-13:1]
85800f (4 curves)	0	2+ 3+ 5+ 11+ 13-	2+ 3+ 5+ -4 11+ 13-  2 -4
Curve Equation t 85800f1 [0,-1,0,-1383,-2099988] 2 85800f2 [0,-1,0,-254508,-48674988] 4 85800f3 [0,-1,0,-502008,61710012] 4 85800f4 [0,-1,0,-4057008,-3143909988] 2
85800g (4 curves)	1	2+ 3+ 5+ 11- 13-	2+ 3+ 5+  0 11- 13-  2 -4
Curve Equation t Generators 85800g1 [0,-1,0,617,40012] 4 [36:328:1] 85800g2 [0,-1,0,-14508,645012] 4 [18:624:1] 85800g3 [0,-1,0,-42008,-2489988] 2 [-118:900:1] 85800g4 [0,-1,0,-229008,42258012] 2 [293:476:1]
85800h (1 curve)	1	2+ 3+ 5+ 11- 13-	2+ 3+ 5+  3 11- 13-  2  5
Curve Equation t Generators 85800h1 [0,-1,0,-532708,157092037] 1 [-270326:3195207:343]
85800i (2 curves)	1	2+ 3+ 5+ 11- 13-	2+ 3+ 5+ -4 11- 13- -4 -2
Curve Equation t Generators 85800i1 [0,-1,0,2192,-4388] 2 [42:400:1] 85800i2 [0,-1,0,-8808,-26388] 2 [97:150:1]
85800j (1 curve)	2	2+ 3+ 5- 11+ 13+	2+ 3+ 5- -1 11+ 13+ -7  7
Curve Equation t Generators 85800j1 [0,-1,0,792,-1188] 1 [2:20:1]&[17:130:1]
85800k (1 curve)	0	2+ 3+ 5- 11+ 13+	2+ 3+ 5-  2 11+ 13+  2  7
Curve Equation t 85800k1 [0,-1,0,-2469208,-1492625588] 1
85800l (1 curve)	0	2+ 3+ 5- 11+ 13+	2+ 3+ 5- -5 11+ 13+  2  7
Curve Equation t 85800l1 [0,-1,0,-3249808,2256932437] 1
85800m (1 curve)	1	2+ 3+ 5- 11+ 13-	2+ 3+ 5-  1 11+ 13-  2  5
Curve Equation t Generators 85800m1 [0,-1,0,292,-3963] 1 [17:75:1]
85800n (1 curve)	1	2+ 3+ 5- 11+ 13-	2+ 3+ 5- -1 11+ 13-  6 -1
Curve Equation t Generators 85800n1 [0,-1,0,5492,-7330763] 1 [322:-5265:1]
85800o (1 curve)	1	2+ 3+ 5- 11- 13+	2+ 3+ 5-  1 11- 13+ -6 -7
Curve Equation t Generators 85800o1 [0,-1,0,792,-9963] 1 [18:99:1]
85800p (1 curve)	1	2+ 3+ 5- 11- 13+	2+ 3+ 5- -4 11- 13+  4  3
Curve Equation t Generators 85800p1 [0,-1,0,-95159208,894566954412] 1 [24586:6355525:8]
85800q (6 curves)	0	2+ 3- 5+ 11+ 13+	2+ 3- 5+  0 11+ 13+ -2  4
Curve Equation t 85800q1 [0,1,0,-232383,43040238] 2 85800q2 [0,1,0,-232508,42991488] 4 85800q3 [0,1,0,-150008,74011488] 2 85800q4 [0,1,0,-317008,8853488] 4 85800q5 [0,1,0,1255992,71773488] 2 85800q6 [0,1,0,-3242008,-2237546512] 2
85800r (1 curve)	0	2+ 3- 5+ 11+ 13+	2+ 3- 5+ -1 11+ 13+  6 -3
Curve Equation t 85800r1 [0,1,0,-90208,-34463287] 1
85800s (1 curve)	0	2+ 3- 5+ 11+ 13+	2+ 3- 5+ -2 11+ 13+ -6  1
Curve Equation t 85800s1 [0,1,0,792,4848] 1
85800t (1 curve)	0	2+ 3- 5+ 11+ 13+	2+ 3- 5+  3 11+ 13+  1  1
Curve Equation t 85800t1 [0,1,0,-2345208,-1383138912] 1
85800u (1 curve)	0	2+ 3- 5+ 11+ 13+	2+ 3- 5+  3 11+ 13+ -6  1
Curve Equation t 85800u1 [0,1,0,4074392,-986393167] 1
85800v (1 curve)	0	2+ 3- 5+ 11+ 13+	2+ 3- 5+ -4 11+ 13+  3  0
Curve Equation t 85800v1 [0,1,0,3112,-2207952] 1
