Cremona's table of elliptic curves

127600 = 2⁴ · 5² · 11 · 29

Class	r	Atkin-Lehner	Eigenvalues
127600a (1 curve)	1	2+ 5+ 11+ 29+	2+  0 5+  2 11+  4  0  0
Curve Equation t Generators 127600a1 [0,0,0,85,570] 1 [-1:22:1]
127600b (2 curves)	1	2+ 5+ 11+ 29+	2+  0 5+  2 11+  4  0  0
Curve Equation t Generators 127600b1 [0,0,0,51050,-5707125] 2 [16682851341:-34793939682:174676879] 127600b2 [0,0,0,-339575,-57660250] 2 [-1018355:855700:2197]
127600c (4 curves)	1	2+ 5+ 11+ 29+	2+  0 5+  4 11+  2  2 -4
Curve Equation t Generators 127600c1 [0,0,0,1825,30750] 2 [5:200:1] 127600c2 [0,0,0,-10675,293250] 4 [130:1050:1] 127600c3 [0,0,0,-65675,-6251750] 2 [10110:125650:27] 127600c4 [0,0,0,-155675,23638250] 2 [85254:1051127:216]
127600d (1 curve)	1	2+ 5+ 11+ 29+	2+ -1 5+ -4 11+  2  4  6
Curve Equation t Generators 127600d1 [0,-1,0,-3433,-126763] 1 [39812:987479:64]
127600e (2 curves)	1	2+ 5+ 11+ 29+	2+  2 5+  0 11+ -2 -8  4
Curve Equation t Generators 127600e1 [0,-1,0,-30283,1805562] 2 [-115962:13681954:9261] 127600e2 [0,-1,0,-468908,123743312] 2 [-44:12012:1]
127600f (1 curve)	0	2+ 5+ 11+ 29-	2+ -1 5+ -4 11+  7  4 -7
Curve Equation t 127600f1 [0,-1,0,-3033,470437] 1
127600g (1 curve)	2	2+ 5+ 11+ 29-	2+ -2 5+ -5 11+ -2 -6 -8
Curve Equation t Generators 127600g1 [0,1,0,-408,11188] 1 [18:100:1]&[-22:100:1]
127600h (1 curve)	2	2+ 5+ 11- 29+	2+ -1 5+ -2 11-  3 -6  0
Curve Equation t Generators 127600h1 [0,-1,0,-88,2192] 1 [8:-44:1]&[56:412:1]
127600i (2 curves)	0	2+ 5+ 11- 29+	2+  2 5+ -4 11- -2  4 -4
Curve Equation t 127600i1 [0,-1,0,-55283,-1643938] 2 127600i2 [0,-1,0,-493908,132575312] 2
127600j (2 curves)	0	2+ 5+ 11- 29+	2+ -2 5+ -2 11-  4  6  4
Curve Equation t 127600j1 [0,1,0,-23383,-1315512] 2 127600j2 [0,1,0,16492,-5303012] 2
127600k (4 curves)	1	2+ 5+ 11- 29-	2+  0 5+  0 11-  2  2  4
Curve Equation t Generators 127600k1 [0,0,0,-12050,-107625] 2 [-85:550:1] 127600k2 [0,0,0,-117175,15345750] 4 [230:750:1] 127600k3 [0,0,0,-44675,34123250] 4 [-2490:165250:27] 127600k4 [0,0,0,-1871675,985584250] 2 [795:250:1]
127600l (2 curves)	1	2+ 5+ 11- 29-	2+  2 5+  2 11-  4  6 -4
Curve Equation t Generators 127600l1 [0,-1,0,-1508,216512] 2 [112:1200:1] 127600l2 [0,-1,0,-64008,6216512] 2 [182:750:1]
127600m (1 curve)	2	2+ 5- 11+ 29+	2+  0 5- -2 11+ -4  0  0
Curve Equation t Generators 127600m1 [0,0,0,2125,71250] 1 [-25:50:1]&[39:462:1]
127600n (1 curve)	0	2+ 5- 11+ 29+	2+  1 5- -4 11+  1  2  5
Curve Equation t 127600n1 [0,1,0,1167,11963] 1
127600o (1 curve)	0	2+ 5- 11+ 29+	2+ -1 5-  4 11+ -1 -2  5
Curve Equation t 127600o1 [0,-1,0,47,77] 1
127600p (2 curves)	0	2+ 5- 11+ 29+	2+  2 5- -2 11+ -4  4 -4
Curve Equation t 127600p1 [0,-1,0,-25803,-1299298] 2 127600p2 [0,-1,0,-391828,-94269648] 2
