Cremona's table of elliptic curves

47430 = 2 · 3² · 5 · 17 · 31

Class	r	Atkin-Lehner	Eigenvalues
47430a (2 curves)	1	2+ 3+ 5+ 17+ 31+	2+ 3+ 5+  4 -2 -6 17+  4
Curve Equation t Generators 47430a1 [1,-1,0,255,-15895] 2 [238:935:8] 47430a2 [1,-1,0,-8115,-268669] 2 [1966:27339:8]
47430b (2 curves)	1	2+ 3+ 5+ 17- 31-	2+ 3+ 5+  2 -2  4 17-  4
Curve Equation t Generators 47430b1 [1,-1,0,-539640,152724800] 2 [427:-86:1] 47430b2 [1,-1,0,-8634360,9767633216] 2 [-647:123136:1]
47430c (1 curve)	1	2+ 3+ 5+ 17- 31-	2+ 3+ 5+  5 -5  4 17- -5
Curve Equation t Generators 47430c1 [1,-1,0,-660,-8950] 1 [37:109:1]
47430d (2 curves)	0	2+ 3+ 5- 17+ 31+	2+ 3+ 5-  0  6 -2 17+  0
Curve Equation t 47430d1 [1,-1,0,-7089,560285] 2 47430d2 [1,-1,0,-153969,23267933] 2
47430e (1 curve)	0	2+ 3+ 5- 17+ 31+	2+ 3+ 5-  4  5  5 17+  0
Curve Equation t 47430e1 [1,-1,0,59466,-2301580] 1
47430f (1 curve)	2	2+ 3+ 5- 17- 31-	2+ 3+ 5- -4  1 -5 17- -8
Curve Equation t Generators 47430f1 [1,-1,0,-129,653] 1 [2:19:1]&[-11:31:1]
47430g (1 curve)	0	2+ 3- 5+ 17+ 31+	2+ 3- 5+  3  3  4 17+ -3
Curve Equation t 47430g1 [1,-1,0,-14040,-636854] 1
47430h (4 curves)	0	2+ 3- 5+ 17+ 31+	2+ 3- 5+ -4  4  2 17+  4
Curve Equation t 47430h1 [1,-1,0,163440,-5262080] 2 47430h2 [1,-1,0,-668880,-42050624] 4 47430h3 [1,-1,0,-6550200,6416815000] 2 47430h4 [1,-1,0,-8104680,-8865370904] 2
47430i (1 curve)	1	2+ 3- 5+ 17- 31+	2+ 3- 5+  0  0  1 17- -6
Curve Equation t Generators 47430i1 [1,-1,0,-1590,-20044] 1 [-28:58:1]
47430j (4 curves)	1	2+ 3- 5+ 17- 31+	2+ 3- 5+  0 -4 -6 17- -4
Curve Equation t Generators 47430j1 [1,-1,0,480,48896] 2 [-7:216:1] 47430j2 [1,-1,0,-17520,866096] 4 [-67:1351:1] 47430j3 [1,-1,0,-45420,-2554444] 2 [-103:1063:1] 47430j4 [1,-1,0,-277620,56371436] 2 [307:-77:1]
47430k (3 curves)	0	2+ 3- 5+ 17- 31-	2+ 3- 5+ -1 -3 -4 17- -7
Curve Equation t 47430k1 [1,-1,0,-318223350,-2184959407500] 1 47430k2 [1,-1,0,-76438350,-5398463578500] 3 47430k3 [1,-1,0,687700800,145469172543210] 3
47430l (4 curves)	1	2+ 3- 5- 17+ 31+	2+ 3- 5-  0  4  2 17+ -4
Curve Equation t Generators 47430l1 [1,-1,0,-4554,-1292] 2 [43528:218707:512] 47430l2 [1,-1,0,-50634,-4360460] 4 [2638:29371:8] 47430l3 [1,-1,0,-29034,-8123180] 2 [3409802:-43410379:10648] 47430l4 [1,-1,0,-809514,-280137452] 2 [20046:916727:8]
47430m (4 curves)	1	2+ 3- 5- 17+ 31+	2+ 3- 5-  0 -4  2 17+  4
Curve Equation t Generators 47430m1 [1,-1,0,46206,556308] 2 [52:1734:1] 47430m2 [1,-1,0,-187074,4615380] 4 [-324:5742:1] 47430m3 [1,-1,0,-1894554,-998358372] 2 [-783:2529:1] 47430m4 [1,-1,0,-2212074,1264570380] 2 [961:4577:1]
47430n (1 curve)	1	2+ 3- 5- 17+ 31+	2+ 3- 5- -1 -3 -5 17+  1
Curve Equation t Generators 47430n1 [1,-1,0,46701,99936693] 1 [582:17709:1]
47430o (1 curve)	1	2+ 3- 5- 17+ 31+	2+ 3- 5-  3  1 -1 17+ -7
Curve Equation t Generators 47430o1 [1,-1,0,1836,-12020] 1 [20:170:1]
47430p (2 curves)	0	2+ 3- 5- 17- 31+	2+ 3- 5-  2  0 -4 17-  4
Curve Equation t 47430p1 [1,-1,0,-1172844,-1100548400] 2 47430p2 [1,-1,0,-24698124,-47195982032] 2
47430q (1 curve)	2	2+ 3- 5- 17- 31+	2+ 3- 5- -2 -3  1 17- -6
Curve Equation t Generators 47430q1 [1,-1,0,-48969,8219533] 1 [-163:3524:1]&[194:2351:1]
47430r (2 curves)	2	2+ 3- 5- 17- 31+	2+ 3- 5- -4 -4 -2 17- -4
