Cremona's table of elliptic curves

20592 = 2⁴ · 3² · 11 · 13

Class	r	Atkin-Lehner	Eigenvalues
20592a (2 curves)	1	2+ 3+ 11+ 13+	2+ 3+ -4  2 11+ 13+ -2  2
Curve Equation t Generators 20592a1 [0,0,0,-16767,-835650] 2 [897:26568:1] 20592a2 [0,0,0,-17307,-778950] 2 [-93:162:1]
20592b (2 curves)	0	2+ 3+ 11- 13+	2+ 3+  4  2 11- 13+  2  2
Curve Equation t 20592b1 [0,0,0,-1863,30950] 2 20592b2 [0,0,0,-1923,28850] 2
20592c (2 curves)	2	2+ 3- 11+ 13+	2+ 3-  0 -4 11+ 13+ -8 -4
Curve Equation t Generators 20592c1 [0,0,0,105,-6698] 2 [18:32:1]&[29:144:1] 20592c2 [0,0,0,-4755,-122366] 2 [-45:22:1]&[-37:54:1]
20592d (1 curve)	0	2+ 3- 11+ 13+	2+ 3-  3 -3 11+ 13+  4 -6
Curve Equation t 20592d1 [0,0,0,1509,-5398] 1
20592e (1 curve)	2	2+ 3- 11+ 13+	2+ 3- -3 -1 11+ 13+ -2 -4
Curve Equation t Generators 20592e1 [0,0,0,-1299,18034] 1 [-3:148:1]&[5:108:1]
20592f (2 curves)	1	2+ 3- 11+ 13-	2+ 3- -2  0 11+ 13- -8 -2
Curve Equation t Generators 20592f1 [0,0,0,53349,8033690] 2 [181:4860:1] 20592f2 [0,0,0,-425811,87861746] 2 [-737:1170:1]
20592g (2 curves)	1	2+ 3- 11- 13+	2+ 3-  0  0 11- 13+  4  0
Curve Equation t Generators 20592g1 [0,0,0,25665,-5766082] 2 [302:5434:1] 20592g2 [0,0,0,-367995,-79065574] 2 [-365:2574:1]
20592h (1 curve)	1	2+ 3- 11- 13+	2+ 3-  1  2 11- 13+ -4  2
Curve Equation t Generators 20592h1 [0,0,0,-25932,2001548] 1 [-151:1573:1]
20592i (4 curves)	1	2+ 3- 11- 13+	2+ 3-  2  0 11- 13+  2  4
Curve Equation t Generators 20592i1 [0,0,0,321,-322] 2 [26:160:1] 20592i2 [0,0,0,-1299,-2590] 4 [-13:110:1] 20592i3 [0,0,0,-15339,-729862] 2 [-71:36:1] 20592i4 [0,0,0,-13179,579530] 2 [95:430:1]
20592j (2 curves)	1	2+ 3- 11- 13+	2+ 3- -2 -4 11- 13+ -4  2
Curve Equation t Generators 20592j1 [0,0,0,789,-790] 2 [13:108:1] 20592j2 [0,0,0,-3171,-6334] 2 [-41:234:1]
20592k (1 curve)	1	2+ 3- 11- 13+	2+ 3- -3  3 11- 13+  5 -4
Curve Equation t Generators 20592k1 [0,0,0,261,1674] 1 [1:44:1]
20592l (1 curve)	0	2+ 3- 11- 13-	2+ 3-  1  2 11- 13-  0  6
Curve Equation t 20592l1 [0,0,0,-2172,38972] 1
20592m (1 curve)	0	2+ 3- 11- 13-	2+ 3-  1 -3 11- 13-  0  6
Curve Equation t 20592m1 [0,0,0,-43707,-4159478] 1
20592n (6 curves)	0	2+ 3- 11- 13-	2+ 3-  2  0 11- 13- -2 -4
Curve Equation t 20592n1 [0,0,0,-42474,3369247] 2 20592n2 [0,0,0,-42519,3361750] 4 20592n3 [0,0,0,-64299,-449750] 4 20592n4 [0,0,0,-21459,6693442] 2 20592n5 [0,0,0,-733539,-241242302] 2 20592n6 [0,0,0,256461,-3593198] 2
20592o (4 curves)	0	2+ 3- 11- 13-	2+ 3- -2 -4 11- 13-  6  0
Curve Equation t 20592o1 [0,0,0,-6906,161939] 2 20592o2 [0,0,0,-39711,-2915170] 4 20592o3 [0,0,0,-627771,-191447206] 2 20592o4 [0,0,0,23469,-11318110] 4
20592p (2 curves)	0	2- 3+ 11+ 13+	2- 3+ -2  2 11+ 13+  4 -2
Curve Equation t 20592p1 [0,0,0,549,-40310] 2 20592p2 [0,0,0,-14811,-663926] 2
20592q (2 curves)	0	2- 3+ 11+ 13+	2- 3+ -2  2 11+ 13+  4 -6
Curve Equation t 20592q1 [0,0,0,2349,-2449710] 2 20592q2 [0,0,0,-259011,-49651326] 2
20592r (2 curves)	0	2- 3+ 11+ 13+	2- 3+ -2  2 11+ 13+ -8 -2
Curve Equation t 20592r1 [0,0,0,-14992371,22343688370] 2 20592r2 [0,0,0,-239878131,1429993614514] 2
