Cremona's table of elliptic curves

72800 = 2⁵ · 5² · 7 · 13

Class	r	Atkin-Lehner	Eigenvalues
72800a (4 curves)	1	2+ 5+ 7+ 13+	2+  0 5+ 7+  4 13+ -2 -4
Curve Equation t Generators 72800a1 [0,0,0,-1525,22500] 4 [0:150:1] 72800a2 [0,0,0,100,68000] 2 [130:2175:8] 72800a3 [0,0,0,-3275,-38750] 2 [-14:66:1] 72800a4 [0,0,0,-24275,1455750] 2 [738:303:8]
72800b (1 curve)	1	2+ 5+ 7+ 13+	2+  1 5+ 7+  0 13+  6  0
Curve Equation t Generators 72800b1 [0,1,0,-18333,917963] 1 [109:476:1]
72800c (1 curve)	1	2+ 5+ 7+ 13+	2+  1 5+ 7+ -3 13+  2  2
Curve Equation t Generators 72800c1 [0,1,0,-8,6488] 1 [38:250:1]
72800d (1 curve)	1	2+ 5+ 7+ 13+	2+  1 5+ 7+ -3 13+  3 -3
Curve Equation t Generators 72800d1 [0,1,0,-22608,-1315972] 1 [58327:14086618:1]
72800e (1 curve)	1	2+ 5+ 7+ 13+	2+ -1 5+ 7+  5 13+  0 -2
Curve Equation t Generators 72800e1 [0,-1,0,-2408,46312] 1 [17:100:1]
72800f (2 curves)	1	2+ 5+ 7+ 13+	2+  2 5+ 7+  0 13+  4 -2
Curve Equation t Generators 72800f1 [0,-1,0,-13658,-609688] 2 [8994:152000:27] 72800f2 [0,-1,0,-15408,-441688] 2 [61851441:1040300000:185193]
72800g (1 curve)	1	2+ 5+ 7+ 13+	2+  3 5+ 7+ -4 13+ -2  4
Curve Equation t Generators 72800g1 [0,0,0,-3175000,-834850000] 1 [-1002723815551746:27603249375863861:802801184184]
72800h (2 curves)	0	2+ 5+ 7+ 13-	2+  0 5+ 7+  6 13-  0  0
Curve Equation t 72800h1 [0,0,0,-425,-2000] 2 72800h2 [0,0,0,1325,-14250] 2
72800i (2 curves)	0	2+ 5+ 7+ 13-	2+ -2 5+ 7+ -4 13- -4  2
Curve Equation t 72800i1 [0,1,0,-6258,-138512] 2 72800i2 [0,1,0,-92008,-10771512] 2
72800j (1 curve)	0	2+ 5+ 7+ 13-	2+ -3 5+ 7+  3 13-  6  6
Curve Equation t 72800j1 [0,0,0,-15286675,23007834250] 1
72800k (1 curve)	0	2+ 5+ 7- 13+	2+  1 5+ 7- -5 13+  0  2
Curve Equation t 72800k1 [0,1,0,-2408,-46312] 1
72800l (1 curve)	0	2+ 5+ 7- 13+	2+ -1 5+ 7-  3 13+  2 -2
Curve Equation t 72800l1 [0,-1,0,-8,-6488] 1
72800m (2 curves)	0	2+ 5+ 7- 13+	2+  2 5+ 7-  0 13+  0  6
Curve Equation t 72800m1 [0,-1,0,-658,-5688] 2 72800m2 [0,-1,0,-2408,39812] 2
72800n (2 curves)	0	2+ 5+ 7- 13+	2+ -2 5+ 7-  4 13+  8  2
Curve Equation t 72800n1 [0,1,0,-15750658,-24040041312] 2 72800n2 [0,1,0,-19952408,-10207880312] 2
72800o (1 curve)	0	2+ 5+ 7- 13+	2+  3 5+ 7- -4 13+  6 -8
Curve Equation t 72800o1 [0,0,0,-11080,448880] 1
72800p (1 curve)	0	2+ 5+ 7- 13+	2+ -3 5+ 7-  4 13+ -2 -4
Curve Equation t 72800p1 [0,0,0,-3175000,834850000] 1
72800q (4 curves)	1	2+ 5+ 7- 13-	2+  0 5+ 7-  4 13-  2 -4