127600q (2 curves)	0	2+ 5- 11+ 29+	2+ -2 5-  2 11+  4 -4 -4
Curve Equation t 127600q1 [0,1,0,-645083,-163702412] 2 127600q2 [0,1,0,-9795708,-11803297412] 2
127600r (1 curve)	1	2+ 5- 11- 29+	2+  1 5-  2 11- -3  6  0
Curve Equation t Generators 127600r1 [0,1,0,-2208,269588] 1 [-17:550:1]
127600s (2 curves)	0	2- 5+ 11+ 29+	2-  1 5+  2 11+ -1 -2  0
Curve Equation t 127600s1 [0,1,0,-122848,-16615052] 1 127600s2 [0,1,0,649792,-33486412] 1
127600t (4 curves)	0	2- 5+ 11+ 29+	2- -2 5+  2 11+  4 -6  4
Curve Equation t 127600t1 [0,1,0,54992,-151140012] 2 127600t2 [0,1,0,-3945008,-2943140012] 2 127600t3 [0,1,0,-495008,4084959988] 2 127600t4 [0,1,0,-41455008,101651679988] 2
127600u (2 curves)	2	2- 5+ 11+ 29+	2- -2 5+ -2 11+  4 -2 -4
Curve Equation t Generators 127600u1 [0,1,0,1992,3988] 2 [3:100:1]&[23:250:1] 127600u2 [0,1,0,-8008,23988] 2 [-52:550:1]&[-26:464:1]
127600v (1 curve)	0	2- 5+ 11+ 29+	2- -3 5+  4 11+  1  8 -7
Curve Equation t 127600v1 [0,0,0,-53200,4726000] 1
127600w (2 curves)	1	2- 5+ 11+ 29-	2-  1 5+ -4 11+  1  0  1
Curve Equation t Generators 127600w1 [0,1,0,126467,25333063] 1 [543:15950:1] 127600w2 [0,1,0,-4339533,3490949063] 1 [35121:188650:27]
127600x (1 curve)	1	2- 5+ 11+ 29-	2- -1 5+  0 11+  5 -2 -6
Curve Equation t Generators 127600x1 [0,-1,0,-5208,508912] 1 [-87:544:1]
127600y (1 curve)	1	2- 5+ 11+ 29-	2-  2 5+  0 11+  2  4  6
Curve Equation t Generators 127600y1 [0,-1,0,-9688,-2197008] 1 [1458:55506:1]
127600z (2 curves)	1	2- 5+ 11+ 29-	2- -2 5+  2 11+  2 -6 -8
Curve Equation t Generators 127600z1 [0,1,0,-21900033,-39454417562] 2 [171260620186343948:26358407107570493593:6950374784704] 127600z2 [0,1,0,-21884908,-39511620312] 2 [214981403:67171102042:2197]
127600ba (1 curve)	1	2- 5+ 11- 29+	2- -2 5+  3 11-  2  2  0
Curve Equation t Generators 127600ba1 [0,1,0,-12565008,19313619988] 1 [3002286:261226496:343]
127600bb (4 curves)	0	2- 5+ 11- 29-	2-  0 5+  4 11- -2 -2 -4
Curve Equation t 127600bb1 [0,0,0,-50675,-5180750] 2 127600bb2 [0,0,0,-850675,-301980750] 4 127600bb3 [0,0,0,-890675,-272020750] 4 127600bb4 [0,0,0,-13610675,-19327140750] 2
127600bc (1 curve)	0	2- 5+ 11- 29-	2-  1 5+  4 11- -5 -4 -1
Curve Equation t 127600bc1 [0,1,0,-6533,432563] 1
127600bd (2 curves)	2	2- 5+ 11- 29-	2-  1 5+ -4 11-  1 -6 -2
Curve Equation t Generators 127600bd1 [0,1,0,-11008,-457292] 1 [132:638:1]&[234:3136:1] 127600bd2 [0,1,0,46992,-1937452] 1 [319:6754:1]&[2002:90112:1]
127600be (2 curves)	0	2- 5+ 11- 29-	2-  2 5+  2 11-  0 -2  4
Curve Equation t 127600be1 [0,-1,0,-8,-137488] 2 127600be2 [0,-1,0,-40008,-3017488] 2
127600bf (2 curves)	2	2- 5+ 11- 29-	2- -2 5+ -1 11- -2 -6  4
Curve Equation t Generators 127600bf1 [0,1,0,20592,551188] 1 [498:-11600:1]&[63:1450:1] 127600bf2 [0,1,0,-385408,93931188] 1 [362:1408:1]&[428:2750:1]
