Cremona's table of elliptic curves

53742 = 2 · 3 · 13² · 53

Class	r	Atkin-Lehner	Eigenvalues
53742a (1 curve)	1	2+ 3+ 13+ 53+	2+ 3+  0 -1 -5 13+  2  1
Curve Equation t Generators 53742a1 [1,1,0,335,-16661] 1 [213:3020:1]
53742b (1 curve)	1	2+ 3+ 13+ 53+	2+ 3+  0 -4  4 13+ -1 -1
Curve Equation t Generators 53742b1 [1,1,0,335,-1451] 1 [18:-113:1]
53742c (1 curve)	0	2+ 3+ 13+ 53-	2+ 3+  3  4  5 13+  5 -6
Curve Equation t 53742c1 [1,1,0,-2031,109413] 1
53742d (1 curve)	2	2+ 3- 13+ 53+	2+ 3-  0  0 -4 13+ -5 -5
Curve Equation t Generators 53742d1 [1,0,1,-316,2186] 1 [13:-25:1]&[-11:71:1]
53742e (1 curve)	0	2+ 3- 13+ 53+	2+ 3-  2  1 -5 13+ -8  7
Curve Equation t 53742e1 [1,0,1,-1525,-295072] 1
53742f (1 curve)	0	2+ 3- 13+ 53+	2+ 3-  2  2  2 13+  5  1
Curve Equation t 53742f1 [1,0,1,-485,-4912] 1
53742g (1 curve)	2	2+ 3- 13+ 53+	2+ 3- -2 -2 -2 13+ -7  5
Curve Equation t Generators 53742g1 [1,0,1,4262683,2484483536] 1 [-493:16470:1]&[2718:183442:1]
53742h (1 curve)	0	2+ 3- 13+ 53+	2+ 3-  4 -4 -2 13+  3  7
Curve Equation t 53742h1 [1,0,1,-243364,46195814] 1
53742i (1 curve)	1	2+ 3- 13+ 53-	2+ 3-  1  2  3 13+  3  2
Curve Equation t Generators 53742i1 [1,0,1,832997,-20744410] 1 [398:36301:8]
53742j (1 curve)	1	2+ 3- 13+ 53-	2+ 3- -2  2  0 13+  7 -1
Curve Equation t Generators 53742j1 [1,0,1,503,-59824] 1 [37:80:1]
53742k (2 curves)	0	2+ 3- 13- 53-	2+ 3- -2 -2  6 13-  2  0
Curve Equation t 53742k1 [1,0,1,-61515497,-185704885780] 2 53742k2 [1,0,1,-64327657,-167795926036] 2
53742l (1 curve)	0	2- 3+ 13+ 53+	2- 3+  0  4 -4 13+ -1  1
Curve Equation t 53742l1 [1,1,1,56527,-3470641] 1
53742m (1 curve)	0	2- 3+ 13+ 53+	2- 3+  1  0  1 13+ -7 -2
Curve Equation t 53742m1 [1,1,1,1095,-25407] 1
53742n (2 curves)	0	2- 3+ 13+ 53+	2- 3+ -2  0 -2 13+  2 -2
Curve Equation t 53742n1 [1,1,1,-490019,-136828879] 2 53742n2 [1,1,1,-7915879,-8575576183] 2
53742o (1 curve)	0	2- 3+ 13+ 53+	2- 3+ -3  4  5 13+  5 -2
Curve Equation t 53742o1 [1,1,1,-30173517,-64444946493] 1
53742p (1 curve)	1	2- 3+ 13+ 53-	2- 3+ -4 -1  1 13+  6  1
Curve Equation t Generators 53742p1 [1,1,1,23910,275751] 1 [57:-1381:1]
53742q (1 curve)	1	2- 3- 13+ 53+	2- 3-  0  0  4 13+ -5  5
Curve Equation t Generators 53742q1 [1,0,0,-53323,4856513] 1 [14:2021:1]
53742r (2 curves)	1	2- 3- 13+ 53+	2- 3-  0 -5  3 13+  6 -5
Curve Equation t Generators 53742r1 [1,0,0,-10228,397448] 1 [14:500:1] 53742r2 [1,0,0,7517,1579265] 1 [118:1969:1]
53742s (1 curve)	1	2- 3- 13+ 53+	2- 3- -1  2 -1 13+ -1 -2
Curve Equation t Generators 53742s1 [1,0,0,-16481,851889] 1 [40:487:1]
53742t (1 curve)	1	2- 3- 13+ 53+	2- 3-  2  2  2 13+ -7 -5
Curve Equation t Generators 53742t1 [1,0,0,25223,1132793] 1 [-34:503:1]
53742u (1 curve)	1	2- 3- 13+ 53+	2- 3- -2 -2 -2 13+  5 -1
Curve Equation t Generators 53742u1 [1,0,0,-81884,-10709232] 1 [352:1852:1]
53742v (1 curve)	1	2- 3- 13+ 53+	2- 3- -4  4  2 13+  3 -7
Curve Equation t Generators 53742v1 [1,0,0,-1440,20916] 1 [24:6:1]
53742w (1 curve)	0	2- 3- 13+ 53-	2- 3-  2 -2  0 13+  7  1
Curve Equation t 53742w1 [1,0,0,3,-27] 1
53742x (2 curves)	0	2- 3- 13+ 53-	2- 3- -2  4  2 13+  2 -2
Curve Equation t 53742x1 [1,0,0,-6679,-858391] 2 53742x2 [1,0,0,-182439,-29929095] 2
53742y (4 curves)	0	2- 3- 13+ 53-	2- 3- -2 -4  0 13+  2  4
Curve Equation t 53742y1 [1,0,0,-22734,1310724] 4 53742y2 [1,0,0,-36254,-433356] 4 53742y3 [1,0,0,142886,-3407080] 2 53742y4 [1,0,0,-431714,-109026672] 2
53742z (2 curves)	1	2- 3- 13- 53-	2- 3-  2  2 -6 13-  2  0
Curve Equation t Generators 53742z1 [1,0,0,-363997,-84554575] 2 [950:20195:1] 53742z2 [1,0,0,-380637,-76404303] 2 [-294:3327:1]

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