Cremona's table of elliptic curves

17600 = 2⁶ · 5² · 11

Class	r	Atkin-Lehner	Eigenvalues
17600a (4 curves)	1	2+ 5+ 11+	2+  0 5+  0 11+ -2  2  4
Curve Equation t Generators 17600a1 [0,0,0,-575,-3500] 2 [-142:267:8] 17600a2 [0,0,0,-3700,84000] 4 [-60:300:1] 17600a3 [0,0,0,-58700,5474000] 4 [1040:32700:1] 17600a4 [0,0,0,1300,294000] 2 [30:600:1]
17600b (2 curves)	1	2+ 5+ 11+	2+  0 5+  2 11+ -4  4  0
Curve Equation t Generators 17600b1 [0,0,0,200,-3000] 2 [330:6000:1] 17600b2 [0,0,0,-2300,-38000] 2 [60:200:1]
17600c (1 curve)	1	2+ 5+ 11+	2+  1 5+  4 11+ -2  8 -6
Curve Equation t Generators 17600c1 [0,1,0,17,163] 1 [42:277:1]
17600d (2 curves)	1	2+ 5+ 11+	2+  1 5+ -5 11+  2 -3  7
Curve Equation t Generators 17600d1 [0,1,0,-141633,20664863] 1 [-197:6400:1] 17600d2 [0,1,0,474367,107520863] 1 [149427:10649600:729]
17600e (3 curves)	1	2+ 5+ 11+	2+ -1 5+  2 11+  4  2  0
Curve Equation t Generators 17600e1 [0,-1,0,-33,187] 1 [6:13:1] 17600e2 [0,-1,0,-1033,-22813] 1 [596574:17042077:729] 17600e3 [0,-1,0,-782033,-265925813] 1 [29678015489281572764113923192290874:349999542778575173177298518620739227:27331933519616398742726642765079]
17600f (2 curves)	1	2+ 5+ 11+	2+ -1 5+ -3 11+ -6  7 -5
Curve Equation t Generators 17600f1 [0,-1,0,15967,-3140063] 1 [287:5000:1] 17600f2 [0,-1,0,-9504033,-11274260063] 1 [127749:6016600:27]
17600g (2 curves)	1	2+ 5+ 11+	2+  2 5+  0 11+  0  4  4
Curve Equation t Generators 17600g1 [0,-1,0,-533,437] 2 [76:627:1] 17600g2 [0,-1,0,-6033,181937] 2 [-43:600:1]
17600h (1 curve)	1	2+ 5+ 11+	2+  2 5+  0 11+  3  4  1
Curve Equation t Generators 17600h1 [0,-1,0,-13153,-576543] 1 [2934489:70222848:4913]
17600i (2 curves)	1	2+ 5+ 11+	2+ -2 5+ -2 11+ -2  2  0
Curve Equation t Generators 17600i1 [0,1,0,2992,21238] 2 [13:250:1] 17600i2 [0,1,0,-12633,161863] 2 [-7:500:1]
17600j (4 curves)	0	2+ 5+ 11-	2+  0 5+  0 11-  2 -6  4
Curve Equation t 17600j1 [0,0,0,1300,14000] 2 17600j2 [0,0,0,-6700,126000] 4 17600j3 [0,0,0,-46700,-3794000] 2 17600j4 [0,0,0,-94700,11214000] 2
17600k (4 curves)	0	2+ 5+ 11-	2+  0 5+  0 11- -2  2 -4
Curve Equation t 17600k1 [0,0,0,-575,3500] 2 17600k2 [0,0,0,-3700,-84000] 4 17600k3 [0,0,0,-58700,-5474000] 2 17600k4 [0,0,0,1300,-294000] 4
17600l (2 curves)	0	2+ 5+ 11-	2+  0 5+  2 11-  0  0  8
Curve Equation t 17600l1 [0,0,0,-3800,-87000] 2 17600l2 [0,0,0,1700,-318000] 2
