Cremona's table of elliptic curves

61248 = 2⁶ · 3 · 11 · 29

Class	r	Atkin-Lehner	Eigenvalues
61248a (2 curves)	1	2+ 3+ 11+ 29+	2+ 3+  2 -2 11+ -2  2 -4
Curve Equation t Generators 61248a1 [0,-1,0,28,30] 2 [15:60:1] 61248a2 [0,-1,0,-137,393] 2 [1:16:1]
61248b (4 curves)	1	2+ 3+ 11+ 29+	2+ 3+  2 -4 11+  2  2 -4
Curve Equation t Generators 61248b1 [0,-1,0,-1277,17997] 2 [218:415:8] 61248b2 [0,-1,0,-1297,17425] 4 [-8:165:1] 61248b3 [0,-1,0,1023,70785] 2 [67:660:1] 61248b4 [0,-1,0,-3937,-72863] 2 [-24:85:1]
61248c (1 curve)	1	2+ 3+ 11+ 29+	2+ 3+ -3 -3 11+ -1 -6 -5
Curve Equation t Generators 61248c1 [0,-1,0,223,-4191] 1 [25:-128:1]
61248d (2 curves)	1	2+ 3+ 11+ 29+	2+ 3+ -4  0 11+ -4 -2  8
Curve Equation t Generators 61248d1 [0,-1,0,-705,-3519] 2 [-7:32:1] 61248d2 [0,-1,0,-5345,149601] 2 [-7:432:1]
61248e (2 curves)	0	2+ 3+ 11+ 29-	2+ 3+  0  0 11+ -2  6  6
Curve Equation t 61248e1 [0,-1,0,87,-87] 2 61248e2 [0,-1,0,-353,-351] 2
61248f (2 curves)	0	2+ 3+ 11+ 29-	2+ 3+ -1  3 11+  1 -2 -5
Curve Equation t 61248f1 [0,-1,0,-37441,3064897] 1 61248f2 [0,-1,0,16319,-219340223] 1
61248g (2 curves)	0	2+ 3+ 11+ 29-	2+ 3+ -1  3 11+ -4  3  5
Curve Equation t 61248g1 [0,-1,0,-13910401,19973720449] 1 61248g2 [0,-1,0,34594559,106285817089] 1
61248h (4 curves)	0	2+ 3+ 11+ 29-	2+ 3+  2  0 11+ -2 -2  4
Curve Equation t 61248h1 [0,-1,0,2463,69345] 2 61248h2 [0,-1,0,-18017,745185] 4 61248h3 [0,-1,0,-92257,-10108703] 2 61248h4 [0,-1,0,-271457,54525153] 4
61248i (1 curve)	0	2+ 3+ 11+ 29-	2+ 3+ -3 -1 11+ -3 -2  1
Curve Equation t 61248i1 [0,-1,0,-6855617,-6922020159] 1
61248j (2 curves)	0	2+ 3+ 11+ 29-	2+ 3+ -4  0 11+  2 -6  2
Curve Equation t 61248j1 [0,-1,0,575,-14399] 2 61248j2 [0,-1,0,-6465,-176319] 2
61248k (2 curves)	0	2+ 3+ 11+ 29-	2+ 3+ -4  2 11+  4  6  0
Curve Equation t 61248k1 [0,-1,0,-38945,-2199519] 2 61248k2 [0,-1,0,95615,-14175359] 2
61248l (4 curves)	1	2+ 3+ 11- 29-	2+ 3+  0 -4 11-  4 -6  4
Curve Equation t Generators 61248l1 [0,-1,0,-293633,61283073] 2 [271:1240:1] 61248l2 [0,-1,0,-367873,27979009] 2 [-3245:765576:125] 61248l3 [0,-1,0,-1088513,-372714495] 2 [-671:7424:1] 61248l4 [0,-1,0,-16697473,-26255491967] 2 [-2353:696:1]
61248m (2 curves)	1	2+ 3+ 11- 29-	2+ 3+ -2  2 11-  2 -6  8
Curve Equation t Generators 61248m1 [0,-1,0,-3409,-74927] 2 [491:10788:1] 61248m2 [0,-1,0,-1089,-177471] 2 [13233:291772:27]
