Cremona's table of elliptic curves

87600 = 2⁴ · 3 · 5² · 73

Class	r	Atkin-Lehner	Eigenvalues
87600a (1 curve)	1	2+ 3+ 5+ 73+	2+ 3+ 5+  0  0  0  3 -1
Curve Equation t Generators 87600a1 [0,-1,0,-33,1437] 1 [116:1243:1]
87600b (4 curves)	1	2+ 3+ 5+ 73+	2+ 3+ 5+  0  0  6  6 -4
Curve Equation t Generators 87600b1 [0,-1,0,-49308,-4197888] 2 [-21258820:-294424:166375] 87600b2 [0,-1,0,-49808,-4107888] 4 [1102:35750:1] 87600b3 [0,-1,0,23192,-15203888] 2 [111195890:-2134385154:274625] 87600b4 [0,-1,0,-130808,12740112] 2 [-328:4500:1]
87600c (1 curve)	1	2+ 3+ 5+ 73+	2+ 3+ 5+ -2  6 -3 -7  6
Curve Equation t Generators 87600c1 [0,-1,0,-168,912] 1 [8:4:1]
87600d (2 curves)	1	2+ 3+ 5+ 73+	2+ 3+ 5+ -2 -6 -6  2  0
Curve Equation t Generators 87600d1 [0,-1,0,-14908,-694688] 2 [-72:16:1] 87600d2 [0,-1,0,-10408,-1126688] 2 [262:-3750:1]
87600e (2 curves)	1	2+ 3+ 5+ 73+	2+ 3+ 5+  4 -2 -4 -2  0
Curve Equation t Generators 87600e1 [0,-1,0,-1208,6912] 2 [-18:150:1] 87600e2 [0,-1,0,-10208,-389088] 2 [-54:42:1]
87600f (4 curves)	1	2+ 3+ 5+ 73+	2+ 3+ 5+  4 -4  2 -6  4
Curve Equation t Generators 87600f1 [0,-1,0,11217,482562] 2 [1819983970:-28481545604:14706125] 87600f2 [0,-1,0,-66908,4701312] 4 [-2380:305368:125] 87600f3 [0,-1,0,-404408,-95198688] 2 [-2134501610:4432518979:6859000] 87600f4 [0,-1,0,-979408,373351312] 2 [-48:20500:1]
87600g (1 curve)	1	2+ 3+ 5+ 73+	2+ 3+ 5+ -5  0  0  8 -6
Curve Equation t Generators 87600g1 [0,-1,0,4759592,1913191312] 1 [72:47500:1]
87600h (2 curves)	0	2+ 3+ 5+ 73-	2+ 3+ 5+  0  2  2 -8  4
Curve Equation t 87600h1 [0,-1,0,-3168908,2168349312] 2 87600h2 [0,-1,0,-2075408,3686127312] 2
87600i (2 curves)	0	2+ 3+ 5+ 73-	2+ 3+ 5+  4 -4  4  4 -4
Curve Equation t 87600i1 [0,-1,0,-13408,559312] 2 87600i2 [0,-1,0,13592,2503312] 2
87600j (2 curves)	0	2+ 3+ 5+ 73-	2+ 3+ 5+ -4  6  2  0  4
Curve Equation t 87600j1 [0,-1,0,-508,-3488] 2 87600j2 [0,-1,0,992,-21488] 2
87600k (1 curve)	0	2+ 3+ 5- 73+	2+ 3+ 5-  0 -1  4 -2 -6
Curve Equation t 87600k1 [0,-1,0,-1208,-29088] 1
87600l (1 curve)	1	2+ 3+ 5- 73-	2+ 3+ 5-  1  2  1  6 -1
Curve Equation t Generators 87600l1 [0,-1,0,-5037833,-4350753963] 1 [14081631764016493318356:256120522854665698409613:5130373690322037431]
87600m (1 curve)	0	2+ 3- 5+ 73+	2+ 3- 5+ -1  2 -1 -6 -1
Curve Equation t 87600m1 [0,1,0,-201513,-34886637] 1
87600n (2 curves)	0	2+ 3- 5+ 73+	2+ 3- 5+  2  2  2  6  8
Curve Equation t 87600n1 [0,1,0,-12508,418988] 2 87600n2 [0,1,0,27992,2605988] 2
