Cremona's table of elliptic curves

112800 = 2⁵ · 3 · 5² · 47

Class	r	Atkin-Lehner	Eigenvalues
112800a (1 curve)	1	2+ 3+ 5+ 47+	2+ 3+ 5+  0  2  1  2 -2
Curve Equation t Generators 112800a1 [0,-1,0,-13133,641637] 1 [-13:900:1]
112800b (2 curves)	1	2+ 3+ 5+ 47+	2+ 3+ 5+  0  2  4  2 -2
Curve Equation t Generators 112800b1 [0,-1,0,-108958,-13975088] 2 [124444348078873973:-2850553265727419154:175870138491683] 112800b2 [0,-1,0,-1749208,-889868588] 2 [-23406887444:-361924038:30664297]
112800c (2 curves)	1	2+ 3+ 5+ 47+	2+ 3+ 5+  0 -4  4 -4 -2
Curve Equation t Generators 112800c1 [0,-1,0,-3658,-45188] 2 [68:126:1] 112800c2 [0,-1,0,11967,-342063] 2 [121:1692:1]
112800d (1 curve)	1	2+ 3+ 5+ 47+	2+ 3+ 5+ -1  0 -1  0 -4
Curve Equation t Generators 112800d1 [0,-1,0,-67125208,-211614488588] 1 [2300115208135425902212256452:95796241235160644652320048226:223878633518177588435129]
112800e (1 curve)	1	2+ 3+ 5+ 47+	2+ 3+ 5+ -1  6 -1  3 -1
Curve Equation t Generators 112800e1 [0,-1,0,-2033,-36063] 1 [607:14900:1]
112800f (2 curves)	1	2+ 3+ 5+ 47+	2+ 3+ 5+ -4 -2 -4  6 -8
Curve Equation t Generators 112800f1 [0,-1,0,-58,-8888] 2 [47:300:1] 112800f2 [0,-1,0,-6808,-211388] 2 [-48:50:1]
112800g (2 curves)	0	2+ 3+ 5+ 47-	2+ 3+ 5+  0  0  2 -2 -6
Curve Equation t 112800g1 [0,-1,0,-458,-80088] 2 112800g2 [0,-1,0,-30833,-2054463] 2
112800h (2 curves)	0	2+ 3+ 5+ 47-	2+ 3+ 5+  0 -2  4 -6  6
Curve Equation t 112800h1 [0,-1,0,242,2512] 2 112800h2 [0,-1,0,-2008,29512] 2
112800i (1 curve)	0	2+ 3+ 5+ 47-	2+ 3+ 5+ -1 -3 -2  0  0
Curve Equation t 112800i1 [0,-1,0,-69533,6244437] 1
112800j (1 curve)	0	2+ 3+ 5+ 47-	2+ 3+ 5+  3  0  5  4 -4
Curve Equation t 112800j1 [0,-1,0,-25208,-1488588] 1
112800k (1 curve)	0	2+ 3+ 5+ 47-	2+ 3+ 5+  3  1 -2  0  0
Curve Equation t 112800k1 [0,-1,0,-43533,-3481563] 1
112800l (1 curve)	0	2+ 3+ 5+ 47-	2+ 3+ 5+  3 -3  2  4  0
Curve Equation t 112800l1 [0,-1,0,-4733,126837] 1
112800m (1 curve)	0	2+ 3+ 5+ 47-	2+ 3+ 5+  3 -6  5  7 -7
Curve Equation t 112800m1 [0,-1,0,-5427633,4878727137] 1
112800n (1 curve)	2	2+ 3+ 5- 47+	2+ 3+ 5- -3 -2 -5 -6  5
Curve Equation t Generators 112800n1 [0,-1,0,-4333,112837] 1 [3:316:1]&[36:47:1]
112800o (2 curves)	0	2+ 3- 5+ 47+	2+ 3- 5+  0  2  4 -6 -6
Curve Equation t 112800o1 [0,1,0,242,-2512] 2 112800o2 [0,1,0,-2008,-29512] 2