61248n (2 curves)	1	2+ 3+ 11- 29-	2+ 3+  3 -1 11-  4  3  1
Curve Equation t Generators 61248n1 [0,-1,0,59711,-9455423] 1 [639405:45776896:125] 61248n2 [0,-1,0,-2275009,-1323804479] 1 [46065:9881344:1]
61248o (2 curves)	0	2+ 3- 11+ 29+	2+ 3-  0  0 11+  0 -2  4
Curve Equation t 61248o1 [0,1,0,-510433,130205567] 2 61248o2 [0,1,0,-1698273,-700569729] 2
61248p (4 curves)	0	2+ 3- 11+ 29+	2+ 3- -2  0 11+  2 -6  8
Curve Equation t 61248p1 [0,1,0,-529,8207] 2 61248p2 [0,1,0,-10209,393471] 4 61248p3 [0,1,0,-11969,246687] 2 61248p4 [0,1,0,-163329,25352031] 2
61248q (2 curves)	1	2+ 3- 11+ 29-	2+ 3-  2 -2 11+ -2  2  0
Curve Equation t Generators 61248q1 [0,1,0,-38017,-1868833] 2 [-151:672:1] 61248q2 [0,1,0,110463,-12767265] 2 [52143:943200:343]
61248r (4 curves)	1	2+ 3- 11+ 29-	2+ 3- -2 -4 11+  6 -2  0
Curve Equation t Generators 61248r1 [0,1,0,-8049,-77265] 2 [-27:348:1] 61248r2 [0,1,0,-75329,7875231] 4 [-29:3168:1] 61248r3 [0,1,0,-24289,18420095] 2 [29:4212:1] 61248r4 [0,1,0,-1202849,507366591] 2 [637:180:1]
61248s (1 curve)	1	2+ 3- 11+ 29-	2+ 3-  3  3 11+  4 -7 -5
Curve Equation t Generators 61248s1 [0,1,0,-3169,-161281] 1 [125:1188:1]
61248t (2 curves)	1	2+ 3- 11- 29+	2+ 3-  0  0 11- -6 -2 -2
Curve Equation t Generators 61248t1 [0,1,0,-908513,333148287] 2 [681:5544:1] 61248t2 [0,1,0,-14537953,21330663551] 2 [1715:38016:1]
61248u (1 curve)	1	2+ 3- 11- 29+	2+ 3-  1 -1 11-  0 -1 -1
Curve Equation t Generators 61248u1 [0,1,0,41535,-1805409] 1 [219:-4224:1]
61248v (2 curves)	1	2+ 3- 11- 29+	2+ 3-  2  2 11- -2  2  4
Curve Equation t Generators 61248v1 [0,1,0,28,-30] 2 [3495:39950:27] 61248v2 [0,1,0,-137,-393] 2 [519:11832:1]
61248w (2 curves)	1	2+ 3- 11- 29+	2+ 3-  2 -2 11- -2  6 -4
Curve Equation t Generators 61248w1 [0,1,0,-31457,2134143] 2 [67:576:1] 61248w2 [0,1,0,-22177,3427775] 2 [98:1485:1]
61248x (1 curve)	1	2+ 3- 11- 29+	2+ 3-  3  3 11- -3 -2  1
Curve Equation t Generators 61248x1 [0,1,0,-2849,-326337] 1 [451:9504:1]
61248y (1 curve)	1	2+ 3- 11- 29+	2+ 3- -3 -1 11-  1  6 -1
Curve Equation t Generators 61248y1 [0,1,0,-417,3519] 1 [3:48:1]
61248z (2 curves)	0	2+ 3- 11- 29-	2+ 3-  0  0 11- -2  6 -6
Curve Equation t 61248z1 [0,1,0,87,87] 2 61248z2 [0,1,0,-353,351] 2
61248ba (2 curves)	0	2+ 3- 11- 29-	2+ 3-  0  4 11- -4 -6  0
Curve Equation t 61248ba1 [0,1,0,-353,1407] 2 61248ba2 [0,1,0,-4993,134111] 2
