Cremona's table of elliptic curves

11200 = 2⁶ · 5² · 7

Class	r	Atkin-Lehner	Eigenvalues
11200a (1 curve)	1	2+ 5+ 7+	2+  0 5+ 7+ -1 -2  4  2
Curve Equation t Generators 11200a1 [0,0,0,2500,75000] 1 [-455:32077:125]
11200b (4 curves)	1	2+ 5+ 7+	2+  0 5+ 7+ -4  2 -6  4
Curve Equation t Generators 11200b1 [0,0,0,-1175,15500] 2 [56:354:1] 11200b2 [0,0,0,-1300,12000] 4 [-26:168:1] 11200b3 [0,0,0,-8300,-282000] 2 [-51:93:1] 11200b4 [0,0,0,3700,82000] 2 [205:3075:1]
11200c (3 curves)	1	2+ 5+ 7+	2+  1 5+ 7+  3  5 -3 -2
Curve Equation t Generators 11200c1 [0,1,0,-133,613] 1 [-12:25:1] 11200c2 [0,1,0,867,-1387] 1 [156:1675:27] 11200c3 [0,1,0,-13133,-610387] 1 [33069972:763459975:59319]
11200d (2 curves)	1	2+ 5+ 7+	2+  1 5+ 7+ -3 -1  3 -2
Curve Equation t Generators 11200d1 [0,1,0,-533,-23437] 1 [278:4625:1] 11200d2 [0,1,0,-80533,-8823437] 1 [260262:2069225:729]
11200e (2 curves)	1	2+ 5+ 7+	2+  1 5+ 7+ -3  2 -3  7
Curve Equation t Generators 11200e1 [0,1,0,287,1663] 1 [-3:28:1] 11200e2 [0,1,0,-2913,-86017] 1 [4719:58996:27]
11200f (1 curve)	1	2+ 5+ 7+	2+ -1 5+ 7+ -1  3  7 -4
Curve Equation t Generators 11200f1 [0,-1,0,-383,3637] 1 [12:25:1]
11200g (1 curve)	1	2+ 5+ 7+	2+ -1 5+ 7+  3  2  5  1
Curve Equation t Generators 11200g1 [0,-1,0,-833,-190463] 1 [63:56:1]
11200h (1 curve)	1	2+ 5+ 7+	2+ -1 5+ 7+ -3 -7  5  4
Curve Equation t Generators 11200h1 [0,-1,0,217,6937] 1 [72:625:1]
11200i (2 curves)	1	2+ 5+ 7+	2+  2 5+ 7+  0  0  2  2
Curve Equation t Generators 11200i1 [0,-1,0,-33,-4063] 2 [2811:28448:27] 11200i2 [0,-1,0,-4033,-96063] 2 [417:8400:1]
11200j (6 curves)	1	2+ 5+ 7+	2+ -2 5+ 7+  0 -4 -6 -2
Curve Equation t Generators 11200j1 [0,1,0,-833,18463] 2 [13:100:1] 11200j2 [0,1,0,-16833,834463] 2 [59:224:1] 11200j3 [0,1,0,7167,-389537] 2 [493:11100:1] 11200j4 [0,1,0,-56833,-4293537] 2 [363:4800:1] 11200j5 [0,1,0,-272833,-55101537] 2 [1109888013:151761747968:59319] 11200j6 [0,1,0,-4368833,-3516221537] 2 [74843:20467200:1]
11200k (2 curves)	1	2+ 5+ 7+	2+ -2 5+ 7+ -3 -4  0 -2
Curve Equation t Generators 11200k1 [0,1,0,7,-17] 1 [2:3:1] 11200k2 [0,1,0,-393,-3137] 1 [82:723:1]
11200l (1 curve)	1	2+ 5+ 7+	2+  3 5+ 7+ -1 -1  3 -8
Curve Equation t Generators 11200l1 [0,0,0,186950,30523250] 1 [-635538521265:-29942523759475:7797729087]
11200m (1 curve)	1	2+ 5+ 7+	2+ -3 5+ 7+  5 -5  7  2
Curve Equation t Generators 11200m1 [0,0,0,-41200,3316000] 1 [145:625:1]
11200n (4 curves)	0	2+ 5+ 7-	2+  0 5+ 7-  4  2  6 -8
