Cremona's table of elliptic curves

85008 = 2⁴ · 3 · 7 · 11 · 23

Class	r	Atkin-Lehner	Eigenvalues
85008a (2 curves)	1	2+ 3+ 7+ 11+ 23+	2+ 3+  0 7+ 11+  0 -6  0
Curve Equation t Generators 85008a1 [0,-1,0,-8503,250954] 2 [804:24451:64] 85008a2 [0,-1,0,17012,1445056] 2 [1060:34776:1]
85008b (1 curve)	1	2+ 3+ 7+ 11+ 23+	2+ 3+ -3 7+ 11+  3  0  7
Curve Equation t Generators 85008b1 [0,-1,0,-672,-6489] 1 [275:4531:1]
85008c (1 curve)	0	2+ 3+ 7+ 11+ 23-	2+ 3+  1 7+ 11+ -5  4 -5
Curve Equation t 85008c1 [0,-1,0,2060,28963] 1
85008d (1 curve)	0	2+ 3+ 7+ 11- 23+	2+ 3+ -1 7+ 11-  5  4 -4
Curve Equation t 85008d1 [0,-1,0,11771304,-9392748528] 1
85008e (4 curves)	0	2+ 3+ 7+ 11- 23+	2+ 3+  2 7+ 11-  2 -2 -4
Curve Equation t 85008e1 [0,-1,0,-407,1818] 2 85008e2 [0,-1,0,-3052,-62720] 4 85008e3 [0,-1,0,168,-191520] 2 85008e4 [0,-1,0,-48592,-4106672] 2
85008f (1 curve)	1	2+ 3+ 7+ 11- 23-	2+ 3+ -1 7+ 11- -2  6  2
Curve Equation t Generators 85008f1 [0,-1,0,-441,3717] 1 [12:3:1]
85008g (1 curve)	1	2+ 3+ 7+ 11- 23-	2+ 3+ -1 7+ 11-  3  6 -3
Curve Equation t Generators 85008g1 [0,-1,0,-3517316,-3996866541] 1 [399255:16461951:125]
85008h (4 curves)	1	2+ 3+ 7+ 11- 23-	2+ 3+  2 7+ 11-  2 -6  4
Curve Equation t Generators 85008h1 [0,-1,0,-1407,16758] 2 [20670:258552:125] 85008h2 [0,-1,0,-21252,1199520] 4 [-91:1540:1] 85008h3 [0,-1,0,-19992,1346688] 4 [-144:1104:1] 85008h4 [0,-1,0,-340032,76431600] 2 [737:15020:1]
85008i (4 curves)	1	2+ 3+ 7+ 11- 23-	2+ 3+  2 7+ 11- -2  2 -8
Curve Equation t Generators 85008i1 [0,-1,0,-1772,-28128] 2 [76:520:1] 85008i2 [0,-1,0,-1792,-27440] 4 [-26:30:1] 85008i3 [0,-1,0,968,-106928] 2 [66:490:1] 85008i4 [0,-1,0,-4872,95760] 2 [80:460:1]
85008j (1 curve)	1	2+ 3+ 7- 11- 23+	2+ 3+ -1 7- 11- -5  0 -2
Curve Equation t Generators 85008j1 [0,-1,0,-96,672] 1 [2:-22:1]
85008k (1 curve)	1	2+ 3+ 7- 11- 23+	2+ 3+  4 7- 11- -3 -3 -7
Curve Equation t Generators 85008k1 [0,-1,0,1224,7008] 1 [22:210:1]
85008l (1 curve)	1	2+ 3+ 7- 11- 23+	2+ 3+  4 7- 11- -5  5 -7
Curve Equation t Generators 85008l1 [0,-1,0,-59025296,-174716967312] 1 [521323326:169360465470:4913]
85008m (2 curves)	1	2+ 3+ 7- 11- 23+	2+ 3+ -4 7- 11-  0  6  0
Curve Equation t Generators 85008m1 [0,-1,0,-21129295,-35396969594] 2 [558496642:32074411572:79507] 85008m2 [0,-1,0,15930140,-146352917984] 2 [24616:3893736:1]