112800p (2 curves)	0	2+ 3- 5+ 47+	2+ 3- 5+ -2  2  2  6  0
Curve Equation t 112800p1 [0,1,0,-658,10688] 2 112800p2 [0,1,0,-12408,527688] 2
112800q (1 curve)	0	2+ 3- 5+ 47+	2+ 3- 5+ -2  3  2  4  0
Curve Equation t 112800q1 [0,1,0,-48,-612] 1
112800r (1 curve)	0	2+ 3- 5+ 47+	2+ 3- 5+ -3  0  5  4  4
Curve Equation t 112800r1 [0,1,0,-25208,1488588] 1
112800s (1 curve)	0	2+ 3- 5+ 47+	2+ 3- 5+ -3 -1 -2  0  0
Curve Equation t 112800s1 [0,1,0,-43533,3481563] 1
112800t (1 curve)	0	2+ 3- 5+ 47+	2+ 3- 5+ -3  6  5  7  7
Curve Equation t 112800t1 [0,1,0,-5427633,-4878727137] 1
112800u (1 curve)	0	2+ 3- 5+ 47+	2+ 3- 5+  4 -6 -1 -2 -6
Curve Equation t 112800u1 [0,1,0,-1761533,-908080437] 1
112800v (1 curve)	1	2+ 3- 5+ 47-	2+ 3- 5+  0 -2  1  2  2
Curve Equation t Generators 112800v1 [0,1,0,-13133,-641637] 1 [313:5100:1]
112800w (2 curves)	1	2+ 3- 5+ 47-	2+ 3- 5+  0 -2  4  2  2
Curve Equation t Generators 112800w1 [0,1,0,-108958,13975088] 2 [104:1944:1] 112800w2 [0,1,0,-1749208,889868588] 2 [779:756:1]
112800x (4 curves)	1	2+ 3- 5+ 47-	2+ 3- 5+  0  4 -2  6 -4
Curve Equation t Generators 112800x1 [0,1,0,-17658,-903312] 4 [9528:930000:1] 112800x2 [0,1,0,-6408,-2028312] 4 [4878216:476171625:512] 112800x3 [0,1,0,-29408,436188] 2 [-77:1500:1] 112800x4 [0,1,0,-282033,-57743937] 2 [1191705:116180064:125]
112800y (2 curves)	1	2+ 3- 5+ 47-	2+ 3- 5+  0  4  4 -4  2
Curve Equation t Generators 112800y1 [0,1,0,-3658,45188] 2 [1938:10718:27] 112800y2 [0,1,0,11967,342063] 2 [27:828:1]
112800z (1 curve)	1	2+ 3- 5+ 47-	2+ 3- 5+  1  0 -1  0  4
Curve Equation t Generators 112800z1 [0,1,0,-67125208,211614488588] 1 [49287502:107768697:10648]
112800ba (1 curve)	1	2+ 3- 5+ 47-	2+ 3- 5+  1  1  2 -4  4
Curve Equation t Generators 112800ba1 [0,1,0,-971933,-248745237] 1 [-791:5076:1]
112800bb (1 curve)	1	2+ 3- 5+ 47-	2+ 3- 5+  1 -6 -1  3  1
Curve Equation t Generators 112800bb1 [0,1,0,-2033,36063] 1 [18:75:1]
112800bc (2 curves)	1	2+ 3- 5+ 47-	2+ 3- 5+ -2 -2  2  2  4
Curve Equation t Generators 112800bc1 [0,1,0,2342,4688] 2 [3576:44000:27] 112800bc2 [0,1,0,-9408,28188] 2 [-249072:2522025:4096]
112800bd (4 curves)	1	2+ 3- 5+ 47-	2+ 3- 5+  4  0 -2 -2  4
