Cremona's table of elliptic curves

47658 = 2 · 3 · 13² · 47

Class	r	Atkin-Lehner	Eigenvalues
47658a (1 curve)	1	2+ 3+ 13+ 47+	2+ 3+  1  1 -3 13+  2 -1
Curve Equation t Generators 47658a1 [1,1,0,-6087,1447893] 1 [222:9015:8]
47658b (1 curve)	1	2+ 3+ 13+ 47+	2+ 3+ -2  1  3 13+ -6 -6
Curve Equation t Generators 47658b1 [1,1,0,139084,20525796] 1 [-125:1161:1]
47658c (1 curve)	1	2+ 3+ 13+ 47+	2+ 3+  4 -3  3 13+  0 -2
Curve Equation t Generators 47658c1 [1,1,0,7602,140340] 1 [5:420:1]
47658d (2 curves)	1	2+ 3+ 13+ 47+	2+ 3+  4  4  0 13+ -6 -6
Curve Equation t Generators 47658d1 [1,1,0,-2538,59220] 2 [15:150:1] 47658d2 [1,1,0,-43098,3425700] 2 [200:1590:1]
47658e (4 curves)	0	2+ 3+ 13+ 47-	2+ 3+ -2  0  0 13+  2  0
Curve Equation t 47658e1 [1,1,0,9799,-182619] 2 47658e2 [1,1,0,-44281,-1599515] 4 47658e3 [1,1,0,-362001,82596285] 2 47658e4 [1,1,0,-591841,-175395059] 2
47658f (1 curve)	0	2+ 3+ 13+ 47-	2+ 3+ -3  5  2 13+  2 -5
Curve Equation t 47658f1 [1,1,0,1011,15111] 1
47658g (1 curve)	0	2+ 3+ 13- 47+	2+ 3+  0  3  3 13- -6  0
Curve Equation t 47658g1 [1,1,0,-1761490,901556596] 1
47658h (2 curves)	1	2+ 3+ 13- 47-	2+ 3+ -2 -4  4 13- -2  4
Curve Equation t Generators 47658h1 [1,1,0,-274121,55968645] 2 [-230:10455:1] 47658h2 [1,1,0,-4404481,3556035709] 2 [1967:49094:1]
47658i (2 curves)	0	2+ 3- 13+ 47+	2+ 3-  0 -4 -3 13+  0 -4
Curve Equation t 47658i1 [1,0,1,-3891,115936] 3 47658i2 [1,0,1,29064,-1030898] 1
47658j (2 curves)	1	2+ 3- 13+ 47-	2+ 3-  0 -2 -6 13+  3 -2
Curve Equation t Generators 47658j1 [1,0,1,-9806,422840] 1 [66:220:1] 47658j2 [1,0,1,66244,-1670056] 1 [144:-3368:1]
47658k (1 curve)	1	2+ 3- 13+ 47-	2+ 3-  0  3  1 13+ -4  2
Curve Equation t Generators 47658k1 [1,0,1,-8116,324482] 1 [40:-274:1]
47658l (1 curve)	1	2+ 3- 13+ 47-	2+ 3-  1  4  0 13+  3 -4
Curve Equation t Generators 47658l1 [1,0,1,-11223,-1006406] 1 [143:492:1]
47658m (1 curve)	1	2+ 3- 13- 47+	2+ 3-  1  1  0 13- -4 -3
Curve Equation t Generators 47658m1 [1,0,1,-33697083,-79997368826] 1 [16258723586:-316678979007:2352637]
47658n (2 curves)	0	2+ 3- 13- 47-	2+ 3-  2 -4 -2 13-  6  4
Curve Equation t 47658n1 [1,0,1,-30,28] 2 47658n2 [1,0,1,100,236] 2
47658o (1 curve)	0	2+ 3- 13- 47-	2+ 3-  2  5  1 13-  0  4
Curve Equation t 47658o1 [1,0,1,-2282180,2099028674] 1
47658p (1 curve)	0	2+ 3- 13- 47-	2+ 3- -2  4 -6 13-  5  6
Curve Equation t 47658p1 [1,0,1,-11165847,-14618680646] 1
47658q (2 curves)	0	2+ 3- 13- 47-	2+ 3-  3  3  0 13- -8  1
Curve Equation t 47658q1 [1,0,1,-1642,-25738] 1 47658q2 [1,0,1,9083,-29872] 1
47658r (4 curves)	0	2- 3+ 13+ 47+	2- 3+ -2  0  0 13+ -6  4