85008n (2 curves)	0	2+ 3+ 7- 11- 23-	2+ 3+  0 7- 11-  0 -2  4
Curve Equation t 85008n1 [0,-1,0,-148,-4640] 2 85008n2 [0,-1,0,-5208,-142272] 2
85008o (1 curve)	0	2+ 3+ 7- 11- 23-	2+ 3+  1 7- 11-  1  8  5
Curve Equation t 85008o1 [0,-1,0,1410520,-1104974877] 1
85008p (1 curve)	1	2+ 3- 7+ 11- 23+	2+ 3-  0 7+ 11- -3 -1  7
Curve Equation t Generators 85008p1 [0,1,0,-1328,21252] 1 [16:-66:1]
85008q (4 curves)	1	2+ 3- 7+ 11- 23+	2+ 3- -2 7+ 11- -6 -2 -4
Curve Equation t Generators 85008q1 [0,1,0,121,0] 2 [48:404:27] 85008q2 [0,1,0,-484,-484] 4 [26:72:1] 85008q3 [0,1,0,-5104,138116] 2 [362:345:8] 85008q4 [0,1,0,-5544,-160380] 2 [-42:12:1]
85008r (1 curve)	0	2+ 3- 7+ 11- 23-	2+ 3-  3 7+ 11-  5  4 -6
Curve Equation t 85008r1 [0,1,0,-2481704,-1506247212] 1
85008s (4 curves)	1	2+ 3- 7- 11+ 23+	2+ 3-  2 7- 11+ -2  6 -4
Curve Equation t Generators 85008s1 [0,1,0,188,380] 2 [21:620:27] 85008s2 [0,1,0,-792,2340] 4 [-24:90:1] 85008s3 [0,1,0,-7232,-237228] 2 [7644:122210:27] 85008s4 [0,1,0,-10032,383028] 2 [284:4530:1]
85008t (6 curves)	2	2+ 3- 7- 11+ 23-	2+ 3- -2 7- 11+ -2 -6 -4
Curve Equation t Generators 85008t1 [0,1,0,-4719,-140880] 2 [12880:86376:125]&[432240:3952936:3375] 85008t2 [0,1,0,-77924,-8398404] 4 [414:5520:1]&[514:9360:1] 85008t3 [0,1,0,-80344,-7851484] 8 [-202:420:1]&[-184:858:1] 85008t4 [0,1,0,-1246784,-536255580] 2 [2955:146940:1]&[110820:-3199755:64] 85008t5 [0,1,0,113696,-39751660] 4 [260:2730:1]&[404:8502:1] 85008t6 [0,1,0,-313104,59090292] 4 [-618:4116:1]&[-597:5796:1]
85008u (4 curves)	0	2+ 3- 7- 11+ 23-	2+ 3- -2 7- 11+  6  6  4
Curve Equation t 85008u1 [0,1,0,-1559,8172] 2 85008u2 [0,1,0,-13564,-606484] 4 85008u3 [0,1,0,-2784,-1533564] 4 85008u4 [0,1,0,-216424,-38825308] 2
85008v (2 curves)	0	2+ 3- 7- 11- 23+	2+ 3-  0 7- 11- -4  6  8
Curve Equation t 85008v1 [0,1,0,-63,0] 2 85008v2 [0,1,0,252,252] 2
85008w (4 curves)	2	2+ 3- 7- 11- 23+	2+ 3- -2 7- 11- -6 -2  0
Curve Equation t Generators 85008w1 [0,1,0,1836,19260] 2 [-1:132:1]&[54:528:1] 85008w2 [0,1,0,-8744,158916] 4 [151:-1518:1]&[-80:594:1] 85008w3 [0,1,0,-66704,-6541260] 2 [-140:270:1]&[319:2178:1] 85008w4 [0,1,0,-120064,15966356] 4 [-364:3402:1]&[-322:4620:1]
85008x (1 curve)	1	2+ 3- 7- 11- 23-	2+ 3-  0 7- 11-  1  7  5
