Cremona's table of elliptic curves

34848 = 2⁵ · 3² · 11²

Class	r	Atkin-Lehner	Eigenvalues
34848a (2 curves)	1	2+ 3+ 11+	2+ 3+  4  0 11+ -4 -2  0
Curve Equation t Generators 34848a1 [0,0,0,-3993,0] 2 [675:17460:1] 34848a2 [0,0,0,15972,0] 2 [2258160:59443928:3375]
34848b (2 curves)	1	2+ 3+ 11+	2+ 3+ -4  0 11+  4 -2  0
Curve Equation t Generators 34848b1 [0,0,0,-297,0] 2 [-11:44:1] 34848b2 [0,0,0,1188,0] 2 [16:152:1]
34848c (2 curves)	0	2+ 3+ 11-	2+ 3+  0  2 11-  2 -2 -6
Curve Equation t 34848c1 [0,0,0,-5445,-154396] 2 34848c2 [0,0,0,-7260,-42592] 2
34848d (2 curves)	0	2+ 3+ 11-	2+ 3+  0 -2 11-  2  2  6
Curve Equation t 34848d1 [0,0,0,-49005,-4168692] 2 34848d2 [0,0,0,-65340,-1149984] 2
34848e (2 curves)	0	2+ 3+ 11-	2+ 3+  2  4 11- -4  6 -2
Curve Equation t 34848e1 [0,0,0,-1089,-10648] 2 34848e2 [0,0,0,2541,-66550] 2
34848f (2 curves)	0	2+ 3+ 11-	2+ 3+  2 -4 11- -4  6  2
Curve Equation t 34848f1 [0,0,0,-1089,10648] 2 34848f2 [0,0,0,2541,66550] 2
34848g (2 curves)	0	2+ 3+ 11-	2+ 3+ -2  0 11-  0 -2  6
Curve Equation t 34848g1 [0,0,0,-1447281,670153176] 2 34848g2 [0,0,0,-1414611,701849610] 2
34848h (2 curves)	0	2+ 3+ 11-	2+ 3+ -2  0 11-  0 -2 -6
Curve Equation t 34848h1 [0,0,0,-1447281,-670153176] 2 34848h2 [0,0,0,-1414611,-701849610] 2
34848i (2 curves)	0	2+ 3+ 11-	2+ 3+  4  0 11-  6 -8  0
Curve Equation t 34848i1 [0,0,0,3267,0] 2 34848i2 [0,0,0,-13068,0] 2
34848j (2 curves)	0	2+ 3- 11+	2+ 3-  0 -4 11+  2  2  2
Curve Equation t 34848j1 [0,0,0,-19965,644204] 2 34848j2 [0,0,0,-139755,-19648222] 2
34848k (2 curves)	2	2+ 3- 11+	2+ 3-  0 -4 11+ -2 -2  2
Curve Equation t Generators 34848k1 [0,0,0,-165,484] 2 [-7:36:1]&[3:4:1] 34848k2 [0,0,0,-1155,-14762] 2 [-19:18:1]&[-18:14:1]
34848l (2 curves)	2	2+ 3- 11+	2+ 3- -2  0 11+ -4 -8  0
Curve Equation t Generators 34848l1 [0,0,0,99,0] 2 [1:10:1]&[3:18:1] 34848l2 [0,0,0,-396,0] 2 [-18:36:1]&[-11:55:1]
34848m (2 curves)	1	2+ 3- 11-	2+ 3-  0  2 11- -4 -2  0
Curve Equation t Generators 34848m1 [0,0,0,-107085,13485692] 2 [209:-484:1] 34848m2 [0,0,0,-96195,16336694] 2 [110:2662:1]
34848n (1 curve)	1	2+ 3- 11-	2+ 3-  1  2 11-  1 -5  8
Curve Equation t Generators 34848n1 [0,0,0,-175692,28579232] 1 [242:-484:1]
34848o (1 curve)	1	2+ 3- 11-	2+ 3-  1  2 11- -1  5  8
Curve Equation t Generators 34848o1 [0,0,0,-1452,21472] 1 [26:36:1]
34848p (1 curve)	1	2+ 3- 11-	2+ 3- -1  2 11- -1  3  2
Curve Equation t Generators 34848p1 [0,0,0,132,-704] 1 [5:9:1]
34848q (1 curve)	1	2+ 3- 11-	2+ 3- -1 -2 11- -1  3 -2
Curve Equation t Generators 34848q1 [0,0,0,132,704] 1 [4:36:1]
