Cremona's table of elliptic curves

99600 = 2⁴ · 3 · 5² · 83

Class	r	Atkin-Lehner	Eigenvalues
99600a (1 curve)	1	2+ 3+ 5+ 83+	2+ 3+ 5+ -1  2 -3  4  5
Curve Equation t Generators 99600a1 [0,-1,0,-233,1557] 1 [74:83:8]
99600b (1 curve)	1	2+ 3+ 5+ 83+	2+ 3+ 5+ -1  5  6  1 -4
Curve Equation t Generators 99600b1 [0,-1,0,-137083,-19489838] 1 [1483599813668158:61406870567393091:825821690968]
99600c (1 curve)	1	2+ 3+ 5+ 83+	2+ 3+ 5+  3  1  4  7 -4
Curve Equation t Generators 99600c1 [0,-1,0,-40208,4728912] 1 [188:1944:1]
99600d (4 curves)	0	2+ 3+ 5+ 83-	2+ 3+ 5+  0  4  6 -2 -8
Curve Equation t 99600d1 [0,-1,0,-51908,4569312] 2 99600d2 [0,-1,0,-52408,4477312] 4 99600d3 [0,-1,0,22592,16177312] 2 99600d4 [0,-1,0,-135408,-13118688] 2
99600e (1 curve)	0	2+ 3+ 5+ 83-	2+ 3+ 5+ -1  1  4 -3  8
Curve Equation t 99600e1 [0,-1,0,-12708,-551088] 1
99600f (1 curve)	0	2+ 3+ 5+ 83-	2+ 3+ 5+  3  1  0  1  4
Curve Equation t 99600f1 [0,-1,0,772,1872] 1
99600g (2 curves)	0	2+ 3+ 5+ 83-	2+ 3+ 5+  4 -2 -2  0  2
Curve Equation t 99600g1 [0,-1,0,-27008,1282512] 2 99600g2 [0,-1,0,-152008,-21717488] 2
99600h (1 curve)	0	2+ 3+ 5- 83+	2+ 3+ 5- -1 -3  2 -1  0
Curve Equation t 99600h1 [0,-1,0,444792,-129521088] 1
99600i (1 curve)	0	2+ 3+ 5- 83+	2+ 3+ 5- -1  5  6  3 -4
Curve Equation t 99600i1 [0,-1,0,-2208,-47088] 1
99600j (1 curve)	0	2+ 3+ 5- 83+	2+ 3+ 5- -2 -2 -7  0  4
Curve Equation t 99600j1 [0,-1,0,-9208,-343088] 1
99600k (1 curve)	0	2+ 3+ 5- 83+	2+ 3+ 5-  3  1 -2  7  0
Curve Equation t 99600k1 [0,-1,0,-10469208,13041726912] 1
99600l (1 curve)	0	2+ 3+ 5- 83+	2+ 3+ 5-  3 -5  6  3  4
Curve Equation t 99600l1 [0,-1,0,-7708,88408912] 1
99600m (1 curve)	0	2+ 3+ 5- 83+	2+ 3+ 5- -5  1  2  3  4
Curve Equation t 99600m1 [0,-1,0,-1068608,430512912] 1
99600n (1 curve)	2	2+ 3+ 5- 83+	2+ 3+ 5- -5 -5 -2 -5  0
Curve Equation t Generators 99600n1 [0,-1,0,292,12912] 1 [-19:12:1]&[-8:100:1]
99600o (1 curve)	1	2+ 3+ 5- 83-	2+ 3+ 5- -1  3  4 -5  2
Curve Equation t Generators 99600o1 [0,-1,0,417,162] 1 [42:300:1]
99600p (1 curve)	1	2+ 3+ 5- 83-	2+ 3+ 5- -1  3 -4  7  0
Curve Equation t Generators 99600p1 [0,-1,0,-4083,-103338] 1 [78:216:1]
99600q (1 curve)	1	2+ 3+ 5- 83-	2+ 3+ 5-  3 -5  0  3  4
Curve Equation t Generators 99600q1 [0,-1,0,517,9762] 1 [98:996:1]
99600r (2 curves)	0	2+ 3- 5+ 83+	2+ 3- 5+  0  2 -4 -4 -2
Curve Equation t 99600r1 [0,1,0,-1908,-31812] 2 99600r2 [0,1,0,592,-106812] 2
99600s (4 curves)	0	2+ 3- 5+ 83+	2+ 3- 5+  0 -4  2 -2  0