20592s (2 curves)	1	2- 3+ 11+ 13-	2- 3+  0  2 11+ 13-  2  6
Curve Equation t Generators 20592s1 [0,0,0,-2115,-35774] 2 [-30:26:1] 20592s2 [0,0,0,-5955,130882] 2 [-81:286:1]
20592t (2 curves)	1	2- 3+ 11+ 13-	2- 3+ -2  0 11+ 13-  6  0
Curve Equation t Generators 20592t1 [0,0,0,-1296,17955] 2 [453:9612:1] 20592t2 [0,0,0,-1431,13986] 2 [10:26:1]
20592u (2 curves)	1	2- 3+ 11- 13+	2- 3+  2  2 11- 13+ -4 -2
Curve Equation t Generators 20592u1 [0,0,0,4941,1088370] 2 [82:1430:1] 20592u2 [0,0,0,-133299,17926002] 2 [31:3718:1]
20592v (2 curves)	1	2- 3+ 11- 13+	2- 3+  2  2 11- 13+ -4 -6
Curve Equation t Generators 20592v1 [0,0,0,261,90730] 2 [23:330:1] 20592v2 [0,0,0,-28779,1838938] 2 [111:110:1]
20592w (2 curves)	1	2- 3+ 11- 13+	2- 3+  2  2 11- 13+  8 -2
Curve Equation t Generators 20592w1 [0,0,0,-134931339,-603279585990] 2 [39379811660395:3228541176481280:2336752783] 20592w2 [0,0,0,-2158903179,-38609827591878] 2 [350608632142943249591501:-119602426723187773122425690:2605847749131498299]
20592x (2 curves)	0	2- 3+ 11- 13-	2- 3+  0  2 11- 13- -2  6
Curve Equation t 20592x1 [0,0,0,-19035,965898] 2 20592x2 [0,0,0,-53595,-3533814] 2
20592y (2 curves)	0	2- 3+ 11- 13-	2- 3+  2  0 11- 13- -6  0
Curve Equation t 20592y1 [0,0,0,-144,-665] 2 20592y2 [0,0,0,-159,-518] 2
20592z (1 curve)	1	2- 3- 11+ 13+	2- 3-  1 -1 11+ 13+  1  4
Curve Equation t Generators 20592z1 [0,0,0,-4827,129418] 1 [39:22:1]
20592ba (1 curve)	1	2- 3- 11+ 13+	2- 3-  1 -1 11+ 13+ -2  4
Curve Equation t Generators 20592ba1 [0,0,0,-9507,-493022] 1 [994:3951:8]
20592bb (1 curve)	1	2- 3- 11+ 13+	2- 3-  1  2 11+ 13+  4 -2
Curve Equation t Generators 20592bb1 [0,0,0,-192,-3728] 1 [2445:13:125]
20592bc (4 curves)	1	2- 3- 11+ 13+	2- 3- -2 -4 11+ 13+ -2  4
Curve Equation t Generators 20592bc1 [0,0,0,-153651,23151346] 2 [-279:6656:1] 20592bc2 [0,0,0,-199731,8120050] 4 [-297:6422:1] 20592bc3 [0,0,0,-1910451,-1009758350] 2 [2399:90630:1] 20592bc4 [0,0,0,773709,63995506] 2 [281:17424:1]
20592bd (2 curves)	0	2- 3- 11+ 13-	2- 3-  0  2 11+ 13-  2 -6
Curve Equation t 20592bd1 [0,0,0,-4800,127879] 2 20592bd2 [0,0,0,-6015,58138] 2
20592be (4 curves)	0	2- 3- 11+ 13-	2- 3-  0 -2 11+ 13- -6 -2
Curve Equation t 20592be1 [0,0,0,-856560,-300538717] 2 20592be2 [0,0,0,-1742295,427358306] 2 20592be3 [0,0,0,-69090960,-221044622641] 2 20592be4 [0,0,0,-69092175,-221036459542] 2
20592bf (4 curves)	0	2- 3- 11+ 13-	2- 3-  0  4 11+ 13-  0  4
Curve Equation t 20592bf1 [0,0,0,51765,3259514] 2 20592bf2 [0,0,0,-259275,28951418] 2 20592bf3 [0,0,0,-537915,-202774678] 2 20592bf4 [0,0,0,-9385275,-11065563286] 2
20592bg (6 curves)	0	2- 3- 11+ 13-	2- 3-  2  0 11+ 13-  6  4
Curve Equation t 20592bg1 [0,0,0,-3459,112322] 2 20592bg2 [0,0,0,-61779,5909330] 4 20592bg3 [0,0,0,-68259,4593890] 4 20592bg4 [0,0,0,-988419,378233282] 2 20592bg5 [0,0,0,-433299,-106305262] 2 20592bg6 [0,0,0,193101,31304882] 4
20592bh (1 curve)	0	2- 3- 11+ 13-	2- 3-  3 -1 11+ 13-  8  6
Curve Equation t 20592bh1 [0,0,0,-82371,205499842] 1