61248bb (1 curve)	0	2+ 3- 11- 29-	2+ 3-  1  5 11-  3  2 -7
Curve Equation t 61248bb1 [0,1,0,-17985,922911] 1
61248bc (1 curve)	0	2+ 3- 11- 29-	2+ 3- -1  1 11- -5  2  3
Curve Equation t 61248bc1 [0,1,0,58612159,-88083513057] 1
61248bd (1 curve)	0	2+ 3- 11- 29-	2+ 3- -1  3 11-  4  5  7
Curve Equation t 61248bd1 [0,1,0,-481,8063] 1
61248be (2 curves)	0	2+ 3- 11- 29-	2+ 3-  4 -4 11-  0  2  8
Curve Equation t 61248be1 [0,1,0,-40032961,-54994058593] 2 61248be2 [0,1,0,-289776321,1859788282527] 2
61248bf (2 curves)	0	2+ 3- 11- 29-	2+ 3- -4  0 11- -2  2 -2
Curve Equation t 61248bf1 [0,1,0,-35585,-35046561] 2 61248bf2 [0,1,0,-1837825,-952386721] 2
61248bg (2 curves)	0	2- 3+ 11+ 29+	2- 3+  0  0 11+ -6 -2  2
Curve Equation t 61248bg1 [0,-1,0,-908513,-333148287] 2 61248bg2 [0,-1,0,-14537953,-21330663551] 2
61248bh (1 curve)	0	2- 3+ 11+ 29+	2- 3+  1  1 11+  0 -1  1
Curve Equation t 61248bh1 [0,-1,0,41535,1805409] 1
61248bi (2 curves)	0	2- 3+ 11+ 29+	2- 3+  2  2 11+ -2  6  4
Curve Equation t 61248bi1 [0,-1,0,-31457,-2134143] 2 61248bi2 [0,-1,0,-22177,-3427775] 2
61248bj (1 curve)	0	2- 3+ 11+ 29+	2- 3+  3 -3 11+ -3 -2 -1
Curve Equation t 61248bj1 [0,-1,0,-2849,326337] 1
61248bk (1 curve)	0	2- 3+ 11+ 29+	2- 3+ -3  1 11+  1  6  1
Curve Equation t 61248bk1 [0,-1,0,-417,-3519] 1
61248bl (2 curves)	0	2- 3+ 11+ 29+	2- 3+  4 -4 11+ -4  6 -8
Curve Equation t 61248bl1 [0,-1,0,-5401,-150887] 2 61248bl2 [0,-1,0,-6561,-80127] 2
61248bm (2 curves)	1	2- 3+ 11+ 29-	2- 3+  0 -4 11+ -4 -6  0
Curve Equation t Generators 61248bm1 [0,-1,0,-353,-1407] 2 [-11:32:1] 61248bm2 [0,-1,0,-4993,-134111] 2 [-40:3:1]
61248bn (1 curve)	1	2- 3+ 11+ 29-	2- 3+  1 -5 11+  3  2  7
Curve Equation t Generators 61248bn1 [0,-1,0,-17985,-922911] 1 [485:10208:1]
61248bo (1 curve)	1	2- 3+ 11+ 29-	2- 3+ -1 -1 11+ -5  2 -3
Curve Equation t Generators 61248bo1 [0,-1,0,58612159,88083513057] 1 [12699198981313:1759708822765568:854670349]
61248bp (1 curve)	1	2- 3+ 11+ 29-	2- 3+ -1 -3 11+  4  5 -7
Curve Equation t Generators 61248bp1 [0,-1,0,-481,-8063] 1 [39:176:1]
61248bq (1 curve)	1	2- 3+ 11+ 29-	2- 3+  3 -1 11+  0 -1 -7
Curve Equation t Generators 61248bq1 [0,-1,0,-4609,-118943] 1 [1419:53372:1]
61248br (2 curves)	1	2- 3+ 11+ 29-	2- 3+  4  4 11+  0  2 -8
