Cremona's table of elliptic curves

87840 = 2⁵ · 3² · 5 · 61

Class	r	Atkin-Lehner	Eigenvalues
87840a (2 curves)	1	2+ 3+ 5+ 61+	2+ 3+ 5+  4  0 -4  2  4
Curve Equation t Generators 87840a1 [0,0,0,27,-36828] 2 [406479:448956:12167] 87840a2 [0,0,0,-16443,-797742] 2 [788485678:-70957649609:97336]
87840b (1 curve)	2	2+ 3+ 5+ 61-	2+ 3+ 5+  1 -4  0 -4 -1
Curve Equation t Generators 87840b1 [0,0,0,-48168,4094928] 1 [-159:2781:1]&[136:244:1]
87840c (1 curve)	0	2+ 3+ 5+ 61-	2+ 3+ 5+ -3  4 -4  0  1
Curve Equation t 87840c1 [0,0,0,3672,168048] 1
87840d (2 curves)	2	2+ 3+ 5- 61+	2+ 3+ 5- -4  0 -4 -2 -4
Curve Equation t Generators 87840d1 [0,0,0,3,-1364] 2 [12:20:1]&[17:60:1] 87840d2 [0,0,0,-1827,-29546] 2 [-27:10:1]&[78:550:1]
87840e (1 curve)	1	2+ 3+ 5- 61-	2+ 3+ 5-  1  4 -7  0  4
Curve Equation t Generators 87840e1 [0,0,0,1053,-2214] 1 [102:1080:1]
87840f (1 curve)	1	2+ 3+ 5- 61-	2+ 3+ 5- -1 -4  0  4  1
Curve Equation t Generators 87840f1 [0,0,0,-5352,151664] 1 [25:183:1]
87840g (1 curve)	1	2+ 3+ 5- 61-	2+ 3+ 5- -1 -4 -7  0 -4
Curve Equation t Generators 87840g1 [0,0,0,1053,2214] 1 [33:270:1]
87840h (1 curve)	1	2+ 3+ 5- 61-	2+ 3+ 5-  3  4 -4  0 -1
Curve Equation t Generators 87840h1 [0,0,0,408,6224] 1 [8:-100:1]
87840i (1 curve)	0	2+ 3- 5+ 61+	2+ 3- 5+  0  6 -1 -3  1
Curve Equation t 87840i1 [0,0,0,-35283,2566438] 1
87840j (1 curve)	0	2+ 3- 5+ 61+	2+ 3- 5+  1  0 -6  0  5
Curve Equation t 87840j1 [0,0,0,-408,-4048] 1
87840k (1 curve)	2	2+ 3- 5+ 61+	2+ 3- 5+ -1  0 -6  0 -5
Curve Equation t Generators 87840k1 [0,0,0,-408,4048] 1 [-24:4:1]&[8:-36:1]
87840l (1 curve)	0	2+ 3- 5+ 61+	2+ 3- 5+  5  0  2  4 -1
Curve Equation t 87840l1 [0,0,0,466872,-68019248] 1
87840m (1 curve)	1	2+ 3- 5+ 61-	2+ 3- 5+ -4 -2  7 -1  3
Curve Equation t Generators 87840m1 [0,0,0,117,162] 1 [18:90:1]
87840n (2 curves)	1	2+ 3- 5- 61+	2+ 3- 5-  2  0  2 -2  8
Curve Equation t Generators 87840n1 [0,0,0,-5581497,5075445364] 2 [1283:5130:1] 87840n2 [0,0,0,-5581452,5075531296] 2 [1322:2700:1]
87840o (2 curves)	1	2+ 3- 5- 61+	2+ 3- 5-  2  0  2  4  0
Curve Equation t Generators 87840o1 [0,0,0,-6357,-122056] 2 [-47:270:1] 87840o2 [0,0,0,-90732,-10517056] 2 [-172:20:1]
87840p (1 curve)	1	2+ 3- 5- 61+	2+ 3- 5-  2  0  5  7 -7
Curve Equation t Generators 87840p1 [0,0,0,-1947,76786] 1 [2:270:1]
87840q (2 curves)	1	2+ 3- 5- 61+	2+ 3- 5-  2  2 -2 -6  0
Curve Equation t Generators 87840q1 [0,0,0,-657,6156] 2 [27:-90:1] 87840q2 [0,0,0,468,25056] 2 [12:180:1]
87840r (2 curves)	1	2+ 3- 5- 61+	2+ 3- 5-  2 -6 -2  6  0
Curve Equation t Generators 87840r1 [0,0,0,-18057,-933356] 2 [213:2210:1] 87840r2 [0,0,0,-14412,-1321184] 2 [242:3060:1]
