Cremona's table of elliptic curves

84600 = 2³ · 3² · 5² · 47

Class	r	Atkin-Lehner	Eigenvalues
84600a (1 curve)	1	2+ 3+ 5+ 47+	2+ 3+ 5+  1  6 -1 -4 -4
Curve Equation t Generators 84600a1 [0,0,0,-154035,-2535570] 1 [-54901932:846964809:3241792]
84600b (1 curve)	1	2+ 3+ 5+ 47+	2+ 3+ 5+  1 -6 -1  5  5
Curve Equation t Generators 84600b1 [0,0,0,-34431075,77763192750] 1 [3279:10908:1]
84600c (2 curves)	1	2+ 3+ 5+ 47+	2+ 3+ 5+ -4  0 -4 -6 -4
Curve Equation t Generators 84600c1 [0,0,0,-1050,-12375] 2 [-20:25:1] 84600c2 [0,0,0,825,-51750] 2 [55:400:1]
84600d (1 curve)	2	2+ 3+ 5+ 47-	2+ 3+ 5+ -3 -2  1 -3 -1
Curve Equation t Generators 84600d1 [0,0,0,-675,16750] 1 [15:-100:1]&[-10:150:1]
84600e (1 curve)	0	2+ 3+ 5+ 47-	2+ 3+ 5+ -4  3 -2 -4  6
Curve Equation t 84600e1 [0,0,0,45,-370] 1
84600f (1 curve)	0	2+ 3+ 5- 47+	2+ 3+ 5- -1 -6  1 -4 -4
Curve Equation t 84600f1 [0,0,0,-427875,11738750] 1
84600g (2 curves)	1	2+ 3+ 5- 47-	2+ 3+ 5-  2 -4  2  2 -6
Curve Equation t Generators 84600g1 [0,0,0,-4875,-106250] 2 [1151:38976:1] 84600g2 [0,0,0,10125,-631250] 2 [393918:13397768:343]
84600h (2 curves)	1	2+ 3+ 5- 47-	2+ 3+ 5- -2  4 -2  2 -6
Curve Equation t Generators 84600h1 [0,0,0,-1755,22950] 2 [10:80:1] 84600h2 [0,0,0,3645,136350] 2 [226:3536:1]
84600i (1 curve)	1	2+ 3+ 5- 47-	2+ 3+ 5-  4 -3  2 -4  6
Curve Equation t Generators 84600i1 [0,0,0,10125,1248750] 1 [-4146402:144736686:148877]
84600j (1 curve)	0	2+ 3- 5+ 47+	2+ 3- 5+ -1  3 -1  0 -7
Curve Equation t 84600j1 [0,0,0,-198675,34026750] 1
84600k (1 curve)	0	2+ 3- 5+ 47+	2+ 3- 5+ -1 -6  2  3  8
Curve Equation t 84600k1 [0,0,0,45,135] 1
84600l (4 curves)	1	2+ 3- 5+ 47-	2+ 3- 5+  0  4 -2  6 -4
Curve Equation t Generators 84600l1 [0,0,0,-97050,11622625] 2 [-220:4725:1] 84600l2 [0,0,0,-125175,4338250] 4 [-6315:123200:27] 84600l3 [0,0,0,482325,34105750] 2 [6839:568512:1] 84600l4 [0,0,0,-1182675,-491629250] 2 [-66981840:-174845825:110592]
84600m (1 curve)	1	2+ 3- 5+ 47-	2+ 3- 5+  0 -5  4 -3 -7
Curve Equation t Generators 84600m1 [0,0,0,-248835,-47776610] 1 [71853356263273086:1004590587590206622:106962180662709]
84600n (1 curve)	1	2+ 3- 5+ 47-	2+ 3- 5+  1  0  3 -4  4
Curve Equation t Generators 84600n1 [0,0,0,-435,110] 1 [2:9:8]
84600o (1 curve)	1	2+ 3- 5+ 47-	2+ 3- 5+  1  1  4 -4 -6
Curve Equation t Generators 84600o1 [0,0,0,-18300,-911500] 1 [-86:162:1]
84600p (1 curve)	1	2+ 3- 5+ 47-	2+ 3- 5+  2  0 -5 -4  0
Curve Equation t Generators 84600p1 [0,0,0,-23700,-1721500] 1 [520:11250:1]
84600q (2 curves)	1	2+ 3- 5+ 47-	2+ 3- 5+  2  6 -2  2  0
Curve Equation t Generators 84600q1 [0,0,0,-18075,2987750] 2 [-145:1600:1] 84600q2 [0,0,0,-441075,112544750] 2 [1970:83000:1]
84600r (1 curve)	1	2+ 3- 5+ 47-	2+ 3- 5+ -2  2 -1 -2 -2
Curve Equation t Generators 84600r1 [0,0,0,-300,-119500] 1 [70:450:1]
84600s (1 curve)	1	2+ 3- 5+ 47-	2+ 3- 5+  3  4 -2  3  2
Curve Equation t Generators 84600s1 [0,0,0,-1875,-115625] 1 [56262813:388402957:658503]
84600t (4 curves)	1	2+ 3- 5+ 47-	2+ 3- 5+  4 -4  2 -2  4