Curve Equation t Generators 112800bd1 [0,1,0,-19658,1040688] 4 [23902:3695328:1] 112800bd2 [0,1,0,-2033,2856063] 2 [52512369:-8118686016:2197] 112800bd3 [0,1,0,-38408,-1284312] 2 [72534:105750:343] 112800bd4 [0,1,0,-313408,67428188] 2 [-637:3000:1]
112800be (1 curve)	1	2+ 3- 5+ 47-	2+ 3- 5+ -5  4  5  5  1
Curve Equation t Generators 112800be1 [0,1,0,-1633,-461137] 1 [143:-1500:1]
112800bf (1 curve)	1	2+ 3- 5- 47+	2+ 3- 5- -2 -3 -2 -4  0
Curve Equation t Generators 112800bf1 [0,1,0,-1208,74088] 1 [58:-450:1]
112800bg (1 curve)	0	2+ 3- 5- 47-	2+ 3- 5-  3  2 -5 -6 -5
Curve Equation t 112800bg1 [0,1,0,-4333,-112837] 1
112800bh (2 curves)	0	2+ 3- 5- 47-	2+ 3- 5-  4  4  6  2  4
Curve Equation t 112800bh1 [0,1,0,102,1008] 2 112800bh2 [0,1,0,-1073,11583] 2
112800bi (2 curves)	0	2+ 3- 5- 47-	2+ 3- 5-  4 -4 -6 -2 -4
Curve Equation t 112800bi1 [0,1,0,2542,-120912] 2 112800bi2 [0,1,0,-26833,-1501537] 2
112800bj (4 curves)	0	2- 3+ 5+ 47+	2- 3+ 5+  0 -4 -2  6  4
Curve Equation t 112800bj1 [0,-1,0,-17658,903312] 4 112800bj2 [0,-1,0,-6408,2028312] 2 112800bj3 [0,-1,0,-29408,-436188] 2 112800bj4 [0,-1,0,-282033,57743937] 4
112800bk (1 curve)	0	2- 3+ 5+ 47+	2- 3+ 5+ -1 -1  2 -4 -4
Curve Equation t 112800bk1 [0,-1,0,-971933,248745237] 1
112800bl (1 curve)	0	2- 3+ 5+ 47+	2- 3+ 5+ -1 -5  6  0  4
Curve Equation t 112800bl1 [0,-1,0,-1133,5637] 1
112800bm (2 curves)	0	2- 3+ 5+ 47+	2- 3+ 5+  2  2  2  2 -4
Curve Equation t 112800bm1 [0,-1,0,2342,-4688] 2 112800bm2 [0,-1,0,-9408,-28188] 2
112800bn (1 curve)	0	2- 3+ 5+ 47+	2- 3+ 5+  3 -2  1 -7  5
Curve Equation t 112800bn1 [0,-1,0,65967,-11232063] 1
112800bo (1 curve)	0	2- 3+ 5+ 47+	2- 3+ 5+ -3  2  5  6 -5
Curve Equation t 112800bo1 [0,-1,0,-108333,-13887963] 1
112800bp (4 curves)	0	2- 3+ 5+ 47+	2- 3+ 5+ -4  0 -2 -2 -4
Curve Equation t 112800bp1 [0,-1,0,-19658,-1040688] 4 112800bp2 [0,-1,0,-2033,-2856063] 2 112800bp3 [0,-1,0,-38408,1284312] 2 112800bp4 [0,-1,0,-313408,-67428188] 2
112800bq (1 curve)	0	2- 3+ 5+ 47+	2- 3+ 5+  5 -4  5  5 -1
Curve Equation t 112800bq1 [0,-1,0,-1633,461137] 1
112800br (2 curves)	1	2- 3+ 5+ 47-	2- 3+ 5+  2 -2  2  6  0
Curve Equation t Generators 112800br1 [0,-1,0,-658,-10688] 2 [522:11900:1] 112800br2 [0,-1,0,-12408,-527688] 2 [180691:4041750:343]
112800bs (1 curve)	1	2- 3+ 5+ 47-	2- 3+ 5+  2 -3  2  4  0
