Cremona's table of elliptic curves

85440 = 2⁶ · 3 · 5 · 89

Class	r	Atkin-Lehner	Eigenvalues
85440a (4 curves)	1	2+ 3+ 5+ 89+	2+ 3+ 5+  2  0 -2  6 -2
Curve Equation t Generators 85440a1 [0,-1,0,-107841,-12064959] 2 [1443:53244:1] 85440a2 [0,-1,0,-427841,95263041] 2 [36121327:1269191916:24389] 85440a3 [0,-1,0,-8459841,-9468084159] 2 [455300307:14758994244:117649] 85440a4 [0,-1,0,-8463041,-9460559679] 2 [7828434095196058967:-253753329914510491764:2022796780419709]
85440b (1 curve)	1	2+ 3+ 5+ 89+	2+ 3+ 5+  2  2 -4 -2  4
Curve Equation t Generators 85440b1 [0,-1,0,-231,7281] 1 [-182:125:8]
85440c (4 curves)	2	2+ 3+ 5+ 89-	2+ 3+ 5+  0 -4  6 -6 -8
Curve Equation t Generators 85440c1 [0,-1,0,-1601,17985] 2 [-31:192:1]&[-17:200:1] 85440c2 [0,-1,0,-9601,-345215] 4 [-56:117:1]&[-49:72:1] 85440c3 [0,-1,0,4799,-1304255] 2 [184:2403:1]&[264:4277:1] 85440c4 [0,-1,0,-152001,-22758975] 2 [451:468:1]&[11322:407511:8]
85440d (2 curves)	2	2+ 3+ 5+ 89-	2+ 3+ 5+ -2 -4 -4 -2  0
Curve Equation t Generators 85440d1 [0,-1,0,-801,801] 2 [-24:75:1]&[-17:96:1] 85440d2 [0,-1,0,3199,3201] 2 [1:80:1]&[8:171:1]
85440e (4 curves)	2	2+ 3+ 5+ 89-	2+ 3+ 5+ -4  4  2 -6  0
Curve Equation t Generators 85440e1 [0,-1,0,-120641,12663105] 2 [-352:3375:1]&[31:2992:1] 85440e2 [0,-1,0,-632641,-182613695] 4 [-456:3293:1]&[8355:760060:1] 85440e3 [0,-1,0,506559,-768846015] 2 [2104:98013:1]&[28796265120:-797322526623:28372625] 85440e4 [0,-1,0,-9963841,-12102288575] 2 [3651:13172:1]&[41251:8352828:1]
85440f (2 curves)	0	2+ 3+ 5- 89+	2+ 3+ 5-  2  4  2 -6  6
Curve Equation t 85440f1 [0,-1,0,-811905,-279771903] 2 85440f2 [0,-1,0,-1311905,106328097] 2
85440g (2 curves)	0	2+ 3+ 5- 89+	2+ 3+ 5-  4  0 -4 -6 -2
Curve Equation t 85440g1 [0,-1,0,-9505,-353375] 2 85440g2 [0,-1,0,-7905,-477855] 2
85440h (4 curves)	0	2+ 3+ 5- 89+	2+ 3+ 5- -4  0  4 -6 -2
Curve Equation t 85440h1 [0,-1,0,-63062625,192776256225] 2 85440h2 [0,-1,0,-63037025,192940562145] 2 85440h3 [0,-1,0,-65213985,178920787617] 2 85440h4 [0,-1,0,98626015,933207379617] 2
85440i (1 curve)	0	2+ 3+ 5- 89+	2+ 3+ 5- -4  4  6 -4  6
Curve Equation t 85440i1 [0,-1,0,-5445,161757] 1
85440j (2 curves)	2	2+ 3+ 5- 89+	2+ 3+ 5- -4 -4 -4 -2 -2
Curve Equation t Generators 85440j1 [0,-1,0,-100,3502] 2 [-1:60:1]&[19:90:1] 85440j2 [0,-1,0,-4105,102025] 2 [-65:300:1]&[25:120:1]
