Cremona's table of elliptic curves

34782 = 2 · 3 · 11 · 17 · 31

Class	r	Atkin-Lehner	Eigenvalues
34782a (1 curve)	0	2+ 3+ 11+ 17+ 31-	2+ 3+  3 -2 11+  7 17+ -3
Curve Equation t 34782a1 [1,1,0,-4956,129348] 1
34782b (1 curve)	1	2+ 3+ 11+ 17- 31-	2+ 3+ -3 -3 11+  4 17- -5
Curve Equation t Generators 34782b1 [1,1,0,-619,-3989] 1 [-11:46:1]
34782c (4 curves)	1	2+ 3+ 11- 17+ 31-	2+ 3+  2 -4 11- -2 17+  4
Curve Equation t Generators 34782c1 [1,1,0,-146124,-21555072] 2 [2876:151392:1] 34782c2 [1,1,0,-165344,-15546900] 4 [-7746:82028:27] 34782c3 [1,1,0,512626,-109784730] 2 [288848265:9161571220:658503] 34782c4 [1,1,0,-1150834,463598338] 2 [9916935:500867087:3375]
34782d (1 curve)	0	2+ 3+ 11- 17- 31-	2+ 3+  0 -1 11- -2 17- -1
Curve Equation t 34782d1 [1,1,0,-2165230045,-38780586671651] 1
34782e (1 curve)	0	2+ 3- 11+ 17+ 31+	2+ 3-  0 -1 11+  6 17+ -5
Curve Equation t 34782e1 [1,0,1,14,-28] 1
34782f (1 curve)	1	2+ 3- 11+ 17+ 31-	2+ 3-  1  1 11+  6 17+  1
Curve Equation t Generators 34782f1 [1,0,1,-997453,-19113706] 1 [-116:9806:1]
34782g (1 curve)	1	2+ 3- 11+ 17+ 31-	2+ 3- -1 -5 11+  4 17+ -5
Curve Equation t Generators 34782g1 [1,0,1,-1489,21980] 1 [22:-10:1]
34782h (4 curves)	0	2+ 3- 11+ 17- 31-	2+ 3-  2  0 11+ -6 17-  4
Curve Equation t 34782h1 [1,0,1,1895,-71044] 2 34782h2 [1,0,1,-18585,-849284] 4 34782h3 [1,0,1,-78425,7600124] 4 34782h4 [1,0,1,-286425,-59024132] 2
34782i (2 curves)	0	2+ 3- 11+ 17- 31-	2+ 3-  3 -1 11+  2 17- -7
Curve Equation t 34782i1 [1,0,1,-1262,16472] 3 34782i2 [1,0,1,-15797,-760768] 1
34782j (1 curve)	0	2+ 3- 11+ 17- 31-	2+ 3-  4  1 11+ -6 17-  1
Curve Equation t 34782j1 [1,0,1,1384101,439557094] 1
34782k (2 curves)	0	2+ 3- 11+ 17- 31-	2+ 3-  4  2 11+  4 17-  0
Curve Equation t 34782k1 [1,0,1,-475784,-122869546] 2 34782k2 [1,0,1,139256,-418088746] 2
34782l (2 curves)	1	2+ 3- 11- 17+ 31+	2+ 3-  0  2 11-  0 17+  0
Curve Equation t Generators 34782l1 [1,0,1,-37786,-2772916] 2 [-116:287:1] 34782l2 [1,0,1,4374,-8607860] 2 [380:6735:1]
34782m (2 curves)	0	2+ 3- 11- 17+ 31-	2+ 3-  0  2 11-  5 17+  5
Curve Equation t 34782m1 [1,0,1,2999,-98788] 3 34782m2 [1,0,1,-108376,-13786330] 1
34782n (2 curves)	2	2+ 3- 11- 17+ 31-	2+ 3- -2  0 11- -6 17+ -8
Curve Equation t Generators 34782n1 [1,0,1,-91997,10724024] 2 [-69:4126:1]&[-333:2278:1] 34782n2 [1,0,1,-113077,5437160] 2 [640:13655:1]&[-152:4448:1]
34782o (2 curves)	0	2+ 3- 11- 17- 31+	2+ 3-  0  4 11-  6 17-  6
Curve Equation t 34782o1 [1,0,1,-4496,-31138] 2 34782o2 [1,0,1,17264,-240034] 2
34782p (1 curve)	0	2- 3+ 11+ 17+ 31+	2- 3+  1  4 11+ -3 17+ -5
Curve Equation t 34782p1 [1,1,1,-85545,9594663] 1
34782q (1 curve)	1	2- 3+ 11+ 17- 31+	2- 3+  3  1 11+ -6 17- -1
Curve Equation t Generators 34782q1 [1,1,1,-269649,53781423] 1 [283:344:1]
34782r (1 curve)	1	2- 3+ 11+ 17- 31+	2- 3+ -3 -2 11+  3 17- -1
Curve Equation t Generators 34782r1 [1,1,1,-12,-15] 1 [-3:3:1]