Curve Equation t Generators 61248br1 [0,-1,0,-40032961,54994058593] 2 [1048586164224453:-509973258523228160:2587716619489] 61248br2 [0,-1,0,-289776321,-1859788282527] 2 [-10104188257651151250604520:198596208863893170725848299:1070004325465252257625]
61248bs (2 curves)	1	2- 3+ 11+ 29-	2- 3+ -4  0 11+ -2  2  2
Curve Equation t Generators 61248bs1 [0,-1,0,-35585,35046561] 2 [9273:214676:27] 61248bs2 [0,-1,0,-1837825,952386721] 2 [149:26112:1]
61248bt (2 curves)	1	2- 3+ 11- 29+	2- 3+  0  0 11-  0 -2 -4
Curve Equation t Generators 61248bt1 [0,-1,0,-510433,-130205567] 2 [-9123:51040:27] 61248bt2 [0,-1,0,-1698273,700569729] 2 [1549:42240:1]
61248bu (2 curves)	1	2- 3+ 11- 29+	2- 3+  0 -4 11-  0 -2 -4
Curve Equation t Generators 61248bu1 [0,-1,0,-473,-3495] 2 [-11:16:1] 61248bu2 [0,-1,0,-1633,21793] 2 [-23:216:1]
61248bv (4 curves)	1	2- 3+ 11- 29+	2- 3+ -2  0 11-  2 -6 -8
Curve Equation t Generators 61248bv1 [0,-1,0,-529,-8207] 2 [51:308:1] 61248bv2 [0,-1,0,-10209,-393471] 4 [139:924:1] 61248bv3 [0,-1,0,-11969,-246687] 2 [-43:432:1] 61248bv4 [0,-1,0,-163329,-25352031] 2 [1531:57540:1]
61248bw (4 curves)	0	2- 3+ 11- 29-	2- 3+  2  0 11- -2  6 -4
Curve Equation t 61248bw1 [0,-1,0,-452,-3510] 2 61248bw2 [0,-1,0,-857,4185] 4 61248bw3 [0,-1,0,3103,28737] 2 61248bw4 [0,-1,0,-11297,465633] 4
61248bx (2 curves)	0	2- 3+ 11- 29-	2- 3+  2  2 11- -2  2  0
Curve Equation t 61248bx1 [0,-1,0,-38017,1868833] 2 61248bx2 [0,-1,0,110463,12767265] 2
61248by (4 curves)	0	2- 3+ 11- 29-	2- 3+ -2  4 11-  6 -2  0
Curve Equation t 61248by1 [0,-1,0,-8049,77265] 2 61248by2 [0,-1,0,-75329,-7875231] 4 61248by3 [0,-1,0,-24289,-18420095] 2 61248by4 [0,-1,0,-1202849,-507366591] 2
61248bz (1 curve)	0	2- 3+ 11- 29-	2- 3+  3 -3 11-  4 -7  5
Curve Equation t 61248bz1 [0,-1,0,-3169,161281] 1
61248ca (2 curves)	1	2- 3- 11+ 29+	2- 3-  0  4 11+  0 -2  4
Curve Equation t Generators 61248ca1 [0,1,0,-473,3495] 2 [-14:87:1] 61248ca2 [0,1,0,-1633,-21793] 2 [-22:63:1]
61248cb (4 curves)	0	2- 3- 11+ 29-	2- 3-  0  4 11+  4 -6 -4
Curve Equation t 61248cb1 [0,1,0,-293633,-61283073] 2 61248cb2 [0,1,0,-367873,-27979009] 2 61248cb3 [0,1,0,-1088513,372714495] 2 61248cb4 [0,1,0,-16697473,26255491967] 2
61248cc (4 curves)	0	2- 3- 11+ 29-	2- 3-  2  0 11+ -2  6  4
Curve Equation t 61248cc1 [0,1,0,-452,3510] 2 61248cc2 [0,1,0,-857,-4185] 4 61248cc3 [0,1,0,3103,-28737] 4 61248cc4 [0,1,0,-11297,-465633] 2
61248cd (2 curves)	2	2- 3- 11+ 29-	2- 3- -2 -2 11+  2 -6 -8
