Cremona's table of elliptic curves

59472 = 2⁴ · 3² · 7 · 59

Class	r	Atkin-Lehner	Eigenvalues
59472a (2 curves)	1	2+ 3+ 7+ 59+	2+ 3+ -2 7+  0  4 -6  0
Curve Equation t Generators 59472a1 [0,0,0,-66,135] 2 [7:4:1] 59472a2 [0,0,0,-951,11286] 2 [21:24:1]
59472b (2 curves)	1	2+ 3+ 7+ 59+	2+ 3+ -2 7+  2 -2 -6  4
Curve Equation t Generators 59472b1 [0,0,0,-13326,383315] 2 [12369:256742:27] 59472b2 [0,0,0,38889,2649446] 2 [-35:1116:1]
59472c (2 curves)	0	2+ 3+ 7+ 59-	2+ 3+  2 7+  0  4  6  0
Curve Equation t 59472c1 [0,0,0,-594,-3645] 2 59472c2 [0,0,0,-8559,-304722] 2
59472d (2 curves)	0	2+ 3+ 7+ 59-	2+ 3+  2 7+ -2 -2  6  4
Curve Equation t 59472d1 [0,0,0,-119934,-10349505] 2 59472d2 [0,0,0,350001,-71535042] 2
59472e (2 curves)	0	2+ 3+ 7- 59+	2+ 3+  2 7-  0  4 -6  0
Curve Equation t 59472e1 [0,0,0,-12879,-485298] 2 59472e2 [0,0,0,-198099,-33936030] 2
59472f (2 curves)	0	2+ 3+ 7- 59+	2+ 3+  2 7-  4 -4  0  4
Curve Equation t 59472f1 [0,0,0,-1675539,801026658] 2 59472f2 [0,0,0,917541,3055450410] 2
59472g (2 curves)	1	2+ 3+ 7- 59-	2+ 3+ -2 7-  0  4  6  0
Curve Equation t Generators 59472g1 [0,0,0,-1431,17974] 2 [6:98:1] 59472g2 [0,0,0,-22011,1256890] 2 [83:42:1]
59472h (2 curves)	1	2+ 3+ 7- 59-	2+ 3+ -2 7- -4 -4  0  4
Curve Equation t Generators 59472h1 [0,0,0,-186171,-29667654] 2 [-221:826:1] 59472h2 [0,0,0,101949,-113164830] 2 [591:12390:1]
59472i (2 curves)	0	2+ 3- 7+ 59+	2+ 3-  0 7+  4  4  6 -4
Curve Equation t 59472i1 [0,0,0,-41835,3284458] 2 59472i2 [0,0,0,-24195,6075106] 2
59472j (1 curve)	0	2+ 3- 7+ 59+	2+ 3-  1 7+  6  6 -4  2
Curve Equation t 59472j1 [0,0,0,-2202987,1258541818] 1
59472k (2 curves)	2	2+ 3- 7+ 59+	2+ 3- -2 7+ -4 -2  0  4
Curve Equation t Generators 59472k1 [0,0,0,-4611,119954] 2 [-59:432:1]&[49:-108:1] 59472k2 [0,0,0,-2091,250490] 2 [7:-486:1]&[47:506:1]
59472l (2 curves)	0	2+ 3- 7+ 59+	2+ 3- -2 7+  6  0 -2  8
Curve Equation t 59472l1 [0,0,0,114,695] 2 59472l2 [0,0,0,-831,7310] 2
59472m (2 curves)	1	2+ 3- 7+ 59-	2+ 3-  0 7+  4  0 -6  4
Curve Equation t Generators 59472m1 [0,0,0,-31297395,67391546434] 2 [-2829:365090:1] 59472m2 [0,0,0,-30433035,71289291418] 2 [2633:97020:1]
59472n (4 curves)	1	2+ 3- 7+ 59-	2+ 3-  2 7+ -4 -2  2 -4
Curve Equation t Generators 59472n1 [0,0,0,-1119,-4898] 2 [-6:40:1] 59472n2 [0,0,0,-9939,377890] 4 [3:590:1] 59472n3 [0,0,0,-2379,938842] 4 [119:1530:1] 59472n4 [0,0,0,-158619,24315370] 2 [255:670:1]
59472o (1 curve)	1	2+ 3- 7+ 59-	2+ 3- -3 7+  2 -6  4 -2
Curve Equation t Generators 59472o1 [0,0,0,141,-1006] 1 [7:18:1]