Curve Equation t 11200n1 [0,0,0,100,2000] 2 11200n2 [0,0,0,-1900,30000] 4 11200n3 [0,0,0,-5900,-138000] 2 11200n4 [0,0,0,-29900,1990000] 2
11200o (4 curves)	0	2+ 5+ 7-	2+  0 5+ 7-  4  2 -6 -4
Curve Equation t 11200o1 [0,0,0,-1175,-15500] 2 11200o2 [0,0,0,-1300,-12000] 4 11200o3 [0,0,0,-8300,282000] 2 11200o4 [0,0,0,3700,-82000] 2
11200p (4 curves)	0	2+ 5+ 7-	2+  0 5+ 7- -4 -6 -2  0
Curve Equation t 11200p1 [0,0,0,3700,-138000] 2 11200p2 [0,0,0,-28300,-1482000] 4 11200p3 [0,0,0,-428300,-107882000] 2 11200p4 [0,0,0,-140300,18902000] 2
11200q (1 curve)	0	2+ 5+ 7-	2+  0 5+ 7-  5  6  4  6
Curve Equation t 11200q1 [0,0,0,-20,40] 1
11200r (1 curve)	0	2+ 5+ 7-	2+  1 5+ 7-  1  3  7  4
Curve Equation t 11200r1 [0,1,0,-383,-3637] 1
11200s (1 curve)	0	2+ 5+ 7-	2+  1 5+ 7-  1 -6 -7 -1
Curve Equation t 11200s1 [0,1,0,-673,-6977] 1
11200t (1 curve)	0	2+ 5+ 7-	2+  1 5+ 7-  3 -7  5 -4
Curve Equation t 11200t1 [0,1,0,217,-6937] 1
11200u (1 curve)	0	2+ 5+ 7-	2+  1 5+ 7- -3  2  5 -1
Curve Equation t 11200u1 [0,1,0,-833,190463] 1
11200v (1 curve)	0	2+ 5+ 7-	2+ -1 5+ 7-  5  1 -3  6
Curve Equation t 11200v1 [0,-1,0,-133,4637] 1
11200w (1 curve)	0	2+ 5+ 7-	2+  2 5+ 7- -1  4  0 -6
Curve Equation t 11200w1 [0,-1,0,-113,-1063] 1
11200x (1 curve)	0	2+ 5+ 7-	2+ -2 5+ 7- -5  0  8  2
Curve Equation t 11200x1 [0,1,0,-833,15463] 1
11200y (1 curve)	0	2+ 5+ 7-	2+  3 5+ 7-  5 -3  1 -6
Curve Equation t 11200y1 [0,0,0,3200,212000] 1
11200z (1 curve)	0	2+ 5+ 7-	2+ -3 5+ 7-  1 -1  3  8
Curve Equation t 11200z1 [0,0,0,186950,-30523250] 1
11200ba (1 curve)	0	2+ 5+ 7-	2+ -3 5+ 7-  5 -6  1  3
Curve Equation t 11200ba1 [0,0,0,-287500,64150000] 1
11200bb (2 curves)	0	2+ 5- 7+	2+  0 5- 7+  0  4 -4 -4
Curve Equation t 11200bb1 [0,0,0,-8000,-275000] 2 11200bb2 [0,0,0,-5500,-450000] 2
11200bc (1 curve)	0	2+ 5- 7+	2+  0 5- 7+  5 -6 -4  6
Curve Equation t 11200bc1 [0,0,0,-500,5000] 1
11200bd (1 curve)	0	2+ 5- 7+	2+ -1 5- 7+  1  1 -3  4
Curve Equation t 11200bd1 [0,-1,0,667,159037] 1
11200be (1 curve)	0	2+ 5- 7+	2+ -1 5- 7+  1  6  7 -1
Curve Equation t 11200be1 [0,-1,0,-16833,-838463] 1
11200bf (2 curves)	0	2+ 5- 7+	2+ -1 5- 7+  3 -1  7  0
Curve Equation t 11200bf1 [0,-1,0,167,-1213] 1 11200bf2 [0,-1,0,-14833,703787] 1
11200bg (1 curve)	2	2+ 5- 7+	2+ -1 5- 7+ -3 -2 -5 -1
Curve Equation t Generators 11200bg1 [0,-1,0,-33,1537] 1 [-8:35:1]&[-3:40:1]
11200bh (1 curve)	0	2+ 5- 7+	2+  2 5- 7+ -5  0 -8  2
Curve Equation t 11200bh1 [0,-1,0,-33,137] 1
11200bi (1 curve)	0	2+ 5- 7+	2+ -2 5- 7+ -1 -4  0 -6
Curve Equation t 11200bi1 [0,1,0,-2833,-138537] 1
11200bj (1 curve)	0	2+ 5- 7+	2+  3 5- 7+ -3  1  5  8