Curve Equation t 99600s1 [0,1,0,11217,-651312] 2 99600s2 [0,1,0,-79908,-6847812] 4 99600s3 [0,1,0,-417408,97777188] 2 99600s4 [0,1,0,-1200408,-506590812] 2
99600t (1 curve)	0	2+ 3- 5+ 83+	2+ 3- 5+  1  3  4 -7  0
Curve Equation t 99600t1 [0,1,0,-163,-892] 1
99600u (1 curve)	0	2+ 3- 5+ 83+	2+ 3- 5+  1  3 -4  5  2
Curve Equation t 99600u1 [0,1,0,17,8] 1
99600v (1 curve)	0	2+ 3- 5+ 83+	2+ 3- 5+ -3 -5  0 -3  4
Curve Equation t 99600v1 [0,1,0,12917,1246088] 1
99600w (2 curves)	0	2+ 3- 5+ 83+	2+ 3- 5+  4  0 -4  2  8
Curve Equation t 99600w1 [0,1,0,-126408,-2770812] 2 99600w2 [0,1,0,498592,-21520812] 2
99600x (2 curves)	1	2+ 3- 5+ 83-	2+ 3- 5+  0 -2  2 -4  6
Curve Equation t Generators 99600x1 [0,1,0,-19008,-1014012] 2 [-78:12:1] 99600x2 [0,1,0,-24008,-444012] 2 [-86:996:1]
99600y (1 curve)	1	2+ 3- 5+ 83-	2+ 3- 5+  1 -3 -2  1  0
Curve Equation t Generators 99600y1 [0,1,0,17792,-1029052] 1 [134:1944:1]
99600z (1 curve)	1	2+ 3- 5+ 83-	2+ 3- 5+  1  5 -6 -3 -4
Curve Equation t Generators 99600z1 [0,1,0,-88,-412] 1 [14:36:1]
99600ba (1 curve)	1	2+ 3- 5+ 83-	2+ 3- 5+  2 -2  7  0  4
Curve Equation t Generators 99600ba1 [0,1,0,-368,-2892] 1 [22:12:1]
99600bb (1 curve)	1	2+ 3- 5+ 83-	2+ 3- 5+ -3  1  2 -7  0
Curve Equation t Generators 99600bb1 [0,1,0,-418768,104166308] 1 [374:24:1]
99600bc (1 curve)	1	2+ 3- 5+ 83-	2+ 3- 5+ -3 -5 -6 -3  4
Curve Equation t Generators 99600bc1 [0,1,0,-308,707148] 1 [202:2988:1]
99600bd (2 curves)	1	2+ 3- 5+ 83-	2+ 3- 5+ -4  0  4 -6 -4
Curve Equation t Generators 99600bd1 [0,1,0,-18608,970788] 2 [88:-150:1] 99600bd2 [0,1,0,-17608,1080788] 2 [68:-450:1]
99600be (1 curve)	1	2+ 3- 5+ 83-	2+ 3- 5+  5  1 -2 -3  4
Curve Equation t Generators 99600be1 [0,1,0,-26715208,53760683588] 1 [3782:82668:1]
99600bf (1 curve)	1	2+ 3- 5+ 83-	2+ 3- 5+  5 -5  2  5  0
Curve Equation t Generators 99600bf1 [0,1,0,12,108] 1 [2:12:1]
99600bg (1 curve)	1	2+ 3- 5- 83+	2+ 3- 5-  1  1 -4  3  8
Curve Equation t Generators 99600bg1 [0,1,0,-508,-4612] 1 [38:180:1]
99600bh (1 curve)	1	2+ 3- 5- 83+	2+ 3- 5- -3  1  0 -1  4
Curve Equation t Generators 99600bh1 [0,1,0,19292,272588] 1 [158:-2700:1]
99600bi (1 curve)	0	2+ 3- 5- 83-	2+ 3- 5-  1  2  3 -4  5
Curve Equation t 99600bi1 [0,1,0,-5833,182963] 1
99600bj (1 curve)	0	2+ 3- 5- 83-	2+ 3- 5-  1  5 -6 -1 -4
Curve Equation t 99600bj1 [0,1,0,-5483,-158112] 1
99600bk (1 curve)	2	2+ 3- 5- 83-	2+ 3- 5- -3  1 -4 -7 -4
Curve Equation t Generators 99600bk1 [0,1,0,-1608,37188] 1 [48:-270:1]&[-42:180:1]
