Cremona's table of elliptic curves

47502 = 2 · 3² · 7 · 13 · 29

Class	r	Atkin-Lehner	Eigenvalues
47502a (1 curve)	1	2+ 3+ 7+ 13+ 29+	2+ 3+  1 7+ -3 13+ -4  7
Curve Equation t Generators 47502a1 [1,-1,0,-609,5597] 1 [7:37:1]
47502b (1 curve)	0	2+ 3+ 7+ 13- 29+	2+ 3+  1 7+  1 13-  8  5
Curve Equation t 47502b1 [1,-1,0,-39249,3002717] 1
47502c (2 curves)	1	2+ 3+ 7+ 13- 29-	2+ 3+  0 7+ -4 13- -6 -2
Curve Equation t Generators 47502c1 [1,-1,0,63,137] 2 [4:-23:1] 47502c2 [1,-1,0,-327,1463] 2 [-17:52:1]
47502d (1 curve)	1	2+ 3+ 7+ 13- 29-	2+ 3+ -1 7+ -3 13-  4  3
Curve Equation t Generators 47502d1 [1,-1,0,-390,-2366] 1 [-13:26:1]
47502e (1 curve)	1	2+ 3+ 7- 13+ 29-	2+ 3+  2 7- -5 13+  7 -2
Curve Equation t Generators 47502e1 [1,-1,0,-141,709] 1 [5:-13:1]
47502f (2 curves)	0	2+ 3+ 7- 13- 29-	2+ 3+ -3 7- -3 13-  0 -1
Curve Equation t 47502f1 [1,-1,0,-214131,38192373] 3 47502f2 [1,-1,0,-271986,15988436] 1
47502g (1 curve)	0	2+ 3- 7+ 13+ 29+	2+ 3-  0 7+ -1 13+ -1 -2
Curve Equation t 47502g1 [1,-1,0,-3322107,-2330529467] 1
47502h (1 curve)	0	2+ 3- 7+ 13+ 29+	2+ 3-  3 7+ -1 13+ -4 -5
Curve Equation t 47502h1 [1,-1,0,-68643,6616147] 1
47502i (2 curves)	1	2+ 3- 7+ 13+ 29-	2+ 3-  0 7+ -4 13+  2 -2
Curve Equation t Generators 47502i1 [1,-1,0,-16857,3683245] 2 [-46:2111:1] 47502i2 [1,-1,0,-475497,125956669] 2 [-250:15263:1]
47502j (6 curves)	1	2+ 3- 7+ 13- 29+	2+ 3-  2 7+  4 13- -2  4
Curve Equation t Generators 47502j1 [1,-1,0,31934394,-451203914700] 2 [30753353540566527965492154506888700:4000921009528129436846721806883249410:1835205671717497168656171010281] 47502j2 [1,-1,0,-723040326,-7109627960268] 4 [47114844501385428:11346511999225055126:672912250947] 47502j3 [1,-1,0,-2118158406,28587258352692] 4 [15045435892812:7732289636262074:55306341] 47502j4 [1,-1,0,-11407517766,-468954712886220] 2 [35559752863590289888213056045:-1921748030974056382521573529165:285363617346003047548059] 47502j5 [1,-1,0,5038085754,180186565886964] 2 [-24144392251941:75854562333699513:5998805513] 47502j6 [1,-1,0,-31596291846,2161571933430900] 2 [29367516:30227627614:27]
47502k (1 curve)	1	2+ 3- 7+ 13- 29+	2+ 3- -2 7+  1 13-  4  6
Curve Equation t Generators 47502k1 [1,-1,0,-66393,6601819] 1 [9:2446:1]
47502l (4 curves)	1	2+ 3- 7+ 13- 29+	2+ 3- -2 7+  4 13- -2  0
Curve Equation t Generators 47502l1 [1,-1,0,-918,-687884] 2 [209:2762:1] 47502l2 [1,-1,0,-122598,-16287260] 4 [-184:218:1] 47502l3 [1,-1,0,-237258,19096816] 2 [-190:7664:1] 47502l4 [1,-1,0,-1954818,-1051491560] 2 [-276871:141023:343]
