Cremona's table of elliptic curves

35600 = 2⁴ · 5² · 89

Class	r	Atkin-Lehner	Eigenvalues
35600a (2 curves)	1	2+ 5+ 89+	2+  0 5+  4  0  0 -2  6
Curve Equation t Generators 35600a1 [0,0,0,-575,2750] 2 [-11:88:1] 35600a2 [0,0,0,1925,20250] 2 [162:2079:8]
35600b (1 curve)	1	2+ 5+ 89+	2+ -1 5+ -2 -1 -6  6 -8
Curve Equation t Generators 35600b1 [0,-1,0,592,1312] 1 [12:-100:1]
35600c (2 curves)	1	2+ 5+ 89+	2+  2 5+ -2 -4  0  6  4
Curve Equation t Generators 35600c1 [0,-1,0,-26783,-1673938] 2 [-3237626896842:-2082119475916:33917833053] 35600c2 [0,-1,0,-37908,-138688] 2 [-373204:-2571672:2197]
35600d (2 curves)	1	2+ 5+ 89+	2+ -2 5+  2  4  0 -2  0
Curve Equation t Generators 35600d1 [0,1,0,-783,6688] 2 [-16:124:1] 35600d2 [0,1,0,-11908,496188] 2 [-62:1000:1]
35600e (2 curves)	1	2+ 5+ 89+	2+ -2 5+ -2  4  4  6  0
Curve Equation t Generators 35600e1 [0,1,0,-908,-9812] 2 [-18:32:1] 35600e2 [0,1,0,-3408,65188] 2 [-46:356:1]
35600f (1 curve)	0	2+ 5+ 89-	2+  0 5+  5  3  6  6  0
Curve Equation t 35600f1 [0,0,0,-35,130] 1
35600g (1 curve)	0	2+ 5+ 89-	2+  1 5+ -2  2 -5  3  0
Curve Equation t 35600g1 [0,1,0,-6608,-208972] 1
35600h (1 curve)	0	2+ 5+ 89-	2+  1 5+  4  5  4  0  6
Curve Equation t 35600h1 [0,1,0,-179008,29091988] 1
35600i (1 curve)	2	2+ 5+ 89-	2+  1 5+ -4 -4  3 -1  0
Curve Equation t Generators 35600i1 [0,1,0,-88,-332] 1 [-6:4:1]&[42:268:1]
35600j (2 curves)	2	2+ 5+ 89-	2+ -2 5+  2 -4 -6  2 -6
Curve Equation t Generators 35600j1 [0,1,0,-18508,962988] 2 [-118:1232:1]&[-2:1000:1] 35600j2 [0,1,0,-18008,1017988] 2 [-32:1250:1]&[88:350:1]
35600k (2 curves)	2	2+ 5+ 89-	2+ -2 5+ -4  0 -4 -2 -2
Curve Equation t Generators 35600k1 [0,1,0,-808,8388] 2 [23:-50:1]&[-18:132:1] 35600k2 [0,1,0,-1808,-17612] 2 [-36:46:1]&[-12:50:1]
35600l (1 curve)	0	2+ 5+ 89-	2+  3 5+  2  2  5 -5  8
Curve Equation t 35600l1 [0,0,0,-5035,137210] 1
35600m (1 curve)	1	2+ 5- 89-	2+  0 5- -5  3 -6 -6  0
Curve Equation t Generators 35600m1 [0,0,0,-875,16250] 1 [25:100:1]
35600n (1 curve)	1	2+ 5- 89-	2+ -1 5-  2  2  5 -3  0
Curve Equation t Generators 35600n1 [0,-1,0,-165208,-25791088] 1 [928:24884:1]
35600o (1 curve)	1	2+ 5- 89-	2+ -1 5-  4 -4 -3  1  0
Curve Equation t Generators 35600o1 [0,-1,0,-2208,-37088] 1 [-27:46:1]
35600p (1 curve)	1	2+ 5- 89-	2+ -3 5- -2  2 -5  5  8
Curve Equation t Generators 35600p1 [0,0,0,-125875,17151250] 1 [221:356:1]
35600q (2 curves)	0	2- 5+ 89+	2-  0 5+  2 -4  6  6  2
Curve Equation t 35600q1 [0,0,0,-2075,2250] 2 35600q2 [0,0,0,-22075,-1257750] 2
35600r (2 curves)	0	2- 5+ 89+	2-  1 5+ -4  6 -2 -3 -5
Curve Equation t 35600r1 [0,1,0,2392,228788] 1 35600r2 [0,1,0,-221608,40100788] 1
35600s (2 curves)	0	2- 5+ 89+	2- -1 5+ -2  3  6  2  0
Curve Equation t 35600s1 [0,-1,0,3992,-1145488] 1 35600s2 [0,-1,0,-816008,298214512] 1
35600t (1 curve)	0	2- 5+ 89+	2- -1 5+ -4  2 -2 -3  5
Curve Equation t 35600t1 [0,-1,0,-408,-4688] 1
35600u (2 curves)	2	2- 5+ 89+	2- -2 5+ -2 -4 -4 -2  4
