Cremona's table of elliptic curves

47880 = 2³ · 3² · 5 · 7 · 19

Class	r	Atkin-Lehner	Eigenvalues
47880a (2 curves)	1	2+ 3+ 5+ 7+ 19+	2+ 3+ 5+ 7+  0  4 -2 19+
Curve Equation t Generators 47880a1 [0,0,0,-4023,-96822] 2 [79:280:1] 47880a2 [0,0,0,-243,-271458] 2 [2118:97470:1]
47880b (2 curves)	0	2+ 3+ 5+ 7+ 19-	2+ 3+ 5+ 7+ -2 -2  2 19-
Curve Equation t 47880b1 [0,0,0,837,8262] 2 47880b2 [0,0,0,-4563,76302] 2
47880c (1 curve)	0	2+ 3+ 5+ 7+ 19-	2+ 3+ 5+ 7+ -2 -2 -4 19-
Curve Equation t 47880c1 [0,0,0,-557361108,-5064720949692] 1
47880d (1 curve)	0	2+ 3+ 5+ 7+ 19-	2+ 3+ 5+ 7+  5  5 -4 19-
Curve Equation t 47880d1 [0,0,0,-4563,118862] 1
47880e (2 curves)	0	2+ 3+ 5+ 7- 19+	2+ 3+ 5+ 7-  0  6  6 19+
Curve Equation t 47880e1 [0,0,0,837,63558] 2 47880e2 [0,0,0,-19683,1011582] 2
47880f (2 curves)	0	2+ 3+ 5- 7+ 19+	2+ 3+ 5- 7+  4  0  2 19+
Curve Equation t 47880f1 [0,0,0,-171447,27323914] 2 47880f2 [0,0,0,-171027,27464446] 2
47880g (1 curve)	1	2+ 3+ 5- 7- 19+	2+ 3+ 5- 7-  2 -6  0 19+
Curve Equation t Generators 47880g1 [0,0,0,4428,1736964] 1 [18:-1350:1]
47880h (1 curve)	1	2+ 3+ 5- 7- 19+	2+ 3+ 5- 7- -3 -1  0 19+
Curve Equation t Generators 47880h1 [0,0,0,-29427,5274414] 1 [150:2058:1]
47880i (2 curves)	1	2+ 3+ 5- 7- 19+	2+ 3+ 5- 7-  6  2 -6 19+
Curve Equation t Generators 47880i1 [0,0,0,-1902,-5679] 2 [-8:95:1] 47880i2 [0,0,0,7473,-45054] 2 [27:420:1]
47880j (2 curves)	0	2+ 3- 5+ 7+ 19+	2+ 3- 5+ 7+  6  2  4 19+
Curve Equation t 47880j1 [0,0,0,-1669913643,-26265709270442] 2 47880j2 [0,0,0,-1669790163,-26269787839538] 2
47880k (1 curve)	1	2+ 3- 5+ 7+ 19-	2+ 3- 5+ 7+  4  4 -8 19-
Curve Equation t Generators 47880k1 [0,0,0,-4660428,-3878150092] 1 [2578:35226:1]
47880l (2 curves)	1	2+ 3- 5+ 7+ 19-	2+ 3- 5+ 7+ -4 -4  2 19-
Curve Equation t Generators 47880l1 [0,0,0,-678,6617] 2 [4:63:1] 47880l2 [0,0,0,177,22178] 2 [19:180:1]
47880m (6 curves)	1	2+ 3- 5+ 7- 19+	2+ 3- 5+ 7- -4  6 -2 19+
Curve Equation t Generators 47880m1 [0,0,0,5622,-799423] 2 [136:1575:1] 47880m2 [0,0,0,-102423,-11841622] 4 [-158:630:1] 47880m3 [0,0,0,-322923,56381078] 4 [542:6370:1] 47880m4 [0,0,0,-1610643,-786765058] 2 [25378:1290625:8] 47880m5 [0,0,0,697677,340720238] 2 [-18214:5975710:343] 47880m6 [0,0,0,-4871523,4138294718] 2 [2880254:-4897690:2197]
47880n (4 curves)	0	2+ 3- 5+ 7- 19-	2+ 3- 5+ 7-  4  2 -2 19-
Curve Equation t 47880n1 [0,0,0,-19458,-1034343] 2 47880n2 [0,0,0,-35703,944298] 4 47880n3 [0,0,0,131877,7278822] 2 47880n4 [0,0,0,-463203,121242798] 2
47880o (4 curves)	1	2+ 3- 5- 7+ 19+	2+ 3- 5- 7+  4 -2 -6 19+
