Cremona's table of elliptic curves

33558 = 2 · 3 · 7 · 17 · 47

Class	r	Atkin-Lehner	Eigenvalues
33558a (2 curves)	1	2+ 3+ 7+ 17+ 47+	2+ 3+ -2 7+ -4 -4 17+  6
Curve Equation t Generators 33558a1 [1,1,0,159,-14751] 2 [39:-249:1] 33558a2 [1,1,0,-8171,-279645] 2 [-57:99:1]
33558b (2 curves)	0	2+ 3+ 7+ 17+ 47-	2+ 3+  4 7+ -6  4 17+  4
Curve Equation t 33558b1 [1,1,0,-528668,147740880] 2 33558b2 [1,1,0,-8458828,9465678880] 2
33558c (1 curve)	0	2+ 3+ 7+ 17+ 47-	2+ 3+ -4 7+  1 -4 17+ -2
Curve Equation t 33558c1 [1,1,0,-46342,6479380] 1
33558d (1 curve)	0	2+ 3+ 7+ 17- 47+	2+ 3+  4 7+  3  0 17- -6
Curve Equation t 33558d1 [1,1,0,-1132208,464673720] 1
33558e (2 curves)	1	2+ 3+ 7- 17- 47+	2+ 3+  0 7-  4 -2 17-  8
Curve Equation t Generators 33558e1 [1,1,0,-140,528] 2 [16:44:1] 33558e2 [1,1,0,-500,-3864] 2 [-13:32:1]
33558f (2 curves)	0	2+ 3- 7+ 17- 47-	2+ 3-  0 7+ -2  6 17-  0
Curve Equation t 33558f1 [1,0,1,-374756,88270562] 2 33558f2 [1,0,1,-370996,90129506] 2
33558g (2 curves)	0	2+ 3- 7- 17+ 47-	2+ 3-  0 7- -3 -4 17+  2
Curve Equation t 33558g1 [1,0,1,-71,4970] 3 33558g2 [1,0,1,634,-134056] 1
33558h (4 curves)	0	2+ 3- 7- 17- 47+	2+ 3-  0 7-  0  2 17- -4
Curve Equation t 33558h1 [1,0,1,-1681156,837904130] 6 33558h2 [1,0,1,-2147716,335512322] 6 33558h3 [1,0,1,-6548851,-5605998706] 2 33558h4 [1,0,1,-100920691,-390227869810] 2
33558i (2 curves)	0	2+ 3- 7- 17- 47+	2+ 3-  0 7- -3 -4 17-  2
Curve Equation t 33558i1 [1,0,1,451093754,-500589403258] 3 33558i2 [1,0,1,-6683687671,-220923898329070] 1
33558j (2 curves)	0	2+ 3- 7- 17- 47+	2+ 3-  2 7- -2 -4 17- -2
Curve Equation t 33558j1 [1,0,1,3940,62426] 2 33558j2 [1,0,1,-19100,541658] 2
33558k (2 curves)	0	2+ 3- 7- 17- 47+	2+ 3-  3 7-  3 -1 17-  2
Curve Equation t 33558k1 [1,0,1,-53337,6527428] 3 33558k2 [1,0,1,421728,-83569682] 1
33558l (1 curve)	1	2+ 3- 7- 17- 47-	2+ 3- -1 7-  3 -1 17- -6
Curve Equation t Generators 33558l1 [1,0,1,-2026914394,-39471833285332] 1 [54064:2968019:1]
33558m (1 curve)	1	2+ 3- 7- 17- 47-	2+ 3- -1 7- -3 -3 17-  2
Curve Equation t Generators 33558m1 [1,0,1,-2571139,-1587283840] 1 [3892:-219580:1]
33558n (2 curves)	1	2+ 3- 7- 17- 47-	2+ 3-  2 7-  6 -4 17-  6
Curve Equation t Generators 33558n1 [1,0,1,-33890,-3778144] 2 [234:940:1] 33558n2 [1,0,1,-624380,-189900592] 2 [-462:301:1]
33558o (2 curves)	1	2+ 3- 7- 17- 47-	2+ 3- -4 7-  0  6 17- -4
