Cremona's table of elliptic curves

47808 = 2⁶ · 3² · 83

Class	r	Atkin-Lehner	Eigenvalues
47808a (1 curve)	1	2+ 3+ 83+	2+ 3+  1 -2  1  2  0  5
Curve Equation t Generators 47808a1 [0,0,0,-492,37552] 1 [102:1024:1]
47808b (2 curves)	1	2+ 3+ 83+	2+ 3+ -2  0  0 -6  4 -2
Curve Equation t Generators 47808b1 [0,0,0,-396,2800] 2 [-18:64:1] 47808b2 [0,0,0,-1356,-16016] 2 [-24:52:1]
47808c (1 curve)	1	2+ 3+ 83+	2+ 3+  3 -2  1 -2  0 -1
Curve Equation t Generators 47808c1 [0,0,0,-1836,-34128] 1 [318:5616:1]
47808d (1 curve)	0	2+ 3+ 83-	2+ 3+ -1 -2 -1  2  0  5
Curve Equation t 47808d1 [0,0,0,-4428,-1013904] 1
47808e (2 curves)	0	2+ 3+ 83-	2+ 3+  2  0  0 -6 -4 -2
Curve Equation t 47808e1 [0,0,0,-3564,-75600] 2 47808e2 [0,0,0,-12204,432432] 2
47808f (1 curve)	2	2+ 3+ 83-	2+ 3+ -3 -2 -1 -2  0 -1
Curve Equation t Generators 47808f1 [0,0,0,-204,1264] 1 [-10:48:1]&[6:-16:1]
47808g (1 curve)	2	2+ 3- 83+	2+ 3-  0 -3  1 -6  7 -6
Curve Equation t Generators 47808g1 [0,0,0,60,-736] 1 [8:16:1]&[20:92:1]
47808h (1 curve)	0	2+ 3- 83+	2+ 3-  1  0 -3  6  4  7
Curve Equation t 47808h1 [0,0,0,-31692,-2171792] 1
47808i (1 curve)	0	2+ 3- 83+	2+ 3- -1  2  5  4  4  1
Curve Equation t 47808i1 [0,0,0,-3,164] 1
47808j (1 curve)	0	2+ 3- 83+	2+ 3- -1 -2 -3  0  8 -3
Curve Equation t 47808j1 [0,0,0,5892,1904816] 1
47808k (1 curve)	2	2+ 3- 83+	2+ 3- -1 -4 -3 -2 -4  1
Curve Equation t Generators 47808k1 [0,0,0,852,-4304] 1 [38:288:1]&[6:32:1]
47808l (2 curves)	0	2+ 3- 83+	2+ 3-  2  4  0  0  2  0
Curve Equation t 47808l1 [0,0,0,-2604,46640] 2 47808l2 [0,0,0,3156,224048] 2
47808m (4 curves)	0	2+ 3- 83+	2+ 3-  2 -4 -4 -2 -2  4
Curve Equation t 47808m1 [0,0,0,-80679,-8820412] 2 47808m2 [0,0,0,-80724,-8810080] 4 47808m3 [0,0,0,-51564,-15260272] 2 47808m4 [0,0,0,-110604,-1698640] 2
47808n (1 curve)	0	2+ 3- 83+	2+ 3- -2  1 -5  2  3  2
Curve Equation t 47808n1 [0,0,0,-3756,-91856] 1
47808o (1 curve)	0	2+ 3- 83+	2+ 3- -2 -3  3  6 -5 -2
Curve Equation t 47808o1 [0,0,0,564,3184] 1
47808p (1 curve)	0	2+ 3- 83+	2+ 3-  3  2 -3  4  4  5
Curve Equation t 47808p1 [0,0,0,-327891,-72267388] 1
47808q (2 curves)	0	2+ 3- 83+	2+ 3- -3  2 -3  4  0  7
Curve Equation t 47808q1 [0,0,0,-444,-8656] 1 47808q2 [0,0,0,3876,196976] 1
47808r (2 curves)	0	2+ 3- 83+	2+ 3-  4  4  4  2 -6  2
Curve Equation t 47808r1 [0,0,0,672,7720] 2 47808r2 [0,0,0,-4188,75760] 2
47808s (1 curve)	0	2+ 3- 83+	2+ 3- -4 -5 -3  4  3  4
Curve Equation t 47808s1 [0,0,0,-252,-2160] 1
47808t (1 curve)	1	2+ 3- 83-	2+ 3-  0  1 -1  4  3 -4
Curve Equation t Generators 47808t1 [0,0,0,-120,-632] 1 [354:188:27]
47808u (1 curve)	1	2+ 3- 83-	2+ 3-  0  3 -1 -6  7  6
Curve Equation t Generators 47808u1 [0,0,0,60,736] 1 [-3:23:1]
