Cremona's table of elliptic curves

98880 = 2⁶ · 3 · 5 · 103

Class	r	Atkin-Lehner	Eigenvalues
98880a (4 curves)	1	2+ 3+ 5+ 103+	2+ 3+ 5+  0  0 -2 -6 -4
Curve Equation t Generators 98880a1 [0,-1,0,9964,-152610] 2 [677845:30163930:343] 98880a2 [0,-1,0,-43081,-1224119] 4 [7909:703080:1] 98880a3 [0,-1,0,-376801,88279585] 2 [385:360:1] 98880a4 [0,-1,0,-558081,-160153119] 2 [236016144:20908955655:29791]
98880b (1 curve)	1	2+ 3+ 5+ 103+	2+ 3+ 5+  0  3  5  4  0
Curve Equation t Generators 98880b1 [0,-1,0,-1121,15585] 1 [41:192:1]
98880c (1 curve)	1	2+ 3+ 5+ 103+	2+ 3+ 5+ -1 -2  2  3  2
Curve Equation t Generators 98880c1 [0,-1,0,24,-414] 1 [201:298:27]
98880d (1 curve)	1	2+ 3+ 5+ 103+	2+ 3+ 5+  2  1 -4  0  5
Curve Equation t Generators 98880d1 [0,-1,0,-6241,191905] 1 [48:25:1]
98880e (1 curve)	1	2+ 3+ 5+ 103+	2+ 3+ 5+  3 -6 -2  3  2
Curve Equation t Generators 98880e1 [0,-1,0,-4296,224346] 1 [9921:187298:27]
98880f (1 curve)	1	2+ 3+ 5+ 103+	2+ 3+ 5+ -3  0 -4  1  6
Curve Equation t Generators 98880f1 [0,-1,0,362399,-219914015] 1 [684651:13464832:1331]
98880g (1 curve)	0	2+ 3+ 5+ 103-	2+ 3+ 5+ -2  5  3 -6  6
Curve Equation t 98880g1 [0,-1,0,2239,1136961] 1
98880h (4 curves)	0	2+ 3+ 5- 103+	2+ 3+ 5-  0  4  2 -6  4
Curve Equation t 98880h1 [0,-1,0,-1245,525] 2 98880h2 [0,-1,0,-13745,623025] 4 98880h3 [0,-1,0,-7745,1164225] 2 98880h4 [0,-1,0,-219745,39721825] 2
98880i (1 curve)	0	2+ 3+ 5- 103+	2+ 3+ 5- -2 -1  3 -6  2
Curve Equation t 98880i1 [0,-1,0,-796545,274050945] 1
98880j (1 curve)	0	2+ 3+ 5- 103+	2+ 3+ 5- -2  5  0  0 -1
Curve Equation t 98880j1 [0,-1,0,-385,-91775] 1
98880k (4 curves)	1	2+ 3+ 5- 103-	2+ 3+ 5-  0  4 -2  2 -4
Curve Equation t Generators 98880k1 [0,-1,0,-18625,-972095] 2 [84356359059:674223233536:444194947] 98880k2 [0,-1,0,-19905,-829503] 4 [220871:5455232:343] 98880k3 [0,-1,0,46015,-5219775] 2 [2545:128800:1] 98880k4 [0,-1,0,-106305,12666177] 4 [1123711288:25988948371:1685159]
98880l (1 curve)	1	2+ 3+ 5- 103-	2+ 3+ 5-  1  2 -2 -7  6
Curve Equation t Generators 98880l1 [0,-1,0,-3985,-109775] 1 [95:600:1]
98880m (3 curves)	1	2+ 3+ 5- 103-	2+ 3+ 5- -1  0  4 -3 -2
Curve Equation t Generators 98880m1 [0,-1,0,-29025,1919457] 1 [137:704:1] 98880m2 [0,-1,0,66015,10008225] 1 [857:26368:1] 98880m3 [0,-1,0,-626145,-363619743] 1 [1097:16384:1]
98880n (1 curve)	1	2+ 3+ 5- 103-	2+ 3+ 5- -1  0 -4  3  6