34848r (1 curve)	1	2+ 3- 11-	2+ 3- -1  4 11-  2  0 -2
Curve Equation t Generators 34848r1 [0,0,0,-49368,4237904] 1 [440:8228:1]
34848s (1 curve)	1	2+ 3- 11-	2+ 3- -1 -4 11-  2  0  2
Curve Equation t Generators 34848s1 [0,0,0,-49368,-4237904] 1 [1188:40172:1]
34848t (4 curves)	1	2+ 3- 11-	2+ 3-  2  0 11-  6  2 -4
Curve Equation t Generators 34848t1 [0,0,0,-37389,-2422420] 4 [5548244:105615900:12167] 34848t2 [0,0,0,60621,-12987898] 2 [1741:73278:1] 34848t3 [0,0,0,-157179,21559538] 2 [21362:1092267:8] 34848t4 [0,0,0,-576444,-168451360] 2 [3492167054140:-31069710456525:3825694144]
34848u (2 curves)	1	2+ 3- 11-	2+ 3-  2  2 11-  2  0  2
Curve Equation t Generators 34848u1 [0,0,0,6171,1224520] 2 [33:1210:1] 34848u2 [0,0,0,-140844,19336768] 2 [-66:5324:1]
34848v (2 curves)	1	2+ 3- 11-	2+ 3-  2 -2 11-  2  0 -2
Curve Equation t Generators 34848v1 [0,0,0,6171,-1224520] 2 [617:15410:1] 34848v2 [0,0,0,-140844,-19336768] 2 [-194:828:1]
34848w (1 curve)	1	2+ 3- 11-	2+ 3-  2 -3 11-  6  4  5
Curve Equation t Generators 34848w1 [0,0,0,-31944,3045328] 1 [344:5724:1]
34848x (1 curve)	1	2+ 3- 11-	2+ 3-  2 -3 11- -6 -4  5
Curve Equation t Generators 34848x1 [0,0,0,-264,2288] 1 [4:-36:1]
34848y (1 curve)	1	2+ 3- 11-	2+ 3- -2 -1 11-  2 -4 -1
Curve Equation t Generators 34848y1 [0,0,0,351384,-621012656] 1 [39215656:1561875732:24389]
34848z (1 curve)	1	2+ 3- 11-	2+ 3- -2 -1 11- -2  4 -1
Curve Equation t Generators 34848z1 [0,0,0,2904,-466576] 1 [484:10692:1]
34848ba (4 curves)	1	2+ 3- 11-	2+ 3- -2  4 11-  2 -6  4
Curve Equation t Generators 34848ba1 [0,0,0,-2541,26620] 4 [92:756:1] 34848ba2 [0,0,0,8349,194326] 2 [5:486:1] 34848ba3 [0,0,0,-18876,-979616] 2 [440:8712:1] 34848ba4 [0,0,0,-35211,2542210] 2 [46802:180900:343]
34848bb (4 curves)	1	2+ 3- 11-	2+ 3- -2 -4 11-  2  2 -4
Curve Equation t Generators 34848bb1 [0,0,0,-21346941,37960040140] 4 [43052:8883396:1] 34848bb2 [0,0,0,-20029251,42850514806] 2 [-4939:145926:1] 34848bb3 [0,0,0,-22670076,32988228064] 2 [12562:284229:8] 34848bb4 [0,0,0,-341545611,2429523906370] 2 [5009150846029308:-3888298410205:469459763648]
34848bc (1 curve)	1	2+ 3- 11-	2+ 3-  3 -4 11-  2 -8  6
Curve Equation t Generators 34848bc1 [0,0,0,2904,-362032] 1 [5192:374132:1]
34848bd (1 curve)	1	2+ 3- 11-	2+ 3- -3  2 11-  1 -1  0
Curve Equation t Generators 34848bd1 [0,0,0,5957556,-23295822176] 1 [2178:3388:1]
34848be (1 curve)	1	2+ 3- 11-	2+ 3- -3  2 11- -1  1  0
Curve Equation t Generators 34848be1 [0,0,0,49236,-17502496] 1 [202:828:1]
