Cremona's table of elliptic curves

88400 = 2⁴ · 5² · 13 · 17

Class	r	Atkin-Lehner	Eigenvalues
88400a (4 curves)	1	2+ 5+ 13+ 17+	2+  0 5+  0 -4 13+ 17+ -4
Curve Equation t Generators 88400a1 [0,0,0,-1850,-30625] 2 [6500:58275:64] 88400a2 [0,0,0,-1975,-26250] 4 [-31:72:1] 88400a3 [0,0,0,4525,-162750] 2 [402:3501:8] 88400a4 [0,0,0,-10475,390250] 2 [-99:676:1]
88400b (2 curves)	1	2+ 5+ 13+ 17+	2+  0 5+ -2  0 13+ 17+ -2
Curve Equation t Generators 88400b1 [0,0,0,-9175,-338250] 2 [114:312:1] 88400b2 [0,0,0,-8675,-376750] 2 [235:3250:1]
88400c (2 curves)	1	2+ 5+ 13+ 17+	2+  2 5+ -4 -2 13+ 17+  2
Curve Equation t Generators 88400c1 [0,-1,0,-156508,-23779488] 2 [626421621:-36165671000:185193] 88400c2 [0,-1,0,-156008,-23939488] 2 [3381658:29694750:6859]
88400d (2 curves)	0	2+ 5+ 13+ 17-	2+  0 5+  4  2 13+ 17-  4
Curve Equation t 88400d1 [0,0,0,-2675,13250] 2 88400d2 [0,0,0,10325,104250] 2
88400e (1 curve)	0	2+ 5+ 13+ 17-	2+  1 5+  4  0 13+ 17-  8
Curve Equation t 88400e1 [0,1,0,-73,-77] 1
88400f (2 curves)	0	2+ 5+ 13+ 17-	2+  2 5+  2 -4 13+ 17- -4
Curve Equation t 88400f1 [0,-1,0,-4408,-98688] 2 88400f2 [0,-1,0,-17408,785312] 2
88400g (1 curve)	0	2+ 5+ 13+ 17-	2+ -3 5+ -2  2 13+ 17- -2
Curve Equation t 88400g1 [0,0,0,-527500,-147462500] 1
88400h (2 curves)	0	2+ 5+ 13- 17+	2+  0 5+  2  2 13- 17+ -4
Curve Equation t 88400h1 [0,0,0,-575,-1250] 2 88400h2 [0,0,0,-7075,-228750] 2
88400i (2 curves)	0	2+ 5+ 13- 17+	2+  0 5+ -2 -6 13- 17+  8
Curve Equation t 88400i1 [0,0,0,-250,375] 2 88400i2 [0,0,0,-2375,-44250] 2
88400j (1 curve)	0	2+ 5+ 13- 17+	2+ -1 5+ -2 -2 13- 17+  0
Curve Equation t 88400j1 [0,-1,0,-35833,742037] 1
88400k (2 curves)	0	2+ 5+ 13- 17+	2+  2 5+ -2 -2 13- 17+  0
Curve Equation t 88400k1 [0,-1,0,-82908,-9006688] 2 88400k2 [0,-1,0,1592,-26582688] 2
88400l (2 curves)	0	2+ 5+ 13- 17+	2+ -2 5+  2  2 13- 17+  8
Curve Equation t 88400l1 [0,1,0,-35308,2273388] 2 88400l2 [0,1,0,49192,11568388] 2
88400m (1 curve)	1	2+ 5+ 13- 17-	2+  2 5+ -2  5 13- 17-  0
Curve Equation t Generators 88400m1 [0,-1,0,-208,-101088] 1 [10092:194516:27]
88400n (2 curves)	1	2+ 5+ 13- 17-	2+ -2 5+  2 -4 13- 17- -4
Curve Equation t Generators 88400n1 [0,1,0,-41808,-3299612] 2 [-118:68:1] 88400n2 [0,1,0,-54808,-1089612] 2 [-46:1156:1]
88400o (1 curve)	0	2+ 5- 13+ 17+	2+ -2 5-  2  5 13+ 17+  0
Curve Equation t 88400o1 [0,1,0,-8,-812] 1
88400p (1 curve)	1	2+ 5- 13+ 17-	2+  1 5-  2 -2 13+ 17-  0
