Cremona's table of elliptic curves

106782 = 2 · 3 · 13 · 37²

Class	r	Atkin-Lehner	Eigenvalues
106782a (1 curve)	1	2+ 3+ 13+ 37+	2+ 3+  0  2  0 13+  0  5
Curve Equation t Generators 106782a1 [1,1,0,-65,-267] 1 [271:4334:1]
106782b (2 curves)	2	2+ 3+ 13+ 37-	2+ 3+  2  0  0 13+ -6 -4
Curve Equation t Generators 106782b1 [1,1,0,-1619,-25575] 2 [-25:20:1]&[-23:24:1] 106782b2 [1,1,0,-509,-58653] 2 [49:168:1]&[199:2688:1]
106782c (4 curves)	0	2+ 3+ 13+ 37-	2+ 3+  2 -2 -2 13+ -2  4
Curve Equation t 106782c1 [1,1,0,-8219504,-9022553460] 2 106782c2 [1,1,0,-131306294,-579185182098] 2 106782c3 [1,1,0,-393435569,3003378471765] 2 106782c4 [1,1,0,-417749009,2611158920373] 2
106782d (2 curves)	0	2+ 3+ 13- 37+	2+ 3+  2  2  0 13-  0  8
Curve Equation t 106782d1 [1,1,0,-101334,-7031340] 2 106782d2 [1,1,0,-1415574,-648643308] 2
106782e (1 curve)	0	2+ 3+ 13- 37+	2+ 3+  3 -2  0 13- -1 -6
Curve Equation t 106782e1 [1,1,0,-105929141,419673084333] 1
106782f (2 curves)	1	2+ 3+ 13- 37-	2+ 3+ -2  2 -4 13- -4 -4
Curve Equation t Generators 106782f1 [1,1,0,-1077431,428536545] 2 [521:2732:1] 106782f2 [1,1,0,-570901,833254015] 2 [887845:-44778665:343]
106782g (1 curve)	1	2+ 3- 13- 37+	2+ 3-  2 -4 -4 13- -2  3
Curve Equation t Generators 106782g1 [1,0,1,11281900,1651531538] 1 [41755092:33706301629:64]
106782h (1 curve)	1	2+ 3- 13- 37+	2+ 3-  3 -2  0 13-  3  2
Curve Equation t Generators 106782h1 [1,0,1,8,278] 1 [4:-22:1]
106782i (2 curves)	0	2- 3+ 13+ 37+	2- 3+ -2  4  2 13+  4 -4
Curve Equation t 106782i1 [1,1,1,-18775179,-31320782679] 2 106782i2 [1,1,1,-18693039,-31608305535] 2
106782j (4 curves)	0	2- 3+ 13+ 37+	2- 3+ -2  4 -4 13+ -2  8
Curve Equation t 106782j1 [1,1,1,-26724,35094501] 2 106782j2 [1,1,1,-1779044,904245221] 4 106782j3 [1,1,1,-3202804,-749594395] 2 106782j4 [1,1,1,-28392404,58218777317] 2
106782k (1 curve)	2	2- 3+ 13+ 37+	2- 3+ -3 -2  0 13+  1  6
Curve Equation t Generators 106782k1 [1,1,1,-77377,8253887] 1 [89:1398:1]&[-145:4128:1]
106782l (2 curves)	1	2- 3+ 13+ 37-	2- 3+  2  2 -4 13+  4  4
Curve Equation t Generators 106782l1 [1,1,1,-787,8141] 2 [70:321:8] 106782l2 [1,1,1,-417,16281] 2 [20590:119453:1000]
106782m (1 curve)	1	2- 3+ 13- 37+	2- 3+  0  2  0 13-  0 -5
Curve Equation t Generators 106782m1 [1,1,1,-89698,-12182545] 1 [73972:2383051:64]
106782n (2 curves)	0	2- 3+ 13- 37-	2- 3+ -2  0  0 13-  6  4
Curve Equation t 106782n1 [1,1,1,-2217124,-1262197279] 2 106782n2 [1,1,1,-697534,-2960491063] 2
106782o (4 curves)	2	2- 3+ 13- 37-	2- 3+ -2 -2 -2 13-  2 -4
Curve Equation t Generators 106782o1 [1,1,1,-6004,-180559] 2 [-346:353:8]&[1198:11547:8] 106782o2 [1,1,1,-95914,-11473255] 2 [3566:45263:8]&[33198:2116151:8] 106782o3 [1,1,1,-287389,59176691] 2 [263:1236:1]&[-577:6060:1] 106782o4 [1,1,1,-305149,51426227] 2 [-581:6036:1]&[189:646:1]
106782p (1 curve)	1	2- 3- 13+ 37+	2- 3- -2 -4 -4 13+  2 -3
Curve Equation t Generators 106782p1 [1,0,0,8241,33273] 1 [6:285:1]
106782q (1 curve)	1	2- 3- 13+ 37+	2- 3- -3 -2  0 13+ -3 -2
Curve Equation t Generators 106782q1 [1,0,0,11608,14059344] 1 [114:4050:1]

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