Curve Equation t Generators 72800q1 [0,0,0,-966325,365356500] 4 [139:15288:1] 72800q2 [0,0,0,-755075,529497750] 4 [9005:850850:1] 72800q3 [0,0,0,-1180700,191284000] 2 [-120:18200:1] 72800q4 [0,0,0,-15458075,23392747250] 2 [2414:12012:1]
72800r (2 curves)	1	2+ 5+ 7- 13-	2+  0 5+ 7- -6 13-  0  0
Curve Equation t Generators 72800r1 [0,0,0,-425,2000] 2 [-20:50:1] 72800r2 [0,0,0,1325,14250] 2 [-6:78:1]
72800s (1 curve)	1	2+ 5+ 7- 13-	2+  3 5+ 7- -3 13-  6 -6
Curve Equation t Generators 72800s1 [0,0,0,-15286675,-23007834250] 1 [128235:2898350:27]
72800t (2 curves)	0	2+ 5- 7+ 13+	2+  0 5- 7+ -2 13+  0  2
Curve Equation t 72800t1 [0,0,0,-4625,75000] 2 72800t2 [0,0,0,-65875,6506250] 2
72800u (2 curves)	0	2+ 5- 7+ 13+	2+  2 5- 7+ -2 13+ -2 -4
Curve Equation t 72800u1 [0,-1,0,-2458,-44088] 2 72800u2 [0,-1,0,-6833,161537] 2
72800v (2 curves)	0	2+ 5- 7+ 13+	2+ -2 5- 7+  2 13+ -2  8
Curve Equation t 72800v1 [0,1,0,-702458,224019088] 2 72800v2 [0,1,0,-11206833,14436438463] 2
72800w (2 curves)	0	2+ 5- 7+ 13+	2+ -2 5- 7+ -4 13+  0  0
Curve Equation t 72800w1 [0,1,0,-3498,-80192] 2 72800w2 [0,1,0,-1048,-187992] 2
72800x (1 curve)	1	2+ 5- 7+ 13-	2+  1 5- 7+  0 13- -6  0
Curve Equation t Generators 72800x1 [0,1,0,-733,-7637] 1 [-18:7:1]
72800y (1 curve)	1	2+ 5- 7+ 13-	2+  1 5- 7+  3 13- -3  3
Curve Equation t Generators 72800y1 [0,1,0,-565208,163366088] 1 [434:26:1]
72800z (2 curves)	1	2+ 5- 7+ 13-	2+  2 5- 7+  2 13-  2  4
Curve Equation t Generators 72800z1 [0,-1,0,-98,392] 2 [-2:24:1] 72800z2 [0,-1,0,-273,-1183] 2 [-159:368:27]
72800ba (2 curves)	1	2+ 5- 7+ 13-	2+ -2 5- 7+ -2 13-  2 -8
Curve Equation t Generators 72800ba1 [0,1,0,-28098,-1803392] 2 [-96:136:1] 72800ba2 [0,1,0,-448273,-115670817] 2 [50372:283985:64]
72800bb (2 curves)	1	2+ 5- 7+ 13-	2+ -2 5- 7+  4 13-  0  0
Curve Equation t Generators 72800bb1 [0,1,0,-87458,9849088] 2 [109:1274:1] 72800bb2 [0,1,0,-26208,23446588] 2 [359:7774:1]
72800bc (2 curves)	1	2+ 5- 7- 13+	2+  0 5- 7-  2 13+  0 -2
Curve Equation t Generators 72800bc1 [0,0,0,-4625,-75000] 2 [-51:168:1] 72800bc2 [0,0,0,-65875,-6506250] 2 [-4002:1036:27]
72800bd (2 curves)	1	2+ 5- 7- 13+	2+  2 5- 7- -4 13+ -4  4
Curve Equation t Generators 72800bd1 [0,-1,0,-1300458,-570378088] 2 [1692397689:-75244441832:658503] 72800bd2 [0,-1,0,-1299208,-571530588] 2 [265152:26089154:27]
72800be (2 curves)	0	2+ 5- 7- 13-	2+  2 5- 7-  4 13-  4 -4
Curve Equation t 72800be1 [0,-1,0,-52018,4583832] 2 72800be2 [0,-1,0,-51968,4593032] 2
72800bf (1 curve)	0	2+ 5- 7- 13-	2+  3 5- 7-  4 13- -6  8
Curve Equation t 72800bf1 [0,0,0,-277000,-56110000] 1
