Cremona's table of elliptic curves

42048 = 2⁶ · 3² · 73

Class	r	Atkin-Lehner	Eigenvalues
42048a (2 curves)	0	2+ 3- 73+	2+ 3-  0  0 -2  6  0  4
Curve Equation t 42048a1 [0,0,0,2040,31304] 2 42048a2 [0,0,0,-11100,288848] 2
42048b (2 curves)	2	2+ 3- 73+	2+ 3-  0 -2  0 -2  0 -4
Curve Equation t Generators 42048b1 [0,0,0,-1020,11792] 2 [-32:108:1]&[-26:144:1] 42048b2 [0,0,0,-3180,-54736] 2 [-40:92:1]&[-35:117:1]
42048c (2 curves)	0	2+ 3- 73+	2+ 3-  0 -2  4  6  0  4
Curve Equation t 42048c1 [0,0,0,-3180,10672] 2 42048c2 [0,0,0,-37740,2816944] 2
42048d (2 curves)	0	2+ 3- 73+	2+ 3-  0 -4  2 -2  8  4
Curve Equation t 42048d1 [0,0,0,-840,-10744] 2 42048d2 [0,0,0,-13980,-636208] 2
42048e (1 curve)	0	2+ 3- 73+	2+ 3- -1  2 -4  2  3  1
Curve Equation t 42048e1 [0,0,0,-228,-1334] 1
42048f (1 curve)	0	2+ 3- 73+	2+ 3- -1 -2 -4  2 -1  7
Curve Equation t 42048f1 [0,0,0,-2208,-45664] 1
42048g (2 curves)	0	2+ 3- 73+	2+ 3-  2  2 -2  4 -4 -4
Curve Equation t 42048g1 [0,0,0,-1164,-12688] 2 42048g2 [0,0,0,-5484,144560] 2
42048h (2 curves)	0	2+ 3- 73+	2+ 3-  2  2 -6  0  8  4
Curve Equation t 42048h1 [0,0,0,-1524,12512] 2 42048h2 [0,0,0,-11244,-450160] 2
42048i (2 curves)	0	2+ 3- 73+	2+ 3-  2 -2  2 -4 -4  4
Curve Equation t 42048i1 [0,0,0,-74604,7533488] 2 42048i2 [0,0,0,-1180524,493695920] 2
42048j (2 curves)	0	2+ 3- 73+	2+ 3-  2 -2  6  0  8 -4
Curve Equation t 42048j1 [0,0,0,-1524,-12512] 2 42048j2 [0,0,0,-11244,450160] 2
42048k (1 curve)	0	2+ 3- 73+	2+ 3- -3  2 -4 -2  5 -5
Curve Equation t 42048k1 [0,0,0,12336,-281824] 1
42048l (2 curves)	0	2+ 3- 73+	2+ 3-  4  0 -2  2 -8  4
Curve Equation t 42048l1 [0,0,0,-4563228,3745082320] 2 42048l2 [0,0,0,-2988588,6368432560] 2
42048m (2 curves)	0	2+ 3- 73+	2+ 3-  4  2  0 -6  4  4
Curve Equation t 42048m1 [0,0,0,-543,-2860] 2 42048m2 [0,0,0,-3828,89120] 2
42048n (2 curves)	0	2+ 3- 73+	2+ 3-  4 -2  0 -6  4 -4
Curve Equation t 42048n1 [0,0,0,-543,2860] 2 42048n2 [0,0,0,-3828,-89120] 2
42048o (2 curves)	0	2+ 3- 73+	2+ 3- -4  2 -4  2  0  4
Curve Equation t 42048o1 [0,0,0,-47532,3742000] 2 42048o2 [0,0,0,-747372,248686000] 2
42048p (2 curves)	2	2+ 3- 73+	2+ 3- -4 -4 -6  2  0  4
Curve Equation t Generators 42048p1 [0,0,0,-732,-6320] 2 [-19:27:1]&[-18:32:1] 42048p2 [0,0,0,1428,-36560] 2 [29:171:1]&[36:248:1]