85800w (2 curves)	1	2+ 3- 5+ 11+ 13-	2+ 3- 5+  2 11+ 13-  4 -2
Curve Equation t Generators 85800w1 [0,1,0,-38467408,1118926792688] 2 [19748:2839200:1] 85800w2 [0,1,0,-1868592408,30869438792688] 2 [10733709:-598133250:343]
85800x (1 curve)	1	2+ 3- 5+ 11+ 13-	2+ 3- 5+  3 11+ 13-  0  5
Curve Equation t Generators 85800x1 [0,1,0,-215248,-38514127] 1 [70120:524043:125]
85800y (1 curve)	1	2+ 3- 5+ 11+ 13-	2+ 3- 5+  3 11+ 13- -3 -7
Curve Equation t Generators 85800y1 [0,1,0,-32968,2453408] 1 [-148:2028:1]
85800z (2 curves)	1	2+ 3- 5+ 11+ 13-	2+ 3- 5+ -4 11+ 13- -8  4
Curve Equation t Generators 85800z1 [0,1,0,292,-30912] 2 [64:504:1] 85800z2 [0,1,0,-13208,-570912] 2 [-68:132:1]
85800ba (6 curves)	1	2+ 3- 5+ 11- 13+	2+ 3- 5+  0 11- 13+ -2  4
Curve Equation t Generators 85800ba1 [0,1,0,-117983,15559038] 2 [214:396:1] 85800ba2 [0,1,0,-118108,15524288] 4 [32:3432:1] 85800ba3 [0,1,0,-59608,30968288] 2 [107:5082:1] 85800ba4 [0,1,0,-178608,-2141712] 4 [-372:3600:1] 85800ba5 [0,1,0,712392,-16397712] 2 [123:8550:1] 85800ba6 [0,1,0,-2037608,-1117541712] 2 [7243:603450:1]
85800bb (4 curves)	1	2+ 3- 5+ 11- 13+	2+ 3- 5+  0 11- 13+ -6  4
Curve Equation t Generators 85800bb1 [0,1,0,-294783,-61637562] 2 [-306:84:1] 85800bb2 [0,1,0,-372908,-26481312] 4 [-332:7800:1] 85800bb3 [0,1,0,1414592,-205231312] 2 [1043:49050:1] 85800bb4 [0,1,0,-3410408,2403518688] 2 [-716:66924:1]
85800bc (1 curve)	1	2+ 3- 5+ 11- 13+	2+ 3- 5+  3 11- 13+  6  1
Curve Equation t Generators 85800bc1 [0,1,0,-8,33] 1 [4:9:1]
85800bd (1 curve)	1	2+ 3- 5+ 11- 13+	2+ 3- 5+ -3 11- 13+  0  1
Curve Equation t Generators 85800bd1 [0,1,0,-5028408,-4342287312] 1 [3003:87450:1]
85800be (1 curve)	1	2+ 3- 5+ 11- 13+	2+ 3- 5+ -3 11- 13+  0 -5
Curve Equation t Generators 85800be1 [0,1,0,-588,6273] 1 [12:-33:1]
85800bf (1 curve)	1	2+ 3- 5+ 11- 13+	2+ 3- 5+  5 11- 13+ -4 -5
Curve Equation t Generators 85800bf1 [0,1,0,7292,-143287] 1 [2732:142893:1]
85800bg (4 curves)	0	2+ 3- 5+ 11- 13-	2+ 3- 5+  0 11- 13- -2 -4
Curve Equation t 85800bg1 [0,1,0,-3783,87438] 2 85800bg2 [0,1,0,-6908,-81312] 4 85800bg3 [0,1,0,25592,-601312] 4 85800bg4 [0,1,0,-89408,-10311312] 2
85800bh (2 curves)	0	2+ 3- 5+ 11- 13-	2+ 3- 5+  2 11- 13-  0  2
Curve Equation t 85800bh1 [0,1,0,14592,-9423312] 2 85800bh2 [0,1,0,-590408,-169143312] 2
85800bi (2 curves)	0	2+ 3- 5+ 11- 13-	2+ 3- 5+  2 11- 13-  6  8
Curve Equation t 85800bi1 [0,1,0,3303092,709738688] 2 85800bi2 [0,1,0,-13884408,5797238688] 2
85800bj (1 curve)	2	2+ 3- 5+ 11- 13-	2+ 3- 5+ -4 11- 13- -3 -7
Curve Equation t Generators 85800bj1 [0,1,0,70967,327777563] 1 [-637:4950:1]&[3323:-193050:1]