Curve Equation t 11200bj1 [0,0,0,-160,800] 1
11200bk (1 curve)	0	2+ 5- 7+	2+  3 5- 7+  5  6 -1  3
Curve Equation t 11200bk1 [0,0,0,-11500,513200] 1
11200bl (2 curves)	1	2+ 5- 7-	2+  0 5- 7-  0 -4  4 -4
Curve Equation t Generators 11200bl1 [0,0,0,-320,-2200] 2 [26:84:1] 11200bl2 [0,0,0,-220,-3600] 2 [34:168:1]
11200bm (1 curve)	1	2+ 5- 7-	2+  0 5- 7- -1  2 -4  2
Curve Equation t Generators 11200bm1 [0,0,0,100,600] 1 [5:35:1]
11200bn (1 curve)	1	2+ 5- 7-	2+  1 5- 7-  1 -1  3  4
Curve Equation t Generators 11200bn1 [0,1,0,27,1283] 1 [-2:35:1]
11200bo (2 curves)	1	2+ 5- 7-	2+  1 5- 7-  3  1 -7  0
Curve Equation t Generators 11200bo1 [0,1,0,7,-7] 1 [8:25:1] 11200bo2 [0,1,0,-593,5393] 1 [8:35:1]
11200bp (1 curve)	1	2+ 5- 7-	2+  1 5- 7-  3 -2 -5  1
Curve Equation t Generators 11200bp1 [0,1,0,-33,-1537] 1 [43:280:1]
11200bq (2 curves)	1	2+ 5- 7-	2+ -1 5- 7- -3 -2  3  7
Curve Equation t Generators 11200bq1 [0,-1,0,7167,193537] 1 [1:448:1] 11200bq2 [0,-1,0,-72833,-10606463] 1 [417:5600:1]
11200br (2 curves)	1	2+ 5- 7-	2+  2 5- 7- -3  4  0 -2
Curve Equation t Generators 11200br1 [0,-1,0,167,-2463] 1 [86856:706887:1331] 11200br2 [0,-1,0,-9833,-372463] 1 [592:14175:1]
11200bs (1 curve)	1	2+ 5- 7-	2+ -3 5- 7- -3 -1 -5  8
Curve Equation t Generators 11200bs1 [0,0,0,-4000,100000] 1 [25:125:1]
11200bt (4 curves)	0	2- 5+ 7+	2-  0 5+ 7+  0 -2 -2 -8
Curve Equation t 11200bt1 [0,0,0,-3575,-226000] 2 11200bt2 [0,0,0,-81700,-8976000] 4 11200bt3 [0,0,0,-1306700,-574926000] 2 11200bt4 [0,0,0,-106700,-3026000] 2
11200bu (4 curves)	0	2- 5+ 7+	2-  0 5+ 7+  4 -6 -2  0
Curve Equation t 11200bu1 [0,0,0,3700,138000] 2 11200bu2 [0,0,0,-28300,1482000] 4 11200bu3 [0,0,0,-140300,-18902000] 2 11200bu4 [0,0,0,-428300,107882000] 2
11200bv (4 curves)	0	2- 5+ 7+	2-  0 5+ 7+ -4  2  6  8
Curve Equation t 11200bv1 [0,0,0,100,-2000] 2 11200bv2 [0,0,0,-1900,-30000] 4 11200bv3 [0,0,0,-29900,-1990000] 2 11200bv4 [0,0,0,-5900,138000] 2
11200bw (1 curve)	0	2- 5+ 7+	2-  0 5+ 7+ -5  6  4 -6
Curve Equation t 11200bw1 [0,0,0,-20,-40] 1
11200bx (1 curve)	0	2- 5+ 7+	2-  1 5+ 7+ -5  1 -3 -6
Curve Equation t 11200bx1 [0,1,0,-133,-4637] 1
11200by (1 curve)	0	2- 5+ 7+	2- -1 5+ 7+ -1 -1 -1  0
Curve Equation t 11200by1 [0,-1,0,-1883,-30863] 1
11200bz (1 curve)	2	2- 5+ 7+	2- -1 5+ 7+ -1 -6 -7  1
Curve Equation t Generators 11200bz1 [0,-1,0,-673,6977] 1 [-19:112:1]&[13:16:1]
11200ca (1 curve)	0	2- 5+ 7+	2- -1 5+ 7+  5  5  5  0
Curve Equation t 11200ca1 [0,-1,0,-9283,600437] 1
