Cremona's table of elliptic curves

129200 = 2⁴ · 5² · 17 · 19

Class	r	Atkin-Lehner	Eigenvalues
129200a (1 curve)	1	2+ 5+ 17+ 19+	2+  0 5+ -2 -2 -6 17+ 19+
Curve Equation t Generators 129200a1 [0,0,0,20,60] 1 [1:9:1]
129200b (4 curves)	1	2+ 5+ 17+ 19+	2+  0 5+  4  4 -6 17+ 19+
Curve Equation t Generators 129200b1 [0,0,0,-1098050,426539875] 2 [1009965:7319350:1331] 129200b2 [0,0,0,-17388175,27907980750] 4 [2961409440593:-1051268975064:1235376017] 129200b3 [0,0,0,-17207675,28515724250] 2 [26395:4238350:1] 129200b4 [0,0,0,-278210675,1786112453250] 4 [-1184535:1089575900:729]
129200c (1 curve)	1	2+ 5+ 17+ 19+	2+ -1 5+  2  2  6 17+ 19+
Curve Equation t Generators 129200c1 [0,-1,0,-9033,-327563] 1 [23795044:2476155475:2197]
129200d (2 curves)	1	2+ 5+ 17+ 19+	2+ -2 5+  2  4 -2 17+ 19+
Curve Equation t Generators 129200d1 [0,1,0,-1408,13188] 2 [8:50:1] 129200d2 [0,1,0,-20408,1115188] 2 [84:26:1]
129200e (1 curve)	1	2+ 5+ 17+ 19+	2+  3 5+  4  1  0 17+ 19+
Curve Equation t Generators 129200e1 [0,0,0,-73675,-35035750] 1 [8771745143295:800579140156250:1051871913]
129200f (1 curve)	0	2+ 5+ 17+ 19-	2+ -1 5+  4  2 -4 17+ 19-
Curve Equation t 129200f1 [0,-1,0,417,10162] 1
129200g (1 curve)	0	2+ 5+ 17+ 19-	2+  2 5+ -5  2  5 17+ 19-
Curve Equation t 129200g1 [0,-1,0,-83008,-11317113] 1
129200h (1 curve)	0	2+ 5+ 17+ 19-	2+ -2 5+ -1  6 -1 17+ 19-
Curve Equation t 129200h1 [0,1,0,4992,245863] 1
129200i (2 curves)	2	2+ 5+ 17- 19+	2+  0 5+  2 -6  2 17- 19+
Curve Equation t Generators 129200i1 [0,0,0,-4175,96750] 2 [-55:400:1]&[29:8:1] 129200i2 [0,0,0,-13675,-501750] 2 [-74:324:1]&[-45:150:1]
129200j (1 curve)	0	2+ 5+ 17- 19+	2+ -1 5+  2 -2 -6 17- 19+
Curve Equation t 129200j1 [0,-1,0,-153,-683] 1
129200k (2 curves)	0	2+ 5+ 17- 19+	2+  2 5+ -4  4  0 17- 19+
Curve Equation t 129200k1 [0,-1,0,-11883,502262] 2 129200k2 [0,-1,0,-9508,706512] 2
129200l (2 curves)	2	2+ 5+ 17- 19+	2+ -2 5+  0  0 -2 17- 19+
Curve Equation t Generators 129200l1 [0,1,0,17,1788] 2 [4:44:1]&[8:50:1] 129200l2 [0,1,0,-2108,35788] 2 [-53:38:1]&[-2:200:1]
129200m (2 curves)	2	2+ 5+ 17- 19+	2+ -2 5+ -4  4  2 17- 19+
Curve Equation t Generators 129200m1 [0,1,0,-3383,-89012] 2 [84:476:1]&[88:550:1] 129200m2 [0,1,0,-56508,-5189012] 2 [-138:8:1]&[3074:169936:1]
129200n (2 curves)	1	2+ 5+ 17- 19-	2+  0 5+  0  0 -4 17- 19-
Curve Equation t Generators 129200n1 [0,0,0,-550,-2625] 2 [2180:8625:64] 129200n2 [0,0,0,1825,-19250] 2 [30:250:1]
129200o (2 curves)	1	2+ 5+ 17- 19-	2+  0 5+  2 -2 -2 17- 19-
Curve Equation t Generators 129200o1 [0,0,0,-55339175,-158451784250] 2 [3799124820170351687449910121549570:699434631277929084134597370107529700:106791694865955150779092087449] 129200o2 [0,0,0,-55348675,-158394660750] 2 [22197493069376405:8324700808725518850:157376536199]