Curve Equation t Generators 35600u1 [0,1,0,-3408,23188] 2 [-52:250:1]&[-12:250:1] 35600u2 [0,1,0,-43408,3463188] 2 [-238:608:1]&[34:1424:1]
35600v (2 curves)	1	2- 5+ 89-	2-  0 5+  0  0 -2 -2 -2
Curve Equation t Generators 35600v1 [0,0,0,-3700,-86625] 2 [748010780:-119731593:10648000] 35600v2 [0,0,0,-3575,-92750] 2 [177690:2209603:1000]
35600w (4 curves)	1	2- 5+ 89-	2-  0 5+  4  4 -6 -2  0
Curve Equation t Generators 35600w1 [0,0,0,-20675,-1106750] 2 [510:11000:1] 35600w2 [0,0,0,-52675,3149250] 4 [-211155:19289600:9261] 35600w3 [0,0,0,147325,21349250] 2 [1294:48772:1] 35600w4 [0,0,0,-764675,257333250] 2 [13035:22400:27]
35600x (2 curves)	1	2- 5+ 89-	2-  1 5+  2 -2 -1  3  0
Curve Equation t Generators 35600x1 [0,1,0,-904448,257063348] 1 [372806:-8111104:343] 35600x2 [0,1,0,-529550208,4690212113588] 1 [569634590:2663632:42875]
35600y (1 curve)	1	2- 5+ 89-	2-  1 5+ -4  1 -4  0  6
Curve Equation t Generators 35600y1 [0,1,0,-5008,-140012] 1 [828:23750:1]
35600z (1 curve)	1	2- 5+ 89-	2- -1 5+  0  0  4  1  5
Curve Equation t Generators 35600z1 [0,-1,0,92,812] 1 [41:268:1]
35600ba (1 curve)	1	2- 5+ 89-	2- -1 5+ -2  6 -3 -5  0
Curve Equation t Generators 35600ba1 [0,-1,0,-288,1792] 1 [16:32:1]
35600bb (2 curves)	1	2- 5+ 89-	2-  2 5+  0  0  4 -2  2
Curve Equation t Generators 35600bb1 [0,-1,0,-17808,-781888] 2 [1306:6375:8] 35600bb2 [0,-1,0,-273808,-55053888] 2 [1018302:-69459875:216]
35600bc (2 curves)	1	2- 5+ 89-	2-  2 5+  2  4 -2 -6  2
Curve Equation t Generators 35600bc1 [0,-1,0,-608,-4288] 2 [37:150:1] 35600bc2 [0,-1,0,1392,-28288] 2 [1738:25899:8]
35600bd (2 curves)	1	2- 5+ 89-	2-  2 5+ -2  0  6 -2  0
Curve Equation t Generators 35600bd1 [0,-1,0,-330033,73086812] 2 [1936524:-57556567:1728] 35600bd2 [0,-1,0,-329908,73144812] 2 [-3702:89979:8]
35600be (2 curves)	1	2- 5+ 89-	2-  2 5+  4  0  0 -2 -6
Curve Equation t Generators 35600be1 [0,-1,0,-167408,-25914688] 2 [93724114:403640625:195112] 35600be2 [0,-1,0,-2667408,-1675914688] 2 [317581799718:-77946179347925:5268024]
35600bf (2 curves)	1	2- 5+ 89-	2- -2 5+  2  4  2 -6  6
Curve Equation t Generators 35600bf1 [0,1,0,-455008,117839988] 2 [623:8750:1] 35600bf2 [0,1,0,-327008,185679988] 2 [2666:85351:8]
35600bg (1 curve)	1	2- 5+ 89-	2-  3 5+  0  0  1  7 -8
Curve Equation t Generators 35600bg1 [0,0,0,-11875,481250] 1 [-2022:26324:27]
35600bh (1 curve)	1	2- 5+ 89-	2- -3 5+  0 -3  4  4 -2
Curve Equation t Generators 35600bh1 [0,0,0,4925,-722750] 1 [545:12800:1]
35600bi (1 curve)	0	2- 5- 89-	2-  1 5-  2  6  3  5  0
Curve Equation t 35600bi1 [0,1,0,-7208,209588] 1
35600bj (2 curves)	0	2- 5- 89-	2- -1 5- -2 -2  1 -3  0
Curve Equation t 35600bj1 [0,-1,0,-21182008,37530169712] 1 35600bj2 [0,-1,0,-22611208,32178140912] 1
35600bk (1 curve)	2	2- 5- 89-	2- -3 5-  0  0 -1 -7 -8
Curve Equation t Generators 35600bk1 [0,0,0,-475,3850] 1 [-25:10:1]&[5:-40:1]

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