17600m (4 curves)	0	2+ 5+ 11-	2+  0 5+ -4 11-  6  6 -4
Curve Equation t 17600m1 [0,0,0,-504200,137801000] 2 17600m2 [0,0,0,-504700,137514000] 4 17600m3 [0,0,0,-754700,-12986000] 2 17600m4 [0,0,0,-262700,269646000] 2
17600n (2 curves)	0	2+ 5+ 11-	2+  1 5+  1 11-  2  3  1
Curve Equation t 17600n1 [0,1,0,-1633,68863] 1 17600n2 [0,1,0,14367,-1643137] 1
17600o (2 curves)	0	2+ 5+ 11-	2+  1 5+ -2 11- -4 -6 -8
Curve Equation t 17600o1 [0,1,0,267,-1837] 1 17600o2 [0,1,0,-7733,-265837] 1
17600p (1 curve)	0	2+ 5+ 11-	2+ -1 5+ -4 11- -2  8  6
Curve Equation t 17600p1 [0,-1,0,17,-163] 1
17600q (2 curves)	0	2+ 5+ 11-	2+  2 5+  2 11- -2  2  0
Curve Equation t 17600q1 [0,-1,0,2992,-21238] 2 17600q2 [0,-1,0,-12633,-161863] 2
17600r (4 curves)	0	2+ 5+ 11-	2+ -2 5+  4 11- -4  0  4
Curve Equation t 17600r1 [0,1,0,-4533,113563] 2 17600r2 [0,1,0,-10033,-221937] 2 17600r3 [0,1,0,-44533,-3586437] 2 17600r4 [0,1,0,-710033,-230521937] 2
17600s (2 curves)	0	2+ 5+ 11-	2+ -2 5+  4 11-  5  0  7
Curve Equation t 17600s1 [0,1,0,127,223] 1 17600s2 [0,1,0,-1473,-25697] 1
17600t (1 curve)	0	2+ 5+ 11-	2+  3 5+ -1 11- -6 -3  5
Curve Equation t 17600t1 [0,0,0,-6700,-226000] 1
17600u (1 curve)	0	2+ 5+ 11-	2+ -3 5+  2 11-  0  6 -4
Curve Equation t 17600u1 [0,0,0,-400,4000] 1
17600v (3 curves)	0	2+ 5- 11+	2+  1 5-  3 11+ -4  3  5
Curve Equation t 17600v1 [0,1,0,-1793,-29857] 1 17600v2 [0,1,0,12607,310943] 1 17600v3 [0,1,0,-1940993,1040206943] 1
17600w (3 curves)	0	2+ 5- 11+	2+ -1 5- -3 11+  4 -3  5
Curve Equation t 17600w1 [0,-1,0,-44833,-3642463] 1 17600w2 [0,-1,0,315167,38237537] 1 17600w3 [0,-1,0,-48524833,130122917537] 1
17600x (2 curves)	0	2+ 5- 11+	2+  2 5-  0 11+ -2 -6 -4
Curve Equation t 17600x1 [0,-1,0,-353,4577] 2 17600x2 [0,-1,0,-6753,215777] 2
17600y (2 curves)	0	2+ 5- 11+	2+  2 5- -4 11+ -6 -2 -4
Curve Equation t 17600y1 [0,-1,0,1167,-24463] 2 17600y2 [0,-1,0,-8833,-254463] 2
17600z (2 curves)	0	2+ 5- 11+	2+ -2 5-  0 11+  2  6 -4
Curve Equation t 17600z1 [0,1,0,-8833,554463] 2 17600z2 [0,1,0,-168833,26634463] 2
17600ba (1 curve)	0	2+ 5- 11+	2+ -2 5-  0 11+ -3 -4  1
Curve Equation t 17600ba1 [0,1,0,-328833,-72725537] 1
17600bb (2 curves)	0	2+ 5- 11+	2+ -2 5-  4 11+  6  2 -4
Curve Equation t 17600bb1 [0,1,0,47,-177] 2 17600bb2 [0,1,0,-353,-2177] 2
17600bc (2 curves)	1	2+ 5- 11-	2+  0 5-  2 11-  6 -2  4