129200p (1 curve)	1	2+ 5+ 17- 19-	2+  0 5+ -3 -2  3 17- 19-
Curve Equation t Generators 129200p1 [0,0,0,-4175,105125] 1 [-20:425:1]
129200q (1 curve)	1	2+ 5+ 17- 19-	2+ -1 5+ -2 -2  0 17- 19-
Curve Equation t Generators 129200q1 [0,-1,0,-328,3392] 1 [-4:68:1]
129200r (1 curve)	1	2+ 5+ 17- 19-	2+ -1 5+  4 -2 -6 17- 19-
Curve Equation t Generators 129200r1 [0,-1,0,-1469633,735774637] 1 [612:8075:1]
129200s (2 curves)	1	2+ 5+ 17- 19-	2+  2 5+  0  4  0 17- 19-
Curve Equation t Generators 129200s1 [0,-1,0,-243883,85691262] 2 [51306:4096875:8] 129200s2 [0,-1,0,-4759508,3996222512] 2 [-2012:73644:1]
129200t (1 curve)	1	2+ 5+ 17- 19-	2+  2 5+  1  2  1 17- 19-
Curve Equation t Generators 129200t1 [0,-1,0,-1908,-31813] 1 [1425207:16812125:9261]
129200u (2 curves)	1	2+ 5+ 17- 19-	2+ -2 5+ -4  0  2 17- 19-
Curve Equation t Generators 129200u1 [0,1,0,-2908,46188] 2 [-58:152:1] 129200u2 [0,1,0,6592,293188] 2 [48:-850:1]
129200v (1 curve)	0	2+ 5- 17+ 19+	2+  1 5-  0 -5  6 17+ 19+
Curve Equation t 129200v1 [0,1,0,-179528,-29436652] 1
129200w (1 curve)	0	2+ 5- 17+ 19+	2+  1 5- -2 -2  6 17+ 19+
Curve Equation t 129200w1 [0,1,0,-3833,-93037] 1
129200x (1 curve)	0	2+ 5- 17+ 19+	2+ -2 5- -3  4  3 17+ 19+
Curve Equation t 129200x1 [0,1,0,3292,-55037] 1
129200y (1 curve)	1	2+ 5- 17+ 19-	2+  1 5-  2 -2  0 17+ 19-
Curve Equation t Generators 129200y1 [0,1,0,-8208,407588] 1 [22:488:1]
129200z (1 curve)	1	2+ 5- 17- 19+	2+  0 5-  2 -2  6 17- 19+
Curve Equation t Generators 129200z1 [0,0,0,500,7500] 1 [-257491:788169:24389]
129200ba (1 curve)	1	2+ 5- 17- 19+	2+ -1 5-  0 -5 -6 17- 19+
Curve Equation t Generators 129200ba1 [0,-1,0,-4488208,-3670605088] 1 [2842:80750:1]
129200bb (1 curve)	1	2+ 5- 17- 19+	2+  2 5-  3  4 -3 17- 19+
Curve Equation t Generators 129200bb1 [0,-1,0,132,-493] 1 [1307:47235:1]
129200bc (1 curve)	0	2+ 5- 17- 19-	2+  1 5- -4  2  4 17- 19-
Curve Equation t 129200bc1 [0,1,0,17,88] 1
129200bd (1 curve)	0	2- 5+ 17+ 19+	2-  0 5+  1 -2  1 17+ 19+
Curve Equation t 129200bd1 [0,0,0,-8275325,9192710875] 1
129200be (1 curve)	0	2- 5+ 17+ 19+	2-  0 5+ -2 -2 -2 17+ 19+
Curve Equation t 129200be1 [0,0,0,-4000,-97380] 1
129200bf (4 curves)	0	2- 5+ 17+ 19+	2-  0 5+ -4 -4  2 17+ 19+
Curve Equation t 129200bf1 [0,0,0,-281075,2755250] 2 129200bf2 [0,0,0,-3169075,2165867250] 4 129200bf3 [0,0,0,-1877075,3947535250] 2 129200bf4 [0,0,0,-50669075,138823367250] 2
129200bg (1 curve)	0	2- 5+ 17+ 19+	2-  0 5+  5  2 -1 17+ 19+
Curve Equation t 129200bg1 [0,0,0,175,375] 1
129200bh (1 curve)	0	2- 5+ 17+ 19+	2-  1 5+  0  2 -4 17+ 19+
Curve Equation t 129200bh1 [0,1,0,-5488,-173612] 1
