Cremona's table of elliptic curves

55104 = 2⁶ · 3 · 7 · 41

Class	r	Atkin-Lehner	Eigenvalues
55104a (4 curves)	1	2+ 3+ 7+ 41+	2+ 3+  2 7+  0 -6 -2 -4
Curve Equation t Generators 55104a1 [0,-1,0,-1492,22678] 2 [6372:59045:64] 55104a2 [0,-1,0,-1737,14985] 4 [5:80:1] 55104a3 [0,-1,0,5823,104193] 2 [383:7640:1] 55104a4 [0,-1,0,-13217,-570495] 2 [-534:795:8]
55104b (1 curve)	1	2+ 3+ 7+ 41+	2+ 3+  3 7+  0  5 -1  1
Curve Equation t Generators 55104b1 [0,-1,0,-2049,198657] 1 [-1:448:1]
55104c (2 curves)	2	2+ 3+ 7+ 41-	2+ 3+  0 7+ -2 -2 -2  0
Curve Equation t Generators 55104c1 [0,-1,0,287,-287] 2 [17:96:1]&[51:380:1] 55104c2 [0,-1,0,-1153,-1151] 2 [-29:84:1]&[-15:112:1]
55104d (1 curve)	0	2+ 3+ 7+ 41-	2+ 3+  0 7+  5  4  2 -5
Curve Equation t 55104d1 [0,-1,0,-33,-255] 1
55104e (1 curve)	0	2+ 3+ 7+ 41-	2+ 3+  1 7+  6 -3 -6 -6
Curve Equation t 55104e1 [0,-1,0,45215,-33005087] 1
55104f (1 curve)	0	2+ 3+ 7+ 41-	2+ 3+  1 7+ -6  3  2  2
Curve Equation t 55104f1 [0,-1,0,20,-2] 1
55104g (4 curves)	2	2+ 3+ 7+ 41-	2+ 3+ -2 7+  0 -6  2  4
Curve Equation t Generators 55104g1 [0,-1,0,-6529,246145] 2 [3:476:1]&[33:256:1] 55104g2 [0,-1,0,-110209,14118529] 4 [-257:5040:1]&[-96:4879:1] 55104g3 [0,-1,0,-115969,12566785] 2 [-287:4704:1]&[353:3936:1] 55104g4 [0,-1,0,-1763329,901843969] 4 [803:1740:1]&[1056:14705:1]
55104h (1 curve)	0	2+ 3+ 7+ 41-	2+ 3+ -3 7+  2  1  2 -2
Curve Equation t 55104h1 [0,-1,0,-3732,89094] 1
55104i (1 curve)	0	2+ 3+ 7+ 41-	2+ 3+ -3 7+  6  7 -6  6
Curve Equation t 55104i1 [0,-1,0,188223,9338049] 1
55104j (1 curve)	0	2+ 3+ 7+ 41-	2+ 3+ -4 7+  1  4  2 -5
Curve Equation t 55104j1 [0,-1,0,-210945,43412481] 1
55104k (2 curves)	0	2+ 3+ 7- 41+	2+ 3+  0 7-  3  4  6 -5
Curve Equation t 55104k1 [0,-1,0,-1793,30465] 1 55104k2 [0,-1,0,7807,122241] 1
55104l (1 curve)	0	2+ 3+ 7- 41+	2+ 3+  0 7-  3 -4 -2 -5
Curve Equation t 55104l1 [0,-1,0,-3808833,-2859850431] 1
55104m (1 curve)	0	2+ 3+ 7- 41+	2+ 3+ -1 7-  2  5 -2  6
Curve Equation t 55104m1 [0,-1,0,-2721,-248031] 1
55104n (1 curve)	0	2+ 3+ 7- 41+	2+ 3+  3 7-  0 -7  7  1
Curve Equation t 55104n1 [0,-1,0,191,-959] 1
55104o (1 curve)	0	2+ 3+ 7- 41+	2+ 3+  3 7-  2 -5 -2  2
Curve Equation t 55104o1 [0,-1,0,-449,7617] 1