99600bl (2 curves)	0	2- 3+ 5+ 83+	2- 3+ 5+  0  2  4  0  6
Curve Equation t 99600bl1 [0,-1,0,-16008,694512] 2 99600bl2 [0,-1,0,23992,3574512] 2
99600bm (2 curves)	0	2- 3+ 5+ 83+	2- 3+ 5+  0 -2 -4  4  2
Curve Equation t 99600bm1 [0,-1,0,-13878008,19841518512] 2 99600bm2 [0,-1,0,-7628008,37791518512] 2
99600bn (1 curve)	0	2- 3+ 5+ 83+	2- 3+ 5+  0  3  6  4  7
Curve Equation t 99600bn1 [0,-1,0,-22008,-1249488] 1
99600bo (1 curve)	2	2- 3+ 5+ 83+	2- 3+ 5+ -1  1 -4  3  0
Curve Equation t Generators 99600bo1 [0,-1,0,-248,-10128] 1 [26:18:1]&[28:64:1]
99600bp (1 curve)	0	2- 3+ 5+ 83+	2- 3+ 5+ -3  5  4  3  0
Curve Equation t 99600bp1 [0,-1,0,-328413,72549612] 1
99600bq (2 curves)	0	2- 3+ 5+ 83+	2- 3+ 5+  4 -4  2 -6  2
Curve Equation t 99600bq1 [0,-1,0,467,4312] 2 99600bq2 [0,-1,0,-2908,44812] 2
99600br (2 curves)	2	2- 3+ 5+ 83+	2- 3+ 5+ -4 -2  2  0 -6
Curve Equation t Generators 99600br1 [0,-1,0,-7408,37312] 2 [-63:500:1]&[-24:448:1] 99600br2 [0,-1,0,-87408,9957312] 2 [-238:4150:1]&[-72:3984:1]
99600bs (1 curve)	0	2- 3+ 5+ 83+	2- 3+ 5+ -4  3 -2 -4  1
Curve Equation t 99600bs1 [0,-1,0,592,-2688] 1
99600bt (4 curves)	1	2- 3+ 5+ 83-	2- 3+ 5+  0  0 -2  2  4
Curve Equation t Generators 99600bt1 [0,-1,0,-5408,21312] 2 [82:350:1] 99600bt2 [0,-1,0,-55408,-4978688] 4 [1082:34650:1] 99600bt3 [0,-1,0,-25408,-10378688] 4 [1433542:46308150:1331] 99600bt4 [0,-1,0,-885408,-320378688] 2 [938178:18868850:729]
99600bu (4 curves)	1	2- 3+ 5+ 83-	2- 3+ 5+  0  0 -6 -6 -4
Curve Equation t Generators 99600bu1 [0,-1,0,-181408,29293312] 2 [432:5600:1] 99600bu2 [0,-1,0,-381408,-46706688] 4 [682:3150:1] 99600bu3 [0,-1,0,1278592,-345506688] 2 [198378:3458350:729] 99600bu4 [0,-1,0,-5241408,-4615106688] 2 [97882:30614850:1]
99600bv (4 curves)	1	2- 3+ 5+ 83-	2- 3+ 5+  0  4 -2  6  0
Curve Equation t Generators 99600bv1 [0,-1,0,-2651408,-729434688] 2 [223683334:9431359250:79507] 99600bv2 [0,-1,0,-35419408,-81076570688] 4 [-1044713256150054190696:-1553478181115253120000:300215225987070857] 99600bv3 [0,-1,0,-28507408,-113673562688] 2 [26804340248:12790609291200:117649] 99600bv4 [0,-1,0,-566619408,-5191220570688] 2 [-2547991787578965629168825983102924626:-8249455760068467128188394060237658:185406251488766307087134153729903]
99600bw (1 curve)	1	2- 3+ 5+ 83-	2- 3+ 5+ -1 -1  0 -1  4
Curve Equation t Generators 99600bw1 [0,-1,0,-53,-708] 1 [1420:648:125]
99600bx (2 curves)	1	2- 3+ 5+ 83-	2- 3+ 5+  2 -4  6  2 -8