Curve Equation t Generators 88400p1 [0,1,0,-1433,5363] 1 [38:85:1]
88400q (1 curve)	1	2+ 5- 13- 17+	2+ -1 5- -4  0 13- 17+  8
Curve Equation t Generators 88400q1 [0,-1,0,-1833,-5963] 1 [-12:119:1]
88400r (1 curve)	1	2+ 5- 13- 17+	2+  3 5-  2  2 13- 17+ -2
Curve Equation t Generators 88400r1 [0,0,0,-21100,-1179700] 1 [-23642940364338:137949800363:282042293112]
88400s (4 curves)	0	2- 5+ 13+ 17+	2-  0 5+ -4  0 13+ 17+  4
Curve Equation t 88400s1 [0,0,0,-632675,-191886750] 2 88400s2 [0,0,0,-1144675,162929250] 4 88400s3 [0,0,0,4263325,1260753250] 2 88400s4 [0,0,0,-14744675,21773329250] 2
88400t (2 curves)	0	2- 5+ 13+ 17+	2-  1 5+  2  0 13+ 17+ -2
Curve Equation t 88400t1 [0,1,0,-25533,-1304857] 1 88400t2 [0,1,0,-603533,180140903] 1
88400u (1 curve)	0	2- 5+ 13+ 17+	2- -1 5+ -2  4 13+ 17+  6
Curve Equation t 88400u1 [0,-1,0,-83333,-5162963] 1
88400v (1 curve)	0	2- 5+ 13+ 17+	2- -3 5+  2  0 13+ 17+ -2
Curve Equation t 88400v1 [0,0,0,-55000,-4962500] 1
88400w (2 curves)	1	2- 5+ 13+ 17-	2-  1 5+  2 -6 13+ 17- -2
Curve Equation t Generators 88400w1 [0,1,0,-1093,-13937] 1 [-21:14:1] 88400w2 [0,1,0,-11493,465503] 1 [-113:578:1]
88400x (1 curve)	1	2- 5+ 13+ 17-	2-  1 5+  4  0 13+ 17-  4
Curve Equation t Generators 88400x1 [0,1,0,-441613,-113103737] 1 [48673317:1769836918:29791]
88400y (1 curve)	1	2- 5+ 13+ 17-	2- -1 5+ -2 -2 13+ 17- -2
Curve Equation t Generators 88400y1 [0,-1,0,-13333,-52963] 1 [-4:17:1]
88400z (2 curves)	1	2- 5+ 13+ 17-	2-  2 5+ -2  4 13+ 17-  4
Curve Equation t Generators 88400z1 [0,-1,0,-891008,319680512] 2 [9696192:-357289984:35937] 88400z2 [0,-1,0,-14203008,20607168512] 2 [1088:80256:1]
88400ba (4 curves)	1	2- 5+ 13+ 17-	2- -2 5+  2  0 13+ 17-  4
Curve Equation t Generators 88400ba1 [0,1,0,-2217008,-1271300012] 2 [-101318574:9634064:117649] 88400ba2 [0,1,0,-2269008,-1208588012] 2 [-678:4312:1] 88400ba3 [0,1,0,-3367008,182799988] 2 [-1798:20672:1] 88400ba4 [0,1,0,-38519008,91788911988] 2 [-6902:170000:1]
88400bb (2 curves)	1	2- 5+ 13+ 17-	2- -2 5+  2 -3 13+ 17- -8
Curve Equation t Generators 88400bb1 [0,1,0,-328,-5772] 1 [94:896:1] 88400bb2 [0,1,0,2872,131188] 1 [-18:272:1]
88400bc (1 curve)	1	2- 5+ 13+ 17-	2- -2 5+ -2  3 13+ 17-  4
Curve Equation t Generators 88400bc1 [0,1,0,-4495208,-3802126412] 1 [2742:67048:1]
88400bd (2 curves)	1	2- 5+ 13+ 17-	2- -2 5+  4  0 13+ 17- -2
