Cremona's table of elliptic curves

69600 = 2⁵ · 3 · 5² · 29

Class	r	Atkin-Lehner	Eigenvalues
69600a (2 curves)	1	2+ 3+ 5+ 29+	2+ 3+ 5+  2  4 -2 -4  4
Curve Equation t Generators 69600a1 [0,-1,0,-1258,-13988] 2 [-18:50:1] 69600a2 [0,-1,0,2367,-82863] 2 [72:675:1]
69600b (2 curves)	1	2+ 3+ 5+ 29+	2+ 3+ 5+  2  6 -4  2 -4
Curve Equation t Generators 69600b1 [0,-1,0,-1258,17512] 2 [27:50:1] 69600b2 [0,-1,0,-2008,-4988] 2 [57:250:1]
69600c (2 curves)	1	2+ 3+ 5+ 29+	2+ 3+ 5+ -2  2  4 -6  0
Curve Equation t Generators 69600c1 [0,-1,0,-329258,-71710488] 2 [2107:92650:1] 69600c2 [0,-1,0,-5250008,-4628324988] 2 [13697801:240644750:4913]
69600d (2 curves)	1	2+ 3+ 5+ 29+	2+ 3+ 5+ -2  2  6  2 -2
Curve Equation t Generators 69600d1 [0,-1,0,-4158,93312] 2 [-73:50:1] 69600d2 [0,-1,0,5967,467937] 2 [63:1044:1]
69600e (1 curve)	1	2+ 3+ 5+ 29+	2+ 3+ 5+ -4 -3 -4 -4 -4
Curve Equation t Generators 69600e1 [0,-1,0,-683133,-217104363] 1 [14447:1733500:1]
69600f (2 curves)	0	2+ 3+ 5+ 29-	2+ 3+ 5+  0  2  6 -4 -2
Curve Equation t 69600f1 [0,-1,0,-8658,-307188] 2 69600f2 [0,-1,0,-8033,-354063] 2
69600g (2 curves)	0	2+ 3+ 5+ 29-	2+ 3+ 5+  0 -4  0  2 -2
Curve Equation t 69600g1 [0,-1,0,-755158,252835312] 2 69600g2 [0,-1,0,-754408,253361812] 2
69600h (4 curves)	2	2+ 3+ 5+ 29-	2+ 3+ 5+  0 -4  2 -2 -4
Curve Equation t Generators 69600h1 [0,-1,0,-7258,239512] 4 [-69:638:1]&[-2:504:1] 69600h2 [0,-1,0,-3633,475137] 2 [-88:325:1]&[32:625:1] 69600h3 [0,-1,0,-11008,-30488] 2 [-3:50:1]&[477:10150:1] 69600h4 [0,-1,0,-116008,15247012] 2 [-48:4550:1]&[152:1050:1]
69600i (2 curves)	0	2+ 3+ 5+ 29-	2+ 3+ 5+  4  0  0 -6  2
Curve Equation t 69600i1 [0,-1,0,-1158,-14688] 2 69600i2 [0,-1,0,-408,-34188] 2
69600j (4 curves)	0	2+ 3+ 5+ 29-	2+ 3+ 5+  4  4  2  2  4
Curve Equation t 69600j1 [0,-1,0,-18258,127512] 4 69600j2 [0,-1,0,72367,943137] 2 69600j3 [0,-1,0,-187008,-30922488] 2 69600j4 [0,-1,0,-214008,38103012] 2
69600k (2 curves)	0	2+ 3+ 5- 29+	2+ 3+ 5-  0  6  2 -6  8
Curve Equation t 69600k1 [0,-1,0,-138,72] 2 69600k2 [0,-1,0,-1488,-21528] 2
69600l (2 curves)	2	2+ 3+ 5- 29+	2+ 3+ 5-  0 -6 -2  6 -8
Curve Equation t Generators 69600l1 [0,-1,0,-3458,-2088] 2 [-9:168:1]&[-4:108:1] 69600l2 [0,-1,0,-37208,2765412] 2 [-144:2262:1]&[-8:1750:1]
69600m (2 curves)	0	2+ 3+ 5- 29+	2+ 3+ 5-  2  4 -6 -2  2
Curve Equation t 69600m1 [0,-1,0,-958,-7088] 2 69600m2 [0,-1,0,2792,-52088] 2
69600n (2 curves)	0	2+ 3+ 5- 29+	2+ 3+ 5- -2  0 -2  6  2