Curve Equation t Generators 99600bx1 [0,-1,0,-22008,-1273488] 2 [285796:8103600:343] 99600bx2 [0,-1,0,-354008,-80953488] 2 [3332:189000:1]
99600by (1 curve)	1	2- 3+ 5+ 83-	2- 3+ 5+  3  1  4 -3 -6
Curve Equation t Generators 99600by1 [0,-1,0,832,-12288] 1 [26:162:1]
99600bz (1 curve)	1	2- 3+ 5+ 83-	2- 3+ 5+  3  1 -4  1  2
Curve Equation t Generators 99600bz1 [0,-1,0,-168,34992] 1 [-22:166:1]
99600ca (1 curve)	1	2- 3+ 5+ 83-	2- 3+ 5+  3 -2  1  0 -3
Curve Equation t Generators 99600ca1 [0,-1,0,-4448333,3612729537] 1 [1141:4618:1]
99600cb (1 curve)	1	2- 3+ 5+ 83-	2- 3+ 5+  3 -3  4  5 -2
Curve Equation t Generators 99600cb1 [0,-1,0,-840208,297478912] 1 [418:4374:1]
99600cc (1 curve)	1	2- 3+ 5+ 83-	2- 3+ 5+ -3  3  0 -3  2
Curve Equation t Generators 99600cc1 [0,-1,0,-833,-18588] 1 [394:1917:8]
99600cd (4 curves)	1	2- 3+ 5+ 83-	2- 3+ 5+  4 -4 -2 -2  0
Curve Equation t Generators 99600cd1 [0,-1,0,22592,-754688] 2 [122:1950:1] 99600cd2 [0,-1,0,-105408,-6386688] 4 [10974:113750:27] 99600cd3 [0,-1,0,-825408,284493312] 4 [-48:18000:1] 99600cd4 [0,-1,0,-1433408,-659762688] 2 [-190739510:144744894:274625]
99600ce (2 curves)	1	2- 3+ 5+ 83-	2- 3+ 5+ -4  2 -6 -4 -2
Curve Equation t Generators 99600ce1 [0,-1,0,-123892008,530604262512] 2 [2482:488250:1] 99600ce2 [0,-1,0,-144372008,343335142512] 2 [1072098:267051050:729]
99600cf (1 curve)	1	2- 3+ 5+ 83-	2- 3+ 5+ -5  5  4  1  6
Curve Equation t Generators 99600cf1 [0,-1,0,-185208,-34931088] 1 [626:9698:1]
99600cg (2 curves)	1	2- 3+ 5- 83+	2- 3+ 5-  0  6  2  2 -2
Curve Equation t Generators 99600cg1 [0,-1,0,-413,3372] 2 [964:1183:64] 99600cg2 [0,-1,0,-388,3772] 2 [-3:70:1]
99600ch (2 curves)	1	2- 3+ 5- 83+	2- 3+ 5-  0 -6  2  2  4
Curve Equation t Generators 99600ch1 [0,-1,0,-56651208,-164200259088] 2 [26489347318971611960036175732644:7190324430948156336665095140352000:355694767069329118691880157] 99600ch2 [0,-1,0,-906571208,-10506026819088] 2 [158728537989364625077950007769725121139581388270311346762:40004885838763582824801846359944486774617768319395663629514:2059904654086561757005331590107833104708986789645529]
99600ci (1 curve)	1	2- 3+ 5- 83+	2- 3+ 5-  1 -5 -4 -3  0
Curve Equation t Generators 99600ci1 [0,-1,0,67,312] 1 [8:36:1]
99600cj (2 curves)	1	2- 3+ 5- 83+	2- 3+ 5- -4 -2 -2  6 -4
Curve Equation t Generators 99600cj1 [0,-1,0,35792,16486912] 2 [42:4250:1] 99600cj2 [0,-1,0,-794208,258846912] 2 [706:7038:1]
99600ck (2 curves)	2	2- 3+ 5- 83-	2- 3+ 5-  1 -3 -4  3 -2