Curve Equation t Generators 47880o1 [0,0,0,-12162,-467759] 2 [-63:220:1] 47880o2 [0,0,0,-44967,3160474] 4 [-157:2520:1] 47880o3 [0,0,0,76533,17278774] 2 [1278:46930:1] 47880o4 [0,0,0,-691347,221249086] 4 [-25:15444:1]
47880p (1 curve)	0	2+ 3- 5- 7- 19+	2+ 3- 5- 7- -3  5 -8 19+
Curve Equation t 47880p1 [0,0,0,-8533587,9606130126] 1
47880q (1 curve)	1	2+ 3- 5- 7- 19-	2+ 3- 5- 7-  1  5 -5 19-
Curve Equation t Generators 47880q1 [0,0,0,828,7236] 1 [22:-190:1]
47880r (2 curves)	0	2- 3+ 5+ 7+ 19+	2- 3+ 5+ 7+ -4  0 -2 19+
Curve Equation t 47880r1 [0,0,0,-1543023,-737745678] 2 47880r2 [0,0,0,-1539243,-741540042] 2
47880s (1 curve)	1	2- 3+ 5+ 7- 19+	2- 3+ 5+ 7- -2 -6  0 19+
Curve Equation t Generators 47880s1 [0,0,0,492,-64332] 1 [36:6:1]
47880t (1 curve)	1	2- 3+ 5+ 7- 19+	2- 3+ 5+ 7-  3 -1  0 19+
Curve Equation t Generators 47880t1 [0,0,0,-264843,-142409178] 1 [11898:1296540:1]
47880u (2 curves)	1	2- 3+ 5+ 7- 19+	2- 3+ 5+ 7- -6  2  6 19+
Curve Equation t Generators 47880u1 [0,0,0,-17118,153333] 2 [-18:675:1] 47880u2 [0,0,0,67257,1216458] 2 [9:1350:1]
47880v (2 curves)	1	2- 3+ 5- 7+ 19+	2- 3+ 5- 7+  0  4  2 19+
Curve Equation t Generators 47880v1 [0,0,0,-447,3586] 2 [17:-30:1] 47880v2 [0,0,0,-27,10054] 2 [3:-100:1]
47880w (2 curves)	0	2- 3+ 5- 7+ 19-	2- 3+ 5- 7+  2 -2 -2 19-
Curve Equation t 47880w1 [0,0,0,93,-306] 2 47880w2 [0,0,0,-507,-2826] 2
47880x (1 curve)	0	2- 3+ 5- 7+ 19-	2- 3+ 5- 7+  2 -2  4 19-
Curve Equation t 47880x1 [0,0,0,-61929012,187582257396] 1
47880y (1 curve)	0	2- 3+ 5- 7+ 19-	2- 3+ 5- 7+ -5  5  4 19-
Curve Equation t 47880y1 [0,0,0,-41067,-3209274] 1
47880z (2 curves)	0	2- 3+ 5- 7- 19+	2- 3+ 5- 7-  0  6 -6 19+
Curve Equation t 47880z1 [0,0,0,93,-2354] 2 47880z2 [0,0,0,-2187,-37466] 2
47880ba (2 curves)	1	2- 3- 5+ 7+ 19+	2- 3- 5+ 7+ -2 -6  0 19+
Curve Equation t Generators 47880ba1 [0,0,0,-30243,1220942] 2 [-29:1440:1] 47880ba2 [0,0,0,93237,8654438] 2 [314:8300:1]
47880bb (2 curves)	1	2- 3- 5+ 7+ 19+	2- 3- 5+ 7+ -4  4 -6 19+
Curve Equation t Generators 47880bb1 [0,0,0,-678,8773] 2 [14:-45:1] 47880bb2 [0,0,0,-11703,487258] 2 [53:126:1]
47880bc (2 curves)	0	2- 3- 5+ 7+ 19-	2- 3- 5+ 7+ -2  2  0 19-
Curve Equation t 47880bc1 [0,0,0,-98643,-11617058] 2 47880bc2 [0,0,0,24837,-38757962] 2
47880bd (4 curves)	0	2- 3- 5+ 7+ 19-	2- 3- 5+ 7+  4  2  6 19-
Curve Equation t 47880bd1 [0,0,0,897,898] 2 47880bd2 [0,0,0,-3603,7198] 4 47880bd3 [0,0,0,-37803,-2817722] 2 47880bd4 [0,0,0,-41403,3235318] 2
47880be (4 curves)	2	2- 3- 5+ 7+ 19-	2- 3- 5+ 7+ -4  2 -2 19-
Curve Equation t Generators 47880be1 [0,0,0,-89778,10353877] 2 [1378:135:8]&[26:2835:1] 47880be2 [0,0,0,-89823,10342978] 4 [-171:4550:1]&[-157:4536:1] 47880be3 [0,0,0,-59043,17539342] 2 [-138:4802:1]&[107:3528:1] 47880be4 [0,0,0,-121323,2449078] 2 [-301:3420:1]&[-189:4316:1]