Curve Equation t Generators 33558o1 [1,0,1,-213,-608] 2 [-4:15:1] 33558o2 [1,0,1,-1653,25312] 2 [-4:180:1]
33558p (2 curves)	1	2+ 3- 7- 17- 47-	2+ 3- -4 7- -6  2 17-  0
Curve Equation t Generators 33558p1 [1,0,1,-7403,243542] 2 [0:493:1] 33558p2 [1,0,1,-3643,491702] 2 [163:1976:1]
33558q (2 curves)	0	2- 3+ 7+ 17+ 47+	2- 3+  0 7+ -2  4 17+  6
Curve Equation t 33558q1 [1,1,1,244077,-297551727] 2 33558q2 [1,1,1,-5471283,-4680089775] 2
33558r (2 curves)	0	2- 3+ 7+ 17+ 47+	2- 3+  0 7+  4  0 17+  0
Curve Equation t 33558r1 [1,1,1,-14161538,21070947215] 2 33558r2 [1,1,1,-228312578,1327734932879] 2
33558s (2 curves)	0	2- 3+ 7+ 17+ 47+	2- 3+  4 7+  0 -4 17+ -4
Curve Equation t 33558s1 [1,1,1,14,-229] 2 33558s2 [1,1,1,-496,-4309] 2
33558t (2 curves)	1	2- 3+ 7+ 17- 47+	2- 3+ -2 7+  2  0 17-  2
Curve Equation t Generators 33558t1 [1,1,1,171,-1605] 2 [15:-76:1] 33558t2 [1,1,1,-1509,-19749] 2 [-27:60:1]
33558u (2 curves)	1	2- 3+ 7+ 17- 47+	2- 3+  4 7+  0  0 17- -6
Curve Equation t Generators 33558u1 [1,1,1,-39479181,-95511445629] 2 [31555:5468732:1] 33558u2 [1,1,1,-631699341,-6111283830909] 2 [4553655:545772364:125]
33558v (4 curves)	0	2- 3+ 7+ 17- 47-	2- 3+  2 7+  4  2 17-  4
Curve Equation t 33558v1 [1,1,1,-24548747,-46825992007] 2 33558v2 [1,1,1,-24549067,-46824710599] 4 33558v3 [1,1,1,-23178547,-52282121239] 2 33558v4 [1,1,1,-25924707,-41285283447] 2
33558w (4 curves)	2	2- 3+ 7+ 17- 47-	2- 3+ -2 7+ -4 -6 17- -4
Curve Equation t Generators 33558w1 [1,1,1,-2414,-12373] 2 [-39:175:1]&[-31:199:1] 33558w2 [1,1,1,-22894,1314731] 4 [113:375:1]&[-119:1599:1] 33558w3 [1,1,1,-7854,3035307] 2 [-159:623:1]&[45:-1689:1] 33558w4 [1,1,1,-365614,84938411] 4 [-603:9607:1]&[-227:12615:1]
33558x (2 curves)	0	2- 3+ 7- 17- 47+	2- 3+  0 7-  2 -6 17- -6
Curve Equation t 33558x1 [1,1,1,-4263,315705] 2 33558x2 [1,1,1,-100653,12229509] 2
33558y (2 curves)	0	2- 3+ 7- 17- 47+	2- 3+  0 7-  6  2 17-  2
Curve Equation t 33558y1 [1,1,1,-11423,-474811] 2 33558y2 [1,1,1,-182783,-30154363] 2
33558z (4 curves)	0	2- 3+ 7- 17- 47+	2- 3+  2 7-  0  6 17-  8
Curve Equation t 33558z1 [1,1,1,-18802,998639] 4 33558z2 [1,1,1,-302022,63760191] 4 33558z3 [1,1,1,-303212,63230879] 2 33558z4 [1,1,1,-4832352,4086693231] 2
33558ba (1 curve)	0	2- 3+ 7- 17- 47+	2- 3+  3 7- -3 -7 17-  2
Curve Equation t 33558ba1 [1,1,1,11504041,174731964653] 1
