Cremona's table of elliptic curves

79968 = 2⁵ · 3 · 7² · 17

Class	r	Atkin-Lehner	Eigenvalues
79968a (1 curve)	1	2+ 3+ 7+ 17+	2+ 3+  3 7+ -2 -7 17+ -4
Curve Equation t Generators 79968a1 [0,-1,0,-849,-9183] 1 [-16:7:1]
79968b (1 curve)	0	2+ 3+ 7+ 17-	2+ 3+ -3 7+ -5 -6 17-  2
Curve Equation t 79968b1 [0,-1,0,-9032,2107176] 1
79968c (1 curve)	0	2+ 3+ 7- 17+	2+ 3+  1 7- -1  1 17+ -1
Curve Equation t 79968c1 [0,-1,0,-6925,-220667] 1
79968d (1 curve)	2	2+ 3+ 7- 17+	2+ 3+  1 7-  2 -4 17+ -7
Curve Equation t Generators 79968d1 [0,-1,0,-1640,26244] 1 [-40:162:1]&[0:162:1]
79968e (1 curve)	0	2+ 3+ 7- 17+	2+ 3+  1 7-  5  5 17+  2
Curve Equation t 79968e1 [0,-1,0,-7576200,-8023958172] 1
79968f (1 curve)	0	2+ 3+ 7- 17+	2+ 3+  1 7- -5  5 17+  7
Curve Equation t 79968f1 [0,-1,0,-10845,1236789] 1
79968g (1 curve)	0	2+ 3+ 7- 17+	2+ 3+ -1 7-  2 -1 17+  8
Curve Equation t 79968g1 [0,-1,0,-1521,-21951] 1
79968h (4 curves)	0	2+ 3+ 7- 17+	2+ 3+  2 7- -4  2 17+ -4
Curve Equation t 79968h1 [0,-1,0,-40882,3178120] 4 79968h2 [0,-1,0,-16872,6856452] 2 79968h3 [0,-1,0,-65872,-1140152] 2 79968h4 [0,-1,0,-653137,203385505] 2
79968i (2 curves)	2	2+ 3+ 7- 17+	2+ 3+ -2 7-  0 -2 17+  0
Curve Equation t Generators 79968i1 [0,-1,0,26,64] 2 [-1:6:1]&[0:8:1] 79968i2 [0,-1,0,-184,820] 2 [-12:34:1]&[21:76:1]
79968j (2 curves)	0	2+ 3+ 7- 17+	2+ 3+ -2 7-  2  4 17+  2
Curve Equation t 79968j1 [0,-1,0,71426,142864] 2 79968j2 [0,-1,0,-285784,1428820] 2
79968k (2 curves)	2	2+ 3+ 7- 17+	2+ 3+ -2 7- -4  2 17+  2
Curve Equation t Generators 79968k1 [0,-1,0,-1094,-9036] 2 [-26:34:1]&[54:294:1] 79968k2 [0,-1,0,3071,-64847] 2 [21:92:1]&[61:-588:1]
79968l (1 curve)	0	2+ 3+ 7- 17+	2+ 3+  3 7-  5  6 17+  2
Curve Equation t 79968l1 [0,-1,0,-184,6196] 1
79968m (1 curve)	0	2+ 3+ 7- 17+	2+ 3+ -3 7-  3  5 17+  0
Curve Equation t 79968m1 [0,-1,0,2168,-15644] 1
79968n (1 curve)	0	2+ 3+ 7- 17+	2+ 3+ -3 7- -5 -1 17+  0
Curve Equation t 79968n1 [0,-1,0,-1065472,423838024] 1
79968o (1 curve)	0	2+ 3+ 7- 17+	2+ 3+  4 7-  2 -1 17+ -7
Curve Equation t 79968o1 [0,-1,0,5230979,5901123733] 1
79968p (1 curve)	1	2+ 3+ 7- 17-	2+ 3+  1 7- -5 -1 17- -2
Curve Equation t Generators 79968p1 [0,-1,0,-22360,1544068] 1 [-72:1666:1]