Curve Equation t Generators 88400bd1 [0,1,0,-1633,23238] 2 [-46:56:1] 88400bd2 [0,1,0,1492,104488] 2 [43:500:1]
88400be (4 curves)	1	2- 5+ 13+ 17-	2- -2 5+ -4  0 13+ 17- -2
Curve Equation t Generators 88400be1 [0,1,0,-311033,-66870062] 2 [3218483184:149003573125:1404928] 88400be2 [0,1,0,-307908,-68276312] 2 [4635336:440223875:512] 88400be3 [0,1,0,-402033,-24691562] 2 [-318:8432:1] 88400be4 [0,1,0,1551092,-192660312] 2 [5563:425000:1]
88400bf (2 curves)	1	2- 5+ 13- 17+	2-  0 5+  2  4 13- 17+  6
Curve Equation t Generators 88400bf1 [0,0,0,-7075,-102750] 2 [27940:572475:64] 88400bf2 [0,0,0,24925,-774750] 2 [1730:72250:1]
88400bg (2 curves)	1	2- 5+ 13- 17+	2-  0 5+ -2  2 13- 17+  0
Curve Equation t Generators 88400bg1 [0,0,0,-68675,4061250] 2 [-225:2850:1] 88400bg2 [0,0,0,-484675,-126978750] 2 [-11067:45334:27]
88400bh (2 curves)	1	2- 5+ 13- 17+	2-  0 5+ -2  4 13- 17+  2
Curve Equation t Generators 88400bh1 [0,0,0,-5755075,5314037250] 2 [-2711:31488:1] 88400bh2 [0,0,0,-5753075,5317915250] 2 [1390:2600:1]
88400bi (2 curves)	1	2- 5+ 13- 17+	2-  0 5+ -2 -6 13- 17+ -8
Curve Equation t Generators 88400bi1 [0,0,0,-293075,-60968750] 2 [-311:312:1] 88400bi2 [0,0,0,-4687075,-3905718750] 2 [2575:33150:1]
88400bj (2 curves)	1	2- 5+ 13- 17+	2-  2 5+  2 -2 13- 17+  4
Curve Equation t Generators 88400bj1 [0,-1,0,-21808,1202112] 2 [3819:26000:27] 88400bj2 [0,-1,0,10192,4402112] 2 [442:9750:1]
88400bk (2 curves)	1	2- 5+ 13- 17+	2-  2 5+  2  6 13- 17+ -4
Curve Equation t Generators 88400bk1 [0,-1,0,-23808,-1405888] 2 [352236:-2545075:1728] 88400bk2 [0,-1,0,-21808,-1653888] 2 [2586:39975:8]
88400bl (2 curves)	1	2- 5+ 13- 17+	2- -2 5+  0 -2 13- 17+  2
Curve Equation t Generators 88400bl1 [0,1,0,-122408,-9492812] 2 [-172:2550:1] 88400bl2 [0,1,0,389592,-67860812] 2 [748:25350:1]
88400bm (1 curve)	1	2- 5+ 13- 17+	2-  3 5+  2 -2 13- 17+  0
Curve Equation t Generators 88400bm1 [0,0,0,-205000,35637500] 1 [1362:136142:27]
88400bn (1 curve)	1	2- 5+ 13- 17+	2- -3 5+ -2 -2 13- 17+ -4
Curve Equation t Generators 88400bn1 [0,0,0,-3760,87280] 1 [1:289:1]
88400bo (2 curves)	0	2- 5+ 13- 17-	2-  0 5+  0  6 13- 17-  0
Curve Equation t 88400bo1 [0,0,0,-74675,6683250] 2 88400bo2 [0,0,0,133325,37259250] 2
88400bp (2 curves)	0	2- 5+ 13- 17-	2-  0 5+  4  2 13- 17-  0
Curve Equation t 88400bp1 [0,0,0,-37475,-2702750] 2 88400bp2 [0,0,0,14525,-9618750] 2
88400bq (1 curve)	0	2- 5+ 13- 17-	2-  1 5+  4  0 13- 17-  2
