Cremona's table of elliptic curves

47376 = 2⁴ · 3² · 7 · 47

Class	r	Atkin-Lehner	Eigenvalues
47376a (2 curves)	1	2+ 3+ 7+ 47+	2+ 3+  2 7+  4  4  2 -2
Curve Equation t Generators 47376a1 [0,0,0,-54,-145] 2 [-220:5:64] 47376a2 [0,0,0,-159,590] 2 [-2:30:1]
47376b (1 curve)	1	2+ 3+ 7+ 47+	2+ 3+ -2 7+ -5 -6  5 -5
Curve Equation t Generators 47376b1 [0,0,0,-636,-7124] 1 [41:189:1]
47376c (1 curve)	0	2+ 3+ 7+ 47-	2+ 3+  2 7+  5 -6 -5 -5
Curve Equation t 47376c1 [0,0,0,-5724,192348] 1
47376d (2 curves)	0	2+ 3+ 7+ 47-	2+ 3+ -2 7+ -4  4 -2 -2
Curve Equation t 47376d1 [0,0,0,-486,3915] 2 47376d2 [0,0,0,-1431,-15930] 2
47376e (1 curve)	0	2+ 3- 7+ 47+	2+ 3-  0 7+ -1  2 -3  7
Curve Equation t 47376e1 [0,0,0,60,-628] 1
47376f (2 curves)	2	2+ 3- 7+ 47+	2+ 3-  0 7+ -2 -4 -2 -4
Curve Equation t Generators 47376f1 [0,0,0,-615,10726] 2 [-10:126:1]&[-3:112:1] 47376f2 [0,0,0,-11955,502882] 2 [-126:94:1]&[-13:810:1]
47376g (2 curves)	0	2+ 3- 7+ 47+	2+ 3-  0 7+  6  4  2  2
Curve Equation t 47376g1 [0,0,0,4965,-89318] 2 47376g2 [0,0,0,-24195,-783326] 2
47376h (1 curve)	0	2+ 3- 7+ 47+	2+ 3- -1 7+  1 -2  8 -2
Curve Equation t 47376h1 [0,0,0,-8643,311474] 1
47376i (4 curves)	0	2+ 3- 7+ 47+	2+ 3-  2 7+ -4  6  6  0
Curve Equation t 47376i1 [0,0,0,681,19798] 2 47376i2 [0,0,0,-8139,254410] 4 47376i3 [0,0,0,-30819,-1809470] 2 47376i4 [0,0,0,-126579,17333458] 2
47376j (2 curves)	2	2+ 3- 7+ 47+	2+ 3- -2 7+ -2  0  2 -2
Curve Equation t Generators 47376j1 [0,0,0,-426,-425] 2 [-13:54:1]&[63:472:1] 47376j2 [0,0,0,1689,-3386] 2 [5:72:1]&[9:112:1]
47376k (2 curves)	0	2+ 3- 7+ 47+	2+ 3-  4 7+  0  2  2 -8
Curve Equation t 47376k1 [0,0,0,-363,-6550] 2 47376k2 [0,0,0,-7923,-271150] 2
47376l (2 curves)	0	2+ 3- 7+ 47+	2+ 3- -4 7+ -2  4  2 -2
Curve Equation t 47376l1 [0,0,0,-10587,-1513510] 2 47376l2 [0,0,0,-273027,-54788830] 2
47376m (2 curves)	1	2+ 3- 7+ 47-	2+ 3- -2 7+  2 -4 -2  6
Curve Equation t Generators 47376m1 [0,0,0,-2946,-61045] 2 [2289:14752:27] 47376m2 [0,0,0,-831,-146914] 2 [301:5184:1]
47376n (4 curves)	1	2+ 3- 7+ 47-	2+ 3- -2 7+  4 -2  6 -8
Curve Equation t Generators 47376n1 [0,0,0,-41466,-2963945] 2 [113021897329:-1758529183320:302111711] 47376n2 [0,0,0,-149511,18969190] 4 [-13212:409981:64] 47376n3 [0,0,0,265029,105442234] 2 [65:11088:1] 47376n4 [0,0,0,-2292771,1336216786] 4 [-814:51606:1]
47376o (2 curves)	1	2+ 3- 7- 47+	2+ 3-  0 7-  2  4 -6 -2