55104p (1 curve)	0	2+ 3+ 7- 41+	2+ 3+  4 7- -1  0  3  0
Curve Equation t 55104p1 [0,-1,0,-7911,449793] 1
55104q (1 curve)	1	2+ 3+ 7- 41-	2+ 3+  0 7- -1  4 -3  8
Curve Equation t Generators 55104q1 [0,-1,0,-103,-371] 1 [116:1239:1]
55104r (2 curves)	1	2+ 3+ 7- 41-	2+ 3+ -3 7-  0  1 -3  1
Curve Equation t Generators 55104r1 [0,-1,0,-133217,-20714271] 1 [969:27552:1] 55104r2 [0,-1,0,-11114657,-14258682591] 1 [13497:1514688:1]
55104s (1 curve)	0	2+ 3- 7+ 41+	2+ 3- -1 7+ -2 -3  2 -2
Curve Equation t 55104s1 [0,1,0,58879,-1851297] 1
55104t (1 curve)	0	2+ 3- 7+ 41+	2+ 3-  3 7+ -2 -1 -6 -6
Curve Equation t 55104t1 [0,1,0,-2849,57663] 1
55104u (1 curve)	0	2+ 3- 7+ 41+	2+ 3- -3 7+  4 -1  3  3
Curve Equation t 55104u1 [0,1,0,-8097,6496959] 1
55104v (1 curve)	0	2+ 3- 7+ 41+	2+ 3-  4 7+  1  0  3  0
Curve Equation t 55104v1 [0,1,0,-7911,-449793] 1
55104w (1 curve)	0	2+ 3- 7+ 41+	2+ 3- -4 7+  1  0  2  1
Curve Equation t 55104w1 [0,1,0,315455,-318580321] 1
55104x (1 curve)	1	2+ 3- 7+ 41-	2+ 3-  0 7+  1  4 -3 -8
Curve Equation t Generators 55104x1 [0,1,0,-103,371] 1 [10:21:1]
55104y (2 curves)	1	2+ 3- 7+ 41-	2+ 3-  0 7+ -2  6 -2  8
Curve Equation t Generators 55104y1 [0,1,0,-24193,1518047] 2 [-19:1404:1] 55104y2 [0,1,0,-392833,94636511] 2 [1099:31488:1]
55104z (1 curve)	1	2+ 3- 7+ 41-	2+ 3-  0 7+ -5 -4  2  1
Curve Equation t Generators 55104z1 [0,1,0,10527,654975] 1 [51:-1152:1]
55104ba (1 curve)	1	2+ 3- 7+ 41-	2+ 3- -1 7+ -2 -3 -4  4
Curve Equation t Generators 55104ba1 [0,1,0,-13041,572751] 1 [-33:-984:1]
55104bb (1 curve)	1	2+ 3- 7+ 41-	2+ 3- -1 7+  4  3 -7 -5
Curve Equation t Generators 55104bb1 [0,1,0,-347201,96961311] 1 [153:6888:1]
55104bc (1 curve)	1	2+ 3- 7+ 41-	2+ 3- -2 7+  3  4  1 -6
Curve Equation t Generators 55104bc1 [0,1,0,-789,12915] 1 [-18:147:1]
55104bd (1 curve)	1	2+ 3- 7+ 41-	2+ 3-  3 7+ -2 -1 -4  4
Curve Equation t Generators 55104bd1 [0,1,0,-175908369,-1936801961937] 1 [167991:68625144:1]
55104be (1 curve)	1	2+ 3- 7+ 41-	2+ 3-  3 7+ -2  3  4 -4
Curve Equation t Generators 55104be1 [0,1,0,-49,-241] 1 [55:408:1]
55104bf (2 curves)	1	2+ 3- 7+ 41-	2+ 3-  4 7+ -6 -2 -2  0