Curve Equation t 69600n1 [0,-1,0,-39838,3069472] 2 69600n2 [0,-1,0,-27688,4964872] 2
69600o (2 curves)	2	2+ 3+ 5- 29+	2+ 3+ 5- -4  2  4 -2 -2
Curve Equation t Generators 69600o1 [0,-1,0,-178,952] 2 [-13:30:1]&[-2:36:1] 69600o2 [0,-1,0,47,2977] 2 [-8:45:1]&[3:56:1]
69600p (2 curves)	2	2+ 3+ 5- 29+	2+ 3+ 5- -4 -2 -4  2  2
Curve Equation t Generators 69600p1 [0,-1,0,-4458,-110088] 2 [-42:36:1]&[-34:32:1] 69600p2 [0,-1,0,1167,-374463] 2 [83:536:1]&[96:783:1]
69600q (2 curves)	0	2+ 3- 5+ 29+	2+ 3- 5+  2 -2  6  2  2
Curve Equation t 69600q1 [0,1,0,-4158,-93312] 2 69600q2 [0,1,0,5967,-467937] 2
69600r (2 curves)	2	2+ 3- 5+ 29+	2+ 3- 5+ -2 -4 -2 -4 -4
Curve Equation t Generators 69600r1 [0,1,0,-1258,13988] 2 [-32:150:1]&[-16:174:1] 69600r2 [0,1,0,2367,82863] 2 [-21:156:1]&[3:300:1]
69600s (2 curves)	1	2+ 3- 5+ 29-	2+ 3- 5+  0 -2  6 -4  2
Curve Equation t Generators 69600s1 [0,1,0,-8658,307188] 2 [-72:750:1] 69600s2 [0,1,0,-8033,354063] 2 [43:-300:1]
69600t (2 curves)	1	2+ 3- 5+ 29-	2+ 3- 5+  0  4  0  2  2
Curve Equation t Generators 69600t1 [0,1,0,-755158,-252835312] 2 [-90675887318816334379:-323024390573802150:180604525286449277] 69600t2 [0,1,0,-754408,-253361812] 2 [7901221113077382655366905601277819:-267016987944606740780659458972470106:4703348744377520437048045745717]
69600u (2 curves)	1	2+ 3- 5+ 29-	2+ 3- 5+  2  2  0  6 -4
Curve Equation t Generators 69600u1 [0,1,0,-18916658,31660868688] 2 [493:149850:1] 69600u2 [0,1,0,-19463408,29733028188] 2 [439:145854:1]
69600v (2 curves)	1	2+ 3- 5+ 29-	2+ 3- 5+  2  2  4 -6  0
Curve Equation t Generators 69600v1 [0,1,0,-1658,-21312] 2 [-23:72:1] 69600v2 [0,1,0,-8408,275688] 2 [-62:750:1]
69600w (2 curves)	1	2+ 3- 5+ 29-	2+ 3- 5+ -4  0  0 -6 -2
Curve Equation t Generators 69600w1 [0,1,0,-1158,14688] 2 [-7:150:1] 69600w2 [0,1,0,-408,34188] 2 [-1:186:1]
69600x (1 curve)	1	2+ 3- 5+ 29-	2+ 3- 5+ -4  5  0  0 -4
Curve Equation t Generators 69600x1 [0,1,0,2467,55563] 1 [13:-300:1]
69600y (2 curves)	1	2+ 3- 5- 29+	2+ 3- 5-  2  0 -2  6 -2
Curve Equation t Generators 69600y1 [0,1,0,-39838,-3069472] 2 [-118:48:1] 69600y2 [0,1,0,-27688,-4964872] 2 [287:3288:1]
69600z (2 curves)	1	2+ 3- 5- 29+	2+ 3- 5- -2 -4 -6 -2 -2
Curve Equation t Generators 69600z1 [0,1,0,-958,7088] 2 [2:72:1] 69600z2 [0,1,0,2792,52088] 2 [127:1572:1]
69600ba (4 curves)	0	2- 3+ 5+ 29+	2- 3+ 5+  0  4  2 -6  4