Curve Equation t Generators 17600bc1 [0,0,0,-2000,25000] 2 [-39:209:1] 17600bc2 [0,0,0,-29500,1950000] 2 [461:9291:1]
17600bd (2 curves)	1	2+ 5- 11-	2+  0 5- -2 11- -6  2  4
Curve Equation t Generators 17600bd1 [0,0,0,-80,200] 2 [1:11:1] 17600bd2 [0,0,0,-1180,15600] 2 [21:9:1]
17600be (1 curve)	1	2+ 5- 11-	2+  1 5-  1 11-  0  1 -1
Curve Equation t Generators 17600be1 [0,1,0,3167,-41537] 1 [633:16000:1]
17600bf (1 curve)	1	2+ 5- 11-	2+ -1 5- -1 11-  0 -1 -1
Curve Equation t Generators 17600bf1 [0,-1,0,127,-383] 1 [17:80:1]
17600bg (2 curves)	1	2+ 5- 11-	2+  2 5-  2 11-  0 -4 -4
Curve Equation t Generators 17600bg1 [0,-1,0,-20333,-1108963] 2 [-6003102:338129:74088] 17600bg2 [0,-1,0,-22833,-816463] 2 [-1959:18172:27]
17600bh (2 curves)	1	2+ 5- 11-	2+  2 5- -4 11- -5  0  7
Curve Equation t Generators 17600bh1 [0,-1,0,3167,21537] 1 [153:2016:1] 17600bh2 [0,-1,0,-36833,-3138463] 1 [1417:52800:1]
17600bi (2 curves)	1	2+ 5- 11-	2+ -2 5- -2 11-  0  4 -4
Curve Equation t Generators 17600bi1 [0,1,0,-813,-9197] 2 [63:440:1] 17600bi2 [0,1,0,-913,-6897] 2 [-22:55:1]
17600bj (1 curve)	1	2+ 5- 11-	2+  3 5- -1 11-  0 -5  7
Curve Equation t Generators 17600bj1 [0,0,0,-940,42800] 1 [210:5120:27]
17600bk (1 curve)	1	2+ 5- 11-	2+ -3 5-  1 11-  0  5  7
Curve Equation t Generators 17600bk1 [0,0,0,-23500,5350000] 1 [100:2000:1]
17600bl (4 curves)	0	2- 5+ 11+	2-  0 5+  0 11+  2 -6 -4
Curve Equation t 17600bl1 [0,0,0,1300,-14000] 2 17600bl2 [0,0,0,-6700,-126000] 4 17600bl3 [0,0,0,-94700,-11214000] 2 17600bl4 [0,0,0,-46700,3794000] 2
17600bm (2 curves)	2	2- 5+ 11+	2-  0 5+ -2 11+  0  0 -8
Curve Equation t Generators 17600bm1 [0,0,0,-3800,87000] 2 [-70:100:1]&[-15:375:1] 17600bm2 [0,0,0,1700,318000] 2 [-59:111:1]&[20:600:1]
17600bn (4 curves)	0	2- 5+ 11+	2-  0 5+  4 11+  6  6  4
Curve Equation t 17600bn1 [0,0,0,-504200,-137801000] 2 17600bn2 [0,0,0,-504700,-137514000] 4 17600bn3 [0,0,0,-754700,12986000] 2 17600bn4 [0,0,0,-262700,-269646000] 2
17600bo (1 curve)	0	2- 5+ 11+	2-  1 5+  1 11+ -2  5  7
Curve Equation t 17600bo1 [0,1,0,-300033,275900063] 1
17600bp (1 curve)	0	2- 5+ 11+	2-  1 5+  3 11+ -2 -7 -5
Curve Equation t 17600bp1 [0,1,0,-325633,71420863] 1
17600bq (1 curve)	0	2- 5+ 11+	2-  1 5+ -4 11+ -2  0  2
Curve Equation t 17600bq1 [0,1,0,-283,-1937] 1
17600br (2 curves)	0	2- 5+ 11+	2- -1 5+ -1 11+  2  3 -1
