Cremona's table of elliptic curves

65600 = 2⁶ · 5² · 41

Class	r	Atkin-Lehner	Eigenvalues
65600a (2 curves)	1	2+ 5+ 41+	2+  0 5+  2  0 -4  2 -4
Curve Equation t Generators 65600a1 [0,0,0,-1100,-10000] 2 [-26:32:1] 65600a2 [0,0,0,2900,-66000] 2 [24:132:1]
65600b (2 curves)	1	2+ 5+ 41+	2+  0 5+ -2 -4  4 -2  8
Curve Equation t Generators 65600b1 [0,0,0,-2290700,1334406000] 2 [854:992:1] 65600b2 [0,0,0,-2190700,1456206000] 2 [2104:78492:1]
65600c (2 curves)	1	2+ 5+ 41+	2+  0 5+  4 -2  4  4 -6
Curve Equation t Generators 65600c1 [0,0,0,-175,4500] 2 [144:1722:1] 65600c2 [0,0,0,-5300,148000] 2 [-60:500:1]
65600d (2 curves)	1	2+ 5+ 41+	2+  0 5+ -4  2  4  4  6
Curve Equation t Generators 65600d1 [0,0,0,-175,-4500] 2 [4120:264450:1] 65600d2 [0,0,0,-5300,-148000] 2 [-44:4:1]
65600e (2 curves)	1	2+ 5+ 41+	2+  2 5+ -2  0 -4 -4  0
Curve Equation t Generators 65600e1 [0,-1,0,-4033,-63] 2 [387:7500:1] 65600e2 [0,-1,0,-44033,3559937] 2 [10929:194500:27]
65600f (2 curves)	1	2+ 5+ 41+	2+  2 5+ -2  4 -2 -6  0
Curve Equation t Generators 65600f1 [0,-1,0,29992,-5841238] 2 [21755582275713594:269956308932421875:124535576361672] 65600f2 [0,-1,0,-360633,-74981863] 2 [58593592:1050144375:68921]
65600g (2 curves)	1	2+ 5+ 41+	2+  2 5+ -2  4  4 -4 -4
Curve Equation t Generators 65600g1 [0,-1,0,-1533,15437] 2 [3639:40400:27] 65600g2 [0,-1,0,-22033,1265937] 2 [537:12000:1]
65600h (2 curves)	1	2+ 5+ 41+	2+  2 5+ -4 -6 -4  6 -6
Curve Equation t Generators 65600h1 [0,-1,0,-8033,-124063] 2 [-47:384:1] 65600h2 [0,-1,0,-108033,-13624063] 2 [-5019:368:27]
65600i (2 curves)	1	2+ 5+ 41+	2+ -2 5+  2  0  0 -8  0
Curve Equation t Generators 65600i1 [0,1,0,-5533,-133437] 2 [343:6200:1] 65600i2 [0,1,0,-26033,1486063] 2 [123:400:1]
65600j (2 curves)	1	2+ 5+ 41+	2+ -2 5+  2 -4 -2 -6  0
Curve Equation t Generators 65600j1 [0,1,0,29992,5841238] 2 [853:25550:1] 65600j2 [0,1,0,-360633,74981863] 2 [498:4375:1]
65600k (2 curves)	1	2+ 5+ 41+	2+ -2 5+ -2  0  0  4  8
Curve Equation t Generators 65600k1 [0,1,0,-2033,-25937] 2 [-27:100:1] 65600k2 [0,1,0,-12033,484063] 2 [114:779:1]
65600l (4 curves)	1	2+ 5+ 41+	2+ -2 5+ -2  0 -4  0 -8
Curve Equation t Generators 65600l1 [0,1,0,-268033,52404063] 2 [43:6400:1] 65600l2 [0,1,0,-4268033,3392404063] 2 [1234:2501:1] 65600l3 [0,1,0,-2468033,-1470595937] 2 [3053:139500:1] 65600l4 [0,1,0,-5028033,2100604063] 2 [2317797:98521100:729]
65600m (2 curves)	1	2+ 5+ 41+	2+ -2 5+  4  2  4  2 -6
Curve Equation t Generators 65600m1 [0,1,0,-2433,23263] 2 [-21:256:1] 65600m2 [0,1,0,-18433,-952737] 2 [-71:56:1]
65600n (4 curves)	0	2+ 5+ 41-	2+  0 5+  0 -4  6  2 -4
Curve Equation t 65600n1 [0,0,0,-4700,-14000] 2 65600n2 [0,0,0,-54700,-4914000] 4 65600n3 [0,0,0,-34700,-8554000] 4 65600n4 [0,0,0,-874700,-314874000] 2