Curve Equation t Generators 99600ck1 [0,-1,0,1167,24912] 1 [186:2025:8]&[92:950:1] 99600ck2 [0,-1,0,-43833,3557412] 1 [-204:1992:1]&[128:166:1]
99600cl (2 curves)	2	2- 3+ 5- 83-	2- 3+ 5-  1 -3 -4 -3  4
Curve Equation t Generators 99600cl1 [0,-1,0,-211208,-37513488] 1 [532:640:1]&[602:7290:1] 99600cl2 [0,-1,0,598792,-200550288] 1 [264068:9179136:343]&[1898:88146:1]
99600cm (1 curve)	0	2- 3+ 5- 83-	2- 3+ 5- -2  6 -1 -4 -4
Curve Equation t 99600cm1 [0,-1,0,-40208,4158912] 1
99600cn (1 curve)	2	2- 3+ 5- 83-	2- 3+ 5- -3 -3  0 -3  8
Curve Equation t Generators 99600cn1 [0,-1,0,-5208,348912] 1 [-84:432:1]&[42:-450:1]
99600co (1 curve)	0	2- 3+ 5- 83-	2- 3+ 5- -5 -3 -4  5 -4
Curve Equation t 99600co1 [0,-1,0,-9333,-344088] 1
99600cp (4 curves)	1	2- 3- 5+ 83+	2- 3- 5+  0  0  6 -6 -4
Curve Equation t Generators 99600cp1 [0,1,0,42256592,33522255188] 2 [8828:1046250:1] 99600cp2 [0,1,0,-178191408,274692367188] 4 [-12852:664950:1] 99600cp3 [0,1,0,-1630359408,-25135343296812] 2 [-53406756:-800642766:2197] 99600cp4 [0,1,0,-2253191408,41123142367188] 4 [439393988:-249982451550:1331]
99600cq (2 curves)	1	2- 3- 5+ 83+	2- 3- 5+  0 -6 -6  0  2
Curve Equation t Generators 99600cq1 [0,1,0,-87408,-9184812] 2 [4748:326550:1] 99600cq2 [0,1,0,-1367408,-615904812] 2 [42726:929600:27]
99600cr (2 curves)	1	2- 3- 5+ 83+	2- 3- 5+ -1 -3  4  3  4
Curve Equation t Generators 99600cr1 [0,1,0,-5280208,-4699746412] 1 [8354:730944:1] 99600cr2 [0,1,0,14969792,-25038846412] 1 [192870706:18701193216:24389]
99600cs (2 curves)	1	2- 3- 5+ 83+	2- 3- 5+ -1 -3  4 -3 -2
Curve Equation t Generators 99600cs1 [0,1,0,47,218] 1 [2:18:1] 99600cs2 [0,1,0,-1753,27758] 1 [22:18:1]
99600ct (2 curves)	1	2- 3- 5+ 83+	2- 3- 5+  2  0 -2 -2 -4
Curve Equation t Generators 99600ct1 [0,1,0,-12008,2279988] 2 [4:1494:1] 99600ct2 [0,1,0,-344008,77311988] 2 [278:1800:1]
99600cu (2 curves)	1	2- 3- 5+ 83+	2- 3- 5+  2  3  4  0  7
Curve Equation t Generators 99600cu1 [0,1,0,-308,-5112] 1 [6695:45912:125] 99600cu2 [0,1,0,2692,114888] 1 [458173435665:6399115711464:12406605875]
99600cv (1 curve)	1	2- 3- 5+ 83+	2- 3- 5+  2  6  1  4 -4
Curve Equation t Generators 99600cv1 [0,1,0,-1608,32628] 1 [-1302:512:27]
99600cw (1 curve)	1	2- 3- 5+ 83+	2- 3- 5+ -2  3  0  8 -3
Curve Equation t Generators 99600cw1 [0,1,0,4092,1103688] 1 [87:1458:1]
99600cx (1 curve)	1	2- 3- 5+ 83+	2- 3- 5+  3 -3  0  3  8
Curve Equation t Generators 99600cx1 [0,1,0,-208,2708] 1 [2:-48:1]
99600cy (2 curves)	1	2- 3- 5+ 83+	2- 3- 5+  4  0  0  2  0