20592bi (1 curve)	0	2- 3- 11+ 13-	2- 3-  3  5 11+ 13- -7  0
Curve Equation t 20592bi1 [0,0,0,1869,296818] 1
20592bj (2 curves)	0	2- 3- 11+ 13-	2- 3-  3 -5 11+ 13-  0 -2
Curve Equation t 20592bj1 [0,0,0,1869,-69262] 1 20592bj2 [0,0,0,-88851,-10211758] 1
20592bk (2 curves)	2	2- 3- 11+ 13-	2- 3- -3  1 11+ 13- -6 -8
Curve Equation t Generators 20592bk1 [0,0,0,-939,73946] 1 [-38:234:1]&[-11:288:1] 20592bk2 [0,0,0,8421,-1957174] 1 [103:54:1]&[125:1024:1]
20592bl (2 curves)	0	2- 3- 11- 13+	2- 3-  1 -1 11- 13+ -4 -6
Curve Equation t 20592bl1 [0,0,0,-831513747,9238759563602] 1 20592bl2 [0,0,0,2354844813,-579820679983438] 1
20592bm (1 curve)	0	2- 3- 11- 13+	2- 3-  1  3 11- 13+  4  2
Curve Equation t 20592bm1 [0,0,0,-6627,218338] 1
20592bn (4 curves)	0	2- 3- 11- 13+	2- 3- -2  0 11- 13+ -2 -4
Curve Equation t 20592bn1 [0,0,0,789,-190694] 2 20592bn2 [0,0,0,-45291,-3609830] 4 20592bn3 [0,0,0,-719211,-234764390] 2 20592bn4 [0,0,0,-108651,8720026] 2
20592bo (2 curves)	0	2- 3- 11- 13+	2- 3- -2 -4 11- 13+  8  6
Curve Equation t 20592bo1 [0,0,0,-47811,-10320190] 2 20592bo2 [0,0,0,-1061571,-420487486] 2
20592bp (2 curves)	0	2- 3- 11- 13+	2- 3- -4  4 11- 13+ -4  4
Curve Equation t 20592bp1 [0,0,0,-147,-11950] 2 20592bp2 [0,0,0,-8787,-314350] 2
20592bq (2 curves)	1	2- 3- 11- 13-	2- 3-  0  0 11- 13-  4  8
Curve Equation t Generators 20592bq1 [0,0,0,285,2338] 2 [2:54:1] 20592bq2 [0,0,0,-1875,23506] 2 [-25:234:1]
20592br (1 curve)	1	2- 3- 11- 13-	2- 3- -1  3 11- 13-  6  0
Curve Equation t Generators 20592br1 [0,0,0,-3,-1406] 1 [14:36:1]
20592bs (2 curves)	1	2- 3- 11- 13-	2- 3- -1 -3 11- 13- -3  0
Curve Equation t Generators 20592bs1 [0,0,0,40317,477826] 1 [225:4576:1] 20592bs2 [0,0,0,-4021923,-3105301214] 1 [11961:1288408:1]
20592bt (4 curves)	1	2- 3- 11- 13-	2- 3-  2  0 11- 13- -6  0
Curve Equation t Generators 20592bt1 [0,0,0,-22179,1478050] 2 [23:990:1] 20592bt2 [0,0,0,-370659,86855650] 4 [375:770:1] 20592bt3 [0,0,0,-386499,79027522] 2 [-199:12168:1] 20592bt4 [0,0,0,-5930499,5558850178] 2 [177955:143514:125]
20592bu (2 curves)	1	2- 3- 11- 13-	2- 3-  2  2 11- 13-  0 -2
Curve Equation t Generators 20592bu1 [0,0,0,-984,490115] 2 [9572:122915:64] 20592bu2 [0,0,0,-99399,11925938] 2 [634:14274:1]
20592bv (2 curves)	1	2- 3- 11- 13-	2- 3-  2 -4 11- 13-  0 -2
Curve Equation t Generators 20592bv1 [0,0,0,-939,-15910] 2 [85:720:1] 20592bv2 [0,0,0,-16779,-836422] 2 [151:270:1]
20592bw (2 curves)	1	2- 3- 11- 13-	2- 3- -3  1 11- 13-  0 -2
Curve Equation t Generators 20592bw1 [0,0,0,-14974059,22302715034] 1 [2165:5632:1] 20592bw2 [0,0,0,-11623899,32544866954] 1 [26141:4194304:1]
20592bx (2 curves)	1	2- 3- 11- 13-	2- 3- -3 -2 11- 13-  0 -2
Curve Equation t Generators 20592bx1 [0,0,0,816,-4084] 1 [38:286:1] 20592bx2 [0,0,0,-15024,-724804] 1 [290:4394:1]
20592by (2 curves)	1	2- 3- 11- 13-	2- 3- -4  0 11- 13-  0  0
Curve Equation t Generators 20592by1 [0,0,0,-331347,-73733870] 2 [886006:1087182:1331] 20592by2 [0,0,0,-5307987,-4706985710] 2 [2663:6534:1]

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