Curve Equation t 47658r1 [1,1,1,-10059,254457] 4 47658r2 [1,1,1,-64139,-6083719] 4 47658r3 [1,1,1,23741,-21374839] 2 47658r4 [1,1,1,-1017299,-395354263] 2
47658s (1 curve)	1	2- 3+ 13+ 47-	2- 3+  1 -1  2 13+  6  3
Curve Equation t Generators 47658s1 [1,1,1,-7355,-251191] 1 [109:452:1]
47658t (1 curve)	1	2- 3+ 13+ 47-	2- 3+  1 -3 -6 13+  2 -3
Curve Equation t Generators 47658t1 [1,1,1,-75800,-9235231] 1 [5803:438695:1]
47658u (1 curve)	1	2- 3+ 13+ 47-	2- 3+ -1 -1  3 13+  2  1
Curve Equation t Generators 47658u1 [1,1,1,-36,645] 1 [-5:29:1]
47658v (1 curve)	1	2- 3+ 13+ 47-	2- 3+  2  3 -3 13+ -2  2
Curve Equation t Generators 47658v1 [1,1,1,-2282602,-1328326537] 1 [2281:71931:1]
47658w (1 curve)	1	2- 3+ 13+ 47-	2- 3+ -2  3 -3 13+  2 -6
Curve Equation t Generators 47658w1 [1,1,1,20464291,33446740595] 1 [-1051:104348:1]
47658x (1 curve)	1	2- 3+ 13+ 47-	2- 3+ -4 -1 -3 13+ -4 -2
Curve Equation t Generators 47658x1 [1,1,1,183947455,-1954438168129] 1 [78593:22275904:1]
47658y (2 curves)	1	2- 3+ 13- 47+	2- 3+  2  4 -4 13- -2 -4
Curve Equation t Generators 47658y1 [1,1,1,-1622,24851] 2 [5:127:1] 47658y2 [1,1,1,-26062,1608563] 2 [99:55:1]
47658z (1 curve)	2	2- 3+ 13- 47-	2- 3+  0 -3 -3 13- -6  0
Curve Equation t Generators 47658z1 [1,1,1,-10423,406349] 1 [-922:2901:8]&[61:16:1]
47658ba (1 curve)	1	2- 3- 13+ 47+	2- 3- -1 -4  0 13+  3  4
Curve Equation t Generators 47658ba1 [1,0,0,-1896606,-2209176828] 1 [2142:58572:1]
47658bb (2 curves)	0	2- 3- 13+ 47-	2- 3-  0  0  0 13+ -6  2
Curve Equation t 47658bb1 [1,0,0,-15298,7270340] 2 47658bb2 [1,0,0,-664258,207020228] 2
47658bc (2 curves)	0	2- 3- 13+ 47-	2- 3-  0  4  3 13+  0  4
Curve Equation t 47658bc1 [1,0,0,-23,51] 1 47658bc2 [1,0,0,172,-456] 1
47658bd (2 curves)	0	2- 3- 13+ 47-	2- 3- -2 -2  0 13+  6  2
Curve Equation t 47658bd1 [1,0,0,-21044,1199184] 2 47658bd2 [1,0,0,-338764,75863384] 2
47658be (1 curve)	0	2- 3- 13+ 47-	2- 3-  4 -2  6 13+  3  2
Curve Equation t 47658be1 [1,0,0,836969,1895662313] 1
47658bf (1 curve)	0	2- 3- 13- 47+	2- 3-  2 -4  6 13-  5 -6
Curve Equation t 47658bf1 [1,0,0,-1887028062,-32115354350652] 1
47658bg (2 curves)	0	2- 3- 13- 47+	2- 3- -2  4  2 13-  6 -4
Curve Equation t 47658bg1 [1,0,0,-4989,67053] 2 47658bg2 [1,0,0,16981,502059] 2
47658bh (1 curve)	2	2- 3- 13- 47+	2- 3- -2 -5 -1 13-  0 -4
Curve Equation t Generators 47658bh1 [1,0,0,-13504,954368] 1 [-64:-1216:1]&[-128:832:1]
47658bi (2 curves)	0	2- 3- 13- 47+	2- 3- -3 -3  0 13- -8 -1
Curve Equation t 47658bi1 [1,0,0,-277417,-56268421] 1 47658bi2 [1,0,0,1535108,-67163344] 1
47658bj (1 curve)	1	2- 3- 13- 47-	2- 3- -1 -1  0 13- -4  3
Curve Equation t Generators 47658bj1 [1,0,0,-199391,-36427431] 1 [1678:65149:1]

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