65600o (2 curves)	0	2+ 5+ 41-	2+  0 5+  2  6 -2 -8  6
Curve Equation t 65600o1 [0,0,0,-22700,1054000] 2 65600o2 [0,0,0,-342700,77214000] 2
65600p (2 curves)	0	2+ 5+ 41-	2+  0 5+ -2  2 -2  4  2
Curve Equation t 65600p1 [0,0,0,-3130700,-1717706000] 2 65600p2 [0,0,0,-15630700,22257294000] 2
65600q (1 curve)	0	2+ 5+ 41-	2+  0 5+ -3  2 -3 -4  2
Curve Equation t 65600q1 [0,0,0,-567500,164550000] 1
65600r (4 curves)	0	2+ 5+ 41-	2+  0 5+  4  0 -2  6  0
Curve Equation t 65600r1 [0,0,0,-34700,2486000] 2 65600r2 [0,0,0,-42700,1254000] 4 65600r3 [0,0,0,157300,9654000] 2 65600r4 [0,0,0,-370700,-85994000] 2
65600s (4 curves)	0	2+ 5+ 41-	2+  0 5+ -4  0 -2 -2  0
Curve Equation t 65600s1 [0,0,0,-2218700,-1206234000] 2 65600s2 [0,0,0,-34986700,-79652826000] 4 65600s3 [0,0,0,-34474700,-82097114000] 2 65600s4 [0,0,0,-559786700,-5097790426000] 2
65600t (1 curve)	0	2+ 5+ 41-	2+  0 5+  5 -6  1  4 -6
Curve Equation t 65600t1 [0,0,0,-140,-2320] 1
65600u (2 curves)	0	2+ 5+ 41-	2+  2 5+  2 -2  6  6  2
Curve Equation t 65600u1 [0,-1,0,-1233,16337] 2 65600u2 [0,-1,0,767,62337] 2
65600v (2 curves)	0	2+ 5+ 41-	2+  2 5+ -2 -6  2 -2  6
Curve Equation t 65600v1 [0,-1,0,-33633,-2360863] 2 65600v2 [0,-1,0,-25633,-3520863] 2
65600w (2 curves)	0	2+ 5+ 41-	2+  2 5+  4 -4 -2  0  0
Curve Equation t 65600w1 [0,-1,0,-1033,-3063] 2 65600w2 [0,-1,0,3967,-28063] 2
65600x (2 curves)	0	2+ 5+ 41-	2+ -2 5+  2 -2 -6  6  2
Curve Equation t 65600x1 [0,1,0,-25633,76863] 2 65600x2 [0,1,0,102367,716863] 2
65600y (2 curves)	2	2+ 5+ 41-	2+ -2 5+ -4  4 -2  0  0
Curve Equation t Generators 65600y1 [0,1,0,-1033,3063] 2 [-33:48:1]&[-22:125:1] 65600y2 [0,1,0,3967,28063] 2 [3:200:1]&[18:325:1]
65600z (2 curves)	0	2+ 5- 41+	2+  0 5-  4  4  2  6  8
Curve Equation t 65600z1 [0,0,0,-7000,225000] 2 65600z2 [0,0,0,-9500,50000] 2
65600ba (2 curves)	2	2+ 5- 41+	2+  0 5- -4  4 -2 -6  8
Curve Equation t Generators 65600ba1 [0,0,0,-280,1800] 2 [-10:60:1]&[1:39:1] 65600ba2 [0,0,0,-380,400] 2 [-11:57:1]&[0:20:1]
65600bb (1 curve)	1	2+ 5- 41-	2+  0 5-  3  2  3  4  2
Curve Equation t Generators 65600bb1 [0,0,0,-22700,1316400] 1 [86:-16:1]
65600bc (1 curve)	1	2+ 5- 41-	2+  0 5- -5 -6 -1 -4 -6
Curve Equation t Generators 65600bc1 [0,0,0,-3500,-290000] 1 [150:-1600:1]
65600bd (2 curves)	0	2- 5+ 41+	2-  0 5+  2  4  4 -2 -8
Curve Equation t 65600bd1 [0,0,0,-2290700,-1334406000] 2 65600bd2 [0,0,0,-2190700,-1456206000] 2
65600be (2 curves)	2	2- 5+ 41+	2-  0 5+ -2  0 -4  2  4
Curve Equation t Generators 65600be1 [0,0,0,-1100,10000] 2 [-35:75:1]&[-6:128:1] 65600be2 [0,0,0,2900,66000] 2 [21:369:1]&[44:528:1]
65600bf (2 curves)	0	2- 5+ 41+	2-  2 5+  0  6 -4 -6 -2
Curve Equation t 65600bf1 [0,-1,0,-1433,-20263] 2 65600bf2 [0,-1,0,-2433,12737] 2
65600bg (2 curves)	0	2- 5+ 41+	2-  2 5+  2  0  0  4 -8
