Cremona's table of elliptic curves

10192 = 2⁴ · 7² · 13

Class	r	Atkin-Lehner	Eigenvalues
10192a (1 curve)	1	2+ 7+ 13+	2+  1  3 7+  1 13+ -5  3
Curve Equation t Generators 10192a1 [0,1,0,-3544,21139] 1 [-1185:8281:27]
10192b (1 curve)	1	2+ 7+ 13+	2+  1 -3 7+  3 13+  7  1
Curve Equation t Generators 10192b1 [0,1,0,-2172,-39229] 1 [-214:169:8]
10192c (1 curve)	0	2+ 7+ 13-	2+  1  1 7+ -5 13-  3  5
Curve Equation t 10192c1 [0,1,0,-800,6047] 1
10192d (1 curve)	0	2+ 7- 13+	2+  0  1 7- -2 13+  0 -7
Curve Equation t 10192d1 [0,0,0,-3332,-80948] 1
10192e (1 curve)	2	2+ 7- 13+	2+ -1 -1 7- -5 13+ -3 -5
Curve Equation t Generators 10192e1 [0,-1,0,-16,-13] 1 [-1:1:1]&[7:13:1]
10192f (1 curve)	1	2+ 7- 13-	2+  1  1 7-  2 13-  3 -2
Curve Equation t Generators 10192f1 [0,1,0,-800,-9388] 1 [62:428:1]
10192g (1 curve)	1	2+ 7- 13-	2+ -1  0 7- -3 13- -4  2
Curve Equation t Generators 10192g1 [0,-1,0,-408,-7664] 1 [40:196:1]
10192h (1 curve)	1	2+ 7- 13-	2+ -1  3 7-  3 13- -7 -1
Curve Equation t Generators 10192h1 [0,-1,0,-44,127] 1 [-1:13:1]
10192i (1 curve)	1	2+ 7- 13-	2+ -1 -3 7-  1 13-  5 -3
Curve Equation t Generators 10192i1 [0,-1,0,-72,-41] 1 [-5:13:1]
10192j (1 curve)	1	2+ 7- 13-	2+  2 -3 7-  0 13-  2  5
Curve Equation t Generators 10192j1 [0,-1,0,52463,3020781] 1 [12:1911:1]
10192k (1 curve)	1	2+ 7- 13-	2+ -2  1 7- -4 13-  6  1
Curve Equation t Generators 10192k1 [0,1,0,-65,17611] 1 [-26:49:1]
10192l (1 curve)	0	2- 7+ 13+	2-  0  0 7+ -1 13+ -1 -5
Curve Equation t 10192l1 [0,0,0,-1715,427378] 1
10192m (2 curves)	0	2- 7+ 13+	2-  0  0 7+  3 13+  7  7
Curve Equation t 10192m1 [0,0,0,-1715,-27342] 1 10192m2 [0,0,0,10045,1130626] 1
10192n (1 curve)	0	2- 7+ 13+	2-  3 -3 7+  5 13+ -1  7
Curve Equation t 10192n1 [0,0,0,-49,-49] 1
10192o (1 curve)	1	2- 7+ 13-	2- -1  1 7+  1 13- -5  7
Curve Equation t Generators 10192o1 [0,-1,0,-4230,107143] 1 [33:49:1]
10192p (2 curves)	1	2- 7+ 13-	2- -1 -3 7+ -3 13-  3 -5
Curve Equation t Generators 10192p1 [0,-1,0,-702,-6929] 1 [-15:1:1] 10192p2 [0,-1,0,-1682,17179] 1 [-7:169:1]
10192q (2 curves)	1	2- 7+ 13-	2-  2  0 7+  3 13-  3 -5
Curve Equation t Generators 10192q1 [0,-1,0,572,3900] 1 [-6501:41364:1331] 10192q2 [0,-1,0,-13148,591116] 1 [97:468:1]
10192r (3 curves)	1	2- 7- 13+	2-  1  0 7-  3 13+  0  2
Curve Equation t Generators 10192r1 [0,1,0,5472,-164620] 1 [894:6272:27] 10192r2 [0,1,0,-151328,-22856716] 1 [28110:831824:27] 10192r3 [0,1,0,-12279808,-16566959564] 1 [72332095362:-7925641115336:5545233]
10192s (1 curve)	1	2- 7- 13+	2-  1 -1 7-  1 13+  5 -7
Curve Equation t Generators 10192s1 [0,1,0,-86,-337] 1 [11:13:1]
10192t (2 curves)	1	2- 7- 13+	2-  1  3 7- -3 13+ -3  5
Curve Equation t Generators 10192t1 [0,1,0,-34414,2445463] 1 [171:1261:1] 10192t2 [0,1,0,-82434,-5727541] 1 [66703395:626327351:185193]
10192u (3 curves)	1	2- 7- 13+	2-  1  3 7- -6 13+  3  2