Curve Equation t Generators 55104bf1 [0,1,0,-30721,-2170273] 2 [653:16020:1] 55104bf2 [0,1,0,-497281,-135139873] 2 [1643:59040:1]
55104bg (1 curve)	1	2+ 3- 7- 41+	2+ 3-  1 7-  2 -1  0  0
Curve Equation t Generators 55104bg1 [0,1,0,175,26607] 1 [7:-168:1]
55104bh (1 curve)	1	2+ 3- 7- 41+	2+ 3-  1 7- -4 -1  3  3
Curve Equation t Generators 55104bh1 [0,1,0,-4070305,3223288511] 1 [-541:72576:1]
55104bi (4 curves)	1	2+ 3- 7- 41+	2+ 3-  2 7-  0 -6 -2  4
Curve Equation t Generators 55104bi1 [0,1,0,-1492,-22678] 2 [77:570:1] 55104bi2 [0,1,0,-1737,-14985] 4 [-30:105:1] 55104bi3 [0,1,0,5823,-104193] 2 [42:465:1] 55104bi4 [0,1,0,-13217,570495] 2 [91:360:1]
55104bj (4 curves)	1	2+ 3- 7- 41+	2+ 3-  2 7-  4 -2 -2 -4
Curve Equation t Generators 55104bj1 [0,1,0,6463,1672863] 2 [-83:756:1] 55104bj2 [0,1,0,-177857,27588255] 4 [1965:85260:1] 55104bj3 [0,1,0,-492737,-97419105] 2 [48837537:2033118780:24389] 55104bj4 [0,1,0,-2812097,1814129823] 2 [272505:9722076:125]
55104bk (4 curves)	1	2+ 3- 7- 41+	2+ 3- -2 7-  0 -2 -2  4
Curve Equation t Generators 55104bk1 [0,1,0,191,-3553] 2 [13:36:1] 55104bk2 [0,1,0,-2689,-50209] 4 [301:5148:1] 55104bk3 [0,1,0,-9409,292511] 2 [670033:11177100:2197] 55104bk4 [0,1,0,-42049,-3332833] 2 [443927:5930964:1331]
55104bl (1 curve)	1	2+ 3- 7- 41+	2+ 3- -4 7-  1  4 -2 -7
Curve Equation t Generators 55104bl1 [0,1,0,-33185,-2511681] 1 [16113:372736:27]
55104bm (1 curve)	0	2+ 3- 7- 41-	2+ 3-  0 7- -5  4  2  5
Curve Equation t 55104bm1 [0,1,0,-33,255] 1
55104bn (1 curve)	0	2+ 3- 7- 41-	2+ 3-  1 7-  6  3  2 -2
Curve Equation t 55104bn1 [0,1,0,20,2] 1
55104bo (2 curves)	0	2+ 3- 7- 41-	2+ 3-  2 7-  4 -4  6  0
Curve Equation t 55104bo1 [0,1,0,-197,555] 2 55104bo2 [0,1,0,623,4655] 2
55104bp (1 curve)	0	2+ 3- 7- 41-	2+ 3- -3 7- -2  1  2  2
Curve Equation t 55104bp1 [0,1,0,-3732,-89094] 1
55104bq (1 curve)	0	2- 3+ 7+ 41+	2- 3+  1 7+ -2 -1  0  0
Curve Equation t 55104bq1 [0,-1,0,175,-26607] 1
55104br (1 curve)	0	2- 3+ 7+ 41+	2- 3+  1 7+  4 -1  3 -3
Curve Equation t 55104br1 [0,-1,0,-4070305,-3223288511] 1
55104bs (4 curves)	0	2- 3+ 7+ 41+	2- 3+  2 7+ -4 -2 -2  4
Curve Equation t 55104bs1 [0,-1,0,6463,-1672863] 2 55104bs2 [0,-1,0,-177857,-27588255] 4 55104bs3 [0,-1,0,-492737,97419105] 2 55104bs4 [0,-1,0,-2812097,-1814129823] 2