Curve Equation t Generators 85008x1 [0,1,0,-1288,572516] 1 [224:3402:1]
85008y (2 curves)	1	2+ 3- 7- 11- 23-	2+ 3-  0 7- 11-  4 -2 -4
Curve Equation t Generators 85008y1 [0,1,0,692,-8020] 2 [26:168:1] 85008y2 [0,1,0,-4368,-82908] 2 [126:-1176:1]
85008z (1 curve)	1	2+ 3- 7- 11- 23-	2+ 3- -3 7- 11-  1 -2 -1
Curve Equation t Generators 85008z1 [0,1,0,-19152,-1067661] 1 [189:1449:1]
85008ba (1 curve)	0	2- 3+ 7+ 11+ 23+	2- 3+ -1 7+ 11+  5 -4  0
Curve Equation t 85008ba1 [0,-1,0,-1014216,-392801808] 1
85008bb (4 curves)	0	2- 3+ 7+ 11+ 23+	2- 3+  2 7+ 11+  2  2  0
Curve Equation t 85008bb1 [0,-1,0,-2112,-33792] 2 85008bb2 [0,-1,0,-7232,199680] 4 85008bb3 [0,-1,0,13888,1128960] 2 85008bb4 [0,-1,0,-110272,14130688] 2
85008bc (2 curves)	0	2- 3+ 7+ 11+ 23+	2- 3+  2 7+ 11+ -4 -4 -6
Curve Equation t 85008bc1 [0,-1,0,22389208,-76981909392] 2 85008bc2 [0,-1,0,-193126312,-869734198160] 2
85008bd (1 curve)	0	2- 3+ 7+ 11+ 23+	2- 3+ -4 7+ 11+ -1 -1  3
Curve Equation t 85008bd1 [0,-1,0,1640,-41744] 1
85008be (4 curves)	1	2- 3+ 7+ 11+ 23-	2- 3+  0 7+ 11+ -4 -6  4
Curve Equation t Generators 85008be1 [0,-1,0,586952,706152304] 2 [60:27232:1] 85008be2 [0,-1,0,-9209208,9985075056] 2 [2722:71262:1] 85008be3 [0,-1,0,-45673768,118905271408] 2 [3834:-11638:1] 85008be4 [0,-1,0,-730919208,7606171047024] 2 [-12174:3834054:1]
85008bf (2 curves)	1	2- 3+ 7+ 11+ 23-	2- 3+ -4 7+ 11+  0 -2  0
Curve Equation t Generators 85008bf1 [0,-1,0,61760,-2008064] 2 [160:-3456:1] 85008bf2 [0,-1,0,-262080,-16257024] 2 [-406:4802:1]
85008bg (4 curves)	1	2- 3+ 7+ 11- 23+	2- 3+  0 7+ 11-  2 -6  4
Curve Equation t Generators 85008bg1 [0,-1,0,-45053,-3664572] 2 [-98747497368:-1062757619:820025856] 85008bg2 [0,-1,0,-51668,-2510916] 2 [-86175:1013012:729] 85008bg3 [0,-1,0,-127853,13018800] 2 [1328:46728:1] 85008bg4 [0,-1,0,-1892588,1002682188] 2 [21099:15092:27]
85008bh (2 curves)	1	2- 3+ 7+ 11- 23+	2- 3+  3 7+ 11- -1  0 -2
Curve Equation t Generators 85008bh1 [0,-1,0,-37224,-2755728] 1 [1398098:33381106:2197] 85008bh2 [0,-1,0,56616,-13309968] 1 [194:2222:1]
85008bi (2 curves)	0	2- 3+ 7+ 11- 23-	2- 3+  0 7+ 11- -1 -3 -5
Curve Equation t 85008bi1 [0,-1,0,-6021819088,179869798476736] 1 85008bi2 [0,-1,0,-487771630288,131121363921578944] 1
85008bj (2 curves)	0	2- 3+ 7+ 11- 23-	2- 3+  0 7+ 11-  5 -3 -5