Curve Equation t 17600br1 [0,-1,0,-1633,-68863] 1 17600br2 [0,-1,0,14367,1643137] 1
17600bs (2 curves)	0	2- 5+ 11+	2- -1 5+  2 11+ -4 -6  8
Curve Equation t 17600bs1 [0,-1,0,267,1837] 1 17600bs2 [0,-1,0,-7733,265837] 1
17600bt (1 curve)	2	2- 5+ 11+	2- -1 5+ -3 11+ -2 -5 -1
Curve Equation t Generators 17600bt1 [0,-1,0,-33,-8063] 1 [21:8:1]&[37:200:1]
17600bu (2 curves)	0	2- 5+ 11+	2-  2 5+  0 11+  4  4 -4
Curve Equation t 17600bu1 [0,-1,0,-26408,-1565938] 2 17600bu2 [0,-1,0,-417033,-103519063] 2
17600bv (4 curves)	0	2- 5+ 11+	2-  2 5+ -4 11+ -4  0 -4
Curve Equation t 17600bv1 [0,-1,0,-4533,-113563] 2 17600bv2 [0,-1,0,-10033,221937] 2 17600bv3 [0,-1,0,-44533,3586437] 2 17600bv4 [0,-1,0,-710033,230521937] 2
17600bw (2 curves)	0	2- 5+ 11+	2-  2 5+ -4 11+  5  0 -7
Curve Equation t 17600bw1 [0,-1,0,127,-223] 1 17600bw2 [0,-1,0,-1473,25697] 1
17600bx (1 curve)	0	2- 5+ 11+	2- -2 5+  0 11+  1 -4  1
Curve Equation t 17600bx1 [0,1,0,-833,90463] 1
17600by (2 curves)	0	2- 5+ 11+	2- -2 5+  4 11+  4 -4  4
Curve Equation t 17600by1 [0,1,0,-408,2938] 2 17600by2 [0,1,0,-1033,-8937] 2
17600bz (1 curve)	0	2- 5+ 11+	2-  3 5+ -2 11+  0  6  4
Curve Equation t 17600bz1 [0,0,0,-400,-4000] 1
17600ca (1 curve)	0	2- 5+ 11+	2- -3 5+  0 11+ -6  4  6
Curve Equation t 17600ca1 [0,0,0,50,1750] 1
17600cb (1 curve)	2	2- 5+ 11+	2- -3 5+  1 11+ -6 -3 -5
Curve Equation t Generators 17600cb1 [0,0,0,-6700,226000] 1 [-80:500:1]&[-54:656:1]
17600cc (2 curves)	1	2- 5+ 11-	2-  0 5+ -2 11- -4  4  0
Curve Equation t Generators 17600cc1 [0,0,0,200,3000] 2 [70:600:1] 17600cc2 [0,0,0,-2300,38000] 2 [-35:275:1]
17600cd (3 curves)	1	2- 5+ 11-	2-  1 5+ -2 11-  4  2  0
Curve Equation t Generators 17600cd1 [0,1,0,-33,-187] 1 [1580:4961:125] 17600cd2 [0,1,0,-1033,22813] 1 [-36:121:1] 17600cd3 [0,1,0,-782033,265925813] 1 [164:11921:1]
17600ce (1 curve)	1	2- 5+ 11-	2-  1 5+  3 11- -2 -5  1
Curve Equation t Generators 17600ce1 [0,1,0,-33,8063] 1 [13:100:1]
17600cf (2 curves)	1	2- 5+ 11-	2-  1 5+  3 11- -6  7  5
Curve Equation t Generators 17600cf1 [0,1,0,15967,3140063] 1 [338:6875:1] 17600cf2 [0,1,0,-9504033,11274260063] 1 [1738:3025:1]
17600cg (1 curve)	1	2- 5+ 11-	2- -1 5+ -1 11- -2  5 -7
Curve Equation t Generators 17600cg1 [0,-1,0,-300033,-275900063] 1 [1872:75625:1]
17600ch (1 curve)	1	2- 5+ 11-	2- -1 5+ -3 11- -2 -7  5
