Cremona's table of elliptic curves

13104 = 2⁴ · 3² · 7 · 13

Class	r	Atkin-Lehner	Eigenvalues
13104a (2 curves)	1	2+ 3+ 7+ 13+	2+ 3+  0 7+  0 13+  2  4
Curve Equation t Generators 13104a1 [0,0,0,-90,-341] 2 [63:494:1] 13104a2 [0,0,0,-1455,-21362] 2 [546:3553:8]
13104b (2 curves)	1	2+ 3+ 7+ 13+	2+ 3+  0 7+  0 13+ -2  4
Curve Equation t Generators 13104b1 [0,0,0,-810,9207] 2 [19:26:1] 13104b2 [0,0,0,-13095,576774] 2 [-42:1026:1]
13104c (2 curves)	1	2+ 3+ 7+ 13+	2+ 3+  2 7+  2 13+ -6 -4
Curve Equation t Generators 13104c1 [0,0,0,-521694,-145034685] 2 [207942620451520591:10644620375312208190:73649631442213] 13104c2 [0,0,0,-521559,-145113498] 2 [51892409163:5465676442356:4657463]
13104d (2 curves)	1	2+ 3+ 7+ 13+	2+ 3+ -2 7+ -2 13+  6 -4
Curve Equation t Generators 13104d1 [0,0,0,-57966,5371655] 2 [143:82:1] 13104d2 [0,0,0,-57951,5374574] 2 [65:1372:1]
13104e (1 curve)	1	2+ 3+ 7+ 13+	2+ 3+  3 7+  3 13+  1  1
Curve Equation t Generators 13104e1 [0,0,0,-6291,-192078] 1 [2343:113346:1]
13104f (1 curve)	1	2+ 3+ 7+ 13+	2+ 3+ -3 7+ -3 13+ -1  1
Curve Equation t Generators 13104f1 [0,0,0,-699,7114] 1 [17:-12:1]
13104g (2 curves)	0	2+ 3+ 7+ 13-	2+ 3+  4 7+  4 13-  6 -4
Curve Equation t 13104g1 [0,0,0,-783,-8370] 2 13104g2 [0,0,0,-243,-19710] 2
13104h (2 curves)	2	2+ 3+ 7+ 13-	2+ 3+ -4 7+ -4 13- -6 -4
Curve Equation t Generators 13104h1 [0,0,0,-87,310] 2 [-7:24:1]&[2:12:1] 13104h2 [0,0,0,-27,730] 2 [-7:24:1]&[-3:28:1]
13104i (1 curve)	1	2+ 3+ 7- 13-	2+ 3+  1 7- -1 13- -3  1
Curve Equation t Generators 13104i1 [0,0,0,8493,375282] 1 [-9:546:1]
13104j (1 curve)	1	2+ 3+ 7- 13-	2+ 3+ -1 7-  1 13-  3  1
Curve Equation t Generators 13104j1 [0,0,0,76437,-10132614] 1 [1665:-68796:1]
13104k (2 curves)	0	2+ 3- 7+ 13+	2+ 3-  0 7+ -2 13+  6  8
Curve Equation t 13104k1 [0,0,0,-92910,11189747] 2 13104k2 [0,0,0,-1497495,705335654] 2
13104l (1 curve)	0	2+ 3- 7+ 13+	2+ 3-  0 7+  3 13+ -4 -2
Curve Equation t 13104l1 [0,0,0,-75,-614] 1
13104m (1 curve)	0	2+ 3- 7+ 13+	2+ 3-  1 7+  4 13+  6 -1
Curve Equation t 13104m1 [0,0,0,-12,1388] 1
13104n (4 curves)	0	2+ 3- 7+ 13+	2+ 3- -2 7+  4 13+ -6 -4
Curve Equation t 13104n1 [0,0,0,-361191,-83551354] 2 13104n2 [0,0,0,-361371,-83463910] 4 13104n3 [0,0,0,-487731,-19955374] 2 13104n4 [0,0,0,-237891,-141376030] 2
13104o (4 curves)	2	2+ 3- 7+ 13+	2+ 3- -2 7+ -4 13+ -2 -4
Curve Equation t Generators 13104o1 [0,0,0,-831,9214] 2 [-31:72:1]&[5:72:1] 13104o2 [0,0,0,-1011,4930] 4 [-27:112:1]&[-21:130:1] 13104o3 [0,0,0,-8571,-302006] 2 [-54:58:1]&[-49:18:1] 13104o4 [0,0,0,3669,37690] 2 [-7:108:1]&[17:324:1]
13104p (1 curve)	0	2+ 3- 7+ 13+	2+ 3-  3 7+ -2 13+  0 -7
Curve Equation t 13104p1 [0,0,0,204,1388] 1