Curve Equation t Generators 99600cy1 [0,1,0,-1808,26388] 2 [108:1050:1] 99600cy2 [0,1,0,2192,130388] 2 [2676:31150:27]
99600cz (1 curve)	1	2- 3- 5+ 83+	2- 3- 5+  5 -3  4 -5 -4
Curve Equation t Generators 99600cz1 [0,1,0,-373,-2902] 1 [254:4044:1]
99600da (1 curve)	0	2- 3- 5+ 83-	2- 3- 5+ -1 -5  4  3  0
Curve Equation t 99600da1 [0,1,0,1667,42338] 1
99600db (1 curve)	0	2- 3- 5+ 83-	2- 3- 5+ -4 -3  6  4  3
Curve Equation t 99600db1 [0,1,0,-3408,-232812] 1
99600dc (2 curves)	0	2- 3- 5+ 83-	2- 3- 5+ -4  4  4  6  0
Curve Equation t 99600dc1 [0,1,0,-1406008,-628612012] 2 99600dc2 [0,1,0,193992,-1975812012] 2
99600dd (1 curve)	0	2- 3- 5- 83+	2- 3- 5-  1 -1  0  1  4
Curve Equation t 99600dd1 [0,1,0,-1333,-91162] 1
99600de (1 curve)	0	2- 3- 5- 83+	2- 3- 5-  3  3  0  3  2
Curve Equation t 99600de1 [0,1,0,-33,-162] 1
99600df (1 curve)	0	2- 3- 5- 83+	2- 3- 5- -3  1  4 -1  2
Curve Equation t 99600df1 [0,1,0,-4208,4365588] 1
99600dg (1 curve)	2	2- 3- 5- 83+	2- 3- 5- -3  1 -4  3 -6
Curve Equation t Generators 99600dg1 [0,1,0,20792,-1494412] 1 [62:192:1]&[158:-2400:1]
99600dh (1 curve)	2	2- 3- 5- 83+	2- 3- 5- -3 -2 -1  0 -3
Curve Equation t Generators 99600dh1 [0,1,0,-177933,28830663] 1 [-3606:-33615:8]&[-21:5706:1]
99600di (1 curve)	2	2- 3- 5- 83+	2- 3- 5- -3 -3 -4 -5 -2
Curve Equation t Generators 99600di1 [0,1,0,-33608,2366388] 1 [94:216:1]&[-122:2160:1]
99600dj (1 curve)	0	2- 3- 5- 83+	2- 3- 5-  5  5 -4 -1  6
Curve Equation t 99600dj1 [0,1,0,-7408,-282412] 1
99600dk (2 curves)	1	2- 3- 5- 83-	2- 3- 5-  0  6 -2 -2 -2
Curve Equation t Generators 99600dk1 [0,1,0,-10333,400838] 2 [570911792:-3769731627:5451776] 99600dk2 [0,1,0,-9708,452088] 2 [181128:3295017:512]
99600dl (2 curves)	1	2- 3- 5- 83-	2- 3- 5-  0 -6 -2 -2  4
Curve Equation t Generators 99600dl1 [0,1,0,-2266048,-1314508492] 2 [3428:176670:1] 99600dl2 [0,1,0,-36262848,-84062719692] 2 [16370484:-535889034:2197]
99600dm (1 curve)	1	2- 3- 5- 83-	2- 3- 5-  1  1  4 -3  0
Curve Equation t Generators 99600dm1 [0,1,0,-6208,-1278412] 1 [458:9600:1]
99600dn (1 curve)	1	2- 3- 5- 83-	2- 3- 5-  3  5 -4 -3  0
Curve Equation t Generators 99600dn1 [0,1,0,-8210333,9052280838] 1 [1654:6:1]
99600do (2 curves)	1	2- 3- 5- 83-	2- 3- 5-  4 -2  2 -6 -4
Curve Equation t Generators 99600do1 [0,1,0,1432,132468] 2 [-2:360:1] 99600do2 [0,1,0,-31768,2058068] 2 [-52:1890:1]

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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