85800bk (4 curves)	0	2+ 3- 5+ 11- 13-	2+ 3- 5+ -4 11- 13-  6  4
Curve Equation t 85800bk1 [0,1,0,-160908,-24897312] 2 85800bk2 [0,1,0,-161408,-24735312] 4 85800bk3 [0,1,0,-26408,-64695312] 2 85800bk4 [0,1,0,-304408,25600688] 2
85800bl (1 curve)	1	2+ 3- 5- 11+ 13+	2+ 3- 5-  1 11+ 13+  2  3
Curve Equation t Generators 85800bl1 [0,1,0,-31208,-6600912] 1 [2283:108750:1]
85800bm (1 curve)	2	2+ 3- 5- 11+ 13-	2+ 3- 5- -2 11+ 13- -5 -5
Curve Equation t Generators 85800bm1 [0,1,0,-473,4683] 1 [13:30:1]&[-17:90:1]
85800bn (1 curve)	0	2+ 3- 5- 11+ 13-	2+ 3- 5- -5 11+ 13-  2  3
Curve Equation t 85800bn1 [0,1,0,292,-142287] 1
85800bo (1 curve)	1	2+ 3- 5- 11- 13-	2+ 3- 5- -3 11- 13- -4 -7
Curve Equation t Generators 85800bo1 [0,1,0,1092,-1287] 1 [48:405:1]
85800bp (1 curve)	0	2- 3+ 5+ 11+ 13+	2- 3+ 5+  5 11+ 13+ -2  3
Curve Equation t 85800bp1 [0,-1,0,12,-1143] 1
85800bq (2 curves)	1	2- 3+ 5+ 11+ 13-	2- 3+ 5+  0 11+ 13-  0  2
Curve Equation t Generators 85800bq1 [0,-1,0,-458008,-119437988] 2 [81176669486:2397619500000:62570773] 85800bq2 [0,-1,0,-7333008,-7640687988] 2 [45949833627228993:1854719035125175700:11587669164189]
85800br (4 curves)	1	2- 3+ 5+ 11+ 13-	2- 3+ 5+  0 11+ 13-  2  4
Curve Equation t Generators 85800br1 [0,-1,0,-1508,363012] 4 [-52:546:1] 85800br2 [0,-1,0,-86008,9658012] 4 [-63:3850:1] 85800br3 [0,-1,0,-151008,-6851988] 2 [5034:96957:8] 85800br4 [0,-1,0,-1373008,619696012] 2 [873:9254:1]
85800bs (4 curves)	1	2- 3+ 5+ 11+ 13-	2- 3+ 5+  0 11+ 13- -2  0
Curve Equation t Generators 85800bs1 [0,-1,0,702617,1588109512] 2 [-239:37503:1] 85800bs2 [0,-1,0,-16875508,25424047012] 4 [-2288:228150:1] 85800bs3 [0,-1,0,-48563008,-97967077988] 2 [-3538:171900:1] 85800bs4 [0,-1,0,-266438008,1674033922012] 2 [9518:15624:1]
85800bt (1 curve)	1	2- 3+ 5+ 11+ 13-	2- 3+ 5+  0 11+ 13- -7 -5
Curve Equation t Generators 85800bt1 [0,-1,0,20639367,104707766637] 1 [315585591129:54030091863150:11089567]
85800bu (1 curve)	1	2- 3+ 5+ 11+ 13-	2- 3+ 5+ -3 11+ 13-  4  6
Curve Equation t Generators 85800bu1 [0,-1,0,4192,-26388] 1 [154:1977:8]
85800bv (4 curves)	1	2- 3+ 5+ 11- 13+	2- 3+ 5+  0 11- 13+ -2  8
Curve Equation t Generators 85800bv1 [0,-1,0,-2783,-20688] 2 [-23:175:1] 85800bv2 [0,-1,0,-23908,1415812] 4 [-68:1650:1] 85800bv3 [0,-1,0,-4408,3638812] 2 [-42:1936:1] 85800bv4 [0,-1,0,-381408,90790812] 2 [358:36:1]
85800bw (1 curve)	1	2- 3+ 5+ 11- 13+	2- 3+ 5+  3 11- 13+  4 -7
Curve Equation t Generators 85800bw1 [0,-1,0,27292,-215463] 1 [6634:194643:8]
85800bx (4 curves)	1	2- 3+ 5+ 11- 13+	2- 3+ 5+ -4 11- 13+  6  0