Curve Equation t Generators 47376o1 [0,0,0,-1035,18954] 2 [3:126:1] 47376o2 [0,0,0,-18675,982098] 2 [31:658:1]
47376p (2 curves)	1	2+ 3- 7- 47+	2+ 3- -2 7- -2 -4 -2  6
Curve Equation t Generators 47376p1 [0,0,0,-111,-3026] 2 [26:108:1] 47376p2 [0,0,0,-3891,-92990] 2 [-37:18:1]
47376q (2 curves)	1	2+ 3- 7- 47+	2+ 3- -2 7- -6 -6  2  0
Curve Equation t Generators 47376q1 [0,0,0,-1011,-12350] 2 [-18:4:1] 47376q2 [0,0,0,-1371,-2774] 2 [-25:126:1]
47376r (2 curves)	0	2+ 3- 7- 47-	2+ 3-  0 7-  6  0 -2  8
Curve Equation t 47376r1 [0,0,0,7305,-368426] 2 47376r2 [0,0,0,-54435,-3912302] 2
47376s (1 curve)	0	2+ 3- 7- 47-	2+ 3- -1 7-  3  6  4  6
Curve Equation t 47376s1 [0,0,0,-3,754] 1
47376t (4 curves)	0	2+ 3- 7- 47-	2+ 3-  2 7-  0 -6 -2  0
Curve Equation t 47376t1 [0,0,0,-7194,-173945] 2 47376t2 [0,0,0,-106599,-13394810] 4 47376t3 [0,0,0,-98139,-15609638] 2 47376t4 [0,0,0,-1705539,-857315342] 2
47376u (2 curves)	0	2+ 3- 7- 47-	2+ 3-  4 7- -6 -4  6  0
Curve Equation t 47376u1 [0,0,0,-6663,224390] 2 47376u2 [0,0,0,-108723,13798370] 2
47376v (2 curves)	0	2- 3+ 7+ 47+	2- 3+ -2 7+  4 -6 -4  6
Curve Equation t 47376v1 [0,0,0,-96,135] 2 47376v2 [0,0,0,-831,-9126] 2
47376w (2 curves)	1	2- 3+ 7+ 47-	2- 3+  2 7+ -4 -6  4  6
Curve Equation t Generators 47376w1 [0,0,0,-864,-3645] 2 [-1052:5005:64] 47376w2 [0,0,0,-7479,246402] 2 [-54:702:1]
47376x (1 curve)	1	2- 3+ 7- 47+	2- 3+  2 7- -1  2  3 -7
Curve Equation t Generators 47376x1 [0,0,0,-864,12528] 1 [129:1431:1]
47376y (1 curve)	0	2- 3+ 7- 47-	2- 3+ -2 7-  1  2 -3 -7
Curve Equation t 47376y1 [0,0,0,-96,-464] 1
47376z (4 curves)	1	2- 3- 7+ 47+	2- 3-  0 7+  0  2 -6  4
Curve Equation t Generators 47376z1 [0,0,0,-72435,7552946] 2 [137:-448:1] 47376z2 [0,0,0,-1161075,481546802] 2 [199:16074:1] 47376z3 [0,0,0,212685,40175858] 2 [-113:3834:1] 47376z4 [0,0,0,-1269075,386611346] 2 [5375:385814:1]
47376ba (1 curve)	1	2- 3- 7+ 47+	2- 3-  0 7+ -1  2  5 -1
Curve Equation t Generators 47376ba1 [0,0,0,-264360,52336748] 1 [322:774:1]
47376bb (2 curves)	1	2- 3- 7+ 47+	2- 3-  0 7+  2 -4  2  8
Curve Equation t Generators 47376bb1 [0,0,0,-75,-47878] 2 [58:378:1] 47376bb2 [0,0,0,-20235,-1092166] 2 [250:3078:1]
47376bc (2 curves)	1	2- 3- 7+ 47+	2- 3-  0 7+  3  2 -3 -5
Curve Equation t Generators 47376bc1 [0,0,0,-2080200,-1161758932] 1 [53269155486238:-1250860205466954:27516255859] 47376bc2 [0,0,0,-168778200,-843961508836] 1 [1026157486968222563213625578688288366501830:-243238097834540840584673969258153977035442614:17311949917190379293214377316940588133]