Curve Equation t 69600ba1 [0,-1,0,-6558,203112] 4 69600ba2 [0,-1,0,192,594612] 2 69600ba3 [0,-1,0,-13808,-318888] 2 69600ba4 [0,-1,0,-104433,13024737] 2
69600bb (1 curve)	0	2- 3+ 5+ 29+	2- 3+ 5+  0 -5  4 -4 -4
Curve Equation t 69600bb1 [0,-1,0,-1515533,-719521563] 1
69600bc (2 curves)	1	2- 3+ 5+ 29-	2- 3+ 5+  0 -2 -2 -4  2
Curve Equation t Generators 69600bc1 [0,-1,0,-6665658,-6383278188] 2 [-1374:13398:1] 69600bc2 [0,-1,0,3099967,-23521950063] 2 [19655581:-2396738988:1331]
69600bd (1 curve)	1	2- 3+ 5+ 29-	2- 3+ 5+  1 -6 -4 -3 -1
Curve Equation t Generators 69600bd1 [0,-1,0,592,-10188] 1 [28:166:1]
69600be (2 curves)	1	2- 3+ 5+ 29-	2- 3+ 5+ -2 -2  0  6  4
Curve Equation t Generators 69600be1 [0,-1,0,-18916658,-31660868688] 2 [-14087893874150957523975:1690501065116250227138:5596850217185296875] 69600be2 [0,-1,0,-19463408,-29733028188] 2 [-305779086661536:-2125110253906250:163039787847]
69600bf (2 curves)	1	2- 3+ 5+ 29-	2- 3+ 5+ -2 -2  4 -6  0
Curve Equation t Generators 69600bf1 [0,-1,0,-1658,21312] 2 [-22:216:1] 69600bf2 [0,-1,0,-8408,-275688] 2 [-47:116:1]
69600bg (1 curve)	1	2- 3+ 5+ 29-	2- 3+ 5+  4 -5  0  0  4
Curve Equation t Generators 69600bg1 [0,-1,0,2467,-55563] 1 [87:900:1]
69600bh (2 curves)	1	2- 3+ 5+ 29-	2- 3+ 5+ -4 -4 -4  6 -6
Curve Equation t Generators 69600bh1 [0,-1,0,-26158,-1459688] 2 [-93:400:1] 69600bh2 [0,-1,0,34592,-7291688] 2 [393:8176:1]
69600bi (1 curve)	1	2- 3+ 5+ 29-	2- 3+ 5+ -4  5 -4  0  0
Curve Equation t Generators 69600bi1 [0,-1,0,-1133,-42363] 1 [187:2500:1]
69600bj (2 curves)	1	2- 3+ 5- 29+	2- 3+ 5-  2 -4  6  2 -2
Curve Equation t Generators 69600bj1 [0,-1,0,-38,72] 2 [-4:12:1] 69600bj2 [0,-1,0,112,372] 2 [1:22:1]
69600bk (2 curves)	1	2- 3+ 5- 29+	2- 3+ 5- -2  0  2 -6 -2
Curve Equation t Generators 69600bk1 [0,-1,0,-995958,-381692088] 2 [-110052403236:-139839043788:192100033] 69600bk2 [0,-1,0,-692208,-619224588] 2 [694053256462590589:-39615616059616967438:197920856099933]
69600bl (4 curves)	1	2- 3- 5+ 29+	2- 3- 5+  0 -4  2 -6 -4
Curve Equation t Generators 69600bl1 [0,1,0,-6558,-203112] 4 [-51:36:1] 69600bl2 [0,1,0,192,-594612] 2 [99:636:1] 69600bl3 [0,1,0,-13808,318888] 2 [-122:450:1] 69600bl4 [0,1,0,-104433,-13024737] 2 [1413:51600:1]
69600bm (1 curve)	1	2- 3- 5+ 29+	2- 3- 5+  0  5  4 -4  4
Curve Equation t Generators 69600bm1 [0,1,0,-1515533,719521563] 1 [1153:22500:1]
69600bn (2 curves)	1	2- 3- 5+ 29+	2- 3- 5+  2 -2  4 -6  0