55104bt (4 curves)	2	2- 3+ 7+ 41+	2- 3+ -2 7+  0 -2 -2 -4
Curve Equation t Generators 55104bt1 [0,-1,0,191,3553] 2 [-9:32:1]&[7:72:1] 55104bt2 [0,-1,0,-2689,50209] 4 [-27:320:1]&[-5:252:1] 55104bt3 [0,-1,0,-9409,-292511] 2 [-48:215:1]&[-37:60:1] 55104bt4 [0,-1,0,-42049,3332833] 2 [21:1568:1]&[219:2140:1]
55104bu (1 curve)	0	2- 3+ 7+ 41+	2- 3+ -4 7+ -1  4 -2  7
Curve Equation t 55104bu1 [0,-1,0,-33185,2511681] 1
55104bv (2 curves)	1	2- 3+ 7+ 41-	2- 3+  0 7+ -2 -6  6  0
Curve Equation t Generators 55104bv1 [0,-1,0,-138713,29377689] 2 [2749:142880:1] 55104bv2 [0,-1,0,-2500673,1522608801] 2 [-9926:416745:8]
55104bw (1 curve)	1	2- 3+ 7+ 41-	2- 3+  0 7+ -5 -4 -3  0
Curve Equation t Generators 55104bw1 [0,-1,0,77,49] 1 [0:7:1]
55104bx (2 curves)	1	2- 3+ 7+ 41-	2- 3+  2 7+ -4 -4  6  0
Curve Equation t Generators 55104bx1 [0,-1,0,-197,-555] 2 [97:940:1] 55104bx2 [0,-1,0,623,-4655] 2 [9:40:1]
55104by (2 curves)	1	2- 3+ 7- 41+	2- 3+  0 7- -6 -2 -6  0
Curve Equation t Generators 55104by1 [0,-1,0,167,-4199] 2 [45:304:1] 55104by2 [0,-1,0,-3073,-60575] 2 [-32:63:1]
55104bz (1 curve)	1	2- 3+ 7- 41+	2- 3+ -1 7-  2 -3  2  2
Curve Equation t Generators 55104bz1 [0,-1,0,58879,1851297] 1 [277:6272:1]
55104ca (1 curve)	1	2- 3+ 7- 41+	2- 3+  3 7-  2 -1 -6  6
Curve Equation t Generators 55104ca1 [0,-1,0,-2849,-57663] 1 [9903:187264:27]
55104cb (1 curve)	1	2- 3+ 7- 41+	2- 3+ -3 7- -4 -1  3 -3
Curve Equation t Generators 55104cb1 [0,-1,0,-8097,-6496959] 1 [221:1568:1]
55104cc (1 curve)	1	2- 3+ 7- 41+	2- 3+ -4 7- -1  0  2 -1
Curve Equation t Generators 55104cc1 [0,-1,0,315455,318580321] 1 [-14361:5120:27]
55104cd (2 curves)	0	2- 3+ 7- 41-	2- 3+  0 7-  2  6 -2 -8
Curve Equation t 55104cd1 [0,-1,0,-24193,-1518047] 2 55104cd2 [0,-1,0,-392833,-94636511] 2
55104ce (1 curve)	0	2- 3+ 7- 41-	2- 3+  0 7-  5 -4  2 -1
Curve Equation t 55104ce1 [0,-1,0,10527,-654975] 1
55104cf (1 curve)	0	2- 3+ 7- 41-	2- 3+ -1 7-  2 -3 -4 -4
Curve Equation t 55104cf1 [0,-1,0,-13041,-572751] 1
55104cg (1 curve)	0	2- 3+ 7- 41-	2- 3+ -1 7- -2 -1  0  4
Curve Equation t 55104cg1 [0,-1,0,-1456,-20906] 1
55104ch (1 curve)	0	2- 3+ 7- 41-	2- 3+ -1 7- -2  7  0  4