85440k (2 curves)	1	2+ 3+ 5- 89-	2+ 3+ 5-  2  4 -4 -2  4
Curve Equation t Generators 85440k1 [0,-1,0,-7945,-215543] 2 [169:-1800:1] 85440k2 [0,-1,0,17055,-1320543] 2 [144:2025:1]
85440l (2 curves)	1	2+ 3+ 5- 89-	2+ 3+ 5-  4  0  2  2 -6
Curve Equation t Generators 85440l1 [0,-1,0,-485,-3003] 2 [129890:1452087:1000] 85440l2 [0,-1,0,1135,-20175] 2 [515:11700:1]
85440m (2 curves)	0	2+ 3- 5+ 89+	2+ 3- 5+  0  4  4  2  4
Curve Equation t 85440m1 [0,1,0,-421,-2005] 2 85440m2 [0,1,0,1359,-13041] 2
85440n (2 curves)	0	2+ 3- 5+ 89+	2+ 3- 5+  2  0  2 -2  2
Curve Equation t 85440n1 [0,1,0,-1121,-14721] 2 85440n2 [0,1,0,-1921,8159] 2
85440o (2 curves)	0	2+ 3- 5+ 89+	2+ 3- 5+ -2  0  6 -2 -6
Curve Equation t 85440o1 [0,1,0,-960321,254925855] 2 85440o2 [0,1,0,-14067521,20301077535] 2
85440p (1 curve)	2	2+ 3- 5+ 89+	2+ 3- 5+ -2 -2 -4 -2 -4
Curve Equation t Generators 85440p1 [0,1,0,-231,-7281] 1 [30:117:1]&[54:375:1]
85440q (4 curves)	1	2+ 3- 5+ 89-	2+ 3- 5+  0  4 -2 -6  4
Curve Equation t Generators 85440q1 [0,1,0,-14941,697859] 2 [35:468:1] 85440q2 [0,1,0,-16561,535535] 4 [26:351:1] 85440q3 [0,1,0,47519,3726719] 2 [1450:55887:1] 85440q4 [0,1,0,-106561,-13018465] 2 [-5298:16523:27]
85440r (4 curves)	1	2+ 3- 5+ 89-	2+ 3- 5+  4 -4 -2  2 -4
Curve Equation t Generators 85440r1 [0,1,0,-54401,-4580385] 2 [-2877:3608:27] 85440r2 [0,1,0,-854401,-304260385] 4 [1982371853:30142675200:1685159] 85440r3 [0,1,0,-838401,-316186785] 4 [97986:30671091:1] 85440r4 [0,1,0,-13670401,-19459053985] 2 [441631537438322:-68453866173385923:17943573032]
85440s (2 curves)	1	2+ 3- 5- 89+	2+ 3- 5-  0  0  0  2  6
Curve Equation t Generators 85440s1 [0,1,0,-9185,333183] 2 [-77:768:1] 85440s2 [0,1,0,-2785,795263] 2 [-67:828:1]
85440t (2 curves)	1	2+ 3- 5- 89+	2+ 3- 5-  4  4 -4 -2  2
Curve Equation t Generators 85440t1 [0,1,0,-100,-3502] 2 [53:378:1] 85440t2 [0,1,0,-4105,-102025] 2 [-37:24:1]
85440u (2 curves)	2	2+ 3- 5- 89-	2+ 3- 5- -2 -4 -4 -2 -4
Curve Equation t Generators 85440u1 [0,1,0,-7945,215543] 2 [131:-1200:1]&[-94:375:1] 85440u2 [0,1,0,17055,1320543] 2 [-9:-1080:1]&[-54:495:1]
85440v (1 curve)	0	2+ 3- 5- 89-	2+ 3- 5-  4  0  6 -4 -6
Curve Equation t 85440v1 [0,1,0,235,-525] 1
85440w (2 curves)	2	2- 3+ 5+ 89+	2- 3+ 5+  0 -4  4  2 -4