59472p (4 curves)	1	2+ 3- 7- 59+	2+ 3-  2 7-  4 -2 -2 -4
Curve Equation t Generators 59472p1 [0,0,0,6486,32555] 2 [274945:4248160:1331] 59472p2 [0,0,0,-26319,262190] 4 [857:24640:1] 59472p3 [0,0,0,-264459,-52080982] 2 [115630:2780624:125] 59472p4 [0,0,0,-313059,67302002] 4 [341:448:1]
59472q (4 curves)	1	2+ 3- 7- 59+	2+ 3- -2 7-  4  2 -6 -4
Curve Equation t Generators 59472q1 [0,0,0,-15546,9875] 2 [7383909:-3508120:59319] 59472q2 [0,0,0,-172191,27422750] 4 [10299:112112:27] 59472q3 [0,0,0,-97851,51256154] 2 [48342699548:1230296012379:187149248] 59472q4 [0,0,0,-2752851,1758013346] 4 [1465:29484:1]
59472r (2 curves)	0	2+ 3- 7- 59-	2+ 3-  0 7-  4  0 -8  4
Curve Equation t 59472r1 [0,0,0,-615,5542] 2 59472r2 [0,0,0,-1875,-24446] 2
59472s (1 curve)	0	2+ 3- 7- 59-	2+ 3-  1 7-  0 -2  6  6
Curve Equation t 59472s1 [0,0,0,-5907,-285518] 1
59472t (4 curves)	0	2+ 3- 7- 59-	2+ 3-  2 7-  0  2  6 -4
Curve Equation t 59472t1 [0,0,0,-11154,-453413] 2 59472t2 [0,0,0,-11199,-449570] 4 59472t3 [0,0,0,-579,-1267310] 2 59472t4 [0,0,0,-22539,614122] 2
59472u (2 curves)	2	2+ 3- 7- 59-	2+ 3- -2 7- -2 -4 -2  0
Curve Equation t Generators 59472u1 [0,0,0,-27606,1765195] 2 [47:756:1]&[99:50:1] 59472u2 [0,0,0,-24951,2118310] 2 [-106:1890:1]&[-43:1764:1]
59472v (2 curves)	0	2+ 3- 7- 59-	2+ 3-  4 7-  4  4 -2  4
Curve Equation t 59472v1 [0,0,0,-3603,17890] 2 59472v2 [0,0,0,14037,141370] 2
59472w (2 curves)	1	2- 3+ 7- 59+	2- 3+ -2 7-  4 -4 -6  8
Curve Equation t Generators 59472w1 [0,0,0,-171,26] 2 [-11:24:1] 59472w2 [0,0,0,-1851,-30550] 2 [-25:10:1]
59472x (2 curves)	0	2- 3+ 7- 59-	2- 3+  2 7- -4 -4  6  8
Curve Equation t 59472x1 [0,0,0,-1539,-702] 2 59472x2 [0,0,0,-16659,824850] 2
59472y (4 curves)	1	2- 3- 7+ 59+	2- 3-  0 7+  0 -4  0  4
Curve Equation t Generators 59472y1 [0,0,0,-70635,5611034] 2 [-107:3456:1] 59472y2 [0,0,0,-1058475,419120858] 2 [922:15066:1] 59472y3 [0,0,0,-1869915,-983760118] 2 [1738:31878:1] 59472y4 [0,0,0,-2192475,-621138166] 2 [2347070:-42005682:1331]
59472z (1 curve)	1	2- 3- 7+ 59+	2- 3- -1 7+ -4 -2  6  2
Curve Equation t Generators 59472z1 [0,0,0,-3,57346] 1 [65:576:1]
59472ba (4 curves)	1	2- 3- 7+ 59+	2- 3-  2 7+ -4 -2 -6 -4