Curve Equation t Generators 98880n1 [0,-1,0,-216158945,1309783103457] 1 [28369:4243600:1]
98880o (2 curves)	1	2+ 3+ 5- 103-	2+ 3+ 5-  2 -3  4  0  7
Curve Equation t Generators 98880o1 [0,-1,0,-1624225,1296270625] 1 [1017:26368:1] 98880o2 [0,-1,0,13504415,-22346589983] 1 [3177:229376:1]
98880p (2 curves)	1	2+ 3+ 5- 103-	2+ 3+ 5- -4 -3  1  0 -8
Curve Equation t Generators 98880p1 [0,-1,0,-82785,-19807263] 1 [7977:711936:1] 98880p2 [0,-1,0,-8685345,-9849210975] 1 [8217:688128:1]
98880q (1 curve)	1	2+ 3+ 5- 103-	2+ 3+ 5- -5 -4  0  3  6
Curve Equation t Generators 98880q1 [0,-1,0,-65,-9663] 1 [49:-320:1]
98880r (1 curve)	0	2+ 3- 5+ 103+	2+ 3- 5+  4 -5  5  0 -4
Curve Equation t 98880r1 [0,1,0,-21601,-1257985] 1
98880s (4 curves)	1	2+ 3- 5+ 103-	2+ 3- 5+  0  0 -2 -6  4
Curve Equation t Generators 98880s1 [0,1,0,9964,152610] 2 [181:2814:1] 98880s2 [0,1,0,-43081,1224119] 4 [-118:2163:1] 98880s3 [0,1,0,-376801,-88279585] 2 [-334:651:1] 98880s4 [0,1,0,-558081,160153119] 2 [-45:13608:1]
98880t (1 curve)	1	2+ 3- 5+ 103-	2+ 3- 5+  1  2  2  3 -2
Curve Equation t Generators 98880t1 [0,1,0,24,414] 1 [-3:18:1]
98880u (1 curve)	1	2+ 3- 5+ 103-	2+ 3- 5+ -2 -1 -4  0 -5
Curve Equation t Generators 98880u1 [0,1,0,-6241,-191905] 1 [1477:56700:1]
98880v (1 curve)	1	2+ 3- 5+ 103-	2+ 3- 5+  3  0  4 -5  2
Curve Equation t Generators 98880v1 [0,1,0,-161,1599] 1 [-5:48:1]
98880w (1 curve)	1	2+ 3- 5+ 103-	2+ 3- 5+ -3  6 -2  3 -2
Curve Equation t Generators 98880w1 [0,1,0,-4296,-224346] 1 [1648863:2032190:19683]
98880x (2 curves)	1	2+ 3- 5- 103+	2+ 3- 5-  0 -4 -2 -8 -8
Curve Equation t Generators 98880x1 [0,1,0,-405,3003] 2 [47:300:1] 98880x2 [0,1,0,-305,4623] 2 [-17:72:1]
98880y (4 curves)	1	2+ 3- 5- 103+	2+ 3- 5-  0 -4  6 -2 -4
Curve Equation t Generators 98880y1 [0,1,0,-23905,1012223] 2 [255380672007873:4934051851010048:603565357851] 98880y2 [0,1,0,-351585,80114175] 4 [-528814:26984043:2197] 98880y3 [0,1,0,-320865,94718463] 2 [6611:535680:1] 98880y4 [0,1,0,-5625185,5133277695] 4 [92246442678:2306657483551:43243551]
98880z (1 curve)	1	2+ 3- 5- 103+	2+ 3- 5-  2 -5  3 -2 -2
Curve Equation t Generators 98880z1 [0,1,0,2815,-27297] 1 [13:108:1]
98880ba (1 curve)	1	2+ 3- 5- 103+	2+ 3- 5-  3  2 -6  1  2
Curve Equation t Generators 98880ba1 [0,1,0,-945,-11505] 1 [2795697:173146616:729]
98880bb (4 curves)	0	2+ 3- 5- 103-	2+ 3- 5-  0 -4  2  6  4