Curve Equation t Generators 85440w1 [0,-1,0,-421,2005] 2 [-20:45:1]&[-11:72:1] 85440w2 [0,-1,0,1359,13041] 2 [-7:56:1]&[1:120:1]
85440x (2 curves)	0	2- 3+ 5+ 89+	2- 3+ 5+  2  0  6 -2  6
Curve Equation t 85440x1 [0,-1,0,-960321,-254925855] 2 85440x2 [0,-1,0,-14067521,-20301077535] 2
85440y (2 curves)	0	2- 3+ 5+ 89+	2- 3+ 5+  2  4  6  6  6
Curve Equation t 85440y1 [0,-1,0,-1081,-13319] 2 85440y2 [0,-1,0,-1281,-7839] 2
85440z (2 curves)	2	2- 3+ 5+ 89+	2- 3+ 5+ -2  0  2 -2 -2
Curve Equation t Generators 85440z1 [0,-1,0,-1121,14721] 2 [23:-24:1]&[-11:160:1] 85440z2 [0,-1,0,-1921,-8159] 2 [-16:135:1]&[-5:36:1]
85440ba (4 curves)	1	2- 3+ 5+ 89-	2- 3+ 5+  0  0 -6  2  4
Curve Equation t Generators 85440ba1 [0,-1,0,-556,9106] 2 [417:1700:27] 85440ba2 [0,-1,0,-10681,428281] 4 [41:240:1] 85440ba3 [0,-1,0,-12481,276001] 2 [-32:801:1] 85440ba4 [0,-1,0,-170881,27245761] 2 [1930:483:8]
85440bb (4 curves)	1	2- 3+ 5+ 89-	2- 3+ 5+  0 -4 -2 -6 -4
Curve Equation t Generators 85440bb1 [0,-1,0,-14941,-697859] 2 [34660:783189:64] 85440bb2 [0,-1,0,-16561,-535535] 4 [-99:352:1] 85440bb3 [0,-1,0,47519,-3726719] 2 [810:11627:8] 85440bb4 [0,-1,0,-106561,13018465] 2 [304:2937:1]
85440bc (1 curve)	1	2- 3+ 5+ 89-	2- 3+ 5+ -2  6 -4 -6  0
Curve Equation t Generators 85440bc1 [0,-1,0,1149,-2040615] 1 [1354:13795:8]
85440bd (4 curves)	1	2- 3+ 5+ 89-	2- 3+ 5+ -4  4 -2  2  4
Curve Equation t Generators 85440bd1 [0,-1,0,-54401,4580385] 2 [-139:3072:1] 85440bd2 [0,-1,0,-854401,304260385] 4 [1111:26928:1] 85440bd3 [0,-1,0,-838401,316186785] 2 [359:7832:1] 85440bd4 [0,-1,0,-13670401,19459053985] 4 [3045141:16474768:1331]
85440be (2 curves)	1	2- 3+ 5- 89+	2- 3+ 5-  0  0  0  2 -6
Curve Equation t Generators 85440be1 [0,-1,0,-9185,-333183] 2 [-53:44:1] 85440be2 [0,-1,0,-2785,-795263] 2 [587:14124:1]
85440bf (1 curve)	1	2- 3+ 5- 89+	2- 3+ 5- -2 -2  4 -2 -8
Curve Equation t Generators 85440bf1 [0,-1,0,-35,-75] 1 [12:33:1]
85440bg (1 curve)	0	2- 3+ 5- 89-	2- 3+ 5- -4  0  6 -4  6
Curve Equation t 85440bg1 [0,-1,0,235,525] 1
85440bh (4 curves)	1	2- 3- 5+ 89+	2- 3- 5+ -2  0 -2  6  2
Curve Equation t Generators 85440bh1 [0,1,0,-107841,12064959] 2 [-273:4608:1] 85440bh2 [0,1,0,-427841,-95263041] 2 [-398:3483:1] 85440bh3 [0,1,0,-8459841,9468084159] 2 [527:71808:1] 85440bh4 [0,1,0,-8463041,9460559679] 2 [14214:1937881:27]