Curve Equation t Generators 59472ba1 [0,0,0,-38578179,-91880642558] 2 [-147473804521832047069:-238898412264355135488:39280075655891491] 59472ba2 [0,0,0,-616605699,-5893311649790] 4 [-57469688707535771828903566287219:759112664111855183029414139770:4008294831071222392296232547] 59472ba3 [0,0,0,-615960579,-5906258563070] 2 [842725164859573856357293824258817826633233406371952316142155:84633012575969896990748061813951561077003670151302091487480630:25061219606384001585370109020854731802298117998145173829] 59472ba4 [0,0,0,-9865691139,-377171949199358] 2 [-2905641760865142092525208946309161267174238927989505660443210593355:530992987205330392812137129145688296173136067924298341312714:50668603945306064174095660492032091302415317776588381076594875]
59472bb (1 curve)	1	2- 3- 7+ 59+	2- 3- -3 7+ -2 -2 -4 -6
Curve Equation t Generators 59472bb1 [0,0,0,-19659,-1063046] 1 [167:558:1]
59472bc (2 curves)	0	2- 3- 7+ 59-	2- 3-  2 7+ -2  0  2 -4
Curve Equation t 59472bc1 [0,0,0,-1524,32195] 2 59472bc2 [0,0,0,-27039,1711082] 2
59472bd (2 curves)	0	2- 3- 7+ 59-	2- 3-  2 7+ -4  6  2  4
Curve Equation t 59472bd1 [0,0,0,-15752784,24065814215] 2 59472bd2 [0,0,0,-252047199,1540178039738] 2
59472be (2 curves)	2	2- 3- 7+ 59-	2- 3-  2 7+ -4 -6 -4  4
Curve Equation t Generators 59472be1 [0,0,0,-32259,32258] 2 [-161:1026:1]&[-41:1134:1] 59472be2 [0,0,0,129021,258050] 2 [175:5310:1]&[16127:2048510:1]
59472bf (2 curves)	0	2- 3- 7+ 59-	2- 3- -2 7+  6 -4 -2  4
Curve Equation t 59472bf1 [0,0,0,564,-40745] 2 59472bf2 [0,0,0,-14871,-667406] 2
59472bg (2 curves)	0	2- 3- 7+ 59-	2- 3-  3 7+  0  2 -6 -2
Curve Equation t 59472bg1 [0,0,0,38229,121768922] 1 59472bg2 [0,0,0,-344091,-3289366582] 1
59472bh (2 curves)	2	2- 3- 7+ 59-	2- 3- -4 7+  0  4  0 -4
Curve Equation t Generators 59472bh1 [0,0,0,-867,6050] 2 [1:72:1]&[-25:110:1] 59472bh2 [0,0,0,-5907,-170350] 2 [-49:38:1]&[-41:54:1]
59472bi (2 curves)	0	2- 3- 7- 59+	2- 3-  0 7-  0  0  0 -4
Curve Equation t 59472bi1 [0,0,0,-44355,-3584702] 2 59472bi2 [0,0,0,-64515,-254] 2
59472bj (4 curves)	0	2- 3- 7- 59+	2- 3- -2 7-  4  2 -2 -4
Curve Equation t 59472bj1 [0,0,0,-29091,1844386] 2 59472bj2 [0,0,0,-75171,-5445470] 4 59472bj3 [0,0,0,207069,-36661214] 2 59472bj4 [0,0,0,-1094691,-440780510] 2
59472bk (2 curves)	1	2- 3- 7- 59-	2- 3-  0 7-  0  4 -4  4
Curve Equation t Generators 59472bk1 [0,0,0,-90795,-8690726] 2 [-5955:21014:27] 59472bk2 [0,0,0,-1381035,-624651302] 2 [-125945889:26188658:185193]
59472bl (2 curves)	1	2- 3- 7- 59-	2- 3-  2 7-  0  2 -6  4
Curve Equation t Generators 59472bl1 [0,0,0,-264,6095] 2 [5:70:1] 59472bl2 [0,0,0,-6879,219098] 2 [418:385:8]
59472bm (1 curve)	1	2- 3- 7- 59-	2- 3-  3 7-  6 -2 -4 -2
Curve Equation t Generators 59472bm1 [0,0,0,2949,-99542] 1 [47:378:1]

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

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