Cremona's table of elliptic curves

85782 = 2 · 3 · 17 · 29²

Class	r	Atkin-Lehner	Eigenvalues
85782a (1 curve)	1	2+ 3+ 17+ 29+	2+ 3+  2 -4  6  0 17+ -2
Curve Equation t Generators 85782a1 [1,1,0,331,-15987] 1 [15021:206:729]
85782b (6 curves)	1	2+ 3+ 17+ 29+	2+ 3+ -2  0  4 -2 17+ -4
Curve Equation t Generators 85782b1 [1,1,0,-28611,1715661] 2 [-738:15507:8] 85782b2 [1,1,0,-95891,-9466275] 4 [-1250:11155:8] 85782b3 [1,1,0,190049,-54816359] 2 [21043958:-774812869:17576] 85782b4 [1,1,0,-1458311,-678414495] 4 [-694490:430419:1000] 85782b5 [1,1,0,-1382621,-751879209] 2 [10358389930:-1803904883647:343000] 85782b6 [1,1,0,-23332721,-43390387461] 2 [-266217006098570:133132329615503:95443993000]
85782c (2 curves)	0	2+ 3+ 17+ 29-	2+ 3+  0  0 -4 -2 17+  2
Curve Equation t 85782c1 [1,1,0,-10515,-419667] 2 85782c2 [1,1,0,-168275,-26639379] 2
85782d (1 curve)	2	2+ 3+ 17- 29+	2+ 3+  0  1  1 -3 17- -4
Curve Equation t Generators 85782d1 [1,1,0,-75,369] 1 [3:-15:1]&[-4:27:1]
85782e (1 curve)	0	2+ 3+ 17- 29+	2+ 3+  2  1 -4  3 17- -5
Curve Equation t 85782e1 [1,1,0,-2962019,-1963438947] 1
85782f (1 curve)	1	2+ 3+ 17- 29-	2+ 3+ -2  4 -2 -4 17-  2
Curve Equation t Generators 85782f1 [1,1,0,-831766,296892364] 1 [1615255:36962959:4913]
85782g (2 curves)	0	2+ 3- 17+ 29+	2+ 3- -2  4 -4  2 17+ -2
Curve Equation t 85782g1 [1,0,1,-24407,-4702534] 2 85782g2 [1,0,1,-596287,-176952790] 2
85782h (2 curves)	1	2+ 3- 17+ 29-	2+ 3-  0 -1  3 -1 17+  2
Curve Equation t Generators 85782h1 [1,0,1,-124486,22692200] 3 [-95:5849:1] 85782h2 [1,0,1,973019,-270561136] 1 [555628645:33092050202:166375]
85782i (1 curve)	1	2+ 3- 17+ 29-	2+ 3- -4 -3  6 -7 17+ -5
Curve Equation t Generators 85782i1 [1,0,1,3216807,2958835132] 1 [11003:1165170:1]
85782j (1 curve)	0	2+ 3- 17- 29-	2+ 3-  0  3 -2  1 17-  7
Curve Equation t 85782j1 [1,0,1,-553510896,5012355489214] 1
85782k (1 curve)	1	2- 3+ 17+ 29-	2- 3+  0  3  2  1 17+ -7
Curve Equation t Generators 85782k1 [1,1,1,-658158,205244715] 1 [433:1079:1]
85782l (2 curves)	1	2- 3+ 17- 29+	2- 3+  0 -1 -3 -1 17- -2
Curve Equation t Generators 85782l1 [1,1,1,-148,869] 1 [11:21:1] 85782l2 [1,1,1,1157,-10615] 1 [83:-858:1]
85782m (4 curves)	1	2- 3+ 17- 29+	2- 3+  0  2  0  2 17-  4
Curve Equation t Generators 85782m1 [1,1,1,-214893,38238819] 2 [67:4880:1] 85782m2 [1,1,1,-181253,50658707] 2 [34755:1963144:343] 85782m3 [1,1,1,-631188,-146187435] 2 [-515:6785:1] 85782m4 [1,1,1,1521772,-924697771] 2 [1167:48835:1]
85782n (1 curve)	2	2- 3+ 17- 29-	2- 3+ -4 -3 -6 -7 17-  5
Curve Equation t Generators 85782n1 [1,1,1,3825,122901] 1 [147:1898:1]&[-23:164:1]
85782o (1 curve)	1	2- 3- 17+ 29+	2- 3- -2  4  2 -4 17+ -2
Curve Equation t Generators 85782o1 [1,0,0,-989,12105] 1 [28:67:1]
85782p (1 curve)	0	2- 3- 17+ 29-	2- 3-  0  1 -1 -3 17+  4
Curve Equation t 85782p1 [1,0,0,-63513,9759933] 1
85782q (2 curves)	0	2- 3- 17- 29+	2- 3- -4 -2  0 -6 17- -4
Curve Equation t 85782q1 [1,0,0,-2120,23676] 2 85782q2 [1,0,0,6290,166646] 2
85782r (2 curves)	1	2- 3- 17- 29-	2- 3-  0  0  4 -2 17- -2
Curve Equation t Generators 85782r1 [1,0,0,-8843553,-10129137591] 2 [86725822334049990:10728890260076308013:5413764207879] 85782r2 [1,0,0,-141519713,-648009579639] 2 [59122639507417606539788560929324:5372808451506075263683641052980149:3261416686170571790518112847]
85782s (1 curve)	1	2- 3- 17- 29-	2- 3-  2 -4 -6  0 17-  2
Curve Equation t Generators 85782s1 [1,0,0,277933,-393243903] 1 [57396:2644841:27]

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