129200bi (2 curves)	0	2- 5+ 17+ 19+	2-  1 5+  2  0  4 17+ 19+
Curve Equation t 129200bi1 [0,1,0,-1418333,-650635162] 1 129200bi2 [0,1,0,-568333,-1418397662] 1
129200bj (2 curves)	0	2- 5+ 17+ 19+	2-  1 5+  2 -6 -2 17+ 19+
Curve Equation t 129200bj1 [0,1,0,-3533,-168937] 1 129200bj2 [0,1,0,30467,3571063] 1
129200bk (1 curve)	2	2- 5+ 17+ 19+	2-  1 5+ -4  6 -4 17+ 19+
Curve Equation t Generators 129200bk1 [0,1,0,-1368,19028] 1 [22:8:1]&[52:302:1]
129200bl (4 curves)	0	2- 5+ 17+ 19+	2- -2 5+  2  0 -2 17+ 19+
Curve Equation t 129200bl1 [0,1,0,-61208,-4162412] 2 129200bl2 [0,1,0,-365208,81565588] 2 129200bl3 [0,1,0,-1829208,951373588] 2 129200bl4 [0,1,0,-29265208,60926469588] 2
129200bm (2 curves)	0	2- 5+ 17+ 19+	2- -2 5+ -2  4  2 17+ 19+
Curve Equation t 129200bm1 [0,1,0,-9033,-18062] 2 129200bm2 [0,1,0,36092,-108312] 2
129200bn (1 curve)	0	2- 5+ 17+ 19+	2- -2 5+ -3  2 -1 17+ 19+
Curve Equation t 129200bn1 [0,1,0,742,-22637] 1
129200bo (1 curve)	0	2- 5+ 17+ 19+	2- -3 5+  4 -2  4 17+ 19+
Curve Equation t 129200bo1 [0,0,0,947645,374715970] 1
129200bp (4 curves)	1	2- 5+ 17+ 19-	2-  0 5+  4  0  2 17+ 19-
Curve Equation t Generators 129200bp1 [0,0,0,-1280675,-557830750] 2 [20943513423:-6060711827456:250047] 129200bp2 [0,0,0,-1312675,-528486750] 4 [963369:4868864:729] 129200bp3 [0,0,0,1575325,-2529870750] 2 [973713114:7614854884:970299] 129200bp4 [0,0,0,-4712675,3350913250] 2 [3169:142272:1]
129200bq (1 curve)	1	2- 5+ 17+ 19-	2-  1 5+ -2 -2  2 17+ 19-
Curve Equation t Generators 129200bq1 [0,1,0,-133,-34637] 1 [85566:316675:2197]
129200br (1 curve)	1	2- 5+ 17+ 19-	2-  1 5+ -2 -4  0 17+ 19-
Curve Equation t Generators 129200br1 [0,1,0,-133,-722] 1 [114:1216:1]
129200bs (1 curve)	1	2- 5+ 17+ 19-	2-  3 5+ -2  0 -4 17+ 19-
Curve Equation t Generators 129200bs1 [0,0,0,-55000,-5865625] 1 [232763452030249216177668991013829512090524098015:1315677097152683814394526041661367910924721418364:800882740869133108537488756749588547109473375]
129200bt (2 curves)	1	2- 5+ 17- 19+	2-  0 5+ -2  2  6 17- 19+
Curve Equation t Generators 129200bt1 [0,0,0,-162275,-25086750] 2 [-645890:718675:2744] 129200bt2 [0,0,0,-2594275,-1608318750] 2 [-12535697762:29769699:13481272]
129200bu (2 curves)	1	2- 5+ 17- 19+	2-  0 5+ -2 -2 -2 17- 19+
Curve Equation t Generators 129200bu1 [0,0,0,-26237075,51623335250] 2 [-1031:278528:1] 129200bu2 [0,0,0,-35965075,9880487250] 2 [-1506:246228:1]
129200bv (2 curves)	1	2- 5+ 17- 19+	2-  0 5+ -2 -4 -6 17- 19+
Curve Equation t Generators 129200bv1 [0,0,0,-50075,4306250] 2 [61:1216:1] 129200bv2 [0,0,0,-34075,7106250] 2 [111:2166:1]
129200bw (1 curve)	1	2- 5+ 17- 19+	2-  1 5+  4  5 -4 17- 19+