42048q (4 curves)	1	2+ 3- 73-	2+ 3-  0  2  0  4 -6  4
Curve Equation t Generators 42048q1 [0,0,0,-540300,131132144] 2 [91000:871884:343] 42048q2 [0,0,0,934260,721545968] 2 [10939196632:1321075484604:753571] 42048q3 [0,0,0,-42012300,104812432112] 2 [2728:102492:1] 42048q4 [0,0,0,-41989260,104933134064] 2 [4853:124319:1]
42048r (2 curves)	1	2+ 3- 73-	2+ 3-  0  2  0 -4  6  4
Curve Equation t Generators 42048r1 [0,0,0,-660,1312] 2 [-22:72:1] 42048r2 [0,0,0,2580,10384] 2 [5:153:1]
42048s (2 curves)	1	2+ 3- 73-	2+ 3-  0 -2  0 -4  6 -4
Curve Equation t Generators 42048s1 [0,0,0,-660,-1312] 2 [-14:72:1] 42048s2 [0,0,0,2580,-10384] 2 [40:396:1]
42048t (2 curves)	1	2+ 3- 73-	2+ 3-  0 -2  4 -4  2 -4
Curve Equation t Generators 42048t1 [0,0,0,-7500,247664] 2 [40:108:1] 42048t2 [0,0,0,-1740,618608] 2 [-19:803:1]
42048u (2 curves)	1	2+ 3- 73-	2+ 3-  0  4  2 -4 -2  0
Curve Equation t Generators 42048u1 [0,0,0,-1740,11248] 2 [-43:81:1] 42048u2 [0,0,0,-14700,-678224] 2 [-75:49:1]
42048v (4 curves)	1	2+ 3- 73-	2+ 3-  0 -4 -6  4  6 -8
Curve Equation t Generators 42048v1 [0,0,0,-1120620,-455395408] 2 [-3030811:-5255361:4913] 42048v2 [0,0,0,-17916780,-29190265936] 2 [-8752162275:-25273241:3581577] 42048v3 [0,0,0,-5552940,4659688496] 2 [925:17739:1] 42048v4 [0,0,0,-18823980,-26070731728] 2 [20344:2830356:1]
42048w (1 curve)	1	2+ 3- 73-	2+ 3-  1 -4  0 -4 -3  7
Curve Equation t Generators 42048w1 [0,0,0,-1759872,-898607072] 1 [148680003902027522028737:-1218456867277999776181257:95181647887721770129]
42048x (1 curve)	1	2+ 3- 73-	2+ 3- -1  0  0  0  3 -1
Curve Equation t Generators 42048x1 [0,0,0,-48,2464] 1 [17:81:1]
42048y (4 curves)	1	2+ 3- 73-	2+ 3-  2  0  0  6  6 -4
Curve Equation t Generators 42048y1 [0,0,0,-71004,-7282352] 2 [47020:548208:125] 42048y2 [0,0,0,-71724,-7127120] 4 [4885282460:56887439184:12977875] 42048y3 [0,0,0,33396,-26258960] 2 [2517863871831660:-147252507156397565:737783038656] 42048y4 [0,0,0,-188364,21939568] 2 [270036:1260856:729]
42048z (2 curves)	1	2+ 3- 73-	2+ 3-  2  2 -2  6 -2 -8
Curve Equation t Generators 42048z1 [0,0,0,-684,3888] 2 [-26:64:1] 42048z2 [0,0,0,2196,28080] 2 [-8:100:1]
42048ba (4 curves)	1	2+ 3- 73-	2+ 3-  2  4 -4 -2 -2  4