87600o (2 curves)	0	2+ 3- 5+ 73+	2+ 3- 5+ -2  0  0  2 -4
Curve Equation t 87600o1 [0,1,0,-5408,-154812] 2 87600o2 [0,1,0,-4408,-212812] 2
87600p (4 curves)	0	2+ 3- 5+ 73+	2+ 3- 5+  4  4 -2 -2  4
Curve Equation t 87600p1 [0,1,0,-3308,29388] 2 87600p2 [0,1,0,-43808,3512388] 4 87600p3 [0,1,0,-34808,5006388] 2 87600p4 [0,1,0,-700808,225578388] 2
87600q (1 curve)	1	2+ 3- 5+ 73-	2+ 3- 5+  0 -1 -4  2 -6
Curve Equation t Generators 87600q1 [0,1,0,-48,-252] 1 [24:114:1]
87600r (2 curves)	1	2+ 3- 5+ 73-	2+ 3- 5+  0  2  6  0  4
Curve Equation t Generators 87600r1 [0,1,0,1417,18588] 2 [4:156:1] 87600r2 [0,1,0,-7708,164588] 2 [-58:648:1]
87600s (2 curves)	1	2+ 3- 5+ 73-	2+ 3- 5+  2  2  4 -4 -4
Curve Equation t Generators 87600s1 [0,1,0,-808,-7612] 2 [32:18:1] 87600s2 [0,1,0,-3808,82388] 2 [-2:300:1]
87600t (1 curve)	1	2+ 3- 5+ 73-	2+ 3- 5+  2 -2  4  5 -5
Curve Equation t Generators 87600t1 [0,1,0,-8008,283988] 1 [-52:750:1]
87600u (1 curve)	1	2+ 3- 5+ 73-	2+ 3- 5+  2  4 -2  5 -5
Curve Equation t Generators 87600u1 [0,1,0,8567,-160237] 1 [62:783:1]
87600v (2 curves)	1	2+ 3- 5+ 73-	2+ 3- 5+ -2  0 -2  0 -4
Curve Equation t Generators 87600v1 [0,1,0,-708,6588] 2 [2:72:1] 87600v2 [0,1,0,-2208,-32412] 2 [-134:99:8]
87600w (1 curve)	1	2+ 3- 5+ 73-	2+ 3- 5+ -2 -6  0 -7 -1
Curve Equation t Generators 87600w1 [0,1,0,88592,91707188] 1 [1598:-65700:1]
87600x (1 curve)	1	2+ 3- 5+ 73-	2+ 3- 5+ -3 -4  0  0 -2
Curve Equation t Generators 87600x1 [0,1,0,-2408,-64812] 1 [138:1500:1]
87600y (2 curves)	1	2+ 3- 5+ 73-	2+ 3- 5+ -4 -2 -2  8  4
Curve Equation t Generators 87600y1 [0,1,0,-583,-6412] 2 [197342596:-433231404:6539203] 87600y2 [0,1,0,-9708,-371412] 2 [162558:703800:1331]
87600z (1 curve)	0	2+ 3- 5- 73-	2+ 3- 5-  2  6  3  7  6
Curve Equation t 87600z1 [0,1,0,-4208,105588] 1
87600ba (1 curve)	2	2- 3+ 5+ 73+	2- 3+ 5+  1 -2 -3 -6 -1
Curve Equation t Generators 87600ba1 [0,-1,0,67,417] 1 [1:22:1]&[16:73:1]
87600bb (1 curve)	0	2- 3+ 5+ 73+	2- 3+ 5+ -1  2  2 -2  0
Curve Equation t 87600bb1 [0,-1,0,58992,3880512] 1
87600bc (1 curve)	0	2- 3+ 5+ 73+	2- 3+ 5+ -1  4 -4 -4  6
Curve Equation t 87600bc1 [0,-1,0,-7570408,8213011312] 1
87600bd (1 curve)	0	2- 3+ 5+ 73+	2- 3+ 5+  2  2 -4  7  3
Curve Equation t 87600bd1 [0,-1,0,-215008,-38367488] 1
87600be (1 curve)	0	2- 3+ 5+ 73+	2- 3+ 5+  2 -2 -1 -1 -6
Curve Equation t 87600be1 [0,-1,0,4792,588912] 1
87600bf (1 curve)	2	2- 3+ 5+ 73+	2- 3+ 5+ -2 -2  0  3 -1
Curve Equation t Generators 87600bf1 [0,-1,0,23592,-1436688] 1 [57:300:1]&[108:1536:1]