Curve Equation t Generators 61248cd1 [0,1,0,-3409,74927] 2 [47:144:1]&[-41:384:1] 61248cd2 [0,1,0,-1089,177471] 2 [-57:240:1]&[-30:429:1]
61248ce (2 curves)	0	2- 3- 11+ 29-	2- 3-  3  1 11+  4  3 -1
Curve Equation t 61248ce1 [0,1,0,59711,9455423] 1 61248ce2 [0,1,0,-2275009,1323804479] 1
61248cf (4 curves)	0	2- 3- 11- 29+	2- 3-  2  4 11-  2  2  4
Curve Equation t 61248cf1 [0,1,0,-1277,-17997] 2 61248cf2 [0,1,0,-1297,-17425] 4 61248cf3 [0,1,0,1023,-70785] 2 61248cf4 [0,1,0,-3937,72863] 2
61248cg (1 curve)	0	2- 3- 11- 29+	2- 3- -3  3 11- -1 -6  5
Curve Equation t 61248cg1 [0,1,0,223,4191] 1
61248ch (2 curves)	0	2- 3- 11- 29+	2- 3-  4  4 11- -4  6  8
Curve Equation t 61248ch1 [0,1,0,-5401,150887] 2 61248ch2 [0,1,0,-6561,80127] 2
61248ci (2 curves)	2	2- 3- 11- 29+	2- 3- -4  0 11- -4 -2 -8
Curve Equation t Generators 61248ci1 [0,1,0,-705,3519] 2 [-27:60:1]&[-9:96:1] 61248ci2 [0,1,0,-5345,-149601] 2 [-41:48:1]&[-38:9:1]
61248cj (2 curves)	1	2- 3- 11- 29-	2- 3- -1 -3 11-  1 -2  5
Curve Equation t Generators 61248cj1 [0,1,0,-37441,-3064897] 1 [559:12288:1] 61248cj2 [0,1,0,16319,219340223] 1 [1519:61248:1]
61248ck (2 curves)	1	2- 3- 11- 29-	2- 3- -1 -3 11- -4  3 -5
Curve Equation t Generators 61248ck1 [0,1,0,-13910401,-19973720449] 1 [6047:342144:1] 61248ck2 [0,1,0,34594559,-106285817089] 1 [8447:-888096:1]
61248cl (4 curves)	1	2- 3- 11- 29-	2- 3-  2  0 11- -2 -2 -4
Curve Equation t Generators 61248cl1 [0,1,0,2463,-69345] 2 [919004385:9725657088:9938375] 61248cl2 [0,1,0,-18017,-745185] 4 [2858:49665:8] 61248cl3 [0,1,0,-92257,10108703] 4 [242:1419:1] 61248cl4 [0,1,0,-271457,-54525153] 2 [603010:1189251:1000]
61248cm (1 curve)	1	2- 3- 11- 29-	2- 3-  3  1 11-  0 -1  7
Curve Equation t Generators 61248cm1 [0,1,0,-4609,118943] 1 [11:264:1]
61248cn (1 curve)	1	2- 3- 11- 29-	2- 3- -3  1 11- -3 -2 -1
Curve Equation t Generators 61248cn1 [0,1,0,-6855617,6922020159] 1 [3583:168432:1]
61248co (2 curves)	1	2- 3- 11- 29-	2- 3- -4  0 11-  2 -6 -2
Curve Equation t Generators 61248co1 [0,1,0,575,14399] 2 [5:132:1] 61248co2 [0,1,0,-6465,176319] 2 [15:288:1]
61248cp (2 curves)	1	2- 3- 11- 29-	2- 3- -4 -2 11-  4  6  0
Curve Equation t Generators 61248cp1 [0,1,0,-38945,2199519] 2 [34:957:1] 61248cp2 [0,1,0,95615,14175359] 2 [5:3828:1]

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