Curve Equation t 85008bj1 [0,-1,0,-134408,-18921744] 1 85008bj2 [0,-1,0,-92408,-30988176] 1
85008bk (2 curves)	0	2- 3+ 7+ 11- 23-	2- 3+  0 7+ 11-  6  4  2
Curve Equation t 85008bk1 [0,-1,0,-62048,-5935104] 2 85008bk2 [0,-1,0,-993088,-380585600] 2
85008bl (1 curve)	0	2- 3+ 7+ 11- 23-	2- 3+ -2 7+ 11-  1 -7  7
Curve Equation t 85008bl1 [0,-1,0,-18404,-954900] 1
85008bm (6 curves)	0	2- 3+ 7+ 11- 23-	2- 3+ -2 7+ 11- -2  2  4
Curve Equation t 85008bm1 [0,-1,0,1667456,-106975232] 2 85008bm2 [0,-1,0,-6730624,-852724736] 4 85008bm3 [0,-1,0,-68964544,219455352064] 8 85008bm4 [0,-1,0,-78865984,-269023139072] 2 85008bm5 [0,-1,0,-31638304,456043991680] 4 85008bm6 [0,-1,0,-1102033504,14081587884928] 8
85008bn (2 curves)	0	2- 3+ 7+ 11- 23-	2- 3+ -2 7+ 11- -6  0  0
Curve Equation t 85008bn1 [0,-1,0,-1563599969,23820469931424] 2 85008bn2 [0,-1,0,-25024070204,1523657716243068] 2
85008bo (1 curve)	0	2- 3+ 7+ 11- 23-	2- 3+  3 7+ 11-  1  8  7
Curve Equation t 85008bo1 [0,-1,0,-239734,46029547] 1
85008bp (1 curve)	0	2- 3+ 7+ 11- 23-	2- 3+  3 7+ 11-  6 -2  2
Curve Equation t 85008bp1 [0,-1,0,-34749,-8916399] 1
85008bq (1 curve)	1	2- 3+ 7- 11+ 23+	2- 3+ -1 7- 11+  3  0 -3
Curve Equation t Generators 85008bq1 [0,-1,0,5294,2396779] 1 [-87:1127:1]
85008br (1 curve)	1	2- 3+ 7- 11+ 23+	2- 3+ -1 7- 11+  3  0  6
Curve Equation t Generators 85008br1 [0,-1,0,-1856,-304128] 1 [864:25344:1]
85008bs (1 curve)	1	2- 3+ 7- 11+ 23+	2- 3+ -1 7- 11+  6 -2 -2
Curve Equation t Generators 85008bs1 [0,-1,0,5819,12397] 1 [4:189:1]
85008bt (1 curve)	0	2- 3+ 7- 11+ 23-	2- 3+  2 7- 11+  7 -5 -3
Curve Equation t 85008bt1 [0,-1,0,-141652,35993548] 1
85008bu (1 curve)	0	2- 3+ 7- 11+ 23-	2- 3+  3 7- 11+ -1  0 -3
Curve Equation t 85008bu1 [0,-1,0,6,-69] 1
85008bv (1 curve)	0	2- 3+ 7- 11- 23+	2- 3+  0 7- 11- -1 -3  1
Curve Equation t 85008bv1 [0,-1,0,-20044648,34605395056] 1
85008bw (2 curves)	1	2- 3+ 7- 11- 23-	2- 3+  2 7- 11-  4 -2  4
Curve Equation t Generators 85008bw1 [0,-1,0,-77,-228] 2 [188:2568:1] 85008bw2 [0,-1,0,28,-900] 2 [96200:1315565:512]
85008bx (2 curves)	1	2- 3- 7+ 11+ 23+	2- 3- -2 7+ 11+  2  4  8
Curve Equation t Generators 85008bx1 [0,1,0,16151,-229054] 2 [122:1890:1] 85008bx2 [0,1,0,-67684,-1939288] 2 [2218:6615:8]
85008by (2 curves)	0	2- 3- 7+ 11+ 23-	2- 3-  0 7+ 11+ -4  6  0