13104q (1 curve)	0	2+ 3- 7+ 13+	2+ 3-  3 7+ -5 13+ -3  1
Curve Equation t 13104q1 [0,0,0,-92811,-10943462] 1
13104r (1 curve)	0	2+ 3- 7+ 13+	2+ 3-  3 7+  6 13+  8  1
Curve Equation t 13104r1 [0,0,0,-997915476,12133817347948] 1
13104s (1 curve)	0	2+ 3- 7+ 13+	2+ 3- -3 7+  0 13+  2 -5
Curve Equation t 13104s1 [0,0,0,9636,239164] 1
13104t (2 curves)	0	2+ 3- 7+ 13+	2+ 3- -4 7+  6 13+ -6  8
Curve Equation t 13104t1 [0,0,0,-1902,-31925] 2 13104t2 [0,0,0,-1767,-36650] 2
13104u (1 curve)	1	2+ 3- 7+ 13-	2+ 3- -1 7+  5 13- -3 -1
Curve Equation t Generators 13104u1 [0,0,0,-3,2914] 1 [-1:54:1]
13104v (6 curves)	1	2+ 3- 7+ 13-	2+ 3-  2 7+ -4 13- -2  4
Curve Equation t Generators 13104v1 [0,0,0,-2154,36983] 2 [19:54:1] 13104v2 [0,0,0,-5799,-121210] 4 [-334:1755:8] 13104v3 [0,0,0,-85179,-9567430] 4 [805:21060:1] 13104v4 [0,0,0,15261,-799342] 2 [182890:2847663:1000] 13104v5 [0,0,0,-1362819,-612357982] 2 [1351:3510:1] 13104v6 [0,0,0,-77619,-11334958] 2 [21693:569530:27]
13104w (6 curves)	1	2+ 3- 7+ 13-	2+ 3-  2 7+ -4 13-  6 -4
Curve Equation t Generators 13104w1 [0,0,0,6486,-818417] 2 [1520101:51484680:1331] 13104w2 [0,0,0,-101559,-11558090] 4 [4577:308880:1] 13104w3 [0,0,0,-1592139,-773244470] 4 [125490:8199620:27] 13104w4 [0,0,0,-339699,62789218] 4 [1499:54054:1] 13104w5 [0,0,0,-25474179,-49487829662] 2 [17225006406:451920606940:2803221] 13104w6 [0,0,0,-1559379,-806587598] 2 [28476374898:-1861580067380:6128487]
13104x (2 curves)	1	2+ 3- 7- 13+	2+ 3-  0 7-  2 13+  2  0
Curve Equation t Generators 13104x1 [0,0,0,-1830,29923] 2 [27:14:1] 13104x2 [0,0,0,-615,69046] 2 [17:252:1]
13104y (2 curves)	1	2+ 3- 7- 13+	2+ 3-  0 7- -2 13+  2  0
Curve Equation t Generators 13104y1 [0,0,0,4650,-95209] 2 [355:6804:1] 13104y2 [0,0,0,-24015,-857698] 2 [-86:756:1]
13104z (1 curve)	0	2+ 3- 7- 13-	2+ 3-  1 7-  2 13-  0  7
Curve Equation t 13104z1 [0,0,0,-612,-6372] 1
13104ba (4 curves)	0	2+ 3- 7- 13-	2+ 3- -2 7-  0 13-  6  4
Curve Equation t 13104ba1 [0,0,0,-66,-10649] 2 13104ba2 [0,0,0,-7671,-255530] 4 13104ba3 [0,0,0,-122331,-16468454] 2 13104ba4 [0,0,0,-14691,285010] 4
13104bb (2 curves)	0	2- 3+ 7+ 13+	2- 3+  0 7+  4 13+  4  4
Curve Equation t 13104bb1 [0,0,0,120,387] 2 13104bb2 [0,0,0,-615,3474] 2
13104bc (2 curves)	0	2- 3+ 7+ 13+	2- 3+  0 7+ -4 13+ -4  4
Curve Equation t 13104bc1 [0,0,0,1080,-10449] 2 13104bc2 [0,0,0,-5535,-93798] 2
13104bd (1 curve)	0	2- 3+ 7+ 13+	2- 3+  3 7+ -1 13+  5  1
Curve Equation t 13104bd1 [0,0,0,-539811,152928162] 1
13104be (1 curve)	0	2- 3+ 7+ 13+	2- 3+ -3 7+  1 13+ -5  1
Curve Equation t 13104be1 [0,0,0,-59979,-5664006] 1
13104bf (4 curves)	1	2- 3+ 7+ 13-	2- 3+  0 7+  0 13-  6  4