85440bi (2 curves)	1	2- 3- 5+ 89+	2- 3- 5+ -2 -4  6  6 -6
Curve Equation t Generators 85440bi1 [0,1,0,-1081,13319] 2 [-1:120:1] 85440bi2 [0,1,0,-1281,7839] 2 [-3:108:1]
85440bj (4 curves)	0	2- 3- 5+ 89-	2- 3- 5+  0  0 -6  2 -4
Curve Equation t 85440bj1 [0,1,0,-556,-9106] 2 85440bj2 [0,1,0,-10681,-428281] 4 85440bj3 [0,1,0,-12481,-276001] 2 85440bj4 [0,1,0,-170881,-27245761] 2
85440bk (4 curves)	0	2- 3- 5+ 89-	2- 3- 5+  0  4  6 -6  8
Curve Equation t 85440bk1 [0,1,0,-1601,-17985] 2 85440bk2 [0,1,0,-9601,345215] 4 85440bk3 [0,1,0,4799,1304255] 2 85440bk4 [0,1,0,-152001,22758975] 2
85440bl (2 curves)	0	2- 3- 5+ 89-	2- 3- 5+  2  4 -4 -2  0
Curve Equation t 85440bl1 [0,1,0,-801,-801] 2 85440bl2 [0,1,0,3199,-3201] 2
85440bm (1 curve)	2	2- 3- 5+ 89-	2- 3- 5+  2 -6 -4 -6  0
Curve Equation t Generators 85440bm1 [0,1,0,1149,2040615] 1 [-58:1335:1]&[6:1431:1]
85440bn (4 curves)	0	2- 3- 5+ 89-	2- 3- 5+  4 -4  2 -6  0
Curve Equation t 85440bn1 [0,1,0,-120641,-12663105] 2 85440bn2 [0,1,0,-632641,182613695] 4 85440bn3 [0,1,0,506559,768846015] 2 85440bn4 [0,1,0,-9963841,12102288575] 2
85440bo (1 curve)	0	2- 3- 5- 89+	2- 3- 5-  2  2  4 -2  8
Curve Equation t 85440bo1 [0,1,0,-35,75] 1
85440bp (2 curves)	2	2- 3- 5- 89+	2- 3- 5- -2 -4  2 -6 -6
Curve Equation t Generators 85440bp1 [0,1,0,-811905,279771903] 2 [8877:188000:27]&[426:3375:1] 85440bp2 [0,1,0,-1311905,-106328097] 2 [-1049:10800:1]&[-779:21060:1]
85440bq (4 curves)	0	2- 3- 5- 89+	2- 3- 5-  4  0  4 -6  2
Curve Equation t 85440bq1 [0,1,0,-63062625,-192776256225] 2 85440bq2 [0,1,0,-63037025,-192940562145] 2 85440bq3 [0,1,0,-65213985,-178920787617] 2 85440bq4 [0,1,0,98626015,-933207379617] 2
85440br (1 curve)	0	2- 3- 5- 89+	2- 3- 5-  4 -4  6 -4 -6
Curve Equation t 85440br1 [0,1,0,-5445,-161757] 1
85440bs (2 curves)	2	2- 3- 5- 89+	2- 3- 5- -4  0 -4 -6  2
Curve Equation t Generators 85440bs1 [0,1,0,-9505,353375] 2 [65:120:1]&[-70:825:1] 85440bs2 [0,1,0,-7905,477855] 2 [-57:864:1]&[-22:801:1]
85440bt (2 curves)	1	2- 3- 5- 89-	2- 3- 5- -4  0  2  2  6
Curve Equation t Generators 85440bt1 [0,1,0,-485,3003] 2 [-2:63:1] 85440bt2 [0,1,0,1135,20175] 2 [-5:120:1]

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