Curve Equation t 85008by1 [0,1,0,-1328,-20076] 2 85008by2 [0,1,0,-21568,-1226380] 2
85008bz (1 curve)	0	2- 3- 7+ 11+ 23-	2- 3-  3 7+ 11+ -3  4 -6
Curve Equation t 85008bz1 [0,1,0,9462936,-21165558732] 1
85008ca (2 curves)	2	2- 3- 7+ 11+ 23-	2- 3- -4 7+ 11+ -4 -2 -8
Curve Equation t Generators 85008ca1 [0,1,0,-1160,23604] 2 [-26:192:1]&[-20:198:1] 85008ca2 [0,1,0,-21400,1197524] 2 [62:336:1]&[-106:1512:1]
85008cb (1 curve)	0	2- 3- 7+ 11- 23+	2- 3-  4 7+ 11- -1  7 -1
Curve Equation t 85008cb1 [0,1,0,-20256,5193972] 1
85008cc (2 curves)	1	2- 3- 7+ 11- 23-	2- 3-  0 7+ 11-  2 -2 -4
Curve Equation t Generators 85008cc1 [0,1,0,-133,-430] 2 [422:8676:1] 85008cc2 [0,1,0,-868,9272] 2 [-262:483:8]
85008cd (2 curves)	1	2- 3- 7+ 11- 23-	2- 3- -2 7+ 11- -6 -8  0
Curve Equation t Generators 85008cd1 [0,1,0,111,846] 2 [6:42:1] 85008cd2 [0,1,0,-924,8712] 2 [-33:66:1]
85008ce (1 curve)	1	2- 3- 7+ 11- 23-	2- 3-  3 7+ 11- -1 -8 -4
Curve Equation t Generators 85008ce1 [0,1,0,-824,-2814252] 1 [316:-5346:1]
85008cf (1 curve)	0	2- 3- 7- 11+ 23+	2- 3-  0 7- 11+ -1  5  5
Curve Equation t 85008cf1 [0,1,0,-208,1172] 1
85008cg (4 curves)	2	2- 3- 7- 11+ 23+	2- 3- -2 7- 11+ -6  2 -4
Curve Equation t Generators 85008cg1 [0,1,0,-16024,-786028] 2 [-73:6:1]&[151:510:1] 85008cg2 [0,1,0,-17304,-654444] 4 [-105:126:1]&[-84:462:1] 85008cg3 [0,1,0,43176,-4162284] 2 [87:510:1]&[204:3630:1] 85008cg4 [0,1,0,-98264,11295252] 4 [-356:1134:1]&[-314:3360:1]
85008ch (1 curve)	0	2- 3- 7- 11+ 23+	2- 3- -3 7- 11+  2  6 -2
Curve Equation t 85008ch1 [0,1,0,-2597,1439571] 1
85008ci (1 curve)	1	2- 3- 7- 11+ 23-	2- 3-  1 7- 11+ -2  6 -6
Curve Equation t Generators 85008ci1 [0,1,0,275,7367] 1 [-13:42:1]
85008cj (1 curve)	1	2- 3- 7- 11+ 23-	2- 3- -1 7- 11+  1  4  6
Curve Equation t Generators 85008cj1 [0,1,0,5424,19476] 1 [138:1848:1]
85008ck (4 curves)	1	2- 3- 7- 11+ 23-	2- 3-  2 7- 11+ -2 -2  0
Curve Equation t Generators 85008ck1 [0,1,0,239008,-625155468] 2 [60868:1377585:64] 85008ck2 [0,1,0,-9673312,-11207548300] 4 [4271:159390:1] 85008ck3 [0,1,0,-24569952,31617312372] 4 [-3516:273042:1] 85008ck4 [0,1,0,-153373792,-731146953100] 2 [45743:9379170:1]
85008cl (1 curve)	0	2- 3- 7- 11- 23-	2- 3-  2 7- 11- -3 -5  5
Curve Equation t 85008cl1 [0,1,0,28,168] 1

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