47808v (1 curve)	1	2+ 3- 83-	2+ 3- -1 -2 -5  4  4 -1
Curve Equation t Generators 47808v1 [0,0,0,-3,-164] 1 [8:18:1]
47808w (1 curve)	1	2+ 3- 83-	2+ 3- -1 -4  3  6  4  3
Curve Equation t Generators 47808w1 [0,0,0,-4908,-400336] 1 [182:2176:1]
47808x (4 curves)	1	2+ 3- 83-	2+ 3-  2  4  4 -2 -2 -4
Curve Equation t Generators 47808x1 [0,0,0,-80679,8820412] 2 [21463956:3682822220:729] 47808x2 [0,0,0,-80724,8810080] 4 [210232:22680:1331] 47808x3 [0,0,0,-51564,15260272] 2 [21505:423549:125] 47808x4 [0,0,0,-110604,1698640] 2 [-327961260:663979960:970299]
47808y (1 curve)	1	2+ 3- 83-	2+ 3- -2 -1 -3 -2  3  2
Curve Equation t Generators 47808y1 [0,0,0,24,-376] 1 [14:52:1]
47808z (2 curves)	1	2+ 3- 83-	2+ 3- -2 -4  0  4 -6 -4
Curve Equation t Generators 47808z1 [0,0,0,-26796,1688240] 2 [88:108:1] 47808z2 [0,0,0,-25356,1877744] 2 [61:747:1]
47808ba (1 curve)	1	2+ 3- 83-	2+ 3-  3 -2  3  4  4 -5
Curve Equation t Generators 47808ba1 [0,0,0,-327891,72267388] 1 [41320:162:125]
47808bb (1 curve)	0	2- 3+ 83+	2- 3+ -1  2  1  2  0 -5
Curve Equation t 47808bb1 [0,0,0,-4428,1013904] 1
47808bc (2 curves)	0	2- 3+ 83+	2- 3+  2  0  0 -6 -4  2
Curve Equation t 47808bc1 [0,0,0,-3564,75600] 2 47808bc2 [0,0,0,-12204,-432432] 2
47808bd (2 curves)	0	2- 3+ 83+	2- 3+  2  0 -4  0  0  6
Curve Equation t 47808bd1 [0,0,0,-324,-2240] 2 47808bd2 [0,0,0,-204,-3920] 2
47808be (2 curves)	2	2- 3+ 83+	2- 3+ -2  0 -4  0  0 -6
Curve Equation t Generators 47808be1 [0,0,0,-2916,-60480] 2 [-32:8:1]&[70:280:1] 47808be2 [0,0,0,-1836,-105840] 2 [76:440:1]&[114:1080:1]
47808bf (1 curve)	0	2- 3+ 83+	2- 3+ -3  2  1 -2  0  1
Curve Equation t 47808bf1 [0,0,0,-204,-1264] 1
47808bg (1 curve)	1	2- 3+ 83-	2- 3+  1  2 -1  2  0 -5
Curve Equation t Generators 47808bg1 [0,0,0,-492,-37552] 1 [268:4368:1]
47808bh (2 curves)	1	2- 3+ 83-	2- 3+  2  0  4  0  0 -6
Curve Equation t Generators 47808bh1 [0,0,0,-324,2240] 2 [2:40:1] 47808bh2 [0,0,0,-204,3920] 2 [5:55:1]
47808bi (2 curves)	1	2- 3+ 83-	2- 3+ -2  0  0 -6  4  2
Curve Equation t Generators 47808bi1 [0,0,0,-396,-2800] 2 [-11:15:1] 47808bi2 [0,0,0,-1356,16016] 2 [34:96:1]
47808bj (2 curves)	1	2- 3+ 83-	2- 3+ -2  0  4  0  0  6
Curve Equation t Generators 47808bj1 [0,0,0,-2916,60480] 2 [28:28:1] 47808bj2 [0,0,0,-1836,105840] 2 [136:1540:1]
47808bk (1 curve)	1	2- 3+ 83-	2- 3+  3  2 -1 -2  0  1
Curve Equation t Generators 47808bk1 [0,0,0,-1836,34128] 1 [-48:108:1]
47808bl (1 curve)	1	2- 3- 83+	2- 3-  0 -1  1  4  3  4
Curve Equation t Generators 47808bl1 [0,0,0,-120,632] 1 [2:20:1]
47808bm (1 curve)	1	2- 3- 83+	2- 3- -1  4 -3  6  4 -3
Curve Equation t Generators 47808bm1 [0,0,0,-4908,400336] 1 [-4:648:1]