Curve Equation t 98880bb1 [0,1,0,-285,25443] 2 98880bb2 [0,1,0,-14865,687375] 4 98880bb3 [0,1,0,-25665,-455265] 2 98880bb4 [0,1,0,-237345,44426943] 2
98880bc (1 curve)	0	2+ 3- 5- 103-	2+ 3- 5-  2  3  0  0  7
Curve Equation t 98880bc1 [0,1,0,-194903105,-1059636636897] 1
98880bd (2 curves)	0	2- 3+ 5+ 103+	2- 3+ 5+  0  0  2  0  0
Curve Equation t 98880bd1 [0,-1,0,-4176,-547074] 2 98880bd2 [0,-1,0,-129321,-17792055] 2
98880be (1 curve)	0	2- 3+ 5+ 103+	2- 3+ 5+ -3  0  4 -5 -2
Curve Equation t 98880be1 [0,-1,0,-161,-1599] 1
98880bf (1 curve)	1	2- 3+ 5+ 103-	2- 3+ 5+ -2 -3 -1  6  6
Curve Equation t Generators 98880bf1 [0,-1,0,-229761,-1202759199] 1 [389709:243281880:1]
98880bg (1 curve)	1	2- 3+ 5+ 103-	2- 3+ 5+ -4  5  5  0  4
Curve Equation t Generators 98880bg1 [0,-1,0,-21601,1257985] 1 [109:432:1]
98880bh (4 curves)	1	2- 3+ 5- 103+	2- 3+ 5-  0  4  2  6 -4
Curve Equation t Generators 98880bh1 [0,-1,0,-285,-25443] 2 [365534561:-99704866488:4913] 98880bh2 [0,-1,0,-14865,-687375] 4 [-319379:18544:4913] 98880bh3 [0,-1,0,-25665,455265] 2 [5093245849:-2623988444:33698267] 98880bh4 [0,-1,0,-237345,-44426943] 2 [-313358926136:204030455:1115157653]
98880bi (1 curve)	1	2- 3+ 5- 103+	2- 3+ 5- -2 -1 -1  6  2
Curve Equation t Generators 98880bi1 [0,-1,0,-15425,-732255] 1 [317:5112:1]
98880bj (1 curve)	1	2- 3+ 5- 103+	2- 3+ 5- -2 -3  0  0 -7
Curve Equation t Generators 98880bj1 [0,-1,0,-194903105,1059636636897] 1 [12549:768000:1]
98880bk (1 curve)	1	2- 3+ 5- 103+	2- 3+ 5- -4  3  1  4  8
Curve Equation t Generators 98880bk1 [0,-1,0,95,-2975] 1 [25:-120:1]
98880bl (2 curves)	0	2- 3+ 5- 103-	2- 3+ 5-  0  4 -2 -8  8
Curve Equation t 98880bl1 [0,-1,0,-405,-3003] 2 98880bl2 [0,-1,0,-305,-4623] 2
98880bm (4 curves)	0	2- 3+ 5- 103-	2- 3+ 5-  0  4  6 -2  4
Curve Equation t 98880bm1 [0,-1,0,-23905,-1012223] 2 98880bm2 [0,-1,0,-351585,-80114175] 4 98880bm3 [0,-1,0,-320865,-94718463] 4 98880bm4 [0,-1,0,-5625185,-5133277695] 2
98880bn (1 curve)	0	2- 3+ 5- 103-	2- 3+ 5- -2  5  3 -2  2
Curve Equation t 98880bn1 [0,-1,0,2815,27297] 1
98880bo (1 curve)	2	2- 3+ 5- 103-	2- 3+ 5- -3 -2 -6  1 -2
Curve Equation t Generators 98880bo1 [0,-1,0,-945,11505] 1 [7:72:1]&[17:-8:1]
98880bp (1 curve)	1	2- 3- 5+ 103+	2- 3- 5+  2  3 -1  6 -6
Curve Equation t Generators 98880bp1 [0,1,0,-229761,1202759199] 1 [-423:34992:1]
98880bq (1 curve)	1	2- 3- 5+ 103+	2- 3- 5+  2 -5  3 -6 -6
Curve Equation t Generators 98880bq1 [0,1,0,2239,-1136961] 1 [97:48:1]