Curve Equation t Generators 42048ba1 [0,0,0,-4764,52688] 2 [76:360:1] 42048ba2 [0,0,0,-63084,6094640] 4 [4834:109865:8] 42048ba3 [0,0,0,-50124,8671088] 2 [-211:3139:1] 42048ba4 [0,0,0,-1009164,390203120] 2 [2238670:-28767215:2744]
42048bb (4 curves)	1	2+ 3- 73-	2+ 3- -2 -4  0  2  6  4
Curve Equation t Generators 42048bb1 [0,0,0,-10956,-347024] 2 [-76:216:1] 42048bb2 [0,0,0,-57036,4942960] 4 [1460:55080:1] 42048bb3 [0,0,0,46644,20909680] 2 [72:4964:1] 42048bb4 [0,0,0,-897996,327535216] 2 [398:5760:1]
42048bc (2 curves)	1	2+ 3- 73-	2+ 3- -3 -4  0  4 -3  1
Curve Equation t Generators 42048bc1 [0,0,0,96,-286] 1 [7:27:1] 42048bc2 [0,0,0,-984,16346] 1 [79:657:1]
42048bd (2 curves)	1	2+ 3- 73-	2+ 3-  4 -2  0  0  2 -4
Curve Equation t Generators 42048bd1 [0,0,0,-7788,-264400] 2 [1150:38880:1] 42048bd2 [0,0,0,-6348,-365200] 2 [89325:608455:729]
42048be (2 curves)	1	2+ 3- 73-	2+ 3- -4  0  2  0  6  8
Curve Equation t Generators 42048be1 [0,0,0,-4332,-39760] 2 [-58:128:1] 42048be2 [0,0,0,-56172,-5120080] 2 [-139:47:1]
42048bf (1 curve)	1	2- 3+ 73-	2- 3+  3  2  4 -6  3 -5
Curve Equation t Generators 42048bf1 [0,0,0,-6,-18] 1 [33:189:1]
42048bg (1 curve)	1	2- 3+ 73-	2- 3+  3 -2 -4 -6  3  5
Curve Equation t Generators 42048bg1 [0,0,0,-6,18] 1 [-3:3:1]
42048bh (1 curve)	1	2- 3+ 73-	2- 3+ -3  2 -4 -6 -3 -5
Curve Equation t Generators 42048bh1 [0,0,0,-54,486] 1 [9:27:1]
42048bi (1 curve)	1	2- 3+ 73-	2- 3+ -3 -2  4 -6 -3  5
Curve Equation t Generators 42048bi1 [0,0,0,-54,-486] 1 [45:297:1]
42048bj (2 curves)	1	2- 3- 73+	2- 3-  0  0  2  6  0 -4
Curve Equation t Generators 42048bj1 [0,0,0,2040,-31304] 2 [3030:22496:125] 42048bj2 [0,0,0,-11100,-288848] 2 [-78:320:1]
42048bk (2 curves)	1	2- 3- 73+	2- 3-  0  2  0 -2  0  4
Curve Equation t Generators 42048bk1 [0,0,0,-1020,-11792] 2 [-19:27:1] 42048bk2 [0,0,0,-3180,54736] 2 [50:144:1]
42048bl (2 curves)	1	2- 3- 73+	2- 3-  0  2 -4  6  0 -4
Curve Equation t Generators 42048bl1 [0,0,0,-3180,-10672] 2 [76:432:1] 42048bl2 [0,0,0,-37740,-2816944] 2 [460:8784:1]
42048bm (2 curves)	1	2- 3- 73+	2- 3-  0  4 -2 -2  8 -4
Curve Equation t Generators 42048bm1 [0,0,0,-840,10744] 2 [30:112:1] 42048bm2 [0,0,0,-13980,636208] 2 [66:32:1]
42048bn (1 curve)	1	2- 3- 73+	2- 3- -1  2  4  2 -1 -7
Curve Equation t Generators 42048bn1 [0,0,0,-2208,45664] 1 [-55:27:1]
42048bo (1 curve)	1	2- 3- 73+	2- 3- -1 -2  4  2  3 -1