Curve Equation t 55104ch1 [0,-1,0,-59481296,176669312214] 1
55104ci (1 curve)	0	2- 3+ 7- 41-	2- 3+ -1 7-  4 -5 -3  1
Curve Equation t 55104ci1 [0,-1,0,-1281,-17343] 1
55104cj (1 curve)	0	2- 3+ 7- 41-	2- 3+ -1 7- -4  3 -7  5
Curve Equation t 55104cj1 [0,-1,0,-347201,-96961311] 1
55104ck (4 curves)	0	2- 3+ 7- 41-	2- 3+  2 7-  4  2 -6  4
Curve Equation t 55104ck1 [0,-1,0,-92,1170] 2 55104ck2 [0,-1,0,-2297,43065] 4 55104ck3 [0,-1,0,-3137,9633] 2 55104ck4 [0,-1,0,-36737,2722497] 2
55104cl (1 curve)	0	2- 3+ 7- 41-	2- 3+ -2 7- -3  4  1  6
Curve Equation t 55104cl1 [0,-1,0,-789,-12915] 1
55104cm (1 curve)	0	2- 3+ 7- 41-	2- 3+  3 7-  2 -1 -4 -4
Curve Equation t 55104cm1 [0,-1,0,-175908369,1936801961937] 1
55104cn (1 curve)	0	2- 3+ 7- 41-	2- 3+  3 7-  2  3  4  4
Curve Equation t 55104cn1 [0,-1,0,-49,241] 1
55104co (1 curve)	0	2- 3+ 7- 41-	2- 3+  3 7-  6  1  0  4
Curve Equation t 55104co1 [0,-1,0,-504,5022] 1
55104cp (1 curve)	0	2- 3+ 7- 41-	2- 3+  4 7-  3  4  5  4
Curve Equation t 55104cp1 [0,-1,0,-134611,19054393] 1
55104cq (2 curves)	0	2- 3+ 7- 41-	2- 3+  4 7-  6 -2 -2  0
Curve Equation t 55104cq1 [0,-1,0,-30721,2170273] 2 55104cq2 [0,-1,0,-497281,135139873] 2
55104cr (2 curves)	1	2- 3- 7+ 41+	2- 3-  0 7+ -3  4  6  5
Curve Equation t Generators 55104cr1 [0,1,0,-1793,-30465] 1 [127:1344:1] 55104cr2 [0,1,0,7807,-122241] 1 [3045:40096:27]
55104cs (1 curve)	1	2- 3- 7+ 41+	2- 3-  0 7+ -3 -4 -2  5
Curve Equation t Generators 55104cs1 [0,1,0,-3808833,2859850431] 1 [1119:432:1]
55104ct (2 curves)	1	2- 3- 7+ 41+	2- 3-  0 7+  6 -2 -6  0
Curve Equation t Generators 55104ct1 [0,1,0,167,4199] 2 [5:72:1] 55104ct2 [0,1,0,-3073,60575] 2 [11:168:1]
55104cu (1 curve)	1	2- 3- 7+ 41+	2- 3- -1 7+ -2  5 -2 -6
Curve Equation t Generators 55104cu1 [0,1,0,-2721,248031] 1 [135:1536:1]
55104cv (1 curve)	1	2- 3- 7+ 41+	2- 3-  3 7+  0 -7  7 -1
Curve Equation t Generators 55104cv1 [0,1,0,191,959] 1 [10:63:1]
55104cw (1 curve)	1	2- 3- 7+ 41+	2- 3-  3 7+ -2 -5 -2 -2
Curve Equation t Generators 55104cw1 [0,1,0,-449,-7617] 1 [31:96:1]
55104cx (1 curve)	0	2- 3- 7+ 41-	2- 3- -1 7+  2 -1  0 -4
Curve Equation t 55104cx1 [0,1,0,-1456,20906] 1
55104cy (1 curve)	0	2- 3- 7+ 41-	2- 3- -1 7+  2  7  0 -4