Curve Equation t Generators 85800bx1 [0,-1,0,-19183,756112] 2 [137:825:1] 85800bx2 [0,-1,0,-110308,-13459388] 4 [-212:594:1] 85800bx3 [0,-1,0,65192,-52420388] 2 [438:7744:1] 85800bx4 [0,-1,0,-1743808,-885748388] 2 [-762:44:1]
85800by (4 curves)	0	2- 3+ 5+ 11- 13-	2- 3+ 5+  0 11- 13-  2 -4
Curve Equation t 85800by1 [0,-1,0,892,-1788] 2 85800by2 [0,-1,0,-3608,-10788] 4 85800by3 [0,-1,0,-36608,2695212] 2 85800by4 [0,-1,0,-42608,-3364788] 2
85800bz (2 curves)	0	2- 3+ 5+ 11- 13-	2- 3+ 5+  0 11- 13-  4  0
Curve Equation t 85800bz1 [0,-1,0,71292,-26718588] 2 85800bz2 [0,-1,0,-1022208,-365703588] 2
85800ca (2 curves)	0	2- 3+ 5+ 11- 13-	2- 3+ 5+ -2 11- 13-  6  4
Curve Equation t 85800ca1 [0,-1,0,-26815508,-53615672988] 2 85800ca2 [0,-1,0,-429443008,-3425218357988] 2
85800cb (1 curve)	1	2- 3+ 5- 11+ 13+	2- 3+ 5-  2 11+ 13+  5 -5
Curve Equation t Generators 85800cb1 [0,-1,0,-11833,609037] 1 [367:6750:1]
85800cc (1 curve)	1	2- 3+ 5- 11+ 13+	2- 3+ 5- -3 11+ 13+  0  5
Curve Equation t Generators 85800cc1 [0,-1,0,-5381208,-4803503463] 1 [20456454629988:351765788681949:7267563953]
85800cd (1 curve)	1	2- 3+ 5- 11+ 13+	2- 3+ 5- -3 11+ 13+  3 -7
Curve Equation t Generators 85800cd1 [0,-1,0,-824208,308324412] 1 [-907:17576:1]
85800ce (1 curve)	2	2- 3+ 5- 11+ 13-	2- 3+ 5-  1 11+ 13- -6 -3
Curve Equation t Generators 85800ce1 [0,-1,0,-3608,-274263] 1 [92:405:1]&[112:845:1]
85800cf (1 curve)	0	2- 3+ 5- 11+ 13-	2- 3+ 5- -1 11+ 13- -2  3
Curve Equation t 85800cf1 [0,-1,0,-1248,-52308] 1
85800cg (1 curve)	0	2- 3+ 5- 11+ 13-	2- 3+ 5-  2 11+ 13-  6  1
Curve Equation t 85800cg1 [0,-1,0,19792,566412] 1
85800ch (1 curve)	0	2- 3+ 5- 11+ 13-	2- 3+ 5- -3 11+ 13- -1  1
Curve Equation t 85800ch1 [0,-1,0,-93808,-11027588] 1
85800ci (1 curve)	0	2- 3+ 5- 11+ 13-	2- 3+ 5- -3 11+ 13-  6  1
Curve Equation t 85800ci1 [0,-1,0,101859792,-123502865463] 1
85800cj (1 curve)	0	2- 3+ 5- 11+ 13-	2- 3+ 5-  4 11+ 13- -3  0
Curve Equation t 85800cj1 [0,-1,0,77792,-276149588] 1
85800ck (1 curve)	1	2- 3+ 5- 11- 13-	2- 3+ 5-  3 11- 13-  0 -5
Curve Equation t Generators 85800ck1 [0,-1,0,-14708,813537] 1 [392:7425:1]
85800cl (1 curve)	1	2- 3+ 5- 11- 13-	2- 3+ 5- -3 11- 13- -6  1
Curve Equation t Generators 85800cl1 [0,-1,0,-208,4537] 1 [-8:75:1]
85800cm (1 curve)	1	2- 3+ 5- 11- 13-	2- 3+ 5- -5 11- 13-  4 -5
Curve Equation t Generators 85800cm1 [0,-1,0,292,-1263] 1 [8:39:1]
85800cn (1 curve)	1	2- 3- 5+ 11+ 13+	2- 3- 5+  1 11+ 13+ -6 -1
Curve Equation t Generators 85800cn1 [0,1,0,137292,-916070787] 1 [1074:21711:1]
85800co (1 curve)	1	2- 3- 5+ 11+ 13+	2- 3- 5+ -1 11+ 13+ -2  5
Curve Equation t Generators 85800co1 [0,1,0,12,-27] 1 [2:3:1]
85800cp (4 curves)	1	2- 3- 5+ 11+ 13+	2- 3- 5+  4 11+ 13+  2  4