Curve Equation t Generators 84600t1 [0,0,0,-4283175,3411904250] 2 [-1010:81900:1] 84600t2 [0,0,0,-4287675,3404375750] 4 [-346570:28086500:343] 84600t3 [0,0,0,-2172675,6765110750] 2 [3186227784043460:-260361277925000175:465124092992] 84600t4 [0,0,0,-6474675,-438183250] 2 [218210:35880975:8]
84600u (1 curve)	1	2+ 3- 5+ 47-	2+ 3- 5+  5  0 -5  2  0
Curve Equation t Generators 84600u1 [0,0,0,-112035,-14433730] 1 [-880541567878:6678635913:4557782312]
84600v (1 curve)	1	2+ 3- 5- 47+	2+ 3- 5-  1  4 -1  3  5
Curve Equation t Generators 84600v1 [0,0,0,-55155,-5046050] 1 [3495:206140:1]
84600w (1 curve)	1	2+ 3- 5- 47+	2+ 3- 5- -1 -4  5 -1  1
Curve Equation t Generators 84600w1 [0,0,0,4605,87950] 1 [79:972:1]
84600x (1 curve)	1	2+ 3- 5- 47+	2+ 3- 5-  4 -2 -1  0  8
Curve Equation t Generators 84600x1 [0,0,0,-583500,171812500] 1 [500:2250:1]
84600y (1 curve)	0	2+ 3- 5- 47-	2+ 3- 5-  1  1 -1  6 -1
Curve Equation t 84600y1 [0,0,0,-307875,-63031250] 1
84600z (2 curves)	0	2+ 3- 5- 47-	2+ 3- 5-  2  2  2  2  0
Curve Equation t 84600z1 [0,0,0,30165,144020950] 2 84600z2 [0,0,0,-3946035,2955194350] 2
84600ba (2 curves)	0	2+ 3- 5- 47-	2+ 3- 5-  4  0  6 -6 -2
Curve Equation t 84600ba1 [0,0,0,-2055,-35750] 2 84600ba2 [0,0,0,-1155,-67250] 2
84600bb (1 curve)	0	2+ 3- 5- 47-	2+ 3- 5-  5  5 -1  2  3
Curve Equation t 84600bb1 [0,0,0,-11235,458350] 1
84600bc (1 curve)	0	2- 3+ 5+ 47+	2- 3+ 5+ -3  2  1  3 -1
Curve Equation t 84600bc1 [0,0,0,-6075,-452250] 1
84600bd (1 curve)	0	2- 3+ 5+ 47+	2- 3+ 5+ -4 -3 -2  4  6
Curve Equation t 84600bd1 [0,0,0,405,9990] 1
84600be (1 curve)	1	2- 3+ 5+ 47-	2- 3+ 5+  1  6 -1 -5  5
Curve Equation t Generators 84600be1 [0,0,0,-3825675,-2880118250] 1 [8873270:1422975000:343]
84600bf (1 curve)	1	2- 3+ 5+ 47-	2- 3+ 5+  1 -6 -1  4 -4
Curve Equation t Generators 84600bf1 [0,0,0,-17115,93910] 1 [-302:6627:8]
84600bg (2 curves)	1	2- 3+ 5+ 47-	2- 3+ 5+ -4  0 -4  6 -4
Curve Equation t Generators 84600bg1 [0,0,0,-9450,334125] 2 [-90:675:1] 84600bg2 [0,0,0,7425,1397250] 2 [45:-1350:1]
84600bh (2 curves)	1	2- 3+ 5- 47+	2- 3+ 5-  2  4  2 -2 -6
Curve Equation t Generators 84600bh1 [0,0,0,-43875,2868750] 2 [2685441:46371312:6859] 84600bh2 [0,0,0,91125,17043750] 2 [25554976022:716251779854:83453453]
84600bi (2 curves)	1	2- 3+ 5- 47+	2- 3+ 5- -2 -4 -2 -2 -6
Curve Equation t Generators 84600bi1 [0,0,0,-195,-850] 2 [-10:10:1] 84600bi2 [0,0,0,405,-5050] 2 [14:58:1]
84600bj (1 curve)	1	2- 3+ 5- 47+	2- 3+ 5-  4  3  2  4  6
Curve Equation t Generators 84600bj1 [0,0,0,1125,-46250] 1 [26:24:1]
84600bk (1 curve)	0	2- 3+ 5- 47-	2- 3+ 5- -1  6  1  4 -4
Curve Equation t 84600bk1 [0,0,0,-3850875,-316946250] 1
84600bl (4 curves)	1	2- 3- 5+ 47+	2- 3- 5+  0  0 -2  2 -8
Curve Equation t Generators 84600bl1 [0,0,0,63825,-3676750] 2 [61:666:1] 84600bl2 [0,0,0,-300675,-31743250] 4 [12211:1347984:1] 84600bl3 [0,0,0,-2325675,1343231750] 2 [148959362:-16359712578:12167] 84600bl4 [0,0,0,-4107675,-3202974250] 2 [130720678:14272339707:10648]
84600bm (1 curve)	1	2- 3- 5+ 47+	2- 3- 5+  1 -5  4 -4 -2
