Cremona's table of elliptic curves

47824 = 2⁴ · 7² · 61

Class	r	Atkin-Lehner	Eigenvalues
47824a (1 curve)	2	2+ 7- 61+	2+ -3 -2 7- -1 -4  3 -7
Curve Equation t Generators 47824a1 [0,0,0,-931,-686] 1 [-21:98:1]&[-14:98:1]
47824b (1 curve)	1	2+ 7- 61-	2+ -1 -2 7-  3  0  5 -5
Curve Equation t Generators 47824b1 [0,-1,0,-93704,-10989152] 1 [446:5978:1]
47824c (1 curve)	0	2- 7+ 61+	2-  1 -2 7+ -4  2  2  5
Curve Equation t 47824c1 [0,1,0,-2920024,2108997652] 1
47824d (2 curves)	1	2- 7+ 61-	2- -1  0 7+  0 -4  0 -5
Curve Equation t Generators 47824d1 [0,-1,0,-6288,-249920] 1 [1738:72358:1] 47824d2 [0,-1,0,48592,2779456] 1 [90:2806:1]
47824e (1 curve)	1	2- 7- 61+	2-  0 -2 7-  4 -4  3 -2
Curve Equation t Generators 47824e1 [0,0,0,-56,-196] 1 [14:42:1]
47824f (1 curve)	1	2- 7- 61+	2-  0  3 7-  1 -1  2  2
Curve Equation t Generators 47824f1 [0,0,0,49,2058] 1 [-1430:62:125]
47824g (2 curves)	1	2- 7- 61+	2-  1  0 7-  0  4  0  5
Curve Equation t Generators 47824g1 [0,1,0,-128,692] 1 [-4:34:1] 47824g2 [0,1,0,992,-7820] 1 [2244:21862:27]
47824h (3 curves)	1	2- 7- 61+	2-  1  0 7-  3  4  3 -7
Curve Equation t Generators 47824h1 [0,1,0,-2121128,1188338612] 1 [22692:98:27] 47824h2 [0,1,0,-2195608,1100328340] 1 [9084:539882:27] 47824h3 [0,1,0,-44041608,-112366607116] 1 [-116355785460:-12227016158:29503629]
47824i (2 curves)	1	2- 7- 61+	2-  1  0 7- -3 -2 -3  5
Curve Equation t Generators 47824i1 [0,1,0,-3348,62936] 1 [170:343:8] 47824i2 [0,1,0,-71948,-7444648] 1 [-33042:15533:216]
47824j (1 curve)	1	2- 7- 61+	2-  1 -2 7-  3  2 -5  5
Curve Equation t Generators 47824j1 [0,1,0,-184,-428] 1 [-12:14:1]
47824k (1 curve)	1	2- 7- 61+	2-  1  4 7-  3  4 -5  1
Curve Equation t Generators 47824k1 [0,1,0,-5896,170932] 1 [-12:490:1]
47824l (1 curve)	1	2- 7- 61+	2-  1 -4 7- -3 -4 -7  5
Curve Equation t Generators 47824l1 [0,1,0,-7660,252664] 1 [-33:686:1]
47824m (1 curve)	1	2- 7- 61+	2- -1  0 7-  5  0  3 -1
Curve Equation t Generators 47824m1 [0,-1,0,-10208,192256] 1 [-30:686:1]
47824n (2 curves)	1	2- 7- 61+	2- -2  0 7- -6 -2 -3 -4
Curve Equation t Generators 47824n1 [0,1,0,1307,-33153] 1 [23:98:1] 47824n2 [0,1,0,-53573,-4802225] 1 [611:13818:1]
47824o (1 curve)	1	2- 7- 61+	2-  3  0 7-  3 -4 -3 -1
Curve Equation t Generators 47824o1 [0,0,0,-49735,4268978] 1 [720594:586873:5832]
47824p (1 curve)	1	2- 7- 61+	2-  3 -2 7- -3 -2 -1 -1
Curve Equation t Generators 47824p1 [0,0,0,-26971,-1703926] 1 [-20874:413:216]
47824q (1 curve)	0	2- 7- 61-	2-  0  2 7-  4  4 -3  2
Curve Equation t 47824q1 [0,0,0,-2744,67228] 1
47824r (1 curve)	0	2- 7- 61-	2-  1  0 7-  5 -4  5 -7
Curve Equation t 47824r1 [0,1,0,-21968,-1251244] 1
47824s (1 curve)	0	2- 7- 61-	2-  1  2 7- -3  0 -3 -3
Curve Equation t 47824s1 [0,1,0,-565672,163493812] 1
47824t (1 curve)	0	2- 7- 61-	2- -1  2 7- -1  4  1 -5
Curve Equation t 47824t1 [0,-1,0,-312832,30912512] 1
47824u (1 curve)	0	2- 7- 61-	2- -1  2 7-  3 -2  5 -5
Curve Equation t 47824u1 [0,-1,0,-9032,128752] 1
47824v (1 curve)	0	2- 7- 61-	2- -1  2 7- -4 -2 -2 -5
Curve Equation t 47824v1 [0,-1,0,-143081192,-723672357008] 1
47824w (1 curve)	0	2- 7- 61-	2- -1  4 7- -3  4  7 -5
Curve Equation t 47824w1 [0,-1,0,-156,-692] 1
47824x (1 curve)	0	2- 7- 61-	2-  2 -4 7-  2 -2 -5 -8
Curve Equation t 47824x1 [0,-1,0,-1045,-25059] 1
47824y (1 curve)	0	2- 7- 61-	2- -2 -1 7-  3  3  0  0
Curve Equation t 47824y1 [0,1,0,1944,1588] 1
47824z (1 curve)	0	2- 7- 61-	2- -2  3 7-  5 -1 -4 -4
Curve Equation t 47824z1 [0,1,0,-1584,25108] 1
47824ba (1 curve)	0	2- 7- 61-	2- -3  0 7-  3  4  3  1
Curve Equation t 47824ba1 [0,0,0,-1015,-12446] 1
47824bb (1 curve)	0	2- 7- 61-	2- -3  2 7- -3  2  1  1
Curve Equation t 47824bb1 [0,0,0,-1321579,584446618] 1

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