79968q (2 curves)	1	2+ 3+ 7- 17-	2+ 3+  2 7-  0  2 17-  0
Curve Equation t Generators 79968q1 [0,-1,0,1258,24480] 2 [184:2540:1] 79968q2 [0,-1,0,-9032,263208] 2 [194290:2409317:1000]
79968r (2 curves)	1	2+ 3+ 7- 17-	2+ 3+  2 7- -2  0 17- -6
Curve Equation t Generators 79968r1 [0,-1,0,-702,-116640] 2 [55:90:1] 79968r2 [0,-1,0,-40392,-3085452] 2 [-124:34:1]
79968s (1 curve)	1	2+ 3- 7+ 17-	2+ 3-  1 7+  2  1 17- -8
Curve Equation t Generators 79968s1 [0,1,0,-74545,7678271] 1 [65:-1764:1]
79968t (1 curve)	1	2+ 3- 7+ 17-	2+ 3- -1 7+  2  4 17-  7
Curve Equation t Generators 79968t1 [0,1,0,-80376,-8840952] 1 [354:2682:1]
79968u (1 curve)	1	2+ 3- 7+ 17-	2+ 3- -3 7+  5 -6 17- -2
Curve Equation t Generators 79968u1 [0,1,0,-9032,-2107176] 1 [310:-4998:1]
79968v (1 curve)	1	2+ 3- 7+ 17-	2+ 3- -4 7+  2  1 17-  7
Curve Equation t Generators 79968v1 [0,1,0,106755,-17173941] 1 [137:204:1]
79968w (1 curve)	1	2+ 3- 7- 17+	2+ 3-  1 7-  1  1 17+  1
Curve Equation t Generators 79968w1 [0,1,0,-6925,220667] 1 [-19:588:1]
79968x (2 curves)	1	2+ 3- 7- 17+	2+ 3- -2 7-  0 -2 17+  0
Curve Equation t Generators 79968x1 [0,1,0,26,-64] 2 [10:36:1] 79968x2 [0,1,0,-184,-820] 2 [122:99:8]
79968y (2 curves)	1	2+ 3- 7- 17+	2+ 3- -2 7- -2  4 17+ -2
Curve Equation t Generators 79968y1 [0,1,0,71426,-142864] 2 [170:4116:1] 79968y2 [0,1,0,-285784,-1428820] 2 [-481:4998:1]
79968z (1 curve)	1	2+ 3- 7- 17+	2+ 3-  3 7- -5  6 17+ -2
Curve Equation t Generators 79968z1 [0,1,0,-184,-6196] 1 [95:918:1]
79968ba (2 curves)	0	2+ 3- 7- 17-	2+ 3-  0 7-  0  6 17-  4
Curve Equation t 79968ba1 [0,1,0,-22458,1287936] 2 79968ba2 [0,1,0,-21968,1347324] 2
79968bb (2 curves)	0	2+ 3- 7- 17-	2+ 3-  2 7-  0  2 17-  0
Curve Equation t 79968bb1 [0,1,0,1258,-24480] 2 79968bb2 [0,1,0,-9032,-263208] 2
79968bc (2 curves)	0	2+ 3- 7- 17-	2+ 3-  2 7-  2  0 17-  6
Curve Equation t 79968bc1 [0,1,0,-702,116640] 2 79968bc2 [0,1,0,-40392,3085452] 2
79968bd (4 curves)	0	2+ 3- 7- 17-	2+ 3- -2 7-  0  2 17- -8
Curve Equation t 79968bd1 [0,1,0,-4034,-87984] 4 79968bd2 [0,1,0,6256,-454308] 2 79968bd3 [0,1,0,-16529,724191] 2 79968bd4 [0,1,0,-62344,-6012280] 2
79968be (4 curves)	0	2+ 3- 7- 17-	2+ 3- -2 7-  4 -2 17- -4