98880br (2 curves)	0	2- 3- 5+ 103-	2- 3- 5+  0  0  2  0  0
Curve Equation t 98880br1 [0,1,0,-4176,547074] 2 98880br2 [0,1,0,-129321,17792055] 2
98880bs (1 curve)	0	2- 3- 5+ 103-	2- 3- 5+  0 -3  5  4  0
Curve Equation t 98880bs1 [0,1,0,-1121,-15585] 1
98880bt (1 curve)	0	2- 3- 5+ 103-	2- 3- 5+  3  0 -4  1 -6
Curve Equation t 98880bt1 [0,1,0,362399,219914015] 1
98880bu (4 curves)	0	2- 3- 5- 103+	2- 3- 5-  0 -4 -2  2  4
Curve Equation t 98880bu1 [0,1,0,-18625,972095] 2 98880bu2 [0,1,0,-19905,829503] 4 98880bu3 [0,1,0,46015,5219775] 4 98880bu4 [0,1,0,-106305,-12666177] 2
98880bv (3 curves)	0	2- 3- 5- 103+	2- 3- 5-  1  0  4 -3  2
Curve Equation t 98880bv1 [0,1,0,-29025,-1919457] 1 98880bv2 [0,1,0,66015,-10008225] 1 98880bv3 [0,1,0,-626145,363619743] 1
98880bw (1 curve)	0	2- 3- 5- 103+	2- 3- 5-  1  0 -4  3 -6
Curve Equation t 98880bw1 [0,1,0,-216158945,-1309783103457] 1
98880bx (1 curve)	2	2- 3- 5- 103+	2- 3- 5- -1 -2 -2 -7 -6
Curve Equation t Generators 98880bx1 [0,1,0,-3985,109775] 1 [155:1800:1]&[-61:360:1]
98880by (2 curves)	0	2- 3- 5- 103+	2- 3- 5- -2  3  4  0 -7
Curve Equation t 98880by1 [0,1,0,-1624225,-1296270625] 1 98880by2 [0,1,0,13504415,22346589983] 1
98880bz (2 curves)	0	2- 3- 5- 103+	2- 3- 5-  4  3  1  0  8
Curve Equation t 98880bz1 [0,1,0,-82785,19807263] 1 98880bz2 [0,1,0,-8685345,9849210975] 1
98880ca (1 curve)	0	2- 3- 5- 103+	2- 3- 5-  5  4  0  3 -6
Curve Equation t 98880ca1 [0,1,0,-65,9663] 1
98880cb (4 curves)	1	2- 3- 5- 103-	2- 3- 5-  0 -4  2 -6 -4
Curve Equation t Generators 98880cb1 [0,1,0,-1245,-525] 2 [-10:105:1] 98880cb2 [0,1,0,-13745,-623025] 4 [2095:95760:1] 98880cb3 [0,1,0,-7745,-1164225] 2 [56550:2586185:27] 98880cb4 [0,1,0,-219745,-39721825] 2 [725795:32493420:343]
98880cc (1 curve)	1	2- 3- 5- 103-	2- 3- 5-  2  1 -1  6 -2
Curve Equation t Generators 98880cc1 [0,1,0,-15425,732255] 1 [73:24:1]
98880cd (1 curve)	1	2- 3- 5- 103-	2- 3- 5-  2  1  3 -6 -2
Curve Equation t Generators 98880cd1 [0,1,0,-796545,-274050945] 1 [12753:1436616:1]
98880ce (1 curve)	1	2- 3- 5- 103-	2- 3- 5-  2 -5  0  0  1
Curve Equation t Generators 98880ce1 [0,1,0,-385,91775] 1 [95:960:1]
98880cf (1 curve)	1	2- 3- 5- 103-	2- 3- 5-  4 -3  1  4 -8
Curve Equation t Generators 98880cf1 [0,1,0,95,2975] 1 [5:60:1]

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

Part of Computational Number Theory
Back to Tables and computations