87600bg (4 curves)	0	2- 3+ 5+ 73+	2- 3+ 5+  4  4  6  6 -4
Curve Equation t 87600bg1 [0,-1,0,-3422408,-2435804688] 2 87600bg2 [0,-1,0,-3430408,-2423836688] 4 87600bg3 [0,-1,0,-930408,-5883836688] 2 87600bg4 [0,-1,0,-6058408,1801987312] 2
87600bh (4 curves)	0	2- 3+ 5+ 73+	2- 3+ 5+ -4  0  2  6  4
Curve Equation t 87600bh1 [0,-1,0,-7608,-198288] 2 87600bh2 [0,-1,0,-39608,2873712] 4 87600bh3 [0,-1,0,32392,12089712] 2 87600bh4 [0,-1,0,-623608,189753712] 2
87600bi (1 curve)	0	2- 3+ 5+ 73+	2- 3+ 5+ -4  0 -4 -3  7
Curve Equation t 87600bi1 [0,-1,0,-1222133,-519619863] 1
87600bj (1 curve)	0	2- 3+ 5+ 73+	2- 3+ 5+  5 -4  5 -2  3
Curve Equation t 87600bj1 [0,-1,0,187,-1143] 1
87600bk (1 curve)	1	2- 3+ 5+ 73-	2- 3+ 5+  0  3  0 -6 -2
Curve Equation t Generators 87600bk1 [0,-1,0,774792,1105548912] 1 [1729026:103098042:2197]
87600bl (1 curve)	1	2- 3+ 5+ 73-	2- 3+ 5+ -1  0  1 -2  1
Curve Equation t Generators 87600bl1 [0,-1,0,-12173333,-28991532963] 1 [22955470049513969995593520220285427094074036:1674632077719775443665584988559429310375132583:3072391278396493860498175933821494763087]
87600bm (2 curves)	1	2- 3+ 5+ 73-	2- 3+ 5+  2  4  2  0  4
Curve Equation t Generators 87600bm1 [0,-1,0,-33008,2176512] 2 [-158:1850:1] 87600bm2 [0,-1,0,-519008,144088512] 2 [1786:70078:1]
87600bn (1 curve)	1	2- 3+ 5+ 73-	2- 3+ 5+  2  4  2  3  1
Curve Equation t Generators 87600bn1 [0,-1,0,-2533,-48563] 1 [1802522455764:107126051298703:510082399]
87600bo (1 curve)	1	2- 3+ 5+ 73-	2- 3+ 5+  2  6  4  1  7
Curve Equation t Generators 87600bo1 [0,-1,0,162683992,-4044505488] 1 [218348:231014400:6859]
87600bp (1 curve)	1	2- 3+ 5+ 73-	2- 3+ 5+ -2  2  0 -3 -5
Curve Equation t Generators 87600bp1 [0,-1,0,-453408,163677312] 1 [3306:54675:8]
87600bq (2 curves)	1	2- 3+ 5+ 73-	2- 3+ 5+ -2 -4  6  0  4
Curve Equation t Generators 87600bq1 [0,-1,0,-2208,6912] 2 [2:50:1] 87600bq2 [0,-1,0,-26208,1638912] 2 [98:46:1]
87600br (1 curve)	1	2- 3+ 5+ 73-	2- 3+ 5+  3  0 -3  6  1
Curve Equation t Generators 87600br1 [0,-1,0,587,-2243] 1 [2380:15549:125]
87600bs (1 curve)	1	2- 3+ 5+ 73-	2- 3+ 5+ -3  6 -6  6 -8
Curve Equation t Generators 87600bs1 [0,-1,0,-38008,-2841488] 1 [5322:387950:1]
87600bt (2 curves)	1	2- 3+ 5+ 73-	2- 3+ 5+ -4  0  4 -8  4
Curve Equation t Generators 87600bt1 [0,-1,0,-12008,-313488] 2 [-92:64:1] 87600bt2 [0,-1,0,35992,-2233488] 2 [58:214:1]
87600bu (1 curve)	1	2- 3+ 5- 73+	2- 3+ 5-  4 -4  4 -3 -3