Curve Equation t 79968be1 [0,1,0,-15794,-640704] 4 79968be2 [0,1,0,30511,-3650529] 2 79968be3 [0,1,0,-74104,7149512] 4 79968be4 [0,1,0,-240704,-45532740] 2
79968bf (1 curve)	0	2+ 3- 7- 17-	2+ 3-  3 7-  1  1 17- -2
Curve Equation t 79968bf1 [0,1,0,6256,6684] 1
79968bg (1 curve)	0	2+ 3- 7- 17-	2+ 3-  3 7-  3 -5 17-  0
Curve Equation t 79968bg1 [0,1,0,106216,5153448] 1
79968bh (1 curve)	0	2+ 3- 7- 17-	2+ 3-  3 7- -3 -3 17- -5
Curve Equation t 79968bh1 [0,1,0,131,-7477] 1
79968bi (1 curve)	0	2+ 3- 7- 17-	2+ 3-  3 7- -5  1 17-  0
Curve Equation t 79968bi1 [0,1,0,-21744,-1241892] 1
79968bj (1 curve)	0	2+ 3- 7- 17-	2+ 3- -3 7- -2  7 17-  4
Curve Equation t 79968bj1 [0,1,0,-41617,3232991] 1
79968bk (1 curve)	0	2- 3+ 7+ 17+	2- 3+  0 7+ -6 -3 17+  5
Curve Equation t 79968bk1 [0,-1,0,846067,-11762715] 1
79968bl (1 curve)	1	2- 3+ 7+ 17-	2- 3+  1 7+ -2  1 17-  8
Curve Equation t Generators 79968bl1 [0,-1,0,-74545,-7678271] 1 [401:5172:1]
79968bm (1 curve)	1	2- 3+ 7+ 17-	2- 3+ -1 7+  2  1 17- -2
Curve Equation t Generators 79968bm1 [0,-1,0,-3201,-44463] 1 [-16:49:1]
79968bn (1 curve)	1	2- 3+ 7+ 17-	2- 3+ -1 7+ -2  4 17- -7
Curve Equation t Generators 79968bn1 [0,-1,0,-80376,8840952] 1 [1146:3969:8]
79968bo (1 curve)	1	2- 3+ 7+ 17-	2- 3+ -4 7+ -2  1 17- -7
Curve Equation t Generators 79968bo1 [0,-1,0,106755,17173941] 1 [2651:137564:1]
79968bp (1 curve)	1	2- 3+ 7- 17+	2- 3+  1 7- -2 -1 17+ -2
Curve Equation t Generators 79968bp1 [0,-1,0,-65,-111] 1 [-5:8:1]
79968bq (4 curves)	1	2- 3+ 7- 17+	2- 3+ -2 7-  4  2 17+  0
Curve Equation t Generators 79968bq1 [0,-1,0,-5014,-133496] 4 [84:176:1] 79968bq2 [0,-1,0,-849,-352575] 2 [173:2156:1] 79968bq3 [0,-1,0,-9424,141688] 2 [-23:588:1] 79968bq4 [0,-1,0,-79984,-8680076] 2 [7581:659560:1]
79968br (4 curves)	1	2- 3+ 7- 17+	2- 3+ -2 7-  4  2 17+ -8
Curve Equation t Generators 79968br1 [0,-1,0,-134374,-16691576] 4 [2912681:11150244:6859] 79968br2 [0,-1,0,202991,-87335807] 2 [301:972:1] 79968br3 [0,-1,0,-542544,136780344] 2 [299716607724:72733760163135:5088448] 79968br4 [0,-1,0,-2079184,-1153238540] 2 [1692:13034:1]
79968bs (2 curves)	0	2- 3+ 7- 17-	2- 3+  0 7-  0  6 17- -4
Curve Equation t 79968bs1 [0,-1,0,-22458,-1287936] 2 79968bs2 [0,-1,0,-21968,-1347324] 2
79968bt (1 curve)	0	2- 3+ 7- 17-	2- 3+  0 7-  6  3 17-  5