72800bg (1 curve)	0	2- 5+ 7+ 13+	2-  1 5+ 7+  1 13+ -4 -6
Curve Equation t 72800bg1 [0,1,0,15792,322088] 1
72800bh (2 curves)	0	2- 5+ 7+ 13+	2-  2 5+ 7+ -4 13+  8 -2
Curve Equation t 72800bh1 [0,-1,0,-15750658,24040041312] 2 72800bh2 [0,-1,0,-19952408,10207880312] 2
72800bi (2 curves)	2	2- 5+ 7+ 13+	2- -2 5+ 7+  0 13+  0 -6
Curve Equation t Generators 72800bi1 [0,1,0,-658,5688] 2 [-22:100:1]&[-7:100:1] 72800bi2 [0,1,0,-2408,-39812] 2 [-21:44:1]&[63:250:1]
72800bj (2 curves)	0	2- 5+ 7+ 13+	2- -2 5+ 7+ -2 13+  2 -6
Curve Equation t 72800bj1 [0,1,0,-9153758,-10662807512] 2 72800bj2 [0,1,0,-9147633,-10677783137] 2
72800bk (2 curves)	2	2- 5+ 7+ 13+	2- -2 5+ 7+ -2 13+ -6  2
Curve Equation t Generators 72800bk1 [0,1,0,-1758,20488] 2 [-36:196:1]&[-23:222:1] 72800bk2 [0,1,0,4367,136863] 2 [-22:175:1]&[23:-500:1]
72800bl (1 curve)	0	2- 5+ 7+ 13+	2- -3 5+ 7+  4 13+  6  8
Curve Equation t 72800bl1 [0,0,0,-11080,-448880] 1
72800bm (4 curves)	1	2- 5+ 7+ 13-	2-  0 5+ 7+ -4 13-  2  4
Curve Equation t Generators 72800bm1 [0,0,0,-966325,-365356500] 4 [768840:20284875:512] 72800bm2 [0,0,0,-755075,-529497750] 2 [24109796564130:2280345601552200:2668267603] 72800bm3 [0,0,0,-1180700,-191284000] 4 [-946:8892:1] 72800bm4 [0,0,0,-15458075,-23392747250] 2 [-643741822782:-1058952232:283593393]
72800bn (4 curves)	1	2- 5+ 7- 13+	2-  0 5+ 7- -4 13+ -2  4
Curve Equation t Generators 72800bn1 [0,0,0,-1525,-22500] 4 [101:924:1] 72800bn2 [0,0,0,100,-68000] 2 [54:308:1] 72800bn3 [0,0,0,-3275,38750] 2 [5:150:1] 72800bn4 [0,0,0,-24275,-1455750] 2 [1458:3333:8]
72800bo (1 curve)	1	2- 5+ 7- 13+	2- -1 5+ 7-  0 13+  6  0
Curve Equation t Generators 72800bo1 [0,-1,0,-18333,-917963] 1 [-89:28:1]
72800bp (1 curve)	1	2- 5+ 7- 13+	2- -1 5+ 7- -1 13+ -4  6
Curve Equation t Generators 72800bp1 [0,-1,0,15792,-322088] 1 [157:2450:1]
72800bq (1 curve)	1	2- 5+ 7- 13+	2- -1 5+ 7-  3 13+  3  3
Curve Equation t Generators 72800bq1 [0,-1,0,-22608,1315972] 1 [88:-14:1]
72800br (2 curves)	1	2- 5+ 7- 13+	2-  2 5+ 7-  2 13+  2  6
Curve Equation t Generators 72800br1 [0,-1,0,-9153758,10662807512] 2 [68844:1684700:27] 72800br2 [0,-1,0,-9147633,10677783137] 2 [7757:637500:1]
72800bs (2 curves)	1	2- 5+ 7- 13+	2-  2 5+ 7-  2 13+ -6 -2
Curve Equation t Generators 72800bs1 [0,-1,0,-1758,-20488] 2 [-22:84:1] 72800bs2 [0,-1,0,4367,-136863] 2 [477:10500:1]
72800bt (2 curves)	1	2- 5+ 7- 13+	2- -2 5+ 7-  0 13+  4  2
Curve Equation t Generators 72800bt1 [0,1,0,-13658,609688] 2 [28:500:1] 72800bt2 [0,1,0,-15408,441688] 2 [123:650:1]