Curve Equation t Generators 42048bo1 [0,0,0,-228,1334] 1 [7:9:1]
42048bp (2 curves)	1	2- 3- 73+	2- 3-  2  0  4 -4  4  0
Curve Equation t Generators 42048bp1 [0,0,0,-804,-8512] 2 [-16:16:1] 42048bp2 [0,0,0,276,-29680] 2 [92:880:1]
42048bq (2 curves)	1	2- 3- 73+	2- 3-  2  0 -4 -4  4  0
Curve Equation t Generators 42048bq1 [0,0,0,-804,8512] 2 [-4:108:1] 42048bq2 [0,0,0,276,29680] 2 [8:180:1]
42048br (2 curves)	1	2- 3- 73+	2- 3-  2  2 -2 -4 -4 -4
Curve Equation t Generators 42048br1 [0,0,0,-74604,-7533488] 2 [3356:193752:1] 42048br2 [0,0,0,-1180524,-493695920] 2 [7532876:415498680:2197]
42048bs (2 curves)	1	2- 3- 73+	2- 3-  2 -2  2  4 -4  4
Curve Equation t Generators 42048bs1 [0,0,0,-1164,12688] 2 [44:216:1] 42048bs2 [0,0,0,-5484,-144560] 2 [92:360:1]
42048bt (1 curve)	1	2- 3- 73+	2- 3- -3 -2  4 -2  5  5
Curve Equation t Generators 42048bt1 [0,0,0,12336,281824] 1 [1001:31869:1]
42048bu (2 curves)	1	2- 3- 73+	2- 3-  4  0  2  2 -8 -4
Curve Equation t Generators 42048bu1 [0,0,0,-4563228,-3745082320] 2 [-4809150403089320:-9423277441401420:3957057343513] 42048bu2 [0,0,0,-2988588,-6368432560] 2 [14898200844035975490199760:-1555281790363666612760828292:1328393548228504943375]
42048bv (2 curves)	1	2- 3- 73+	2- 3- -4 -2  4  2  0 -4
Curve Equation t Generators 42048bv1 [0,0,0,-47532,-3742000] 2 [346:4608:1] 42048bv2 [0,0,0,-747372,-248686000] 2 [1804:65376:1]
42048bw (2 curves)	1	2- 3- 73+	2- 3- -4  4  6  2  0 -4
Curve Equation t Generators 42048bw1 [0,0,0,-732,6320] 2 [-8:108:1] 42048bw2 [0,0,0,1428,36560] 2 [16:252:1]
42048bx (2 curves)	0	2- 3- 73-	2- 3-  0  2 -4 -4  2  4
Curve Equation t 42048bx1 [0,0,0,-7500,-247664] 2 42048bx2 [0,0,0,-1740,-618608] 2
42048by (4 curves)	0	2- 3- 73-	2- 3-  0 -2  0  4 -6 -4
Curve Equation t 42048by1 [0,0,0,-540300,-131132144] 2 42048by2 [0,0,0,934260,-721545968] 2 42048by3 [0,0,0,-42012300,-104812432112] 2 42048by4 [0,0,0,-41989260,-104933134064] 2
42048bz (2 curves)	0	2- 3- 73-	2- 3-  0  4  2  0 -6 -4
Curve Equation t 42048bz1 [0,0,0,-900,-10368] 2 42048bz2 [0,0,0,-1260,-1296] 2
42048ca (4 curves)	0	2- 3- 73-	2- 3-  0  4  6  4  6  8
Curve Equation t 42048ca1 [0,0,0,-1120620,455395408] 2 42048ca2 [0,0,0,-17916780,29190265936] 2 42048ca3 [0,0,0,-5552940,-4659688496] 2 42048ca4 [0,0,0,-18823980,26070731728] 2
