Cremona's table of elliptic curves

47320 = 2³ · 5 · 7 · 13²

Class	r	Atkin-Lehner	Eigenvalues
47320a (1 curve)	1	2+ 5+ 7+ 13+	2+  1 5+ 7+ -4 13+  3 -6
Curve Equation t Generators 47320a1 [0,1,0,9,14] 1 [1:5:1]
47320b (1 curve)	1	2+ 5+ 7+ 13+	2+ -1 5+ 7+ -4 13+  1 -6
Curve Equation t Generators 47320b1 [0,-1,0,-2591,-68420] 1 [71:317:1]
47320c (2 curves)	1	2+ 5+ 7+ 13+	2+ -2 5+ 7+  2 13+ -6 -6
Curve Equation t Generators 47320c1 [0,1,0,-1747516,-348045216] 2 [-42905:1817672:125] 47320c2 [0,1,0,6367864,-2659305440] 2 [114748628:6728312500:205379]
47320d (2 curves)	0	2+ 5+ 7+ 13-	2+  2 5+ 7+  2 13-  4  0
Curve Equation t 47320d1 [0,-1,0,9,116] 2 47320d2 [0,-1,0,-316,2196] 2
47320e (2 curves)	0	2+ 5+ 7+ 13-	2+ -2 5+ 7+  0 13-  2 -4
Curve Equation t 47320e1 [0,1,0,-290736,57687280] 2 47320e2 [0,1,0,-4596856,3791954544] 2
47320f (2 curves)	0	2+ 5+ 7+ 13-	2+ -2 5+ 7+  6 13- -4 -4
Curve Equation t 47320f1 [0,1,0,-13511,-613586] 2 47320f2 [0,1,0,-216636,-38882336] 2
47320g (1 curve)	0	2+ 5+ 7+ 13-	2+ -3 5+ 7+ -3 13- -6  0
Curve Equation t 47320g1 [0,0,0,-2523472003,-98438059332002] 1
47320h (1 curve)	0	2+ 5+ 7- 13+	2+ -1 5+ 7-  0 13+ -5 -4
Curve Equation t 47320h1 [0,-1,0,154905344,2480587728956] 1
47320i (2 curves)	0	2+ 5+ 7- 13+	2+  2 5+ 7-  0 13+ -8  2
Curve Equation t 47320i1 [0,-1,0,-6816,104636] 2 47320i2 [0,-1,0,-54136,-4759860] 2
47320j (2 curves)	1	2+ 5+ 7- 13-	2+  2 5+ 7- -4 13-  2  0
Curve Equation t Generators 47320j1 [0,-1,0,-2575616,-1529721220] 2 [35925667154:8905680672:19465109] 47320j2 [0,-1,0,-6881736,4924291436] 2 [304757995392096423645:58526725672996320124:142342125369952689]
47320k (2 curves)	1	2+ 5+ 7- 13-	2+ -2 5+ 7-  2 13-  0  8
Curve Equation t Generators 47320k1 [0,1,0,-71036,3799264] 2 [-25:2358:1] 47320k2 [0,1,0,236544,28159600] 2 [535419:-17836174:729]
47320l (2 curves)	1	2+ 5+ 7- 13-	2+ -2 5+ 7- -4 13-  6 -4
Curve Equation t Generators 47320l1 [0,1,0,-199846976,1087336351024] 2 [8372:32928:1] 47320l2 [0,1,0,-3197543496,69593095383280] 2 [881517:15092:27]
47320m (1 curve)	0	2+ 5- 7+ 13+	2+ -1 5- 7+  0 13+  3  0
Curve Equation t 47320m1 [0,-1,0,-9520,445340] 1
47320n (1 curve)	1	2+ 5- 7- 13+	2+  0 5- 7-  1 13+  3 -2
Curve Equation t Generators 47320n1 [0,0,0,-52,-156] 1 [10:18:1]
47320o (2 curves)	1	2+ 5- 7- 13+	2+  0 5- 7- -2 13+  0 -8
Curve Equation t Generators 47320o1 [0,0,0,-2285387,1329795766] 2 [702:8450:1] 47320o2 [0,0,0,-2238067,1387497774] 2 [758:11250:1]
47320p (2 curves)	0	2+ 5- 7- 13-	2+  0 5- 7-  0 13- -4 -6
Curve Equation t 47320p1 [0,0,0,-24167,742586] 2 47320p2 [0,0,0,-331747,73516014] 2
47320q (1 curve)	0	2- 5+ 7+ 13+	2-  0 5+ 7+ -1 13+  3  2
Curve Equation t 47320q1 [0,0,0,-8788,-342732] 1
47320r (2 curves)	0	2- 5+ 7+ 13+	2-  0 5+ 7+  2 13+ -4 -4
Curve Equation t 47320r1 [0,0,0,-464243,-6032962] 2 47320r2 [0,0,0,1854437,-48232938] 2
47320s (1 curve)	0	2- 5+ 7+ 13+	2- -3 5+ 7+  5 13+ -7  2
Curve Equation t 47320s1 [0,0,0,-69628,7285252] 1
47320t (2 curves)	1	2- 5+ 7+ 13-	2-  0 5+ 7+  0 13- -4  6