Curve Equation t 79968bt1 [0,-1,0,17267,-39227] 1
79968bu (1 curve)	0	2- 3+ 7- 17-	2- 3+ -1 7- -5  1 17-  5
Curve Equation t 79968bu1 [0,-1,0,13459,105477] 1
79968bv (4 curves)	0	2- 3+ 7- 17-	2- 3+  2 7-  4 -2 17- -4
Curve Equation t 79968bv1 [0,-1,0,-1666702,-748485800] 4 79968bv2 [0,-1,0,2156768,-3684910760] 2 79968bv3 [0,-1,0,-6204592,5138065108] 4 79968bv4 [0,-1,0,-25952817,-50879884383] 2
79968bw (4 curves)	0	2- 3+ 7- 17-	2- 3+ -2 7-  0  2 17-  8
Curve Equation t 79968bw1 [0,-1,0,-4034,87984] 4 79968bw2 [0,-1,0,6256,454308] 2 79968bw3 [0,-1,0,-16529,-724191] 2 79968bw4 [0,-1,0,-62344,6012280] 2
79968bx (4 curves)	0	2- 3+ 7- 17-	2- 3+ -2 7- -4 -2 17-  4
Curve Equation t 79968bx1 [0,-1,0,-15794,640704] 4 79968bx2 [0,-1,0,30511,3650529] 4 79968bx3 [0,-1,0,-74104,-7149512] 2 79968bx4 [0,-1,0,-240704,45532740] 2
79968by (1 curve)	0	2- 3+ 7- 17-	2- 3+  3 7- -1  1 17-  2
Curve Equation t 79968by1 [0,-1,0,6256,-6684] 1
79968bz (1 curve)	0	2- 3+ 7- 17-	2- 3+  3 7-  3 -3 17-  5
Curve Equation t 79968bz1 [0,-1,0,131,7477] 1
79968ca (1 curve)	0	2- 3+ 7- 17-	2- 3+  3 7- -3 -5 17-  0
Curve Equation t 79968ca1 [0,-1,0,106216,-5153448] 1
79968cb (1 curve)	0	2- 3+ 7- 17-	2- 3+  3 7-  5  1 17-  0
Curve Equation t 79968cb1 [0,-1,0,-21744,1241892] 1
79968cc (1 curve)	0	2- 3+ 7- 17-	2- 3+ -3 7-  2  7 17- -4
Curve Equation t 79968cc1 [0,-1,0,-41617,-3232991] 1
79968cd (1 curve)	1	2- 3- 7+ 17+	2- 3-  0 7+  6 -3 17+ -5
Curve Equation t Generators 79968cd1 [0,1,0,846067,11762715] 1 [6337:509796:1]
79968ce (1 curve)	1	2- 3- 7+ 17+	2- 3-  3 7+  2 -7 17+  4
Curve Equation t Generators 79968ce1 [0,1,0,-849,9183] 1 [11:36:1]
79968cf (1 curve)	0	2- 3- 7+ 17-	2- 3- -1 7+ -2  1 17-  2
Curve Equation t 79968cf1 [0,1,0,-3201,44463] 1
79968cg (1 curve)	0	2- 3- 7- 17+	2- 3-  1 7-  2 -1 17+  2
Curve Equation t 79968cg1 [0,1,0,-65,111] 1
79968ch (1 curve)	0	2- 3- 7- 17+	2- 3-  1 7- -2 -4 17+  7
Curve Equation t 79968ch1 [0,1,0,-1640,-26244] 1
79968ci (1 curve)	0	2- 3- 7- 17+	2- 3-  1 7-  5  5 17+ -7
Curve Equation t 79968ci1 [0,1,0,-10845,-1236789] 1
79968cj (1 curve)	0	2- 3- 7- 17+	2- 3-  1 7- -5  5 17+ -2
Curve Equation t 79968cj1 [0,1,0,-7576200,8023958172] 1
79968ck (1 curve)	2	2- 3- 7- 17+	2- 3- -1 7- -2 -1 17+ -8