11200cb (2 curves)	0	2- 5+ 7+	2-  2 5+ 7+ -4 -4  2 -6
Curve Equation t 11200cb1 [0,-1,0,167,537] 2 11200cb2 [0,-1,0,-833,5537] 2
11200cc (1 curve)	0	2- 5+ 7+	2-  2 5+ 7+  5  0  8 -2
Curve Equation t 11200cc1 [0,-1,0,-833,-15463] 1
11200cd (1 curve)	0	2- 5+ 7+	2- -2 5+ 7+  1  4  0  6
Curve Equation t 11200cd1 [0,1,0,-113,1063] 1
11200ce (1 curve)	0	2- 5+ 7+	2-  3 5+ 7+ -3  1  1  4
Curve Equation t 11200ce1 [0,0,0,50,-250] 1
11200cf (1 curve)	0	2- 5+ 7+	2-  3 5+ 7+ -5 -6  1 -3
Curve Equation t 11200cf1 [0,0,0,-287500,-64150000] 1
11200cg (1 curve)	0	2- 5+ 7+	2- -3 5+ 7+ -5 -3  1  6
Curve Equation t 11200cg1 [0,0,0,3200,-212000] 1
11200ch (4 curves)	1	2- 5+ 7-	2-  0 5+ 7-  0 -2 -2  8
Curve Equation t Generators 11200ch1 [0,0,0,-3575,226000] 2 [-44:546:1] 11200ch2 [0,0,0,-81700,8976000] 4 [-190:4200:1] 11200ch3 [0,0,0,-106700,3026000] 2 [10:1400:1] 11200ch4 [0,0,0,-1306700,574926000] 2 [1560:48300:1]
11200ci (1 curve)	1	2- 5+ 7-	2-  0 5+ 7-  1 -2  4 -2
Curve Equation t Generators 11200ci1 [0,0,0,2500,-75000] 1 [101:1099:1]
11200cj (1 curve)	1	2- 5+ 7-	2-  1 5+ 7-  1 -1 -1  0
Curve Equation t Generators 11200cj1 [0,1,0,-1883,30863] 1 [38:125:1]
11200ck (1 curve)	1	2- 5+ 7-	2-  1 5+ 7- -5  5  5  0
Curve Equation t Generators 11200ck1 [0,1,0,-9283,-600437] 1 [138:875:1]
11200cl (2 curves)	1	2- 5+ 7-	2- -1 5+ 7-  3 -1  3  2
Curve Equation t Generators 11200cl1 [0,-1,0,-533,23437] 1 [-28:125:1] 11200cl2 [0,-1,0,-80533,8823437] 1 [172:175:1]
11200cm (2 curves)	1	2- 5+ 7-	2- -1 5+ 7-  3  2 -3 -7
Curve Equation t Generators 11200cm1 [0,-1,0,287,-1663] 1 [13:64:1] 11200cm2 [0,-1,0,-2913,86017] 1 [141:1568:1]
11200cn (3 curves)	1	2- 5+ 7-	2- -1 5+ 7- -3  5 -3  2
Curve Equation t Generators 11200cn1 [0,-1,0,-133,-613] 1 [62:475:1] 11200cn2 [0,-1,0,867,1387] 1 [22:175:1] 11200cn3 [0,-1,0,-13133,610387] 1 [62:175:1]
11200co (6 curves)	1	2- 5+ 7-	2-  2 5+ 7-  0 -4 -6  2
Curve Equation t Generators 11200co1 [0,-1,0,-833,-18463] 2 [193437:3124736:729] 11200co2 [0,-1,0,-16833,-834463] 2 [1061:34272:1] 11200co3 [0,-1,0,7167,389537] 2 [407:8400:1] 11200co4 [0,-1,0,-56833,4293537] 2 [213:1344:1] 11200co5 [0,-1,0,-272833,55101537] 2 [174321:2362800:343] 11200co6 [0,-1,0,-4368833,3516221537] 2 [14439:985600:27]
11200cp (2 curves)	1	2- 5+ 7-	2-  2 5+ 7-  3 -4  0  2
Curve Equation t Generators 11200cp1 [0,-1,0,7,17] 1 [16:63:1] 11200cp2 [0,-1,0,-393,3137] 1 [8:21:1]
11200cq (2 curves)	1	2- 5+ 7-	2- -2 5+ 7-  0  0  2 -2
Curve Equation t Generators 11200cq1 [0,1,0,-33,4063] 2 [-1:64:1] 11200cq2 [0,1,0,-4033,96063] 2 [-17:400:1]