87840s (2 curves)	1	2+ 3- 5- 61+	2+ 3- 5- -2  0  2  4  0
Curve Equation t Generators 87840s1 [0,0,0,-6357,122056] 2 [-13:450:1] 87840s2 [0,0,0,-90732,10517056] 2 [182:180:1]
87840t (1 curve)	1	2+ 3- 5- 61+	2+ 3- 5- -3  0 -2  0  5
Curve Equation t Generators 87840t1 [0,0,0,-17832,-1101584] 1 [2945:159651:1]
87840u (2 curves)	0	2+ 3- 5- 61-	2+ 3- 5-  0  4  2  6 -4
Curve Equation t 87840u1 [0,0,0,-1137,9884] 2 87840u2 [0,0,0,-7212,-228256] 2
87840v (2 curves)	0	2+ 3- 5- 61-	2+ 3- 5-  4  2 -6  0  4
Curve Equation t 87840v1 [0,0,0,-597,-4264] 2 87840v2 [0,0,0,1428,-26944] 2
87840w (2 curves)	2	2+ 3- 5- 61-	2+ 3- 5- -4 -2 -6  0 -4
Curve Equation t Generators 87840w1 [0,0,0,-597,4264] 2 [-7:90:1]&[3:50:1] 87840w2 [0,0,0,1428,26944] 2 [-10:108:1]&[20:252:1]
87840x (2 curves)	2	2- 3+ 5+ 61+	2- 3+ 5+ -4  0 -4  2 -4
Curve Equation t Generators 87840x1 [0,0,0,27,36828] 2 [-8:190:1]&[21:216:1] 87840x2 [0,0,0,-16443,797742] 2 [-59:1250:1]&[82:28:1]
87840y (1 curve)	1	2- 3+ 5+ 61-	2- 3+ 5+  1 -4 -7  0  4
Curve Equation t Generators 87840y1 [0,0,0,117,82] 1 [2:18:1]
87840z (1 curve)	1	2- 3+ 5+ 61-	2- 3+ 5+ -1  4  0 -4  1
Curve Equation t Generators 87840z1 [0,0,0,-48168,-4094928] 1 [1084:34892:1]
87840ba (1 curve)	1	2- 3+ 5+ 61-	2- 3+ 5+ -1  4 -7  0 -4
Curve Equation t Generators 87840ba1 [0,0,0,117,-82] 1 [1:6:1]
87840bb (1 curve)	1	2- 3+ 5+ 61-	2- 3+ 5+  3 -4 -4  0 -1
Curve Equation t Generators 87840bb1 [0,0,0,3672,-168048] 1 [249:4023:1]
87840bc (2 curves)	1	2- 3+ 5- 61+	2- 3+ 5-  4  0 -4 -2  4
Curve Equation t Generators 87840bc1 [0,0,0,3,1364] 2 [13:60:1] 87840bc2 [0,0,0,-1827,29546] 2 [-38:210:1]
87840bd (1 curve)	0	2- 3+ 5- 61-	2- 3+ 5-  1  4  0  4 -1
Curve Equation t 87840bd1 [0,0,0,-5352,-151664] 1
87840be (1 curve)	2	2- 3+ 5- 61-	2- 3+ 5- -3 -4 -4  0  1
Curve Equation t Generators 87840be1 [0,0,0,408,-6224] 1 [12:20:1]&[17:75:1]
87840bf (1 curve)	1	2- 3- 5+ 61+	2- 3- 5+  0 -6 -1 -3 -1
Curve Equation t Generators 87840bf1 [0,0,0,-35283,-2566438] 1 [11071862:523714644:4913]
87840bg (1 curve)	1	2- 3- 5+ 61+	2- 3- 5+ -5  0  2  4  1
Curve Equation t Generators 87840bg1 [0,0,0,466872,68019248] 1 [2396:122236:1]
87840bh (1 curve)	0	2- 3- 5+ 61-	2- 3- 5+  3 -2  3  2 -6
Curve Equation t 87840bh1 [0,0,0,-17643,-1059442] 1
87840bi (1 curve)	0	2- 3- 5+ 61-	2- 3- 5+ -3  2  3  2  6
Curve Equation t 87840bi1 [0,0,0,-17643,1059442] 1
87840bj (1 curve)	0	2- 3- 5+ 61-	2- 3- 5+  4  2  7 -1 -3
Curve Equation t 87840bj1 [0,0,0,117,-162] 1
87840bk (1 curve)	0	2- 3- 5- 61+	2- 3- 5-  1  0 -2 -4  7
Curve Equation t 87840bk1 [0,0,0,-211512,-37548016] 1
87840bl (1 curve)	2	2- 3- 5- 61+	2- 3- 5- -1  0 -2 -4 -7