47376bd (2 curves)	1	2- 3- 7+ 47+	2- 3-  0 7+ -6  0  2  2
Curve Equation t Generators 47376bd1 [0,0,0,-6915,1170178] 2 [-73:1134:1] 47376bd2 [0,0,0,-214275,38038786] 2 [207:1598:1]
47376be (4 curves)	1	2- 3- 7+ 47+	2- 3-  0 7+ -6 -4 -6  4
Curve Equation t Generators 47376be1 [0,0,0,-160635,88016042] 2 [2509:124416:1] 47376be2 [0,0,0,-4111995,3202477994] 2 [938:13066:1] 47376be3 [0,0,0,1426965,-2208860134] 2 [29810:1873557:8] 47376be4 [0,0,0,-19216875,-29636265958] 2 [507401758:-10593289107:97336]
47376bf (1 curve)	1	2- 3- 7+ 47+	2- 3-  1 7+  1 -6  2  0
Curve Equation t Generators 47376bf1 [0,0,0,-2547,49842] 1 [31:26:1]
47376bg (2 curves)	1	2- 3- 7+ 47+	2- 3- -3 7+  3  2  0 -2
Curve Equation t Generators 47376bg1 [0,0,0,501,20666] 1 [-1:142:1] 47376bg2 [0,0,0,-4539,-579094] 1 [20663:2970214:1]
47376bh (2 curves)	1	2- 3- 7+ 47+	2- 3-  4 7+ -2  0  2  6
Curve Equation t Generators 47376bh1 [0,0,0,240237,34892370] 2 [-13245:358974:125] 47376bh2 [0,0,0,-1234323,313584210] 2 [1671970905:166608285606:166375]
47376bi (2 curves)	0	2- 3- 7+ 47-	2- 3- -2 7+  2  0 -2  0
Curve Equation t 47376bi1 [0,0,0,-13971,-657326] 2 47376bi2 [0,0,0,-225651,-41257550] 2
47376bj (1 curve)	0	2- 3- 7+ 47-	2- 3-  4 7+  5 -6 -5  3
Curve Equation t 47376bj1 [0,0,0,5352,49660] 1
47376bk (4 curves)	0	2- 3- 7- 47+	2- 3-  2 7-  0 -6  6  4
Curve Equation t 47376bk1 [0,0,0,5181,-5182] 2 47376bk2 [0,0,0,-20739,-41470] 4 47376bk3 [0,0,0,-223779,40607138] 2 47376bk4 [0,0,0,-232419,-43012510] 2
47376bl (6 curves)	0	2- 3- 7- 47+	2- 3-  2 7- -4 -2 -2  4
Curve Equation t 47376bl1 [0,0,0,-988419,387175682] 2 47376bl2 [0,0,0,-15918339,24445248770] 4 47376bl3 [0,0,0,-16022019,24110673410] 4 47376bl4 [0,0,0,-254693379,1564496501762] 2 47376bl5 [0,0,0,3063741,78005042498] 4 47376bl6 [0,0,0,-36766659,-51196518718] 2
47376bm (2 curves)	0	2- 3- 7- 47+	2- 3-  2 7- -4  4  4 -8
Curve Equation t 47376bm1 [0,0,0,-34284,-2443345] 2 47376bm2 [0,0,0,-34599,-2396158] 2
47376bn (1 curve)	0	2- 3- 7- 47+	2- 3- -4 7-  1 -2  3 -1
Curve Equation t 47376bn1 [0,0,0,-297552,174013040] 1
47376bo (2 curves)	1	2- 3- 7- 47-	2- 3-  0 7- -2 -4  2  0
Curve Equation t Generators 47376bo1 [0,0,0,-342795,-78216518] 2 [17224057:137797632:24389] 47376bo2 [0,0,0,-5503755,-4969774406] 2 [878692315:-166422634182:24389]
47376bp (1 curve)	1	2- 3- 7- 47-	2- 3-  0 7-  3  6 -3 -5