Curve Equation t 88400bq1 [0,1,0,-293,-2017] 1
88400br (2 curves)	0	2- 5+ 13- 17-	2-  2 5+  2 -4 13- 17-  4
Curve Equation t 88400br1 [0,-1,0,-3608,73712] 2 88400br2 [0,-1,0,-55608,5065712] 2
88400bs (2 curves)	0	2- 5+ 13- 17-	2-  2 5+ -4  2 13- 17-  4
Curve Equation t 88400bs1 [0,-1,0,-57980408,-60624972688] 2 88400bs2 [0,-1,0,-750204408,-7902138444688] 2
88400bt (2 curves)	0	2- 5+ 13- 17-	2- -2 5+ -2  0 13- 17- -4
Curve Equation t 88400bt1 [0,1,0,-144008,-13088012] 2 88400bt2 [0,1,0,-976008,361311988] 2
88400bu (1 curve)	0	2- 5+ 13- 17-	2-  3 5+  0  0 13- 17-  6
Curve Equation t 88400bu1 [0,0,0,-640,-6160] 1
88400bv (1 curve)	1	2- 5- 13+ 17+	2- -1 5- -4  0 13+ 17+  2
Curve Equation t Generators 88400bv1 [0,-1,0,-7333,-237463] 1 [-47:34:1]
88400bw (1 curve)	1	2- 5- 13+ 17+	2- -3 5-  0  0 13+ 17+  6
Curve Equation t Generators 88400bw1 [0,0,0,-16000,-770000] 1 [-79:31:1]
88400bx (1 curve)	0	2- 5- 13+ 17-	2-  3 5-  2 -2 13+ 17- -4
Curve Equation t 88400bx1 [0,0,0,-94000,10910000] 1
88400by (1 curve)	2	2- 5- 13+ 17-	2- -3 5- -2 -2 13+ 17-  0
Curve Equation t Generators 88400by1 [0,0,0,-8200,285100] 1 [45:85:1]&[-30:710:1]
88400bz (1 curve)	0	2- 5- 13- 17+	2-  1 5-  2 -2 13- 17+ -2
Curve Equation t 88400bz1 [0,1,0,-533,-637] 1
88400ca (2 curves)	2	2- 5- 13- 17+	2- -1 5- -2 -6 13- 17+ -2
Curve Equation t Generators 88400ca1 [0,-1,0,-27333,-1687463] 1 [517:-11050:1]&[-83:50:1] 88400ca2 [0,-1,0,-287333,58762537] 1 [593:-9826:1]&[281:362:1]
88400cb (1 curve)	0	2- 5- 13- 17+	2- -1 5- -4  0 13- 17+  4
Curve Equation t 88400cb1 [0,-1,0,-11040333,-14115886463] 1
88400cc (1 curve)	0	2- 5- 13- 17+	2-  2 5-  2  3 13- 17+  4
Curve Equation t 88400cc1 [0,-1,0,-179808,-30345088] 1
88400cd (2 curves)	0	2- 5- 13- 17+	2-  2 5- -2 -3 13- 17+ -8
Curve Equation t 88400cd1 [0,-1,0,-8208,-705088] 1 88400cd2 [0,-1,0,71792,16254912] 1
88400ce (1 curve)	1	2- 5- 13- 17-	2-  1 5-  2  4 13- 17-  6
Curve Equation t Generators 88400ce1 [0,1,0,-3333,-42637] 1 [118:1105:1]
88400cf (2 curves)	1	2- 5- 13- 17-	2- -1 5- -2  0 13- 17- -2
Curve Equation t Generators 88400cf1 [0,-1,0,-638333,-161830463] 1 [-408:-5525:1] 88400cf2 [0,-1,0,-15088333,22547789537] 1 [1768:-37349:1]
88400cg (1 curve)	1	2- 5- 13- 17-	2-  3 5- -2  0 13- 17- -2
Curve Equation t Generators 88400cg1 [0,0,0,-2200,-39700] 1 [-5754:289:216]

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