Curve Equation t Generators 13104bf1 [0,0,0,-3435,-36454] 2 [-38:198:1] 13104bf2 [0,0,0,11925,-272998] 2 [373:7488:1] 13104bf3 [0,0,0,-137835,19695258] 2 [186:702:1] 13104bf4 [0,0,0,-129195,22271706] 2 [-75:5616:1]
13104bg (4 curves)	1	2- 3+ 7+ 13-	2- 3+  0 7+  0 13- -6  4
Curve Equation t Generators 13104bg1 [0,0,0,-15315,-729454] 2 [185:1664:1] 13104bg2 [0,0,0,-14355,-824878] 2 [233:2912:1] 13104bg3 [0,0,0,-30915,984258] 2 [-1086:13095:8] 13104bg4 [0,0,0,107325,7370946] 2 [609:17280:1]
13104bh (2 curves)	1	2- 3+ 7+ 13-	2- 3+  3 7+ -3 13- -3 -5
Curve Equation t Generators 13104bh1 [0,0,0,309,-2182] 1 [7:18:1] 13104bh2 [0,0,0,-3051,99738] 1 [87:702:1]
13104bi (2 curves)	1	2- 3+ 7+ 13-	2- 3+ -3 7+  3 13-  3 -5
Curve Equation t Generators 13104bi1 [0,0,0,-339,-3694] 1 [49:312:1] 13104bi2 [0,0,0,2781,58914] 1 [33:432:1]
13104bj (2 curves)	1	2- 3+ 7- 13+	2- 3+  0 7-  0 13+  2  4
Curve Equation t Generators 13104bj1 [0,0,0,-75,-198] 2 [-6:6:1] 13104bj2 [0,0,0,165,-1206] 2 [13:56:1]
13104bk (2 curves)	1	2- 3+ 7- 13+	2- 3+  0 7-  0 13+ -2  4
Curve Equation t Generators 13104bk1 [0,0,0,-675,5346] 2 [-18:108:1] 13104bk2 [0,0,0,1485,32562] 2 [9:216:1]
13104bl (1 curve)	0	2- 3+ 7- 13-	2- 3+  1 7- -5 13-  1  1
Curve Equation t 13104bl1 [0,0,0,11853,-1406862] 1
13104bm (1 curve)	0	2- 3+ 7- 13-	2- 3+ -1 7-  5 13- -1  1
Curve Equation t 13104bm1 [0,0,0,1317,52106] 1
13104bn (2 curves)	0	2- 3+ 7- 13-	2- 3+  2 7-  2 13- -4  4
Curve Equation t 13104bn1 [0,0,0,36,-37] 2 13104bn2 [0,0,0,-159,-310] 2
13104bo (2 curves)	0	2- 3+ 7- 13-	2- 3+ -2 7- -2 13-  4  4
Curve Equation t 13104bo1 [0,0,0,324,999] 2 13104bo2 [0,0,0,-1431,8370] 2
13104bp (1 curve)	1	2- 3- 7+ 13+	2- 3-  0 7+ -5 13+  4 -2
Curve Equation t Generators 13104bp1 [0,0,0,-3195,1517994] 1 [13:1216:1]
13104bq (2 curves)	1	2- 3- 7+ 13+	2- 3-  1 7+  5 13+  3  1
Curve Equation t Generators 13104bq1 [0,0,0,102813,-143367838] 1 [16081:2039616:1] 13104bq2 [0,0,0,-529127427,-4684772695678] 1 [444334767782959776334670399:422798519632605076518445368:16728392586532077449207]
13104br (1 curve)	1	2- 3- 7+ 13+	2- 3- -1 7+ -6 13+  8 -3
Curve Equation t Generators 13104br1 [0,0,0,-3288,-74324] 1 [98:738:1]
13104bs (2 curves)	1	2- 3- 7+ 13+	2- 3-  2 7+  0 13+ -4  0
Curve Equation t Generators 13104bs1 [0,0,0,-264,1843] 2 [9:14:1] 13104bs2 [0,0,0,-4359,110770] 2 [-70:270:1]
13104bt (4 curves)	1	2- 3- 7+ 13+	2- 3- -2 7+ -4 13+ -6  4
Curve Equation t Generators 13104bt1 [0,0,0,-1011,-11086] 2 [-14:18:1] 13104bt2 [0,0,0,-3891,81650] 4 [-17:378:1] 13104bt3 [0,0,0,-60051,5663954] 2 [145:72:1] 13104bt4 [0,0,0,6189,434450] 2 [31:810:1]
13104bu (1 curve)	1	2- 3- 7+ 13+	2- 3-  3 7+ -2 13+  4  1
