Cremona's table of elliptic curves

34720 = 2⁵ · 5 · 7 · 31

Class	r	Atkin-Lehner	Eigenvalues
34720a (1 curve)	1	2+ 5+ 7+ 31+	2+ -1 5+ 7+ -3 -7 -2 -1
Curve Equation t Generators 34720a1 [0,-1,0,-56,-140] 1 [-4:2:1]
34720b (2 curves)	1	2+ 5+ 7+ 31+	2+  2 5+ 7+  0  2 -4  4
Curve Equation t Generators 34720b1 [0,-1,0,-106,600] 2 [6:12:1] 34720b2 [0,-1,0,-1856,31400] 2 [-358:1209:8]
34720c (2 curves)	1	2+ 5+ 7+ 31+	2+ -2 5+ 7+  0 -2 -8 -4
Curve Equation t Generators 34720c1 [0,1,0,-2906,-62000] 2 [69:266:1] 34720c2 [0,1,0,-46656,-3894500] 2 [1319:47234:1]
34720d (2 curves)	1	2+ 5+ 7+ 31+	2+ -2 5+ 7+ -4  6 -4 -4
Curve Equation t Generators 34720d1 [0,1,0,4214,561264] 2 [-16:700:1] 34720d2 [0,1,0,-81536,8415964] 2 [327:4102:1]
34720e (1 curve)	0	2+ 5+ 7+ 31-	2+  1 5+ 7+ -1 -1 -6  7
Curve Equation t 34720e1 [0,1,0,-4061016,-3151165480] 1
34720f (1 curve)	0	2+ 5+ 7+ 31-	2+ -3 5+ 7+ -3  3  4 -7
Curve Equation t 34720f1 [0,0,0,-643,58] 1
34720g (2 curves)	2	2+ 5+ 7- 31+	2+  0 5+ 7-  0 -4 -6 -4
Curve Equation t Generators 34720g1 [0,0,0,-1133,15132] 2 [417:-980:27]&[-4:140:1] 34720g2 [0,0,0,-18283,951522] 2 [-46:1302:1]&[94:252:1]
34720h (1 curve)	0	2+ 5+ 7- 31+	2+ -1 5+ 7-  1 -1 -6 -7
Curve Equation t 34720h1 [0,-1,0,-4061016,3151165480] 1
34720i (1 curve)	0	2+ 5+ 7- 31+	2+  3 5+ 7-  3  3  4  7
Curve Equation t 34720i1 [0,0,0,-643,-58] 1
34720j (1 curve)	1	2+ 5+ 7- 31-	2+  1 5+ 7-  3 -7 -2  1
Curve Equation t Generators 34720j1 [0,1,0,-56,140] 1 [-1:14:1]
34720k (2 curves)	1	2+ 5- 7+ 31-	2+  0 5- 7+ -2 -4  0 -4
Curve Equation t Generators 34720k1 [0,0,0,-17,-376] 2 [13:40:1] 34720k2 [0,0,0,-892,-10176] 2 [48:240:1]
34720l (1 curve)	1	2+ 5- 7+ 31-	2+  1 5- 7+ -2  2  3 -7
Curve Equation t Generators 34720l1 [0,1,0,-3085,65275] 1 [45:140:1]
34720m (1 curve)	1	2+ 5- 7+ 31-	2+  1 5- 7+ -5  5  0  5
Curve Equation t Generators 34720m1 [0,1,0,-2920,49048] 1 [-18:310:1]
34720n (2 curves)	1	2+ 5- 7- 31+	2+  0 5- 7-  2 -4  0  4
Curve Equation t Generators 34720n1 [0,0,0,-17,376] 2 [-3:20:1] 34720n2 [0,0,0,-892,10176] 2 [32:120:1]
34720o (1 curve)	1	2+ 5- 7- 31+	2+ -1 5- 7-  2  2  3  7
Curve Equation t Generators 34720o1 [0,-1,0,-3085,-65275] 1 [95:700:1]
34720p (1 curve)	1	2+ 5- 7- 31+	2+ -1 5- 7-  5  5  0 -5
Curve Equation t Generators 34720p1 [0,-1,0,-2920,-49048] 1 [-54593:7706:1331]
34720q (2 curves)	1	2+ 5- 7- 31+	2+ -2 5- 7- -6 -2 -6  4
Curve Equation t Generators 34720q1 [0,1,0,30,-32] 2 [6:20:1] 34720q2 [0,1,0,-145,-417] 2 [13:8:1]
34720r (1 curve)	0	2+ 5- 7- 31-	2+  1 5- 7-  6  2 -5  5
Curve Equation t 34720r1 [0,1,0,35,-245] 1
34720s (2 curves)	0	2+ 5- 7- 31-	2+ -2 5- 7-  0  2  4  8
Curve Equation t 34720s1 [0,1,0,-542570,-160210400] 2 34720s2 [0,1,0,-8778000,-10013078852] 2
34720t (2 curves)	1	2- 5+ 7+ 31-	2-  0 5+ 7+  0 -4 -6  4
Curve Equation t Generators 34720t1 [0,0,0,-1133,-15132] 2 [2783:146804:1] 34720t2 [0,0,0,-18283,-951522] 2 [22274:1173897:8]
34720u (2 curves)	0	2- 5+ 7- 31-	2-  2 5+ 7-  0 -2 -8  4
Curve Equation t 34720u1 [0,-1,0,-2906,62000] 2 34720u2 [0,-1,0,-46656,3894500] 2
34720v (2 curves)	0	2- 5+ 7- 31-	2-  2 5+ 7-  4  6 -4  4
Curve Equation t 34720v1 [0,-1,0,4214,-561264] 2 34720v2 [0,-1,0,-81536,-8415964] 2
34720w (2 curves)	0	2- 5+ 7- 31-	2- -2 5+ 7-  0  2 -4 -4
Curve Equation t 34720w1 [0,1,0,-106,-600] 2 34720w2 [0,1,0,-1856,-31400] 2
34720x (1 curve)	1	2- 5- 7+ 31+	2- -1 5- 7+ -6  2 -5 -5
Curve Equation t Generators 34720x1 [0,-1,0,35,245] 1 [7:28:1]
34720y (2 curves)	1	2- 5- 7+ 31+	2-  2 5- 7+  0  2  4 -8
Curve Equation t Generators 34720y1 [0,-1,0,-542570,160210400] 2 [20865:383570:27] 34720y2 [0,-1,0,-8778000,10013078852] 2 [3104:112530:1]
34720z (2 curves)	0	2- 5- 7+ 31-	2-  2 5- 7+  6 -2 -6 -4
Curve Equation t 34720z1 [0,-1,0,30,32] 2 34720z2 [0,-1,0,-145,417] 2
34720ba (2 curves)	2	2- 5- 7+ 31-	2- -2 5- 7+ -2 -4 -2 -4
Curve Equation t Generators 34720ba1 [0,1,0,90,9400] 2 [-15:70:1]&[-2:96:1] 34720ba2 [0,1,0,-6160,179400] 2 [70:310:1]&[-82:374:1]
34720bb (2 curves)	0	2- 5- 7- 31+	2-  2 5- 7-  2 -4 -2  4
Curve Equation t 34720bb1 [0,-1,0,90,-9400] 2 34720bb2 [0,-1,0,-6160,-179400] 2

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