Curve Equation t Generators 112800bs1 [0,-1,0,-48,612] 1 [8:26:1]
112800bt (1 curve)	1	2- 3+ 5+ 47-	2- 3+ 5+ -4  6 -1 -2  6
Curve Equation t Generators 112800bt1 [0,-1,0,-1761533,908080437] 1 [-853:42300:1]
112800bu (1 curve)	1	2- 3+ 5- 47+	2- 3+ 5- -1  0  1  0  4
Curve Equation t Generators 112800bu1 [0,-1,0,-2685008,1693989912] 1 [7418:6689:8]
112800bv (2 curves)	1	2- 3+ 5- 47+	2- 3+ 5- -4  4 -6 -2  4
Curve Equation t Generators 112800bv1 [0,-1,0,2542,120912] 2 [-32:76:1] 112800bv2 [0,-1,0,-26833,1501537] 2 [-183:500:1]
112800bw (2 curves)	1	2- 3+ 5- 47+	2- 3+ 5- -4 -4  6  2 -4
Curve Equation t Generators 112800bw1 [0,-1,0,102,-1008] 2 [8:16:1] 112800bw2 [0,-1,0,-1073,-11583] 2 [-23:20:1]
112800bx (1 curve)	0	2- 3+ 5- 47-	2- 3+ 5-  2  3 -2 -4  0
Curve Equation t 112800bx1 [0,-1,0,-1208,-74088] 1
112800by (1 curve)	0	2- 3+ 5- 47-	2- 3+ 5-  3  0 -5 -4  4
Curve Equation t 112800by1 [0,-1,0,-1008,12312] 1
112800bz (2 curves)	1	2- 3- 5+ 47+	2- 3- 5+  0  0  2 -2  6
Curve Equation t Generators 112800bz1 [0,1,0,-458,80088] 2 [28:300:1] 112800bz2 [0,1,0,-30833,2054463] 2 [43:900:1]
112800ca (1 curve)	1	2- 3- 5+ 47+	2- 3- 5+  1  3 -2  0  0
Curve Equation t Generators 112800ca1 [0,1,0,-69533,-6244437] 1 [-191:324:1]
112800cb (1 curve)	1	2- 3- 5+ 47+	2- 3- 5+ -3  3  2  4  0
Curve Equation t Generators 112800cb1 [0,1,0,-4733,-126837] 1 [-364371:45044:9261]
112800cc (1 curve)	0	2- 3- 5+ 47-	2- 3- 5+  1  5  6  0 -4
Curve Equation t 112800cc1 [0,1,0,-1133,-5637] 1
112800cd (1 curve)	0	2- 3- 5+ 47-	2- 3- 5+  3 -2  5  6  5
Curve Equation t 112800cd1 [0,1,0,-108333,13887963] 1
112800ce (1 curve)	2	2- 3- 5+ 47-	2- 3- 5+ -3  2  1 -7 -5
Curve Equation t Generators 112800ce1 [0,1,0,65967,11232063] 1 [3543:211500:1]&[-81:2316:1]
112800cf (2 curves)	0	2- 3- 5+ 47-	2- 3- 5+  4  2 -4  6  8
Curve Equation t 112800cf1 [0,1,0,-58,8888] 2 112800cf2 [0,1,0,-6808,211388] 2
112800cg (1 curve)	2	2- 3- 5- 47+	2- 3- 5- -3  0 -5 -4 -4
Curve Equation t Generators 112800cg1 [0,1,0,-1008,-12312] 1 [-21:6:1]&[-18:18:1]
112800ch (1 curve)	1	2- 3- 5- 47-	2- 3- 5-  1  0  1  0 -4
Curve Equation t Generators 112800ch1 [0,1,0,-2685008,-1693989912] 1 [55506:1038230:27]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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