Curve Equation t Generators 13104bu1 [0,0,0,-5256,146988] 1 [42:18:1]
13104bv (3 curves)	0	2- 3- 7+ 13-	2- 3-  0 7+ -3 13-  0 -2
Curve Equation t 13104bv1 [0,0,0,1005,-13102] 1 13104bv2 [0,0,0,-27795,-1795246] 1 13104bv3 [0,0,0,-2255475,-1303782478] 1
13104bw (1 curve)	0	2- 3- 7+ 13-	2- 3-  1 7+ -2 13-  4 -3
Curve Equation t 13104bw1 [0,0,0,-3792,102832] 1
13104bx (3 curves)	0	2- 3- 7+ 13-	2- 3-  3 7+  0 13-  6  7
Curve Equation t 13104bx1 [0,0,0,-1056,13232] 1 13104bx2 [0,0,0,1824,65648] 1 13104bx3 [0,0,0,-16896,-2083408] 1
13104by (3 curves)	0	2- 3- 7+ 13-	2- 3- -3 7+  3 13-  3  7
Curve Equation t 13104by1 [0,0,0,1941,312986] 1 13104by2 [0,0,0,-17499,-8532214] 1 13104by3 [0,0,0,-3752139,-2797522054] 1
13104bz (2 curves)	0	2- 3- 7- 13+	2- 3-  0 7- -2 13+ -4 -4
Curve Equation t 13104bz1 [0,0,0,-2820,111823] 2 13104bz2 [0,0,0,-56055,5105266] 2
13104ca (1 curve)	0	2- 3- 7- 13+	2- 3- -1 7- -2 13+  0 -1
Curve Equation t 13104ca1 [0,0,0,365712,-273506704] 1
13104cb (1 curve)	0	2- 3- 7- 13+	2- 3- -1 7-  3 13+ -5 -1
Curve Equation t 13104cb1 [0,0,0,-1083,-15766] 1
13104cc (2 curves)	0	2- 3- 7- 13+	2- 3-  2 7-  0 13+  4  8
Curve Equation t 13104cc1 [0,0,0,456,6347] 2 13104cc2 [0,0,0,-3639,69410] 2
13104cd (4 curves)	0	2- 3- 7- 13+	2- 3- -2 7-  4 13+  6  0
Curve Equation t 13104cd1 [0,0,0,124749,11511666] 2 13104cd2 [0,0,0,-612531,101312370] 4 13104cd3 [0,0,0,-4506291,-3610998414] 2 13104cd4 [0,0,0,-8515251,9560868210] 2
13104ce (1 curve)	0	2- 3- 7- 13+	2- 3-  3 7- -6 13+ -4 -5
Curve Equation t 13104ce1 [0,0,0,144,432] 1
13104cf (1 curve)	0	2- 3- 7- 13+	2- 3- -3 7-  1 13+ -7 -1
Curve Equation t 13104cf1 [0,0,0,-14469699,-21306624446] 1
13104cg (1 curve)	0	2- 3- 7- 13+	2- 3-  4 7-  1 13+  0  6
Curve Equation t 13104cg1 [0,0,0,477,-6750] 1
13104ch (1 curve)	1	2- 3- 7- 13-	2- 3-  1 7- -1 13-  1 -7
Curve Equation t Generators 13104ch1 [0,0,0,-15627,-761798] 1 [167:1134:1]
13104ci (1 curve)	1	2- 3- 7- 13-	2- 3-  1 7-  2 13-  4 -1
Curve Equation t Generators 13104ci1 [0,0,0,-17832,2301388] 1 [-22:1638:1]
13104cj (1 curve)	1	2- 3- 7- 13-	2- 3- -1 7- -4 13-  2  1
Curve Equation t Generators 13104cj1 [0,0,0,-48,236] 1 [-2:18:1]
13104ck (4 curves)	1	2- 3- 7- 13-	2- 3-  2 7- -4 13-  2  4
Curve Equation t Generators 13104ck1 [0,0,0,-8139,-274822] 2 [-2876:855:64] 13104ck2 [0,0,0,-19659,676730] 4 [-38:1170:1] 13104ck3 [0,0,0,-281739,57548090] 2 [410:3310:1] 13104ck4 [0,0,0,58101,4704698] 4 [-11:2016:1]
13104cl (1 curve)	1	2- 3- 7- 13-	2- 3- -4 7- -1 13- -4 -2
Curve Equation t Generators 13104cl1 [0,0,0,-663627,208445690] 1 [773:12544:1]

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