Curve Equation t Generators 47376bp1 [0,0,0,-30000,2000752] 1 [89:189:1]
47376bq (1 curve)	1	2- 3- 7- 47-	2- 3-  1 7-  1  2  0  2
Curve Equation t Generators 47376bq1 [0,0,0,-16849227,31558286842] 1 [-3249:228046:1]
47376br (1 curve)	1	2- 3- 7- 47-	2- 3-  1 7- -5  2  6 -4
Curve Equation t Generators 47376br1 [0,0,0,3453,-56702] 1 [3879:241618:1]
47376bs (2 curves)	1	2- 3- 7- 47-	2- 3-  2 7-  0 -4 -4 -4
Curve Equation t Generators 47376bs1 [0,0,0,-444,3575] 2 [25:90:1] 47376bs2 [0,0,0,-759,-2158] 2 [242:405:8]
47376bt (2 curves)	1	2- 3- 7- 47-	2- 3-  2 7-  2  0 -2  4
Curve Equation t Generators 47376bt1 [0,0,0,-591699,-533628398] 2 [4199:266490:1] 47376bt2 [0,0,0,-14139219,-20429516270] 2 [-60171:95410:27]
47376bu (2 curves)	1	2- 3- 7- 47-	2- 3-  2 7- -2  4 -6  2
Curve Equation t Generators 47376bu1 [0,0,0,229821,16675202] 2 [529:16920:1] 47376bu2 [0,0,0,-994899,138412370] 2 [-1033:7990:1]
47376bv (4 curves)	1	2- 3- 7- 47-	2- 3- -2 7-  0  2 -2  4
Curve Equation t Generators 47376bv1 [0,0,0,-8931,-324830] 2 [2249:106560:1] 47376bv2 [0,0,0,-9651,-269390] 4 [-78:94:1] 47376bv3 [0,0,0,24189,-1738046] 2 [209:-3528:1] 47376bv4 [0,0,0,-55011,4747426] 2 [-265:846:1]
47376bw (4 curves)	1	2- 3- 7- 47-	2- 3- -2 7-  0  2  6 -4
Curve Equation t Generators 47376bw1 [0,0,0,-71659731,22041425810] 2 [17156:3417505:64] 47376bw2 [0,0,0,-826634451,9127791523730] 4 [8018:1736462:1] 47376bw3 [0,0,0,-514765011,16096638908306] 2 [-7079:4402944:1] 47376bw4 [0,0,0,-13218099411,584926950406034] 2 [66335:-19082:1]
47376bx (2 curves)	1	2- 3- 7- 47-	2- 3- -2 7- -2  2 -6 -4
Curve Equation t Generators 47376bx1 [0,0,0,-1371,15370] 2 [47:234:1] 47376bx2 [0,0,0,-7131,-218486] 2 [-51:112:1]
47376by (2 curves)	1	2- 3- 7- 47-	2- 3- -2 7- -2 -4  6  8
Curve Equation t Generators 47376by1 [0,0,0,-507891,139447474] 2 [311:3402:1] 47376by2 [0,0,0,-8128371,8919764530] 2 [1599:3290:1]
47376bz (2 curves)	1	2- 3- 7- 47-	2- 3- -2 7-  6 -4 -6  2
Curve Equation t Generators 47376bz1 [0,0,0,-3891,-104974] 2 [169:2016:1] 47376bz2 [0,0,0,-64371,-6286030] 2 [295:630:1]
47376ca (1 curve)	1	2- 3- 7- 47-	2- 3- -3 7-  3 -6 -6 -8
Curve Equation t Generators 47376ca1 [0,0,0,35421,-2554526] 1 [255:-4802:1]
47376cb (2 curves)	1	2- 3- 7- 47-	2- 3- -4 7-  2  0 -6  4
Curve Equation t Generators 47376cb1 [0,0,0,933,-4790] 2 [29:-216:1] 47376cb2 [0,0,0,-4107,-40070] 2 [-57:94:1]

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