Curve Equation t Generators 17600ch1 [0,-1,0,-325633,-71420863] 1 [737:9400:1]
17600ci (1 curve)	1	2- 5+ 11-	2- -1 5+  4 11- -2  0 -2
Curve Equation t Generators 17600ci1 [0,-1,0,-283,1937] 1 [8:11:1]
17600cj (2 curves)	1	2- 5+ 11-	2- -1 5+  5 11-  2 -3 -7
Curve Equation t Generators 17600cj1 [0,-1,0,-141633,-20664863] 1 [453:2816:1] 17600cj2 [0,-1,0,474367,-107520863] 1 [79779:1343488:343]
17600ck (1 curve)	1	2- 5+ 11-	2-  2 5+  0 11-  1 -4 -1
Curve Equation t Generators 17600ck1 [0,-1,0,-833,-90463] 1 [1551:5912:27]
17600cl (2 curves)	1	2- 5+ 11-	2-  2 5+ -4 11-  4 -4 -4
Curve Equation t Generators 17600cl1 [0,-1,0,-408,-2938] 2 [-2082:539:216] 17600cl2 [0,-1,0,-1033,8937] 2 [-9:132:1]
17600cm (2 curves)	1	2- 5+ 11-	2- -2 5+  0 11-  0  4 -4
Curve Equation t Generators 17600cm1 [0,1,0,-533,-437] 2 [-21:44:1] 17600cm2 [0,1,0,-6033,-181937] 2 [-46:19:1]
17600cn (1 curve)	1	2- 5+ 11-	2- -2 5+  0 11-  3  4 -1
Curve Equation t Generators 17600cn1 [0,1,0,-13153,576543] 1 [-41:1024:1]
17600co (2 curves)	1	2- 5+ 11-	2- -2 5+  0 11-  4  4  4
Curve Equation t Generators 17600co1 [0,1,0,-26408,1565938] 2 [186:7859:8] 17600co2 [0,1,0,-417033,103519063] 2 [98:7975:1]
17600cp (1 curve)	1	2- 5+ 11-	2-  3 5+  0 11- -6  4 -6
Curve Equation t Generators 17600cp1 [0,0,0,50,-1750] 1 [543:2321:27]
17600cq (2 curves)	1	2- 5- 11+	2-  0 5-  2 11+ -6  2 -4
Curve Equation t Generators 17600cq1 [0,0,0,-80,-200] 2 [-6:8:1] 17600cq2 [0,0,0,-1180,-15600] 2 [60:360:1]
17600cr (2 curves)	1	2- 5- 11+	2-  0 5- -2 11+  6 -2 -4
Curve Equation t Generators 17600cr1 [0,0,0,-2000,-25000] 2 [-14:16:1] 17600cr2 [0,0,0,-29500,-1950000] 2 [7900:702000:1]
17600cs (1 curve)	1	2- 5- 11+	2-  1 5-  1 11+  0 -1  1
Curve Equation t Generators 17600cs1 [0,1,0,127,383] 1 [-1:16:1]
17600ct (1 curve)	1	2- 5- 11+	2- -1 5- -1 11+  0  1  1
Curve Equation t Generators 17600ct1 [0,-1,0,3167,41537] 1 [-8:125:1]
17600cu (1 curve)	1	2- 5- 11+	2-  2 5-  0 11+ -1  4  1
Curve Equation t Generators 17600cu1 [0,-1,0,-33,737] 1 [-7:24:1]
17600cv (2 curves)	1	2- 5- 11+	2-  2 5-  2 11+  0  4  4
Curve Equation t Generators 17600cv1 [0,-1,0,-813,9197] 2 [-19:132:1] 17600cv2 [0,-1,0,-913,6897] 2 [147:1740:1]
17600cw (2 curves)	1	2- 5- 11+	2- -2 5- -2 11+  0 -4  4
Curve Equation t Generators 17600cw1 [0,1,0,-20333,1108963] 2 [-42:1375:1] 17600cw2 [0,1,0,-22833,816463] 2 [-46:1331:1]