47880bf (1 curve)	0	2- 3- 5+ 7- 19+	2- 3- 5+ 7-  1  3  3 19+
Curve Equation t 47880bf1 [0,0,0,-2043,36342] 1
47880bg (4 curves)	0	2- 3- 5+ 7- 19+	2- 3- 5+ 7- -4 -2 -2 19+
Curve Equation t 47880bg1 [0,0,0,-8803098,-10132499547] 2 47880bg2 [0,0,0,-141158223,-645516512622] 4 47880bg3 [0,0,0,-141466923,-642551325642] 2 47880bg4 [0,0,0,-2258531523,-41313058536402] 2
47880bh (4 curves)	2	2- 3- 5+ 7- 19+	2- 3- 5+ 7- -4 -2 -6 19+
Curve Equation t Generators 47880bh1 [0,0,0,-4863,124738] 4 [-79:126:1]&[-51:490:1] 47880bh2 [0,0,0,-13683,-455618] 4 [-93:112:1]&[-69:400:1] 47880bh3 [0,0,0,34197,-2935802] 2 [78:454:1]&[398:8586:1] 47880bh4 [0,0,0,-202683,-35118218] 2 [-258:22:1]&[522:1148:1]
47880bi (1 curve)	1	2- 3- 5+ 7- 19-	2- 3- 5+ 7- -5 -1  0 19-
Curve Equation t Generators 47880bi1 [0,0,0,3957,69158] 1 [106:1296:1]
47880bj (4 curves)	0	2- 3- 5- 7+ 19+	2- 3- 5- 7+  0 -2  2 19+
Curve Equation t 47880bj1 [0,0,0,-1376562,-324571259] 4 47880bj2 [0,0,0,-18954687,-31750743134] 4 47880bj3 [0,0,0,-15917187,-42267175634] 2 47880bj4 [0,0,0,-303242187,-2032509310634] 2
47880bk (1 curve)	0	2- 3- 5- 7+ 19+	2- 3- 5- 7+  3  1  5 19+
Curve Equation t 47880bk1 [0,0,0,26853,761686] 1
47880bl (1 curve)	0	2- 3- 5- 7+ 19+	2- 3- 5- 7+ -3 -3 -1 19+
Curve Equation t 47880bl1 [0,0,0,9573,-1778474] 1
47880bm (1 curve)	1	2- 3- 5- 7- 19+	2- 3- 5- 7-  0  4 -4 19+
Curve Equation t Generators 47880bm1 [0,0,0,-1452,21796] 1 [32:90:1]
47880bn (4 curves)	1	2- 3- 5- 7- 19+	2- 3- 5- 7-  0 -6  6 19+
Curve Equation t Generators 47880bn1 [0,0,0,-97225887,-43948007966] 4 [-7071:538510:1] 47880bn2 [0,0,0,-1134890067,-14686012186274] 4 [1346386:540295875:8] 47880bn3 [0,0,0,-724319067,-25453729346474] 2 [167859210:-67695521719:1000] 47880bn4 [0,0,0,-18148087947,-941010402437786] 2 [6024410767642:1666043368959375:30959144]
47880bo (4 curves)	1	2- 3- 5- 7- 19+	2- 3- 5- 7-  4 -6 -6 19+
Curve Equation t Generators 47880bo1 [0,0,0,-49887,-4288734] 2 [447:7920:1] 47880bo2 [0,0,0,-50067,-4256226] 4 [-122:190:1] 47880bo3 [0,0,0,-5067,-11627226] 2 [1678:68590:1] 47880bo4 [0,0,0,-97947,5195286] 2 [382:4850:1]
47880bp (4 curves)	0	2- 3- 5- 7- 19-	2- 3- 5- 7- -4  6 -6 19-
Curve Equation t 47880bp1 [0,0,0,-2127,-206894] 4 47880bp2 [0,0,0,-67107,-6665906] 4 47880bp3 [0,0,0,-101307,851254] 2 47880bp4 [0,0,0,-1072587,-427559834] 2

Data from Elliptic Curve Data by J. E. Cremona.
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Part of Computational Number Theory
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