72800bu (2 curves)	0	2- 5+ 7- 13-	2-  2 5+ 7-  4 13- -4 -2
Curve Equation t 72800bu1 [0,-1,0,-6258,138512] 2 72800bu2 [0,-1,0,-92008,10771512] 2
72800bv (2 curves)	1	2- 5- 7+ 13+	2- -2 5- 7+  4 13+ -4 -4
Curve Equation t Generators 72800bv1 [0,1,0,-1300458,570378088] 2 [577:3528:1] 72800bv2 [0,1,0,-1299208,571530588] 2 [378696:2032875:512]
72800bw (2 curves)	0	2- 5- 7+ 13-	2-  0 5- 7+  2 13-  0 -2
Curve Equation t 72800bw1 [0,0,0,-185,-600] 2 72800bw2 [0,0,0,-2635,-52050] 2
72800bx (2 curves)	0	2- 5- 7+ 13-	2- -2 5- 7+ -4 13-  4  4
Curve Equation t 72800bx1 [0,1,0,-52018,-4583832] 2 72800bx2 [0,1,0,-51968,-4593032] 2
72800by (1 curve)	0	2- 5- 7+ 13-	2-  3 5- 7+  4 13-  2 -4
Curve Equation t 72800by1 [0,0,0,-127000,6678800] 1
72800bz (1 curve)	2	2- 5- 7+ 13-	2- -3 5- 7+ -4 13- -6 -8
Curve Equation t Generators 72800bz1 [0,0,0,-277000,56110000] 1 [316:-364:1]&[-100:9100:1]
72800ca (2 curves)	0	2- 5- 7- 13+	2-  2 5- 7- -2 13+ -2 -8
Curve Equation t 72800ca1 [0,-1,0,-702458,-224019088] 2 72800ca2 [0,-1,0,-11206833,-14436438463] 2
72800cb (2 curves)	0	2- 5- 7- 13+	2-  2 5- 7-  4 13+  0  0
Curve Equation t 72800cb1 [0,-1,0,-3498,80192] 2 72800cb2 [0,-1,0,-1048,187992] 2
72800cc (2 curves)	0	2- 5- 7- 13+	2- -2 5- 7-  2 13+ -2  4
Curve Equation t 72800cc1 [0,1,0,-2458,44088] 2 72800cc2 [0,1,0,-6833,-161537] 2
72800cd (2 curves)	1	2- 5- 7- 13-	2-  0 5- 7- -2 13-  0  2
Curve Equation t Generators 72800cd1 [0,0,0,-185,600] 2 [-1:28:1] 72800cd2 [0,0,0,-2635,52050] 2 [34:42:1]
72800ce (1 curve)	1	2- 5- 7- 13-	2- -1 5- 7-  0 13- -6  0
Curve Equation t Generators 72800ce1 [0,-1,0,-733,7637] 1 [11:28:1]
72800cf (1 curve)	1	2- 5- 7- 13-	2- -1 5- 7- -3 13- -3 -3
Curve Equation t Generators 72800cf1 [0,-1,0,-565208,-163366088] 1 [6954:9373:8]
72800cg (2 curves)	1	2- 5- 7- 13-	2-  2 5- 7-  2 13-  2  8
Curve Equation t Generators 72800cg1 [0,-1,0,-28098,1803392] 2 [122:420:1] 72800cg2 [0,-1,0,-448273,115670817] 2 [297:2940:1]
72800ch (2 curves)	1	2- 5- 7- 13-	2-  2 5- 7- -4 13-  0  0
Curve Equation t Generators 72800ch1 [0,-1,0,-87458,-9849088] 2 [346:1092:1] 72800ch2 [0,-1,0,-26208,-23446588] 2 [58817:14264250:1]
72800ci (2 curves)	1	2- 5- 7- 13-	2- -2 5- 7- -2 13-  2 -4
Curve Equation t Generators 72800ci1 [0,1,0,-98,-392] 2 [-6:4:1] 72800ci2 [0,1,0,-273,1183] 2 [-13:52:1]
72800cj (1 curve)	1	2- 5- 7- 13-	2- -3 5- 7- -4 13-  2  4
Curve Equation t Generators 72800cj1 [0,0,0,-127000,-6678800] 1 [-116:-2548:1]

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