Curve Equation t Generators 129200bw1 [0,1,0,161992,43963988] 1 [-52:5950:1]
129200bx (2 curves)	1	2- 5+ 17- 19+	2-  1 5+ -4  3  4 17- 19+
Curve Equation t Generators 129200bx1 [0,1,0,6592,363188] 1 [98:1400:1] 129200bx2 [0,1,0,-259408,50903188] 1 [18:6800:1]
129200by (1 curve)	1	2- 5+ 17- 19+	2-  1 5+ -5 -4 -7 17- 19+
Curve Equation t Generators 129200by1 [0,1,0,152,-2252] 1 [12:38:1]
129200bz (1 curve)	1	2- 5+ 17- 19+	2- -1 5+  1 -4  5 17- 19+
Curve Equation t Generators 129200bz1 [0,-1,0,-13855208,19931308912] 1 [2066:-10982:1]
129200ca (1 curve)	1	2- 5+ 17- 19+	2- -1 5+  4  2  2 17- 19+
Curve Equation t Generators 129200ca1 [0,-1,0,-122133,17028637] 1 [161388:648575:729]
129200cb (1 curve)	1	2- 5+ 17- 19+	2-  3 5+  4  2 -6 17- 19+
Curve Equation t Generators 129200cb1 [0,0,0,-18400,-2218000] 1 [1766955:452017675:27]
129200cc (1 curve)	1	2- 5+ 17- 19+	2- -3 5+ -2 -2 -2 17- 19+
Curve Equation t Generators 129200cc1 [0,0,0,-40,1180] 1 [6:-34:1]
129200cd (2 curves)	0	2- 5+ 17- 19-	2-  0 5+  2 -2  2 17- 19-
Curve Equation t 129200cd1 [0,0,0,-44075,2620250] 2 129200cd2 [0,0,0,-652075,202652250] 2
129200ce (2 curves)	2	2- 5+ 17- 19-	2-  0 5+ -2  0 -4 17- 19-
Curve Equation t Generators 129200ce1 [0,0,0,-12200,518375] 2 [-35:950:1]&[61:34:1] 129200ce2 [0,0,0,-14575,302250] 2 [210:2550:1]&[370:6750:1]
129200cf (2 curves)	0	2- 5+ 17- 19-	2-  1 5+  2 -2  4 17- 19-
Curve Equation t 129200cf1 [0,1,0,24752,-2065772] 1 129200cf2 [0,1,0,-2200208,1261613588] 1
129200cg (2 curves)	0	2- 5+ 17- 19-	2-  1 5+  2 -2 -6 17- 19-
Curve Equation t 129200cg1 [0,1,0,-48773,-4162957] 1 129200cg2 [0,1,0,296667,5522963] 1
129200ch (1 curve)	0	2- 5+ 17- 19-	2-  1 5+  4 -2 -6 17- 19-
Curve Equation t 129200ch1 [0,1,0,267,-337] 1
129200ci (1 curve)	0	2- 5+ 17- 19-	2- -1 5+  0 -2 -2 17- 19-
Curve Equation t 129200ci1 [0,-1,0,-400933,-97580263] 1
129200cj (2 curves)	0	2- 5+ 17- 19-	2-  2 5+  0  4 -2 17- 19-
Curve Equation t 129200cj1 [0,-1,0,-30808,368112] 2 129200cj2 [0,-1,0,121192,2800112] 2
129200ck (2 curves)	0	2- 5+ 17- 19-	2- -2 5+  4 -2  6 17- 19-
Curve Equation t 129200ck1 [0,1,0,-96408,-11496812] 2 129200ck2 [0,1,0,-1540408,-736384812] 2
129200cl (2 curves)	0	2- 5+ 17- 19-	2- -2 5+ -4  4  6 17- 19-
Curve Equation t 129200cl1 [0,1,0,-86008,-9708012] 2 129200cl2 [0,1,0,-48008,-18296012] 2
129200cm (1 curve)	0	2- 5+ 17- 19-	2-  3 5+  1  0  5 17- 19-
Curve Equation t 129200cm1 [0,0,0,-23335,-1372030] 1
129200cn (1 curve)	0	2- 5+ 17- 19-	2-  3 5+  4  3 -4 17- 19-
Curve Equation t 129200cn1 [0,0,0,-775075,297625250] 1
129200co (1 curve)	2	2- 5+ 17- 19-	2- -3 5+ -2 -6 -4 17- 19-
Curve Equation t Generators 129200co1 [0,0,0,125,130] 1 [-1:2:1]&[1:16:1]
129200cp (1 curve)	1	2- 5- 17+ 19+	2-  1 5-  0 -3  6 17+ 19+