34848bf (2 curves)	1	2+ 3- 11-	2+ 3-  4  2 11- -4  2 -4
Curve Equation t Generators 34848bf1 [0,0,0,-11253,-452540] 2 [2145:99220:1] 34848bf2 [0,0,0,-363,-1291070] 2 [2144010:99264649:1000]
34848bg (2 curves)	0	2- 3+ 11+	2- 3+  4  0 11+  4  2  0
Curve Equation t 34848bg1 [0,0,0,-33,0] 2 34848bg2 [0,0,0,132,0] 2
34848bh (2 curves)	0	2- 3+ 11+	2- 3+ -4  0 11+ -4  2  0
Curve Equation t 34848bh1 [0,0,0,-35937,0] 2 34848bh2 [0,0,0,143748,0] 2
34848bi (2 curves)	1	2- 3+ 11-	2- 3+  0  2 11-  2  2 -6
Curve Equation t Generators 34848bi1 [0,0,0,-49005,4168692] 2 [807:22140:1] 34848bi2 [0,0,0,-65340,1149984] 2 [286:2420:1]
34848bj (2 curves)	1	2- 3+ 11-	2- 3+  0 -2 11-  2 -2  6
Curve Equation t Generators 34848bj1 [0,0,0,-5445,154396] 2 [47:48:1] 34848bj2 [0,0,0,-7260,42592] 2 [-66:484:1]
34848bk (2 curves)	1	2- 3+ 11-	2- 3+  2  0 11-  0  2  6
Curve Equation t Generators 34848bk1 [0,0,0,-160809,-24820488] 2 [5350045668:189392608086:3869893] 34848bk2 [0,0,0,-157179,-25994430] 2 [193954605472835854:-6870179799020800750:140340473848063]
34848bl (2 curves)	1	2- 3+ 11-	2- 3+  2  0 11-  0  2 -6
Curve Equation t Generators 34848bl1 [0,0,0,-160809,24820488] 2 [1881:79860:1] 34848bl2 [0,0,0,-157179,25994430] 2 [-2046:56265:8]
34848bm (2 curves)	1	2- 3+ 11-	2- 3+ -2  4 11- -4 -6 -2
Curve Equation t Generators 34848bm1 [0,0,0,-9801,287496] 2 [31:116:1] 34848bm2 [0,0,0,22869,1796850] 2 [3298:189602:1]
34848bn (2 curves)	1	2- 3+ 11-	2- 3+ -2 -4 11- -4 -6  2
Curve Equation t Generators 34848bn1 [0,0,0,-9801,-287496] 2 [-44:242:1] 34848bn2 [0,0,0,22869,-1796850] 2 [550:13310:1]
34848bo (2 curves)	1	2- 3+ 11-	2- 3+ -4  0 11-  6  8  0
Curve Equation t Generators 34848bo1 [0,0,0,363,0] 2 [12:78:1] 34848bo2 [0,0,0,-1452,0] 2 [-11:121:1]
34848bp (2 curves)	1	2- 3- 11+	2- 3-  0  4 11+  2  2 -2
Curve Equation t Generators 34848bp1 [0,0,0,-19965,-644204] 2 [54320:139698:343] 34848bp2 [0,0,0,-139755,19648222] 2 [389:4914:1]
34848bq (2 curves)	1	2- 3- 11+	2- 3-  0  4 11+ -2 -2 -2
Curve Equation t Generators 34848bq1 [0,0,0,-165,-484] 2 [-8:18:1] 34848bq2 [0,0,0,-1155,14762] 2 [58:378:1]
34848br (2 curves)	1	2- 3- 11+	2- 3- -2  0 11+  4  8  0
Curve Equation t Generators 34848br1 [0,0,0,11979,0] 2 [48:828:1] 34848br2 [0,0,0,-47916,0] 2 [19044:222525:64]
34848bs (2 curves)	0	2- 3- 11-	2- 3-  0 -2 11- -4 -2  0
Curve Equation t 34848bs1 [0,0,0,-107085,-13485692] 2 34848bs2 [0,0,0,-96195,-16336694] 2
34848bt (1 curve)	0	2- 3- 11-	2- 3-  1 -2 11-  1 -5 -8
Curve Equation t 34848bt1 [0,0,0,-175692,-28579232] 1