Curve Equation t Generators 47430r1 [1,-1,0,-1404,134460] 2 [-54:252:1]&[-378:2637:8] 47430r2 [1,-1,0,-48834,4147038] 2 [-2034:3267:8]&[177:-1101:1]
47430s (1 curve)	0	2+ 3- 5- 17- 31+	2+ 3- 5-  5  3  5 17-  1
Curve Equation t 47430s1 [1,-1,0,-23949,-1422635] 1
47430t (1 curve)	1	2+ 3- 5- 17- 31-	2+ 3- 5-  1 -1  0 17- -7
Curve Equation t Generators 47430t1 [1,-1,0,-234,5620] 1 [-1:77:1]
47430u (1 curve)	1	2- 3+ 5+ 17+ 31-	2- 3+ 5+ -4 -1 -5 17+ -8
Curve Equation t Generators 47430u1 [1,-1,1,-1163,-16469] 1 [43:86:1]
47430v (2 curves)	1	2- 3+ 5+ 17- 31+	2- 3+ 5+  0 -6 -2 17-  0
Curve Equation t Generators 47430v1 [1,-1,1,-788,-20489] 2 [71:-563:1] 47430v2 [1,-1,1,-17108,-856073] 2 [-77:53:1]
47430w (1 curve)	1	2- 3+ 5+ 17- 31+	2- 3+ 5+  4 -5  5 17-  0
Curve Equation t Generators 47430w1 [1,-1,1,6607,83041] 1 [343:6356:1]
47430x (2 curves)	0	2- 3+ 5- 17+ 31-	2- 3+ 5-  2  2  4 17+  4
Curve Equation t 47430x1 [1,-1,1,-4856762,-4118712839] 2 47430x2 [1,-1,1,-77709242,-263648387591] 2
47430y (1 curve)	0	2- 3+ 5- 17+ 31-	2- 3+ 5-  5  5  4 17+ -5
Curve Equation t 47430y1 [1,-1,1,-5942,247591] 1
47430z (2 curves)	0	2- 3+ 5- 17- 31+	2- 3+ 5-  4  2 -6 17-  4
Curve Equation t 47430z1 [1,-1,1,28,579] 2 47430z2 [1,-1,1,-902,10251] 2
47430ba (1 curve)	1	2- 3- 5+ 17+ 31+	2- 3- 5+ -2  2  3 17+ -2
Curve Equation t Generators 47430ba1 [1,-1,1,-3213833,1868999177] 1 [577:14080:1]
47430bb (4 curves)	0	2- 3- 5+ 17+ 31-	2- 3- 5+  0  0 -2 17+  4
Curve Equation t 47430bb1 [1,-1,1,-3002198,2002948197] 2 47430bb2 [1,-1,1,-3013718,1986810981] 4 47430bb3 [1,-1,1,-223718,5520066981] 2 47430bb4 [1,-1,1,-5988038,-2579365083] 2
47430bc (1 curve)	0	2- 3- 5+ 17+ 31-	2- 3- 5+  1 -5 -1 17+ -3
Curve Equation t 47430bc1 [1,-1,1,-4208,200927] 1
47430bd (2 curves)	0	2- 3- 5+ 17+ 31-	2- 3- 5+  2  4  4 17+  4
Curve Equation t 47430bd1 [1,-1,1,889357,304386707] 2 47430bd2 [1,-1,1,-4991963,2852174531] 2
47430be (1 curve)	0	2- 3- 5+ 17+ 31-	2- 3- 5+ -2  1  5 17+ -6
Curve Equation t 47430be1 [1,-1,1,-686858,-299050279] 1
47430bf (1 curve)	1	2- 3- 5+ 17- 31-	2- 3- 5+  1 -3 -4 17-  5
Curve Equation t Generators 47430bf1 [1,-1,1,6187,888117] 1 [245:4008:1]
47430bg (1 curve)	0	2- 3- 5- 17+ 31+	2- 3- 5-  3  5 -1 17+  1
Curve Equation t 47430bg1 [1,-1,1,-347,-2869] 1
47430bh (2 curves)	1	2- 3- 5- 17+ 31-	2- 3- 5-  0  0 -2 17+  4
Curve Equation t Generators 47430bh1 [1,-1,1,-3092,-70509] 2 [1078:10617:8] 47430bh2 [1,-1,1,-50522,-4358181] 2 [2166:9513:8]
47430bi (1 curve)	1	2- 3- 5- 17- 31+	2- 3- 5-  1 -1 -3 17-  1
Curve Equation t Generators 47430bi1 [1,-1,1,-63752,6226251] 1 [101:849:1]
47430bj (4 curves)	0	2- 3- 5- 17- 31-	2- 3- 5-  0  0  6 17-  4
Curve Equation t 47430bj1 [1,-1,1,8788,-1615201] 4 47430bj2 [1,-1,1,-164192,-24033409] 4 47430bj3 [1,-1,1,-512942,112397591] 2 47430bj4 [1,-1,1,-2583122,-1597305481] 2
47430bk (2 curves)	0	2- 3- 5- 17- 31-	2- 3- 5- -1  3  5 17- -7
Curve Equation t 47430bk1 [1,-1,1,-695012,-222849529] 1 47430bk2 [1,-1,1,-155147,-557646181] 3
47430bl (2 curves)	0	2- 3- 5- 17- 31-	2- 3- 5-  2  6  5 17-  2
Curve Equation t 47430bl1 [1,-1,1,-3542,-79819] 1 47430bl2 [1,-1,1,-21677,1179029] 3
47430bm (1 curve)	0	2- 3- 5- 17- 31-	2- 3- 5- -2  5 -7 17-  2
Curve Equation t 47430bm1 [1,-1,1,1138,-111571] 1

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