47502m (1 curve)	0	2+ 3- 7+ 13- 29-	2+ 3-  2 7+ -3 13-  4  6
Curve Equation t 47502m1 [1,-1,0,23184,580864] 1
47502n (1 curve)	0	2+ 3- 7+ 13- 29-	2+ 3-  4 7+  3 13-  5 -2
Curve Equation t 47502n1 [1,-1,0,1890,-44852] 1
47502o (2 curves)	1	2+ 3- 7- 13+ 29+	2+ 3- -2 7-  4 13+  6  2
Curve Equation t Generators 47502o1 [1,-1,0,831672,40032576] 2 [69:9852:1] 47502o2 [1,-1,0,-3361608,324336960] 2 [7237:592191:1]
47502p (4 curves)	1	2+ 3- 7- 13+ 29+	2+ 3- -2 7- -4 13+  2 -4
Curve Equation t Generators 47502p1 [1,-1,0,-1233,42205] 2 [18:151:1] 47502p2 [1,-1,0,-27153,1727005] 4 [42:791:1] 47502p3 [1,-1,0,-34713,694309] 2 [15:413:1] 47502p4 [1,-1,0,-434313,110275861] 2 [383:-115:1]
47502q (1 curve)	0	2+ 3- 7- 13+ 29-	2+ 3-  2 7- -2 13+  1  7
Curve Equation t 47502q1 [1,-1,0,-5796,-3997616] 1
47502r (2 curves)	0	2+ 3- 7- 13+ 29-	2+ 3-  2 7-  4 13+  4 -2
Curve Equation t 47502r1 [1,-1,0,-126,-5180] 2 47502r2 [1,-1,0,-5346,-148208] 2
47502s (1 curve)	0	2+ 3- 7- 13+ 29-	2+ 3-  4 7- -5 13+  3  2
Curve Equation t 47502s1 [1,-1,0,-23775165,-73023080877] 1
47502t (6 curves)	0	2+ 3- 7- 13- 29+	2+ 3-  2 7-  4 13- -2  4
Curve Equation t 47502t1 [1,-1,0,-31221,-2115531] 2 47502t2 [1,-1,0,-31941,-2012283] 4 47502t3 [1,-1,0,35919,-9463311] 2 47502t4 [1,-1,0,-111321,12037977] 4 47502t5 [1,-1,0,208089,68190255] 2 47502t6 [1,-1,0,-1700811,854149779] 2
47502u (2 curves)	0	2+ 3- 7- 13- 29+	2+ 3- -3 7-  3 13- -6  5
Curve Equation t 47502u1 [1,-1,0,-420831,104168781] 1 47502u2 [1,-1,0,-33995871,76301970381] 3
47502v (2 curves)	1	2+ 3- 7- 13- 29-	2+ 3-  0 7-  0 13- -3 -1
Curve Equation t Generators 47502v1 [1,-1,0,63,-1323] 1 [21:84:1] 47502v2 [1,-1,0,-567,36099] 3 [15:168:1]
47502w (2 curves)	1	2+ 3- 7- 13- 29-	2+ 3- -1 7-  3 13-  2 -5
Curve Equation t Generators 47502w1 [1,-1,0,-309330,44913204] 1 [105:-3738:1] 47502w2 [1,-1,0,-175419720,894307827294] 1 [7647:-3819:1]
47502x (2 curves)	1	2+ 3- 7- 13- 29-	2+ 3-  3 7-  3 13-  0 -1
Curve Equation t Generators 47502x1 [1,-1,0,-2808,-15552] 1 [-9:99:1] 47502x2 [1,-1,0,-131328,18350712] 3 [-2034:48519:8]
47502y (1 curve)	1	2- 3+ 7+ 13+ 29-	2- 3+ -1 7+  3 13+  4  7
Curve Equation t Generators 47502y1 [1,-1,1,-68,-185] 1 [-5:5:1]
47502z (2 curves)	1	2- 3+ 7+ 13- 29+	2- 3+  0 7+  4 13-  6 -2
Curve Equation t Generators 47502z1 [1,-1,1,565,-4265] 2 [871:25268:1] 47502z2 [1,-1,1,-2945,-36557] 2 [55796:1615579:64]
47502ba (1 curve)	1	2- 3+ 7+ 13- 29+	2- 3+  1 7+  3 13- -4  3