Curve Equation t 65600bg1 [0,-1,0,-2033,25937] 2 65600bg2 [0,-1,0,-12033,-484063] 2
65600bh (4 curves)	0	2- 5+ 41+	2-  2 5+  2  0 -4  0  8
Curve Equation t 65600bh1 [0,-1,0,-268033,-52404063] 2 65600bh2 [0,-1,0,-4268033,-3392404063] 2 65600bh3 [0,-1,0,-2468033,1470595937] 2 65600bh4 [0,-1,0,-5028033,-2100604063] 2
65600bi (2 curves)	0	2- 5+ 41+	2-  2 5+ -2  0  0 -8  0
Curve Equation t 65600bi1 [0,-1,0,-5533,133437] 2 65600bi2 [0,-1,0,-26033,-1486063] 2
65600bj (2 curves)	0	2- 5+ 41+	2-  2 5+ -4 -2  4  2  6
Curve Equation t 65600bj1 [0,-1,0,-2433,-23263] 2 65600bj2 [0,-1,0,-18433,952737] 2
65600bk (2 curves)	2	2- 5+ 41+	2-  2 5+ -4 -2 -4  2 -2
Curve Equation t Generators 65600bk1 [0,-1,0,-43033,-3057063] 2 [-123:600:1]&[-87:144:1] 65600bk2 [0,-1,0,-668033,-209932063] 2 [1003:11316:1]&[162266:23090175:8]
65600bl (2 curves)	2	2- 5+ 41+	2- -2 5+  0 -6 -4 -6  2
Curve Equation t Generators 65600bl1 [0,1,0,-1433,20263] 2 [-27:200:1]&[-17:200:1] 65600bl2 [0,1,0,-2433,-12737] 2 [-31:184:1]&[-22:175:1]
65600bm (2 curves)	2	2- 5+ 41+	2- -2 5+  2  0 -4 -4  0
Curve Equation t Generators 65600bm1 [0,1,0,-4033,63] 2 [-62:125:1]&[-27:300:1] 65600bm2 [0,1,0,-44033,-3559937] 2 [-126:61:1]&[242:123:1]
65600bn (2 curves)	0	2- 5+ 41+	2- -2 5+  2 -4  4 -4  4
Curve Equation t 65600bn1 [0,1,0,-1533,-15437] 2 65600bn2 [0,1,0,-22033,-1265937] 2
65600bo (2 curves)	0	2- 5+ 41+	2- -2 5+  4  2 -4  2  2
Curve Equation t 65600bo1 [0,1,0,-43033,3057063] 2 65600bo2 [0,1,0,-668033,209932063] 2
65600bp (2 curves)	0	2- 5+ 41+	2- -2 5+  4  6 -4  6  6
Curve Equation t 65600bp1 [0,1,0,-8033,124063] 2 65600bp2 [0,1,0,-108033,13624063] 2
65600bq (4 curves)	1	2- 5+ 41-	2-  0 5+  0  4  6  2  4
Curve Equation t Generators 65600bq1 [0,0,0,-4700,14000] 2 [290:4800:1] 65600bq2 [0,0,0,-54700,4914000] 4 [8580:119600:27] 65600bq3 [0,0,0,-34700,8554000] 2 [396:7544:1] 65600bq4 [0,0,0,-874700,314874000] 4 [196052460:764405200:328509]
65600br (2 curves)	1	2- 5+ 41-	2-  0 5+  2  2  2  0 -6
Curve Equation t Generators 65600br1 [0,0,0,-1700,-24000] 2 [60:300:1] 65600br2 [0,0,0,-6700,186000] 2 [-30:600:1]
65600bs (2 curves)	1	2- 5+ 41-	2-  0 5+  2 -2 -2  4 -2
Curve Equation t Generators 65600bs1 [0,0,0,-3130700,1717706000] 2 [586:9184:1] 65600bs2 [0,0,0,-15630700,-22257294000] 2 [47485:10310475:1]
65600bt (2 curves)	1	2- 5+ 41-	2-  0 5+ -2 -2  2  0  6
Curve Equation t Generators 65600bt1 [0,0,0,-1700,24000] 2 [-10:200:1] 65600bt2 [0,0,0,-6700,-186000] 2 [-35:75:1]
65600bu (2 curves)	1	2- 5+ 41-	2-  0 5+ -2 -6 -2 -8 -6
Curve Equation t Generators 65600bu1 [0,0,0,-22700,-1054000] 2 [-86:512:1] 65600bu2 [0,0,0,-342700,-77214000] 2 [-336:12:1]
65600bv (1 curve)	1	2- 5+ 41-	2-  0 5+  3 -2 -3 -4 -2