Curve Equation t Generators 47320t1 [0,0,0,-143,338] 2 [1:14:1] 47320t2 [0,0,0,-1963,33462] 2 [27:12:1]
47320u (1 curve)	1	2- 5+ 7- 13+	2- -1 5+ 7-  0 13+  3  0
Curve Equation t Generators 47320u1 [0,-1,0,-56,220] 1 [6:8:1]
47320v (1 curve)	1	2- 5+ 7- 13+	2- -1 5+ 7-  3 13+ -6  6
Curve Equation t Generators 47320v1 [0,-1,0,-142016,-23390420] 1 [633:11830:1]
47320w (2 curves)	1	2- 5+ 7- 13+	2-  2 5+ 7-  4 13+  4 -6
Curve Equation t Generators 47320w1 [0,-1,0,-94696,-11144004] 2 [-38145270:10277904:205379] 47320w2 [0,-1,0,-142016,1215980] 2 [194144411337:-36324202148234:5545233]
47320x (4 curves)	1	2- 5- 7+ 13+	2-  0 5- 7+  0 13+  6 -4
Curve Equation t Generators 47320x1 [0,0,0,3718,-50531] 4 [70070:1668537:125] 47320x2 [0,0,0,-17407,-435006] 4 [-107:450:1] 47320x3 [0,0,0,-135707,18942534] 2 [2259:106020:1] 47320x4 [0,0,0,-237107,-44418946] 2 [-35345:16704:125]
47320y (1 curve)	1	2- 5- 7+ 13+	2- -1 5- 7+  0 13+ -5  4
Curve Equation t Generators 47320y1 [0,-1,0,916600,1128797500] 1 [-450:25000:1]
47320z (2 curves)	1	2- 5- 7+ 13+	2-  2 5- 7+ -6 13+ -2 -2
Curve Equation t Generators 47320z1 [0,-1,0,-80500,8158500] 2 [360:-5070:1] 47320z2 [0,-1,0,85120,37241372] 2 [334:10140:1]
47320ba (2 curves)	0	2- 5- 7+ 13-	2-  2 5- 7+  4 13-  2  0
Curve Equation t 47320ba1 [0,-1,0,-15240,-691588] 2 47320ba2 [0,-1,0,-40720,2253900] 2
47320bb (2 curves)	2	2- 5- 7+ 13-	2- -2 5- 7+ -2 13-  0 -8
Curve Equation t Generators 47320bb1 [0,1,0,-420,1600] 2 [30:130:1]&[-21:40:1] 47320bb2 [0,1,0,1400,13248] 2 [-8:40:1]&[16:200:1]
47320bc (2 curves)	0	2- 5- 7+ 13-	2- -2 5- 7+  4 13-  6  4
Curve Equation t 47320bc1 [0,1,0,-33774139000,2389013059755648] 2 47320bc2 [0,1,0,-540384850880,152898192096469600] 2
47320bd (1 curve)	0	2- 5- 7- 13+	2-  1 5- 7-  4 13+  3  6
Curve Equation t 47320bd1 [0,1,0,1465,24818] 1
47320be (1 curve)	0	2- 5- 7- 13+	2- -1 5- 7-  4 13+  1  6
Curve Equation t 47320be1 [0,-1,0,-437935,-152070400] 1
47320bf (1 curve)	0	2- 5- 7- 13+	2- -1 5- 7-  5 13+  3  6
Curve Equation t 47320bf1 [0,-1,0,-225,10165] 1
47320bg (1 curve)	0	2- 5- 7- 13+	2- -1 5- 7- -5 13+ -2  6
Curve Equation t 47320bg1 [0,-1,0,-3957360,3181060492] 1
47320bh (2 curves)	0	2- 5- 7- 13+	2-  2 5- 7-  2 13+  6  6
Curve Equation t 47320bh1 [0,-1,0,-607780,182371812] 2 47320bh2 [0,-1,0,-442160,283797500] 2
47320bi (2 curves)	1	2- 5- 7- 13-	2-  2 5- 7- -2 13-  4  0
Curve Equation t Generators 47320bi1 [0,-1,0,1465,260792] 2 [-35985:1666601:3375] 47320bi2 [0,-1,0,-53460,4610852] 2 [-112:3030:1]
47320bj (2 curves)	1	2- 5- 7- 13-	2- -2 5- 7-  0 13-  2  4
Curve Equation t Generators 47320bj1 [0,1,0,-1720,25728] 2 [8:112:1] 47320bj2 [0,1,0,-27200,1717600] 2 [99:70:1]
47320bk (2 curves)	1	2- 5- 7- 13-	2- -2 5- 7- -6 13- -4  4
Curve Equation t Generators 47320bk1 [0,1,0,-2283415,-1338914862] 2 [2971:134575:1] 47320bk2 [0,1,0,-36611540,-85278046112] 2 [-3494:70:1]
47320bl (1 curve)	1	2- 5- 7- 13-	2- -3 5- 7-  3 13- -6  0
Curve Equation t Generators 47320bl1 [0,0,0,-14931787,-44805671066] 1 [82914:7647185:8]

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