Curve Equation t Generators 79968ck1 [0,1,0,-1521,21951] 1 [27:-36:1]&[-15:204:1]
79968cl (4 curves)	0	2- 3- 7- 17+	2- 3-  2 7-  4  2 17+  4
Curve Equation t 79968cl1 [0,1,0,-40882,-3178120] 4 79968cl2 [0,1,0,-16872,-6856452] 2 79968cl3 [0,1,0,-65872,1140152] 2 79968cl4 [0,1,0,-653137,-203385505] 2
79968cm (2 curves)	0	2- 3- 7- 17+	2- 3- -2 7-  4  2 17+ -2
Curve Equation t 79968cm1 [0,1,0,-1094,9036] 2 79968cm2 [0,1,0,3071,64847] 2
79968cn (4 curves)	2	2- 3- 7- 17+	2- 3- -2 7- -4  2 17+  0
Curve Equation t Generators 79968cn1 [0,1,0,-5014,133496] 4 [-31:510:1]&[20:204:1] 79968cn2 [0,1,0,-849,352575] 2 [-57:468:1]&[-33:588:1] 79968cn3 [0,1,0,-9424,-141688] 2 [-82:294:1]&[-26:294:1] 79968cn4 [0,1,0,-79984,8680076] 2 [167:90:1]&[263:2430:1]
79968co (4 curves)	0	2- 3- 7- 17+	2- 3- -2 7- -4  2 17+  8
Curve Equation t 79968co1 [0,1,0,-134374,16691576] 4 79968co2 [0,1,0,202991,87335807] 2 79968co3 [0,1,0,-542544,-136780344] 2 79968co4 [0,1,0,-2079184,1153238540] 2
79968cp (1 curve)	0	2- 3- 7- 17+	2- 3- -3 7- -3  5 17+  0
Curve Equation t 79968cp1 [0,1,0,2168,15644] 1
79968cq (1 curve)	0	2- 3- 7- 17+	2- 3- -3 7-  5 -1 17+  0
Curve Equation t 79968cq1 [0,1,0,-1065472,-423838024] 1
79968cr (1 curve)	0	2- 3- 7- 17+	2- 3-  4 7- -2 -1 17+  7
Curve Equation t 79968cr1 [0,1,0,5230979,-5901123733] 1
79968cs (1 curve)	1	2- 3- 7- 17-	2- 3-  0 7- -6  3 17- -5
Curve Equation t Generators 79968cs1 [0,1,0,17267,39227] 1 [293:5508:1]
79968ct (1 curve)	1	2- 3- 7- 17-	2- 3-  1 7-  5 -1 17-  2
Curve Equation t Generators 79968ct1 [0,1,0,-22360,-1544068] 1 [12091:1329468:1]
79968cu (1 curve)	1	2- 3- 7- 17-	2- 3- -1 7-  5  1 17- -5
Curve Equation t Generators 79968cu1 [0,1,0,13459,-105477] 1 [289:5292:1]
79968cv (4 curves)	1	2- 3- 7- 17-	2- 3-  2 7- -4 -2 17-  4
Curve Equation t Generators 79968cv1 [0,1,0,-1666702,748485800] 4 [-775:39690:1] 79968cv2 [0,1,0,2156768,3684910760] 2 [-197:57030:1] 79968cv3 [0,1,0,-6204592,-5138065108] 2 [-35331:735490:27] 79968cv4 [0,1,0,-25952817,50879884383] 4 [3047:9996:1]

Data from Elliptic Curve Data by J. E. Cremona.
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Part of Computational Number Theory
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