127600bg (2 curves)	0	2- 5+ 11- 29-	2- -2 5+  2 11-  2  2  0
Curve Equation t 127600bg1 [0,1,0,-34033,-2420562] 2 127600bg2 [0,1,0,-18908,-4568312] 2
127600bh (1 curve)	0	2- 5+ 11- 29-	2- -2 5+ -4 11-  6  4  2
Curve Equation t 127600bh1 [0,1,0,-275208,-117286412] 1
127600bi (1 curve)	0	2- 5+ 11- 29-	2- -3 5+  4 11- -6 -4  2
Curve Equation t 127600bi1 [0,0,0,-14800,694000] 1
127600bj (2 curves)	1	2- 5- 11+ 29+	2- -1 5- -2 11+  1  2  0
Curve Equation t Generators 127600bj1 [0,-1,0,25992,-278288] 1 [2618:52561:8] 127600bj2 [0,-1,0,-3071208,-2070739088] 1 [4448473915222966829898:-1525911991896369778332679:37798417784187208]
127600bk (2 curves)	0	2- 5- 11+ 29-	2-  0 5-  2 11+ -4  2  8
Curve Equation t 127600bk1 [0,0,0,-7555,216450] 2 127600bk2 [0,0,0,-33155,-2113150] 2
127600bl (2 curves)	0	2- 5- 11+ 29-	2-  0 5- -2 11+  4 -2  8
Curve Equation t 127600bl1 [0,0,0,-188875,27056250] 2 127600bl2 [0,0,0,-828875,-264143750] 2
127600bm (1 curve)	2	2- 5- 11+ 29-	2-  1 5-  0 11+ -5  2 -6
Curve Equation t Generators 127600bm1 [0,1,0,-208,3988] 1 [18:80:1]&[12:58:1]
127600bn (2 curves)	0	2- 5- 11+ 29-	2-  2 5- -4 11+ -4  2  4
Curve Equation t 127600bn1 [0,-1,0,-3833,-30088] 2 127600bn2 [0,-1,0,14292,-247588] 2
127600bo (1 curve)	2	2- 5- 11+ 29-	2- -2 5-  0 11+ -2 -4  6
Curve Equation t Generators 127600bo1 [0,1,0,-242208,-275110412] 1 [908:15950:1]&[1227:35728:1]
127600bp (2 curves)	0	2- 5- 11+ 29-	2- -2 5-  4 11+  4 -2  4
Curve Equation t 127600bp1 [0,1,0,-153,-302] 2 127600bp2 [0,1,0,572,-1752] 2
127600bq (1 curve)	2	2- 5- 11- 29+	2-  0 5-  3 11- -6  0 -6
Curve Equation t Generators 127600bq1 [0,0,0,85,-6950] 1 [21:64:1]&[135:1570:1]
127600br (1 curve)	0	2- 5- 11- 29+	2-  0 5- -3 11-  6  0 -6
Curve Equation t 127600br1 [0,0,0,2125,-868750] 1
127600bs (1 curve)	1	2- 5- 11- 29-	2-  0 5-  5 11- -6 -4 -2
Curve Equation t Generators 127600bs1 [0,0,0,-1575875,-851618750] 1 [3150:159500:1]
127600bt (1 curve)	1	2- 5- 11- 29-	2-  0 5- -5 11-  6  4 -2
Curve Equation t Generators 127600bt1 [0,0,0,-63035,-6812950] 1 [949:28072:1]
127600bu (2 curves)	1	2- 5- 11- 29-	2- -1 5-  4 11- -1  6 -2
Curve Equation t Generators 127600bu1 [0,-1,0,-275208,-56611088] 1 [3417:197200:1] 127600bu2 [0,-1,0,1174792,-244531088] 1 [416805:25228816:125]
127600bv (1 curve)	1	2- 5- 11- 29-	2-  2 5-  4 11- -6 -4  2
Curve Equation t Generators 127600bv1 [0,-1,0,-11008,-933888] 1 [402:7710:1]
127600bw (1 curve)	1	2- 5- 11- 29-	2-  3 5-  4 11- -3 -2 -5
Curve Equation t Generators 127600bw1 [0,0,0,-28000,1887500] 1 [-1950:50750:27]
127600bx (1 curve)	1	2- 5- 11- 29-	2- -3 5- -4 11-  3  2 -5
Curve Equation t Generators 127600bx1 [0,0,0,-1120,15100] 1 [50:290:1]

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