Curve Equation t Generators 87600bu1 [0,-1,0,-88,-3728] 1 [52:360:1]
87600bv (1 curve)	1	2- 3+ 5- 73+	2- 3+ 5- -4  3  2 -6  4
Curve Equation t Generators 87600bv1 [0,-1,0,7292,-233588] 1 [3845:17172:125]
87600bw (1 curve)	1	2- 3+ 5- 73+	2- 3+ 5- -4  5  6  2 -8
Curve Equation t Generators 87600bw1 [0,-1,0,-2508,49212] 1 [33:36:1]
87600bx (1 curve)	0	2- 3+ 5- 73-	2- 3+ 5- -3 -6  7 -2  1
Curve Equation t 87600bx1 [0,-1,0,-21966533,39634301037] 1
87600by (4 curves)	1	2- 3- 5+ 73+	2- 3- 5+  0  0  2  2  4
Curve Equation t Generators 87600by1 [0,1,0,-16408,-800812] 2 [-76:114:1] 87600by2 [0,1,0,-34408,1251188] 4 [524:11286:1] 87600by3 [0,1,0,115592,9351188] 2 [336996:-9272494:729] 87600by4 [0,1,0,-472408,124767188] 2 [858044:12525066:1331]
87600bz (2 curves)	1	2- 3- 5+ 73+	2- 3- 5+  0 -2  0  6  8
Curve Equation t Generators 87600bz1 [0,1,0,-3008,-24012] 2 [-38:192:1] 87600bz2 [0,1,0,-39008,-2976012] 2 [-113:42:1]
87600ca (3 curves)	1	2- 3- 5+ 73+	2- 3- 5+ -1  0  4  0 -2
Curve Equation t Generators 87600ca1 [0,1,0,-5408,-1468812] 1 [178:1800:1] 87600ca2 [0,1,0,48592,39247188] 1 [-62:6000:1] 87600ca3 [0,1,0,-7397408,7743667188] 1 [448854:6000000:343]
87600cb (4 curves)	1	2- 3- 5+ 73+	2- 3- 5+  2  0  4 -6  4
Curve Equation t Generators 87600cb1 [0,1,0,-375208,75761588] 2 [188:3450:1] 87600cb2 [0,1,0,648792,417777588] 2 [-402:9600:1] 87600cb3 [0,1,0,-29175208,60645617588] 2 [1822562:-80932032:343] 87600cb4 [0,1,0,-29159208,60715473588] 2 [-2562:344400:1]
87600cc (2 curves)	1	2- 3- 5+ 73+	2- 3- 5+  2 -6  4  3 -5
Curve Equation t Generators 87600cc1 [0,1,0,-721008,422507988] 1 [2148:93750:1] 87600cc2 [0,1,0,-70471008,227677007988] 1 [5148:36750:1]
87600cd (2 curves)	1	2- 3- 5+ 73+	2- 3- 5+ -2 -4 -4  2 -4
Curve Equation t Generators 87600cd1 [0,1,0,-5208,141588] 2 [-12:450:1] 87600cd2 [0,1,0,-1208,357588] 2 [-2:600:1]
87600ce (1 curve)	1	2- 3- 5+ 73+	2- 3- 5+  3 -6 -7  2  1
Curve Equation t Generators 87600ce1 [0,1,0,-549163333,4953189302963] 1 [110602:478953:8]
87600cf (4 curves)	1	2- 3- 5+ 73+	2- 3- 5+  4 -4  2  2 -4
Curve Equation t Generators 87600cf1 [0,1,0,-135476408,466363279188] 2 [-8708:992898:1] 87600cf2 [0,1,0,-2025044408,35071911631188] 4 [77692:18619902:1] 87600cf3 [0,1,0,-1883132408,40197489247188] 2 [2298228772:560551749282:29791] 87600cf4 [0,1,0,-32400044408,2244731661631188] 2 [14652886108:1398950350398:117649]
87600cg (2 curves)	1	2- 3- 5+ 73+	2- 3- 5+ -4  0  4 -3  1