Curve Equation t Generators 129200cp1 [0,1,0,-374688,144083828] 1 [-542:13720:1]
129200cq (1 curve)	1	2- 5- 17+ 19+	2-  1 5- -1 -4 -5 17+ 19+
Curve Equation t Generators 129200cq1 [0,1,0,-554208,159228788] 1 [124:9614:1]
129200cr (1 curve)	1	2- 5- 17+ 19+	2- -1 5-  5 -4  7 17+ 19+
Curve Equation t Generators 129200cr1 [0,-1,0,3792,-289088] 1 [2266:107882:1]
129200cs (1 curve)	1	2- 5- 17+ 19+	2-  3 5-  2 -2  2 17+ 19+
Curve Equation t Generators 129200cs1 [0,0,0,-1000,147500] 1 [2550:25550:27]
129200ct (2 curves)	2	2- 5- 17+ 19-	2- -1 5- -2 -2 -4 17+ 19-
Curve Equation t Generators 129200ct1 [0,-1,0,-88008,10128112] 1 [-278:3610:1]&[-12:3344:1] 129200ct2 [0,-1,0,618792,-259459088] 1 [492:12800:1]&[642:20050:1]
129200cu (2 curves)	0	2- 5- 17+ 19-	2- -1 5- -2 -2  6 17+ 19-
Curve Equation t 129200cu1 [0,-1,0,11867,39437] 1 129200cu2 [0,-1,0,-1219333,-517930963] 1
129200cv (1 curve)	0	2- 5- 17+ 19-	2-  2 5- -1  0  5 17+ 19-
Curve Equation t 129200cv1 [0,-1,0,-458,6287] 1
129200cw (1 curve)	0	2- 5- 17+ 19-	2-  3 5-  0 -1  2 17+ 19-
Curve Equation t 129200cw1 [0,0,0,5,-1750] 1
129200cx (1 curve)	0	2- 5- 17+ 19-	2-  3 5-  2 -6  4 17+ 19-
Curve Equation t 129200cx1 [0,0,0,3125,16250] 1
129200cy (1 curve)	0	2- 5- 17+ 19-	2- -3 5- -1  0 -5 17+ 19-
Curve Equation t 129200cy1 [0,0,0,-583375,-171503750] 1
129200cz (1 curve)	0	2- 5- 17- 19+	2-  0 5-  2 -2  2 17- 19+
Curve Equation t 129200cz1 [0,0,0,-100000,-12172500] 1
129200da (1 curve)	0	2- 5- 17- 19+	2- -1 5-  0  2  4 17- 19+
Curve Equation t 129200da1 [0,-1,0,-137208,-21427088] 1
129200db (1 curve)	0	2- 5- 17- 19+	2- -1 5-  0 -3 -6 17- 19+
Curve Equation t 129200db1 [0,-1,0,-9367208,18029212912] 1
129200dc (2 curves)	0	2- 5- 17- 19+	2- -1 5- -2  0 -4 17- 19+
Curve Equation t 129200dc1 [0,-1,0,-56733,-5182388] 1 129200dc2 [0,-1,0,-22733,-11338088] 1
129200dd (1 curve)	0	2- 5- 17- 19+	2- -1 5-  4  6  4 17- 19+
Curve Equation t 129200dd1 [0,-1,0,-34208,2446912] 1
129200de (1 curve)	0	2- 5- 17- 19+	2-  3 5- -4 -2 -4 17- 19+
Curve Equation t 129200de1 [0,0,0,23691125,46839496250] 1
129200df (1 curve)	1	2- 5- 17- 19-	2- -1 5-  2 -4  0 17- 19-
Curve Equation t Generators 129200df1 [0,-1,0,-3333,-83588] 1 [1788:75544:1]
129200dg (1 curve)	1	2- 5- 17- 19-	2- -2 5-  1  0 -5 17- 19-
Curve Equation t Generators 129200dg1 [0,1,0,-18,43] 1 [3:5:1]
129200dh (1 curve)	1	2- 5- 17- 19-	2- -3 5-  0 -1 -2 17- 19-
Curve Equation t Generators 129200dh1 [0,0,0,125,-218750] 1 [375:7250:1]
129200di (1 curve)	1	2- 5- 17- 19-	2- -3 5-  2  0  4 17- 19-
Curve Equation t Generators 129200di1 [0,0,0,-2200,-46925] 1 [141:1564:1]

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