Curve Equation t Generators 69600bn1 [0,1,0,-329258,71710488] 2 [418:2700:1] 69600bn2 [0,1,0,-5250008,4628324988] 2 [1903:39150:1]
69600bo (2 curves)	1	2- 3- 5+ 29+	2- 3- 5+ -2 -6 -4  2  4
Curve Equation t Generators 69600bo1 [0,1,0,-1258,-17512] 2 [98:900:1] 69600bo2 [0,1,0,-2008,4988] 2 [794:7125:8]
69600bp (1 curve)	1	2- 3- 5+ 29+	2- 3- 5+  4  3 -4 -4  4
Curve Equation t Generators 69600bp1 [0,1,0,-683133,217104363] 1 [453:900:1]
69600bq (2 curves)	0	2- 3- 5+ 29-	2- 3- 5+  0  2 -2 -4 -2
Curve Equation t 69600bq1 [0,1,0,-6665658,6383278188] 2 69600bq2 [0,1,0,3099967,23521950063] 2
69600br (4 curves)	0	2- 3- 5+ 29-	2- 3- 5+  0  4  2 -2  4
Curve Equation t 69600br1 [0,1,0,-7258,-239512] 4 69600br2 [0,1,0,-3633,-475137] 2 69600br3 [0,1,0,-11008,30488] 2 69600br4 [0,1,0,-116008,-15247012] 2
69600bs (1 curve)	0	2- 3- 5+ 29-	2- 3- 5+ -1  6 -4 -3  1
Curve Equation t 69600bs1 [0,1,0,592,10188] 1
69600bt (2 curves)	0	2- 3- 5+ 29-	2- 3- 5+  4  4 -4  6  6
Curve Equation t 69600bt1 [0,1,0,-26158,1459688] 2 69600bt2 [0,1,0,34592,7291688] 2
69600bu (1 curve)	0	2- 3- 5+ 29-	2- 3- 5+  4 -5 -4  0  0
Curve Equation t 69600bu1 [0,1,0,-1133,42363] 1
69600bv (4 curves)	2	2- 3- 5+ 29-	2- 3- 5+ -4 -4  2  2 -4
Curve Equation t Generators 69600bv1 [0,1,0,-18258,-127512] 4 [-123:522:1]&[-87:900:1] 69600bv2 [0,1,0,72367,-943137] 2 [43:1500:1]&[67:2052:1] 69600bv3 [0,1,0,-187008,30922488] 2 [-462:4350:1]&[18:5250:1] 69600bv4 [0,1,0,-214008,-38103012] 2 [-273:222:1]&[-261:204:1]
69600bw (2 curves)	0	2- 3- 5- 29+	2- 3- 5-  0  6 -2  6  8
Curve Equation t 69600bw1 [0,1,0,-3458,2088] 2 69600bw2 [0,1,0,-37208,-2765412] 2
69600bx (2 curves)	2	2- 3- 5- 29+	2- 3- 5-  0 -6  2 -6 -8
Curve Equation t Generators 69600bx1 [0,1,0,-138,-72] 2 [-6:24:1]&[-3:18:1] 69600bx2 [0,1,0,-1488,21528] 2 [-22:210:1]&[-6:174:1]
69600by (2 curves)	0	2- 3- 5- 29+	2- 3- 5-  2  0  2 -6  2
Curve Equation t 69600by1 [0,1,0,-995958,381692088] 2 69600by2 [0,1,0,-692208,619224588] 2
69600bz (2 curves)	0	2- 3- 5- 29+	2- 3- 5- -2  4  6  2  2
Curve Equation t 69600bz1 [0,1,0,-38,-72] 2 69600bz2 [0,1,0,112,-372] 2
69600ca (2 curves)	0	2- 3- 5- 29+	2- 3- 5-  4  2 -4  2 -2
Curve Equation t 69600ca1 [0,1,0,-4458,110088] 2 69600ca2 [0,1,0,1167,374463] 2
69600cb (2 curves)	0	2- 3- 5- 29+	2- 3- 5-  4 -2  4 -2  2
Curve Equation t 69600cb1 [0,1,0,-178,-952] 2 69600cb2 [0,1,0,47,-2977] 2

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