Curve Equation t Generators 65600bv1 [0,0,0,-567500,-164550000] 1 [1145966910:667759626928:3375]
65600bw (4 curves)	1	2- 5+ 41-	2-  0 5+  4  0 -2 -2  0
Curve Equation t Generators 65600bw1 [0,0,0,-2218700,1206234000] 2 [1495260:7437000:2197] 65600bw2 [0,0,0,-34986700,79652826000] 4 [-120146860809010:-8282947445760000:23467349647] 65600bw3 [0,0,0,-34474700,82097114000] 2 [217696:101535844:1] 65600bw4 [0,0,0,-559786700,5097790426000] 2 [-7024290:-968512000:343]
65600bx (4 curves)	1	2- 5+ 41-	2-  0 5+ -4  0 -2  6  0
Curve Equation t Generators 65600bx1 [0,0,0,-34700,-2486000] 2 [1330:48000:1] 65600bx2 [0,0,0,-42700,-1254000] 4 [2498:31857:8] 65600bx3 [0,0,0,157300,-9654000] 2 [224:6068:1] 65600bx4 [0,0,0,-370700,85994000] 2 [-110:11200:1]
65600by (1 curve)	1	2- 5+ 41-	2-  0 5+ -5  6  1  4  6
Curve Equation t Generators 65600by1 [0,0,0,-140,2320] 1 [34:192:1]
65600bz (2 curves)	1	2- 5+ 41-	2-  2 5+  2  2  2 -2 -2
Curve Equation t Generators 65600bz1 [0,-1,0,-8508,-303238] 2 [265234041389922:7888444559239375:296207416296] 65600bz2 [0,-1,0,-136633,-19393863] 2 [4765992:283570125:1331]
65600ca (2 curves)	1	2- 5+ 41-	2-  2 5+  2 -6 -2  2 -2
Curve Equation t Generators 65600ca1 [0,-1,0,492,8762] 2 [5755:44526:125] 65600ca2 [0,-1,0,-4633,106137] 2 [72:375:1]
65600cb (2 curves)	1	2- 5+ 41-	2-  2 5+ -2  2 -6  6 -2
Curve Equation t Generators 65600cb1 [0,-1,0,-25633,-76863] 2 [-1896:31625:27] 65600cb2 [0,-1,0,102367,-716863] 2 [11162184:280556875:35937]
65600cc (2 curves)	1	2- 5+ 41-	2- -2 5+  2  6  2 -2 -6
Curve Equation t Generators 65600cc1 [0,1,0,-33633,2360863] 2 [98:125:1] 65600cc2 [0,1,0,-25633,3520863] 2 [-43:2132:1]
65600cd (2 curves)	1	2- 5+ 41-	2- -2 5+ -2  2  6  6 -2
Curve Equation t Generators 65600cd1 [0,1,0,-1233,-16337] 2 [-22:25:1] 65600cd2 [0,1,0,767,-62337] 2 [58:425:1]
65600ce (2 curves)	1	2- 5+ 41-	2- -2 5+ -2 -2  2 -2  2
Curve Equation t Generators 65600ce1 [0,1,0,-8508,303238] 2 [57:82:1] 65600ce2 [0,1,0,-136633,19393863] 2 [218:-125:1]
65600cf (2 curves)	1	2- 5+ 41-	2- -2 5+ -2  6 -2  2  2
Curve Equation t Generators 65600cf1 [0,1,0,492,-8762] 2 [177:2378:1] 65600cf2 [0,1,0,-4633,-106137] 2 [-47:100:1]
65600cg (2 curves)	1	2- 5- 41+	2-  0 5-  4 -4 -2 -6 -8
Curve Equation t Generators 65600cg1 [0,0,0,-280,-1800] 2 [162:231:8] 65600cg2 [0,0,0,-380,-400] 2 [40:220:1]
65600ch (2 curves)	1	2- 5- 41+	2-  0 5- -4 -4  2  6 -8
Curve Equation t Generators 65600ch1 [0,0,0,-7000,-225000] 2 [1282:13311:8] 65600ch2 [0,0,0,-9500,-50000] 2 [141:1189:1]
65600ci (1 curve)	0	2- 5- 41-	2-  0 5- -3 -2  3  4 -2
Curve Equation t 65600ci1 [0,0,0,-22700,-1316400] 1
65600cj (1 curve)	0	2- 5- 41-	2-  0 5-  5  6 -1 -4  6
Curve Equation t 65600cj1 [0,0,0,-3500,290000] 1

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