42048cb (2 curves)	2	2- 3- 73-	2- 3-  0 -4 -2  0 -6  4
Curve Equation t Generators 42048cb1 [0,0,0,-900,10368] 2 [21:-27:1]&[-18:144:1] 42048cb2 [0,0,0,-1260,1296] 2 [-20:136:1]&[0:36:1]
42048cc (2 curves)	2	2- 3- 73-	2- 3-  0 -4 -2 -4 -2  0
Curve Equation t Generators 42048cc1 [0,0,0,-1740,-11248] 2 [-32:108:1]&[-22:128:1] 42048cc2 [0,0,0,-14700,678224] 2 [-70:1168:1]&[26:560:1]
42048cd (1 curve)	0	2- 3- 73-	2- 3-  1  4  0 -4 -3 -7
Curve Equation t 42048cd1 [0,0,0,-1759872,898607072] 1
42048ce (1 curve)	0	2- 3- 73-	2- 3- -1  0  0  0  3  1
Curve Equation t 42048ce1 [0,0,0,-48,-2464] 1
42048cf (4 curves)	0	2- 3- 73-	2- 3-  2  0  0  6  6  4
Curve Equation t 42048cf1 [0,0,0,-71004,7282352] 2 42048cf2 [0,0,0,-71724,7127120] 4 42048cf3 [0,0,0,33396,26258960] 2 42048cf4 [0,0,0,-188364,-21939568] 2
42048cg (2 curves)	0	2- 3- 73-	2- 3-  2 -2  2  6 -2  8
Curve Equation t 42048cg1 [0,0,0,-684,-3888] 2 42048cg2 [0,0,0,2196,-28080] 2
42048ch (4 curves)	0	2- 3- 73-	2- 3-  2 -4  4 -2 -2 -4
Curve Equation t 42048ch1 [0,0,0,-4764,-52688] 2 42048ch2 [0,0,0,-63084,-6094640] 4 42048ch3 [0,0,0,-50124,-8671088] 2 42048ch4 [0,0,0,-1009164,-390203120] 2
42048ci (2 curves)	2	2- 3- 73-	2- 3- -2  2 -2 -2 -6 -4
Curve Equation t Generators 42048ci1 [0,0,0,-111,2320] 2 [20:90:1]&[48:328:1] 42048ci2 [0,0,0,-3396,75904] 2 [-66:112:1]&[5:243:1]
42048cj (2 curves)	2	2- 3- 73-	2- 3- -2 -2  2 -2 -6  4
Curve Equation t Generators 42048cj1 [0,0,0,-111,-2320] 2 [32:164:1]&[308:5402:1] 42048cj2 [0,0,0,-3396,-75904] 2 [-35:9:1]&[-34:16:1]
42048ck (4 curves)	0	2- 3- 73-	2- 3- -2  4  0  2  6 -4
Curve Equation t 42048ck1 [0,0,0,-10956,347024] 2 42048ck2 [0,0,0,-57036,-4942960] 4 42048ck3 [0,0,0,46644,-20909680] 2 42048ck4 [0,0,0,-897996,-327535216] 2
42048cl (2 curves)	0	2- 3- 73-	2- 3- -3  4  0  4 -3 -1
Curve Equation t 42048cl1 [0,0,0,96,286] 1 42048cl2 [0,0,0,-984,-16346] 1
42048cm (2 curves)	0	2- 3- 73-	2- 3-  4  2  0  0  2  4
Curve Equation t 42048cm1 [0,0,0,-7788,264400] 2 42048cm2 [0,0,0,-6348,365200] 2
42048cn (2 curves)	2	2- 3- 73-	2- 3- -4  0 -2  0  6 -8
Curve Equation t Generators 42048cn1 [0,0,0,-4332,39760] 2 [-67:171:1]&[-16:324:1] 42048cn2 [0,0,0,-56172,5120080] 2 [-198:2912:1]&[-6:2336:1]

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