47808bn (1 curve)	1	2- 3- 83+	2- 3-  2  3 -1  0  3  0
Curve Equation t Generators 47808bn1 [0,0,0,-1524,22912] 1 [21:13:1]
47808bo (1 curve)	1	2- 3- 83+	2- 3- -2  1  3 -2  3 -2
Curve Equation t Generators 47808bo1 [0,0,0,24,376] 1 [-6:4:1]
47808bp (1 curve)	1	2- 3- 83+	2- 3- -2  3  3  0 -5  0
Curve Equation t Generators 47808bp1 [0,0,0,-2196,-74304] 1 [5845:446851:1]
47808bq (2 curves)	1	2- 3- 83+	2- 3- -2  4  0  4 -6  4
Curve Equation t Generators 47808bq1 [0,0,0,-26796,-1688240] 2 [136170:-4440352:125] 47808bq2 [0,0,0,-25356,-1877744] 2 [4338:285520:1]
47808br (1 curve)	1	2- 3- 83+	2- 3- -3  4  5  2  0 -5
Curve Equation t Generators 47808br1 [0,0,0,-1479,22336] 1 [68:486:1]
47808bs (2 curves)	1	2- 3- 83+	2- 3- -4  0 -4 -6 -6  6
Curve Equation t Generators 47808bs1 [0,0,0,-235947,-44113160] 2 [-1920748:-33534:6859] 47808bs2 [0,0,0,-232212,-45577280] 2 [1217731318:-181362921453:54872]
47808bt (1 curve)	0	2- 3- 83-	2- 3-  1  0  3  6  4 -7
Curve Equation t 47808bt1 [0,0,0,-31692,2171792] 1
47808bu (1 curve)	0	2- 3- 83-	2- 3- -1  2  3  0  8  3
Curve Equation t 47808bu1 [0,0,0,5892,-1904816] 1
47808bv (1 curve)	0	2- 3- 83-	2- 3- -1  4  3 -2 -4 -1
Curve Equation t 47808bv1 [0,0,0,852,4304] 1
47808bw (1 curve)	0	2- 3- 83-	2- 3-  2 -3  1  0  3  0
Curve Equation t 47808bw1 [0,0,0,-1524,-22912] 1
47808bx (2 curves)	0	2- 3- 83-	2- 3-  2 -4  0  0  2  0
Curve Equation t 47808bx1 [0,0,0,-2604,-46640] 2 47808bx2 [0,0,0,3156,-224048] 2
47808by (1 curve)	0	2- 3- 83-	2- 3- -2 -1  5  2  3 -2
Curve Equation t 47808by1 [0,0,0,-3756,91856] 1
47808bz (1 curve)	0	2- 3- 83-	2- 3- -2  3 -3  6 -5  2
Curve Equation t 47808bz1 [0,0,0,564,-3184] 1
47808ca (1 curve)	2	2- 3- 83-	2- 3- -2 -3 -3  0 -5  0
Curve Equation t Generators 47808ca1 [0,0,0,-2196,74304] 1 [-20:332:1]&[16:208:1]
47808cb (2 curves)	2	2- 3- 83-	2- 3- -3 -2  3  4  0 -7
Curve Equation t Generators 47808cb1 [0,0,0,-444,8656] 1 [-16:-108:1]&[-18:104:1] 47808cb2 [0,0,0,3876,-196976] 1 [326:5976:1]&[128:1548:1]
47808cc (1 curve)	0	2- 3- 83-	2- 3- -3 -4 -5  2  0  5
Curve Equation t 47808cc1 [0,0,0,-1479,-22336] 1
47808cd (2 curves)	0	2- 3- 83-	2- 3-  4 -4 -4  2 -6 -2
Curve Equation t 47808cd1 [0,0,0,672,-7720] 2 47808cd2 [0,0,0,-4188,-75760] 2
47808ce (2 curves)	0	2- 3- 83-	2- 3- -4  0  4 -6 -6 -6
Curve Equation t 47808ce1 [0,0,0,-235947,44113160] 2 47808ce2 [0,0,0,-232212,45577280] 2
47808cf (1 curve)	0	2- 3- 83-	2- 3- -4  5  3  4  3 -4
Curve Equation t 47808cf1 [0,0,0,-252,2160] 1

Data from Elliptic Curve Data by J. E. Cremona.
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Part of Computational Number Theory
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