Curve Equation t 55104cy1 [0,1,0,-59481296,-176669312214] 1
55104cz (1 curve)	2	2- 3- 7+ 41-	2- 3- -1 7+ -4 -5 -3 -1
Curve Equation t Generators 55104cz1 [0,1,0,-1281,17343] 1 [-31:168:1]&[-9:168:1]
55104da (4 curves)	0	2- 3- 7+ 41-	2- 3-  2 7+ -4  2 -6 -4
Curve Equation t 55104da1 [0,1,0,-92,-1170] 2 55104da2 [0,1,0,-2297,-43065] 4 55104da3 [0,1,0,-3137,-9633] 2 55104da4 [0,1,0,-36737,-2722497] 2
55104db (1 curve)	0	2- 3- 7+ 41-	2- 3-  3 7+ -6  1  0 -4
Curve Equation t 55104db1 [0,1,0,-504,-5022] 1
55104dc (2 curves)	2	2- 3- 7+ 41-	2- 3- -3 7+  0  1 -3 -1
Curve Equation t Generators 55104dc1 [0,1,0,-133217,20714271] 1 [343:-3936:1]&[-395:3444:1] 55104dc2 [0,1,0,-11114657,14258682591] 1 [1927:-192:1]&[-1835:168756:1]
55104dd (1 curve)	0	2- 3- 7+ 41-	2- 3-  4 7+ -3  4  5 -4
Curve Equation t 55104dd1 [0,1,0,-134611,-19054393] 1
55104de (1 curve)	0	2- 3- 7- 41+	2- 3-  3 7-  0  5 -1 -1
Curve Equation t 55104de1 [0,1,0,-2049,-198657] 1
55104df (2 curves)	1	2- 3- 7- 41-	2- 3-  0 7-  2 -2 -2  0
Curve Equation t Generators 55104df1 [0,1,0,287,287] 2 [1:24:1] 55104df2 [0,1,0,-1153,1151] 2 [-1:48:1]
55104dg (2 curves)	1	2- 3- 7- 41-	2- 3-  0 7-  2 -6  6  0
Curve Equation t Generators 55104dg1 [0,1,0,-138713,-29377689] 2 [775:18144:1] 55104dg2 [0,1,0,-2500673,-1522608801] 2 [-917:504:1]
55104dh (1 curve)	1	2- 3- 7- 41-	2- 3-  0 7-  5 -4 -3  0
Curve Equation t Generators 55104dh1 [0,1,0,77,-49] 1 [14:63:1]
55104di (1 curve)	1	2- 3- 7- 41-	2- 3-  1 7- -6 -3 -6  6
Curve Equation t Generators 55104di1 [0,1,0,45215,33005087] 1 [71:-6048:1]
55104dj (4 curves)	1	2- 3- 7- 41-	2- 3- -2 7-  0 -6  2 -4
Curve Equation t Generators 55104dj1 [0,1,0,-6529,-246145] 2 [223:3072:1] 55104dj2 [0,1,0,-110209,-14118529] 4 [385:816:1] 55104dj3 [0,1,0,-115969,-12566785] 4 [-193:1632:1] 55104dj4 [0,1,0,-1763329,-901843969] 2 [165697:-67446480:1]
55104dk (1 curve)	1	2- 3- 7- 41-	2- 3- -3 7- -6  7 -6 -6
Curve Equation t Generators 55104dk1 [0,1,0,188223,-9338049] 1 [1023:35424:1]
55104dl (1 curve)	1	2- 3- 7- 41-	2- 3- -4 7- -1  4  2  5
Curve Equation t Generators 55104dl1 [0,1,0,-210945,-43412481] 1 [735:14112:1]

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