Curve Equation t Generators 47502ba1 [1,-1,1,-3512,67393] 1 [86:1357:8]
47502bb (1 curve)	0	2- 3+ 7+ 13- 29-	2- 3+ -1 7+ -1 13- -8  5
Curve Equation t 47502bb1 [1,-1,1,-353243,-80720117] 1
47502bc (1 curve)	1	2- 3+ 7- 13+ 29+	2- 3+ -2 7-  5 13+ -7 -2
Curve Equation t Generators 47502bc1 [1,-1,1,-1271,-17873] 1 [49:164:1]
47502bd (2 curves)	0	2- 3+ 7- 13- 29+	2- 3+  3 7-  3 13-  0 -1
Curve Equation t 47502bd1 [1,-1,1,-30221,-582091] 3 47502bd2 [1,-1,1,-1927181,-1029266891] 1
47502be (1 curve)	1	2- 3- 7+ 13+ 29+	2- 3- -1 7+ -3 13+  0  1
Curve Equation t Generators 47502be1 [1,-1,1,-284783,-37846825] 1 [-153:1534:1]
47502bf (1 curve)	1	2- 3- 7+ 13+ 29+	2- 3-  2 7+  3 13+  0 -2
Curve Equation t Generators 47502bf1 [1,-1,1,-43124,3611351] 1 [133:397:1]
47502bg (1 curve)	0	2- 3- 7+ 13- 29+	2- 3- -1 7+  1 13-  4  7
Curve Equation t 47502bg1 [1,-1,1,-499298,134256953] 1
47502bh (1 curve)	0	2- 3- 7+ 13- 29+	2- 3- -2 7+ -2 13-  1 -5
Curve Equation t 47502bh1 [1,-1,1,-58496,-5450205] 1
47502bi (4 curves)	1	2- 3- 7+ 13- 29-	2- 3-  2 7+  4 13- -6  0
Curve Equation t Generators 47502bi1 [1,-1,1,32296,7940315] 4 [-95:2049:1] 47502bi2 [1,-1,1,-454424,108399323] 4 [-249:14479:1] 47502bi3 [1,-1,1,-1591664,-650367205] 2 [243995:-7702017:125] 47502bi4 [1,-1,1,-7104704,7290701723] 2 [2299:54565:1]
47502bj (1 curve)	0	2- 3- 7- 13+ 29+	2- 3-  1 7-  5 13+  2  5
Curve Equation t 47502bj1 [1,-1,1,-842,-9183] 1
47502bk (2 curves)	0	2- 3- 7- 13+ 29+	2- 3-  4 7-  4 13+  6 -6
Curve Equation t 47502bk1 [1,-1,1,-6323,-337021] 2 47502bk2 [1,-1,1,-120983,-16160101] 2
47502bl (2 curves)	0	2- 3- 7- 13+ 29+	2- 3- -4 7-  0 13+  2  0
Curve Equation t 47502bl1 [1,-1,1,-143542922,820980609225] 2 47502bl2 [1,-1,1,-2446701962,46580144415945] 2
47502bm (1 curve)	1	2- 3- 7- 13+ 29-	2- 3-  4 7- -4 13+ -5 -1
Curve Equation t Generators 47502bm1 [1,-1,1,-9833,-374871] 1 [119:300:1]
47502bn (3 curves)	1	2- 3- 7- 13- 29+	2- 3-  0 7-  0 13-  3 -7
Curve Equation t Generators 47502bn1 [1,-1,1,4320535,-316222711] 1 [651:52324:1] 47502bn2 [1,-1,1,-56042240,176029563683] 3 [5181:154657:1] 47502bn3 [1,-1,1,-4651979495,122126226227615] 3 [9315:8917294:1]
47502bo (1 curve)	1	2- 3- 7- 13- 29+	2- 3-  0 7- -3 13-  3  6
Curve Equation t Generators 47502bo1 [1,-1,1,-617405,187421829] 1 [173:-9348:1]
47502bp (1 curve)	1	2- 3- 7- 13- 29+	2- 3- -3 7-  1 13- -2  3
Curve Equation t Generators 47502bp1 [1,-1,1,-509,-21] 1 [-98:567:8]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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