Curve Equation t Generators 87840bl1 [0,0,0,-211512,37548016] 1 [-148:8100:1]&[-100:7596:1]
87840bm (2 curves)	0	2- 3- 5- 61+	2- 3- 5- -2  0  2 -2 -8
Curve Equation t 87840bm1 [0,0,0,-5581497,-5075445364] 2 87840bm2 [0,0,0,-5581452,-5075531296] 2
87840bn (1 curve)	0	2- 3- 5- 61+	2- 3- 5- -2  0  5  7  7
Curve Equation t 87840bn1 [0,0,0,-1947,-76786] 1
87840bo (2 curves)	2	2- 3- 5- 61+	2- 3- 5- -2 -2 -2 -6  0
Curve Equation t Generators 87840bo1 [0,0,0,-657,-6156] 2 [-17:10:1]&[-15:18:1] 87840bo2 [0,0,0,468,-25056] 2 [28:100:1]&[60:468:1]
87840bp (2 curves)	0	2- 3- 5- 61+	2- 3- 5- -2  6 -2  6  0
Curve Equation t 87840bp1 [0,0,0,-18057,933356] 2 87840bp2 [0,0,0,-14412,1321184] 2
87840bq (1 curve)	0	2- 3- 5- 61+	2- 3- 5-  3  0 -2  0 -5
Curve Equation t 87840bq1 [0,0,0,-17832,1101584] 1
87840br (2 curves)	1	2- 3- 5- 61-	2- 3- 5-  0  2  2  8 -4
Curve Equation t Generators 87840br1 [0,0,0,-2722557,-1729072856] 2 [12920:1455948:1] 87840br2 [0,0,0,-2704332,-1753363136] 2 [4062378820:457805312991:314432]
87840bs (2 curves)	1	2- 3- 5- 61-	2- 3- 5-  0 -2  2  8  4
Curve Equation t Generators 87840bs1 [0,0,0,-2722557,1729072856] 2 [805:7686:1] 87840bs2 [0,0,0,-2704332,1753363136] 2 [1085:9821:1]
87840bt (4 curves)	1	2- 3- 5- 61-	2- 3- 5-  0  4 -6  2  0
Curve Equation t Generators 87840bt1 [0,0,0,-45777,-3762304] 4 [607:13860:1] 87840bt2 [0,0,0,-29307,-6506206] 2 [801878:18562950:1331] 87840bt3 [0,0,0,-62652,-738304] 4 [-38:1260:1] 87840bt4 [0,0,0,-732027,-241067554] 2 [7906:6545:8]
87840bu (2 curves)	1	2- 3- 5- 61-	2- 3- 5-  0 -4  2  6  4
Curve Equation t Generators 87840bu1 [0,0,0,-1137,-9884] 2 [-25:54:1] 87840bu2 [0,0,0,-7212,228256] 2 [380:7236:1]
87840bv (4 curves)	1	2- 3- 5- 61-	2- 3- 5-  0 -4 -6  2  0
Curve Equation t Generators 87840bv1 [0,0,0,-45777,3762304] 4 [-97:2700:1] 87840bv2 [0,0,0,-29307,6506206] 4 [497:10710:1] 87840bv3 [0,0,0,-62652,738304] 2 [293:2745:1] 87840bv4 [0,0,0,-732027,241067554] 2 [818:13770:1]
87840bw (1 curve)	1	2- 3- 5- 61-	2- 3- 5-  3 -2 -3  2 -6
Curve Equation t Generators 87840bw1 [0,0,0,-467787,123146066] 1 [322:2430:1]
87840bx (1 curve)	1	2- 3- 5- 61-	2- 3- 5- -3  2 -3  2  6
Curve Equation t Generators 87840bx1 [0,0,0,-467787,-123146066] 1 [9833:972630:1]
87840by (2 curves)	1	2- 3- 5- 61-	2- 3- 5-  4 -4  2  0  4
Curve Equation t Generators 87840by1 [0,0,0,-1317,-16976] 2 [-25:18:1] 87840by2 [0,0,0,1428,-78464] 2 [36:140:1]
87840bz (2 curves)	1	2- 3- 5- 61-	2- 3- 5- -4  4  2  0 -4
Curve Equation t Generators 87840bz1 [0,0,0,-1317,16976] 2 [7:90:1] 87840bz2 [0,0,0,1428,78464] 2 [13:315:1]

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