34848bu (1 curve)	0	2- 3- 11-	2- 3-  1 -2 11- -1  5 -8
Curve Equation t 34848bu1 [0,0,0,-1452,-21472] 1
34848bv (1 curve)	0	2- 3- 11-	2- 3- -1  0 11-  6 -4  6
Curve Equation t 34848bv1 [0,0,0,8712,4024944] 1
34848bw (1 curve)	0	2- 3- 11-	2- 3- -1  0 11-  6 -4 -6
Curve Equation t 34848bw1 [0,0,0,8712,-4024944] 1
34848bx (1 curve)	0	2- 3- 11-	2- 3- -1  2 11-  1 -3  2
Curve Equation t 34848bx1 [0,0,0,15972,-937024] 1
34848by (1 curve)	2	2- 3- 11-	2- 3- -1 -2 11-  1 -3 -2
Curve Equation t Generators 34848by1 [0,0,0,15972,937024] 1 [242:-4356:1]&[-28:684:1]
34848bz (4 curves)	0	2- 3- 11-	2- 3-  2  0 11-  6  2  4
Curve Equation t 34848bz1 [0,0,0,-37389,2422420] 4 34848bz2 [0,0,0,60621,12987898] 2 34848bz3 [0,0,0,-157179,-21559538] 2 34848bz4 [0,0,0,-576444,168451360] 2
34848ca (4 curves)	0	2- 3- 11-	2- 3-  2  0 11- -6  2  0
Curve Equation t 34848ca1 [0,0,0,-1089,0] 4 34848ca2 [0,0,0,4356,0] 2 34848ca3 [0,0,0,-11979,-503118] 2 34848ca4 [0,0,0,-11979,503118] 2
34848cb (1 curve)	0	2- 3- 11-	2- 3-  2  3 11-  6  4 -5
Curve Equation t 34848cb1 [0,0,0,-31944,-3045328] 1
34848cc (1 curve)	0	2- 3- 11-	2- 3-  2  3 11- -6 -4 -5
Curve Equation t 34848cc1 [0,0,0,-264,-2288] 1
34848cd (1 curve)	0	2- 3- 11-	2- 3- -2  1 11-  2 -4  1
Curve Equation t 34848cd1 [0,0,0,351384,621012656] 1
34848ce (1 curve)	0	2- 3- 11-	2- 3- -2  1 11- -2  4  1
Curve Equation t 34848ce1 [0,0,0,2904,466576] 1
34848cf (4 curves)	0	2- 3- 11-	2- 3- -2  4 11-  2  2  4
Curve Equation t 34848cf1 [0,0,0,-21346941,-37960040140] 4 34848cf2 [0,0,0,-20029251,-42850514806] 2 34848cf3 [0,0,0,-22670076,-32988228064] 2 34848cf4 [0,0,0,-341545611,-2429523906370] 2
34848cg (4 curves)	2	2- 3- 11-	2- 3- -2 -4 11-  2 -6 -4
Curve Equation t Generators 34848cg1 [0,0,0,-2541,-26620] 4 [-43:56:1]&[-17:108:1] 34848cg2 [0,0,0,8349,-194326] 2 [154:2178:1]&[346:6642:1] 34848cg3 [0,0,0,-18876,979616] 2 [110:-484:1]&[-74:1404:1] 34848cg4 [0,0,0,-35211,-2542210] 2 [-107:18:1]&[374:6050:1]
34848ch (1 curve)	0	2- 3- 11-	2- 3-  3  4 11-  2 -8 -6
Curve Equation t 34848ch1 [0,0,0,2904,362032] 1
34848ci (1 curve)	0	2- 3- 11-	2- 3- -3 -2 11-  1 -1  0
Curve Equation t 34848ci1 [0,0,0,5957556,23295822176] 1
34848cj (1 curve)	0	2- 3- 11-	2- 3- -3 -2 11- -1  1  0
Curve Equation t 34848cj1 [0,0,0,49236,17502496] 1
34848ck (2 curves)	0	2- 3- 11-	2- 3-  4 -2 11- -4  2  4
Curve Equation t 34848ck1 [0,0,0,-11253,452540] 2 34848ck2 [0,0,0,-363,1291070] 2

Data from Elliptic Curve Data by J. E. Cremona.
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