Curve Equation t Generators 10192u1 [0,1,0,376,4724] 1 [-10:8:1] 10192u2 [0,1,0,-3544,-163052] 1 [2082:4528:27] 10192u3 [0,1,0,-360264,-83350156] 1 [13421426190:-249537246848:15438249]
10192v (1 curve)	1	2- 7- 13+	2-  1 -4 7-  1 13+ -4  2
Curve Equation t Generators 10192v1 [0,1,0,-3613080,2646827924] 1 [-2084:33614:1]
10192w (1 curve)	1	2- 7- 13+	2- -1 -2 7- -1 13+  4 -4
Curve Equation t Generators 10192w1 [0,-1,0,-3544,216560] 1 [82:686:1]
10192x (1 curve)	1	2- 7- 13+	2- -1 -2 7-  5 13+ -8  8
Curve Equation t Generators 10192x1 [0,-1,0,-32384,-2232320] 1 [320:4480:1]
10192y (2 curves)	1	2- 7- 13+	2-  2 -2 7- -4 13+  4  2
Curve Equation t Generators 10192y1 [0,-1,0,96,5888] 2 [2:78:1] 10192y2 [0,-1,0,-4384,109824] 2 [-30:462:1]
10192z (2 curves)	1	2- 7- 13+	2- -2  0 7-  3 13+ -3  5
Curve Equation t Generators 10192z1 [0,1,0,12,-8] 1 [3:8:1] 10192z2 [0,1,0,-268,-1800] 1 [171:2232:1]
10192ba (1 curve)	1	2- 7- 13+	2- -2 -1 7-  4 13+  2 -1
Curve Equation t Generators 10192ba1 [0,1,0,-261,2911] 1 [23:98:1]
10192bb (3 curves)	1	2- 7- 13+	2- -2  3 7-  0 13+  6 -7
Curve Equation t Generators 10192bb1 [0,1,0,-5749,166179] 1 [30:147:1] 10192bb2 [0,1,0,9931,837283] 1 [926:28371:1] 10192bb3 [0,1,0,-91989,-26497661] 1 [2141623370:-61620762273:2248091]
10192bc (1 curve)	0	2- 7- 13-	2-  0  0 7- -1 13-  1  5
Curve Equation t 10192bc1 [0,0,0,-35,-1246] 1
10192bd (2 curves)	0	2- 7- 13-	2-  0  0 7-  3 13- -7 -7
Curve Equation t 10192bd1 [0,0,0,-84035,9378306] 1 10192bd2 [0,0,0,492205,-387804718] 1
10192be (2 curves)	0	2- 7- 13-	2-  0 -2 7-  2 13- -6 -6
Curve Equation t 10192be1 [0,0,0,-196,-1029] 2 10192be2 [0,0,0,49,-3430] 2
10192bf (4 curves)	0	2- 7- 13-	2-  0 -2 7- -4 13-  6  0
Curve Equation t 10192bf1 [0,0,0,679189,146240794] 2 10192bf2 [0,0,0,-3334891,1287042330] 4 10192bf3 [0,0,0,-24534251,-45873053926] 2 10192bf4 [0,0,0,-46360811,121458436890] 4
10192bg (1 curve)	0	2- 7- 13-	2-  0  3 7-  2 13-  4 -1
Curve Equation t 10192bg1 [0,0,0,-28616,1867292] 1
10192bh (1 curve)	0	2- 7- 13-	2-  0  3 7-  6 13- -4  5
Curve Equation t 10192bh1 [0,0,0,784,5488] 1
10192bi (1 curve)	0	2- 7- 13-	2-  1  2 7- -1 13- -4  4
Curve Equation t 10192bi1 [0,1,0,-72,-652] 1
10192bj (1 curve)	0	2- 7- 13-	2-  1  2 7-  5 13-  8 -8
Curve Equation t 10192bj1 [0,1,0,-1586832,768859412] 1
10192bk (2 curves)	0	2- 7- 13-	2- -2  2 7- -4 13- -4 -2
Curve Equation t 10192bk1 [0,1,0,4688,-2028972] 2 10192bk2 [0,1,0,-214832,-37239980] 2
10192bl (1 curve)	0	2- 7- 13-	2-  3  0 7-  5 13-  4  2
Curve Equation t 10192bl1 [0,0,0,-17395,19284146] 1
10192bm (1 curve)	0	2- 7- 13-	2-  3  4 7- -1 13-  0 -6
Curve Equation t 10192bm1 [0,0,0,2597,-85750] 1
10192bn (2 curves)	0	2- 7- 13-	2- -3  1 7-  2 13-  3  6
Curve Equation t 10192bn1 [0,0,0,-2107,56938] 1 10192bn2 [0,0,0,-166747,-28755062] 1
10192bo (1 curve)	0	2- 7- 13-	2- -3  3 7-  5 13-  1 -7
Curve Equation t 10192bo1 [0,0,0,-2401,16807] 1

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