33558bb (1 curve)	0	2- 3+ 7- 17- 47+	2- 3+ -4 7- -3  0 17-  2
Curve Equation t 33558bb1 [1,1,1,0,-9] 1
33558bc (2 curves)	1	2- 3+ 7- 17- 47-	2- 3+  0 7-  0 -2 17-  0
Curve Equation t Generators 33558bc1 [1,1,1,157,2045] 2 [23:124:1] 33558bc2 [1,1,1,-1733,23969] 2 [-242:1903:8]
33558bd (2 curves)	1	2- 3+ 7- 17- 47-	2- 3+  0 7- -4  2 17- -4
Curve Equation t Generators 33558bd1 [1,1,1,-10693,459467] 2 [-23:844:1] 33558bd2 [1,1,1,-175333,28184843] 2 [229:-444:1]
33558be (1 curve)	1	2- 3+ 7- 17- 47-	2- 3+ -1 7- -3  1 17- -6
Curve Equation t Generators 33558be1 [1,1,1,1739,-49573] 1 [313:5436:1]
33558bf (2 curves)	1	2- 3+ 7- 17- 47-	2- 3+ -2 7- -2 -2 17-  4
Curve Equation t Generators 33558bf1 [1,1,1,1211,-40693] 2 [29:126:1] 33558bf2 [1,1,1,-13069,-514789] 2 [-59:264:1]
33558bg (2 curves)	0	2- 3- 7+ 17- 47+	2- 3-  0 7+ -4  0 17- -4
Curve Equation t 33558bg1 [1,0,0,-81633,8970885] 2 33558bg2 [1,0,0,-1306143,574449603] 2
33558bh (4 curves)	0	2- 3- 7+ 17- 47+	2- 3-  2 7+  0  2 17-  0
Curve Equation t 33558bh1 [1,0,0,5118,1020852] 4 33558bh2 [1,0,0,-126102,16426080] 4 33558bh3 [1,0,0,-360192,-62274978] 2 33558bh4 [1,0,0,-1991532,1081586610] 2
33558bi (2 curves)	1	2- 3- 7+ 17- 47-	2- 3-  0 7+ -6  6 17-  2
Curve Equation t Generators 33558bi1 [1,0,0,-238,3140] 2 [8:-46:1] 33558bi2 [1,0,0,-4998,135468] 2 [-66:456:1]
33558bj (2 curves)	0	2- 3- 7- 17+ 47+	2- 3-  0 7-  2  4 17+  2
Curve Equation t 33558bj1 [1,0,0,-6888,-225792] 2 33558bj2 [1,0,0,-110928,-14229576] 2
33558bk (4 curves)	0	2- 3- 7- 17+ 47+	2- 3-  0 7- -6 -4 17+  2
Curve Equation t 33558bk1 [1,0,0,-2301198288,42489072158976] 6 33558bk2 [1,0,0,-36819173328,2719309711345920] 6 33558bk3 [1,0,0,-2062734288,51639186081024] 2 33558bk4 [1,0,0,-36820833648,2719052198786016] 2
33558bl (2 curves)	0	2- 3- 7- 17+ 47+	2- 3-  4 7- -2  0 17+  6
Curve Equation t 33558bl1 [1,0,0,-1686,29088] 2 33558bl2 [1,0,0,-27696,1771758] 2
33558bm (2 curves)	1	2- 3- 7- 17- 47+	2- 3- -4 7-  0 -4 17- -8
Curve Equation t Generators 33558bm1 [1,0,0,-8665,617081] 2 [44:-589:1] 33558bm2 [1,0,0,-173905,27881681] 2 [-340:7079:1]
33558bn (2 curves)	1	2- 3- 7- 17- 47+	2- 3- -4 7- -2  2 17- -2
Curve Equation t Generators 33558bn1 [1,0,0,-13885,1744241] 2 [-46:-1489:1] 33558bn2 [1,0,0,-318525,69069681] 2 [210:3279:1]

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