17600cx (2 curves)	1	2- 5- 11+	2- -2 5-  4 11+ -5  0 -7
Curve Equation t Generators 17600cx1 [0,1,0,3167,-21537] 1 [7:32:1] 17600cx2 [0,1,0,-36833,3138463] 1 [183:1600:1]
17600cy (1 curve)	1	2- 5- 11+	2-  3 5- -1 11+  0  5 -7
Curve Equation t Generators 17600cy1 [0,0,0,-23500,-5350000] 1 [155643525:1907867375:531441]
17600cz (1 curve)	1	2- 5- 11+	2-  3 5-  3 11+ -4 -7 -3
Curve Equation t Generators 17600cz1 [0,0,0,-460,-5200] 1 [840:2780:27]
17600da (1 curve)	1	2- 5- 11+	2- -3 5-  1 11+  0 -5 -7
Curve Equation t Generators 17600da1 [0,0,0,-940,-42800] 1 [106:1024:1]
17600db (1 curve)	1	2- 5- 11+	2- -3 5- -3 11+  4  7 -3
Curve Equation t Generators 17600db1 [0,0,0,-11500,-650000] 1 [150:1000:1]
17600dc (3 curves)	0	2- 5- 11-	2-  1 5-  3 11-  4 -3 -5
Curve Equation t 17600dc1 [0,1,0,-44833,3642463] 1 17600dc2 [0,1,0,315167,-38237537] 1 17600dc3 [0,1,0,-48524833,-130122917537] 1
17600dd (3 curves)	2	2- 5- 11-	2- -1 5- -3 11- -4  3 -5
Curve Equation t Generators 17600dd1 [0,-1,0,-1793,29857] 1 [-43:160:1]&[21:32:1] 17600dd2 [0,-1,0,12607,-310943] 1 [27:220:1]&[101:1408:1] 17600dd3 [0,-1,0,-1940993,-1040206943] 1 [3707:206620:1]&[7637:655360:1]
17600de (2 curves)	0	2- 5- 11-	2-  2 5-  0 11-  2  6  4
Curve Equation t 17600de1 [0,-1,0,-8833,-554463] 2 17600de2 [0,-1,0,-168833,-26634463] 2
17600df (1 curve)	0	2- 5- 11-	2-  2 5-  0 11- -3 -4 -1
Curve Equation t 17600df1 [0,-1,0,-328833,72725537] 1
17600dg (2 curves)	0	2- 5- 11-	2-  2 5- -4 11-  6  2  4
Curve Equation t 17600dg1 [0,-1,0,47,177] 2 17600dg2 [0,-1,0,-353,2177] 2
17600dh (1 curve)	0	2- 5- 11-	2- -2 5-  0 11- -1  4 -1
Curve Equation t 17600dh1 [0,1,0,-33,-737] 1
17600di (2 curves)	0	2- 5- 11-	2- -2 5-  0 11- -2 -6  4
Curve Equation t 17600di1 [0,1,0,-353,-4577] 2 17600di2 [0,1,0,-6753,-215777] 2
17600dj (2 curves)	0	2- 5- 11-	2- -2 5-  4 11- -6 -2  4
Curve Equation t 17600dj1 [0,1,0,1167,24463] 2 17600dj2 [0,1,0,-8833,254463] 2
17600dk (1 curve)	0	2- 5- 11-	2-  3 5-  3 11-  4  7  3
Curve Equation t 17600dk1 [0,0,0,-11500,650000] 1
17600dl (1 curve)	2	2- 5- 11-	2- -3 5- -3 11- -4 -7  3
Curve Equation t Generators 17600dl1 [0,0,0,-460,5200] 1 [-20:80:1]&[-6:88:1]

Data from Elliptic Curve Data by J. E. Cremona.
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Part of Computational Number Theory
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