34782s (1 curve)	0	2- 3+ 11- 17+ 31-	2- 3+  4  3 11-  2 17+  5
Curve Equation t 34782s1 [1,1,1,329,14981] 1
34782t (2 curves)	0	2- 3+ 11- 17+ 31-	2- 3+ -4  4 11-  2 17+ -6
Curve Equation t 34782t1 [1,1,1,-46965,3592971] 2 34782t2 [1,1,1,51295,16759811] 2
34782u (2 curves)	1	2- 3+ 11- 17- 31-	2- 3+  0  2 11- -4 17- -4
Curve Equation t Generators 34782u1 [1,1,1,-33,-177] 2 [9:14:1] 34782u2 [1,1,1,-693,-7305] 2 [75:570:1]
34782v (2 curves)	1	2- 3+ 11- 17- 31-	2- 3+  2  2 11-  0 17- -6
Curve Equation t Generators 34782v1 [1,1,1,-10947,428733] 2 [582:945:8] 34782v2 [1,1,1,-174317,27940241] 2 [241390:-101107:1000]
34782w (2 curves)	1	2- 3+ 11- 17- 31-	2- 3+ -4 -2 11-  4 17- -8
Curve Equation t Generators 34782w1 [1,1,1,7735,-119689] 2 [81:-1064:1] 34782w2 [1,1,1,-34505,-1048969] 2 [-163:608:1]
34782x (2 curves)	1	2- 3- 11+ 17+ 31+	2- 3-  0 -2 11+  0 17+  0
Curve Equation t Generators 34782x1 [1,0,0,-1573,24449] 2 [20:-43:1] 34782x2 [1,0,0,-25333,1549841] 2 [-40:1601:1]
34782y (1 curve)	1	2- 3- 11+ 17+ 31+	2- 3-  1 -1 11+  2 17+  7
Curve Equation t Generators 34782y1 [1,0,0,-6338510,6141734244] 1 [1450:-512:1]
34782z (1 curve)	0	2- 3- 11+ 17+ 31-	2- 3-  0 -3 11+ -2 17+  3
Curve Equation t 34782z1 [1,0,0,-3938,-102414] 1
34782ba (4 curves)	0	2- 3- 11+ 17+ 31-	2- 3-  2  4 11+ -2 17+  4
Curve Equation t 34782ba1 [1,0,0,-1692,-81648] 2 34782ba2 [1,0,0,-40412,-3125040] 4 34782ba3 [1,0,0,-54052,-836248] 2 34782ba4 [1,0,0,-646292,-200036040] 2
34782bb (1 curve)	1	2- 3- 11+ 17- 31-	2- 3-  2  0 11+ -3 17-  1
Curve Equation t Generators 34782bb1 [1,0,0,918,49572] 1 [-12:198:1]
34782bc (2 curves)	1	2- 3- 11+ 17- 31-	2- 3-  2 -2 11+ -2 17- -4
Curve Equation t Generators 34782bc1 [1,0,0,-246057,53847513] 2 [-54:8211:1] 34782bc2 [1,0,0,-4095177,3189340665] 2 [1032:7389:1]
34782bd (2 curves)	1	2- 3- 11+ 17- 31-	2- 3- -2 -2 11+  2 17-  4
Curve Equation t Generators 34782bd1 [1,0,0,511,149925] 2 [78:777:1] 34782bd2 [1,0,0,-39419,2937039] 2 [-29046:535199:216]
34782be (1 curve)	1	2- 3- 11- 17+ 31-	2- 3-  0  2 11- -3 17+ -1
Curve Equation t Generators 34782be1 [1,0,0,647187,-11454242607] 1 [2976:128247:1]
34782bf (1 curve)	1	2- 3- 11- 17+ 31-	2- 3-  1  0 11- -3 17+  1
Curve Equation t Generators 34782bf1 [1,0,0,-980,11664] 1 [16:4:1]
34782bg (1 curve)	1	2- 3- 11- 17+ 31-	2- 3- -2  4 11- -1 17+  1
Curve Equation t Generators 34782bg1 [1,0,0,-409,5165] 1 [2:65:1]
34782bh (1 curve)	1	2- 3- 11- 17+ 31-	2- 3- -3 -1 11-  0 17+  5
Curve Equation t Generators 34782bh1 [1,0,0,-292,-1936] 1 [-10:8:1]
34782bi (1 curve)	1	2- 3- 11- 17- 31+	2- 3- -1 -2 11-  5 17-  1
Curve Equation t Generators 34782bi1 [1,0,0,-126616,-7910848] 1 [-304:1736:1]
34782bj (2 curves)	0	2- 3- 11- 17- 31-	2- 3-  1 -2 11- -1 17-  5
Curve Equation t 34782bj1 [1,0,0,-21250,1067204] 5 34782bj2 [1,0,0,-3074110,-2074821496] 1

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