Curve Equation t Generators 84600bm1 [0,0,0,-1029900,-402221500] 1 [-783376:319302:1331]
84600bn (1 curve)	1	2- 3- 5+ 47+	2- 3- 5+ -2 -2  1  2 -2
Curve Equation t Generators 84600bn1 [0,0,0,-1364700,613626500] 1 [680:250:1]
84600bo (1 curve)	1	2- 3- 5+ 47+	2- 3- 5+ -3 -1  2  2  2
Curve Equation t Generators 84600bo1 [0,0,0,-221700,38000500] 1 [-124:7974:1]
84600bp (2 curves)	1	2- 3- 5+ 47+	2- 3- 5+  4  4 -2  2 -2
Curve Equation t Generators 84600bp1 [0,0,0,2625,13250] 2 [1:126:1] 84600bp2 [0,0,0,-10875,107750] 2 [451:9324:1]
84600bq (2 curves)	0	2- 3- 5+ 47-	2- 3- 5+  0  2 -4  2  8
Curve Equation t 84600bq1 [0,0,0,-98501475,-479119387250] 2 84600bq2 [0,0,0,-1692824475,-26806175086250] 2
84600br (2 curves)	0	2- 3- 5+ 47-	2- 3- 5+  0  6  0 -6 -4
Curve Equation t 84600br1 [0,0,0,1725,-103250] 2 84600br2 [0,0,0,-25275,-1426250] 2
84600bs (1 curve)	0	2- 3- 5+ 47-	2- 3- 5+  1 -3 -1  4 -1
Curve Equation t 84600bs1 [0,0,0,-3675,31750] 1
84600bt (2 curves)	0	2- 3- 5+ 47-	2- 3- 5+  2  2  6 -2 -4
Curve Equation t 84600bt1 [0,0,0,62925,5962750] 2 84600bt2 [0,0,0,-360075,56299750] 2
84600bu (4 curves)	0	2- 3- 5+ 47-	2- 3- 5+ -4  0 -6  2  4
Curve Equation t 84600bu1 [0,0,0,-634575,-224072750] 4 84600bu2 [0,0,0,-10575075,-13236187250] 4 84600bu3 [0,0,0,-10998075,-12119890250] 2 84600bu4 [0,0,0,-169200075,-847127812250] 2
84600bv (1 curve)	0	2- 3- 5+ 47-	2- 3- 5+  5 -3  6  2 -2
Curve Equation t 84600bv1 [0,0,0,-2100,20500] 1
84600bw (1 curve)	0	2- 3- 5- 47+	2- 3- 5-  0 -5 -4  3 -7
Curve Equation t 84600bw1 [0,0,0,-6220875,-5972076250] 1
84600bx (1 curve)	0	2- 3- 5- 47+	2- 3- 5- -1  0 -3  4  4
Curve Equation t 84600bx1 [0,0,0,-10875,13750] 1
84600by (1 curve)	0	2- 3- 5- 47+	2- 3- 5- -1  1  1 -6 -1
Curve Equation t 84600by1 [0,0,0,-12315,-504250] 1
84600bz (2 curves)	0	2- 3- 5- 47+	2- 3- 5- -2  2 -2 -2  0
Curve Equation t 84600bz1 [0,0,0,754125,18002618750] 2 84600bz2 [0,0,0,-98650875,369399293750] 2
84600ca (1 curve)	0	2- 3- 5- 47+	2- 3- 5- -3  4  2 -3  2
Curve Equation t 84600ca1 [0,0,0,-75,-925] 1
84600cb (2 curves)	0	2- 3- 5- 47+	2- 3- 5- -4  0 -6  6 -2
Curve Equation t 84600cb1 [0,0,0,-51375,-4468750] 2 84600cb2 [0,0,0,-28875,-8406250] 2
84600cc (1 curve)	0	2- 3- 5- 47+	2- 3- 5- -5  0  5 -2  0
Curve Equation t 84600cc1 [0,0,0,-2800875,-1804216250] 1
84600cd (1 curve)	0	2- 3- 5- 47+	2- 3- 5- -5  5  1 -2  3
Curve Equation t 84600cd1 [0,0,0,-280875,57293750] 1
84600ce (1 curve)	1	2- 3- 5- 47-	2- 3- 5-  1 -4 -5  1  1
Curve Equation t Generators 84600ce1 [0,0,0,115125,10993750] 1 [2675:139500:1]
84600cf (1 curve)	1	2- 3- 5- 47-	2- 3- 5-  1 -6 -2 -3  8
Curve Equation t Generators 84600cf1 [0,0,0,1125,16875] 1 [61:559:1]
84600cg (1 curve)	1	2- 3- 5- 47-	2- 3- 5- -1  4  1 -3  5
Curve Equation t Generators 84600cg1 [0,0,0,-1378875,-630756250] 1 [7450:634500:1]
84600ch (1 curve)	1	2- 3- 5- 47-	2- 3- 5- -4 -2  1  0  8
Curve Equation t Generators 84600ch1 [0,0,0,-23340,1374500] 1 [136:846:1]

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