Curve Equation t Generators 87600cg1 [0,1,0,1067,-10237] 1 [134:1599:1] 87600cg2 [0,1,0,-10933,601763] 1 [15303482:154500177:103823]
87600ch (4 curves)	1	2- 3- 5+ 73+	2- 3- 5+ -4  6  4  6 -8
Curve Equation t Generators 87600ch1 [0,1,0,-778208,-263798412] 2 [-518:768:1] 87600ch2 [0,1,0,-12442208,-16896662412] 2 [5263:251850:1] 87600ch3 [0,1,0,-3856208,2695293588] 2 [3674:255675:8] 87600ch4 [0,1,0,-13072208,-15091586412] 2 [-4244842:103799667:2744]
87600ci (1 curve)	1	2- 3- 5+ 73+	2- 3- 5+ -5  2  2  2  8
Curve Equation t Generators 87600ci1 [0,1,0,-104008,-29008012] 1 [428:2250:1]
87600cj (1 curve)	0	2- 3- 5+ 73-	2- 3- 5+  1  2  6 -2  4
Curve Equation t 87600cj1 [0,1,0,2992,35988] 1
87600ck (2 curves)	0	2- 3- 5+ 73-	2- 3- 5+ -2  2  0  4  4
Curve Equation t 87600ck1 [0,1,0,-445008,-107196012] 2 87600ck2 [0,1,0,-1417008,520715988] 2
87600cl (2 curves)	0	2- 3- 5+ 73-	2- 3- 5+ -2 -2 -4 -4  4
Curve Equation t 87600cl1 [0,1,0,-51808,4342388] 2 87600cl2 [0,1,0,-819808,285430388] 2
87600cm (1 curve)	0	2- 3- 5+ 73-	2- 3- 5+ -2  4  2 -1  7
Curve Equation t 87600cm1 [0,1,0,-1533,-26937] 1
87600cn (2 curves)	0	2- 3- 5+ 73-	2- 3- 5+ -2  6  4 -4 -4
Curve Equation t 87600cn1 [0,1,0,-130408,-11300812] 2 87600cn2 [0,1,0,-1858408,-975524812] 2
87600co (2 curves)	0	2- 3- 5+ 73-	2- 3- 5+ -2 -6  4  0  4
Curve Equation t 87600co1 [0,1,0,-16008,767988] 2 87600co2 [0,1,0,-28008,-552012] 2
87600cp (1 curve)	0	2- 3- 5+ 73-	2- 3- 5+  4  3 -2  6  4
Curve Equation t 87600cp1 [0,1,0,292,-1752] 1
87600cq (1 curve)	0	2- 3- 5+ 73-	2- 3- 5+  4  5 -6 -2 -8
Curve Equation t 87600cq1 [0,1,0,-62708,6026088] 1
87600cr (1 curve)	0	2- 3- 5- 73+	2- 3- 5-  0  3  0  6 -2
Curve Equation t 87600cr1 [0,1,0,30992,8856788] 1
87600cs (1 curve)	0	2- 3- 5- 73+	2- 3- 5-  1  0 -1  2  1
Curve Equation t 87600cs1 [0,1,0,-486933,-232127037] 1
87600ct (1 curve)	0	2- 3- 5- 73+	2- 3- 5- -3  0  3 -6  1
Curve Equation t 87600ct1 [0,1,0,14667,-251037] 1
87600cu (1 curve)	1	2- 3- 5- 73-	2- 3- 5- -1 -2  3  6 -1
Curve Equation t Generators 87600cu1 [0,1,0,1667,55463] 1 [-17:150:1]
87600cv (1 curve)	1	2- 3- 5- 73-	2- 3- 5- -2 -2  1  1 -6
Curve Equation t Generators 87600cv1 [0,1,0,192,4788] 1 [18:120:1]
87600cw (1 curve)	1	2- 3- 5- 73-	2- 3- 5- -4 -4 -4  3 -3
Curve Equation t Generators 87600cw1 [0,1,0,-2208,-470412] 1 [108:750:1]
87600cx (1 curve)	1	2- 3- 5- 73-	2- 3- 5- -5 -4 -5  2  3
Curve Equation t Generators 87600cx1 [0,1,0,4667,-133537] 1 [47:438:1]

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