Curve Equation t Generators 85800cp1 [0,1,0,-2283908,1807694688] 2 [-602:54450:1] 85800cp2 [0,1,0,-40096408,97700194688] 4 [3272:39312:1] 85800cp3 [0,1,0,-43671408,79238894688] 2 [12426:984879:8] 85800cp4 [0,1,0,-641521408,6253886494688] 2 [119434:515025:8]
85800cq (4 curves)	1	2- 3- 5+ 11+ 13+	2- 3- 5+  4 11+ 13+ -6 -4
Curve Equation t Generators 85800cq1 [0,1,0,-2465908,-1604077312] 2 [201009242658:77057719395850:1367631] 85800cq2 [0,1,0,-40278408,-98404077312] 4 [5530983728962371955975938049:235424041773186192150161973750:675089915423133421442483] 85800cq3 [0,1,0,-41103408,-94163577312] 2 [8479901793591016435027206288220867431128041565939833:-359909573841867202389199187293834313083271738632661862:1033269304830106331614746477620495123615847421187] 85800cq4 [0,1,0,-644453408,-6297239577312] 2 [326561926993803395088038489341285648125234489363:-123597896406367896399246758861516019539543451944350:2208091625733621869446524697980424804527441]
85800cr (4 curves)	1	2- 3- 5+ 11+ 13+	2- 3- 5+ -4 11+ 13+ -6 -4
Curve Equation t Generators 85800cr1 [0,1,0,4092,350688] 2 [38:750:1] 85800cr2 [0,1,0,-56408,4706688] 4 [-248:1872:1] 85800cr3 [0,1,0,-199408,-29041312] 2 [-2534:12501:8] 85800cr4 [0,1,0,-881408,318206688] 2 [6627:534378:1]
85800cs (1 curve)	0	2- 3- 5+ 11+ 13-	2- 3- 5+  1 11+ 13-  7  7
Curve Equation t 85800cs1 [0,1,0,19792,-108912] 1
85800ct (2 curves)	0	2- 3- 5+ 11+ 13-	2- 3- 5+  2 11+ 13- -2  4
Curve Equation t 85800ct1 [0,1,0,-1508,-40512] 2 85800ct2 [0,1,0,-29008,-1910512] 2
85800cu (1 curve)	0	2- 3- 5+ 11+ 13-	2- 3- 5+ -2 11+ 13- -2  7
Curve Equation t 85800cu1 [0,1,0,-98768,-11980512] 1
85800cv (1 curve)	0	2- 3- 5+ 11+ 13-	2- 3- 5+  5 11+ 13- -2  7
Curve Equation t 85800cv1 [0,1,0,-81245208,281954064213] 1
85800cw (1 curve)	0	2- 3- 5+ 11- 13+	2- 3- 5+ -3 11- 13+  0 -6
Curve Equation t 85800cw1 [0,1,0,-121408,-19297312] 1
85800cx (1 curve)	1	2- 3- 5+ 11- 13-	2- 3- 5+ -1 11- 13-  6 -7
Curve Equation t Generators 85800cx1 [0,1,0,32,-67] 1 [2:3:1]
85800cy (2 curves)	1	2- 3- 5+ 11- 13-	2- 3- 5+  2 11- 13-  0  2
Curve Equation t Generators 85800cy1 [0,1,0,-40008,3151488] 2 [263:3300:1] 85800cy2 [0,1,0,-645008,199171488] 2 [13701:45100:27]
85800cz (1 curve)	1	2- 3- 5+ 11- 13-	2- 3- 5+  4 11- 13- -4  3
Curve Equation t Generators 85800cz1 [0,1,0,-3806368,7155013088] 1 [15562:-674817:8]
85800da (1 curve)	0	2- 3- 5- 11+ 13+	2- 3- 5-  3 11+ 13+ -4  7
Curve Equation t 85800da1 [0,1,0,-3708,102213] 1
85800db (1 curve)	1	2- 3- 5- 11- 13+	2- 3- 5- -3 11- 13+ -2  5
Curve Equation t Generators 85800db1 [0,1,0,-21308,1248213] 1 [82:-243:1]

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