11200cr (2 curves)	1	2- 5+ 7-	2- -2 5+ 7-  4 -4  2  6
Curve Equation t Generators 11200cr1 [0,1,0,167,-537] 2 [7:32:1] 11200cr2 [0,1,0,-833,-5537] 2 [-21:56:1]
11200cs (1 curve)	1	2- 5+ 7-	2-  3 5+ 7- -5 -5  7 -2
Curve Equation t Generators 11200cs1 [0,0,0,-41200,-3316000] 1 [14835:319375:27]
11200ct (1 curve)	1	2- 5+ 7-	2- -3 5+ 7-  3  1  1 -4
Curve Equation t Generators 11200ct1 [0,0,0,50,250] 1 [5:25:1]
11200cu (2 curves)	1	2- 5- 7+	2-  0 5- 7+  0 -4  4  4
Curve Equation t Generators 11200cu1 [0,0,0,-320,2200] 2 [9:7:1] 11200cu2 [0,0,0,-220,3600] 2 [0:60:1]
11200cv (1 curve)	1	2- 5- 7+	2-  0 5- 7+  1  2 -4 -2
Curve Equation t Generators 11200cv1 [0,0,0,100,-600] 1 [5:5:1]
11200cw (2 curves)	1	2- 5- 7+	2-  1 5- 7+  3 -2  3 -7
Curve Equation t Generators 11200cw1 [0,1,0,7167,-193537] 1 [34:301:1] 11200cw2 [0,1,0,-72833,10606463] 1 [458:8575:1]
11200cx (1 curve)	1	2- 5- 7+	2- -1 5- 7+ -1 -1  3 -4
Curve Equation t Generators 11200cx1 [0,-1,0,27,-1283] 1 [12:25:1]
11200cy (2 curves)	1	2- 5- 7+	2- -1 5- 7+ -3  1 -7  0
Curve Equation t Generators 11200cy1 [0,-1,0,7,7] 1 [2:5:1] 11200cy2 [0,-1,0,-593,-5393] 1 [42:205:1]
11200cz (2 curves)	1	2- 5- 7+	2- -2 5- 7+  3  4  0  2
Curve Equation t Generators 11200cz1 [0,1,0,167,2463] 1 [2:53:1] 11200cz2 [0,1,0,-9833,372463] 1 [58:25:1]
11200da (1 curve)	1	2- 5- 7+	2-  3 5- 7+  3 -1 -5 -8
Curve Equation t Generators 11200da1 [0,0,0,-4000,-100000] 1 [449086575:118338875:6128487]
11200db (2 curves)	0	2- 5- 7-	2-  0 5- 7-  0  4 -4  4
Curve Equation t 11200db1 [0,0,0,-8000,275000] 2 11200db2 [0,0,0,-5500,450000] 2
11200dc (1 curve)	0	2- 5- 7-	2-  0 5- 7- -5 -6 -4 -6
Curve Equation t 11200dc1 [0,0,0,-500,-5000] 1
11200dd (1 curve)	0	2- 5- 7-	2-  1 5- 7- -1  1 -3 -4
Curve Equation t 11200dd1 [0,1,0,667,-159037] 1
11200de (1 curve)	0	2- 5- 7-	2-  1 5- 7- -1  6  7  1
Curve Equation t 11200de1 [0,1,0,-16833,838463] 1
11200df (2 curves)	0	2- 5- 7-	2-  1 5- 7- -3 -1  7  0
Curve Equation t 11200df1 [0,1,0,167,1213] 1 11200df2 [0,1,0,-14833,-703787] 1
11200dg (1 curve)	0	2- 5- 7-	2-  2 5- 7-  1 -4  0  6
Curve Equation t 11200dg1 [0,-1,0,-2833,138537] 1
11200dh (1 curve)	0	2- 5- 7-	2- -2 5- 7-  5  0 -8 -2
Curve Equation t 11200dh1 [0,1,0,-33,-137] 1
11200di (1 curve)	0	2- 5- 7-	2- -3 5- 7-  3  1  5 -8
Curve Equation t 11200di1 [0,0,0,-160,-800] 1
11200dj (1 curve)	0	2- 5- 7-	2- -3 5- 7- -5  6 -1 -3
Curve Equation t 11200dj1 [0,0,0,-11500,-513200] 1

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