Cremona's table of elliptic curves

127794 = 2 · 3 · 19² · 59

Class	r	Atkin-Lehner	Eigenvalues
127794a (1 curve)	1	2+ 3+ 19+ 59+	2+ 3+  0 -2  0 -7  3 19+
Curve Equation t Generators 127794a1 [1,1,0,-102170,11531412] 1 [-211:4979:1]
127794b (2 curves)	1	2+ 3+ 19+ 59+	2+ 3+  2  0  2 -2 -2 19+
Curve Equation t Generators 127794b1 [1,1,0,-159,-315] 2 [-10:25:1] 127794b2 [1,1,0,601,-1683] 2 [9:63:1]
127794c (1 curve)	0	2+ 3+ 19+ 59-	2+ 3+ -2 -2 -6  5  3 19+
Curve Equation t 127794c1 [1,1,0,-1844356,-657111344] 1
127794d (2 curves)	0	2+ 3+ 19- 59+	2+ 3+  0 -1 -3  1 -3 19-
Curve Equation t 127794d1 [1,1,0,-22106925,-51860309859] 1 127794d2 [1,1,0,169584075,549066438693] 1
127794e (1 curve)	0	2+ 3+ 19- 59+	2+ 3+  1  2  5  5  8 19-
Curve Equation t 127794e1 [1,1,0,-703410312,-7180900955328] 1
127794f (1 curve)	0	2+ 3+ 19- 59+	2+ 3+ -1  2  5 -5  4 19-
Curve Equation t 127794f1 [1,1,0,202,84] 1
127794g (1 curve)	0	2+ 3+ 19- 59+	2+ 3+  2  2  2  1 -5 19-
Curve Equation t 127794g1 [1,1,0,-3674,-57258] 1
127794h (2 curves)	0	2+ 3+ 19- 59+	2+ 3+ -3  2 -3  1  0 19-
Curve Equation t 127794h1 [1,1,0,-56091180854,5113143821230164] 1 127794h2 [1,1,0,-4543385665334,3727496962525519956] 1
127794i (1 curve)	0	2+ 3+ 19- 59+	2+ 3+  4 -1 -4 -1  2 19-
Curve Equation t 127794i1 [1,1,0,202,27549780] 1
127794j (1 curve)	1	2+ 3+ 19- 59-	2+ 3+  0  0  0 -5 -3 19-
Curve Equation t Generators 127794j1 [1,1,0,-805,-2291] 1 [-5:43:1]
127794k (2 curves)	1	2+ 3+ 19- 59-	2+ 3+  0  4  0 -4 -2 19-
Curve Equation t Generators 127794k1 [1,1,0,-1430650,653730196] 2 [252315:-41168:343] 127794k2 [1,1,0,-506490,1487877012] 2 [879:41067:1]
127794l (2 curves)	1	2+ 3+ 19- 59-	2+ 3+ -2  4  4 -4 -2 19-
Curve Equation t Generators 127794l1 [1,1,0,-10476,-247296] 2 [3836:235620:1] 127794l2 [1,1,0,-147656,-21894300] 2 [473:3554:1]
127794m (1 curve)	1	2+ 3+ 19- 59-	2+ 3+  4 -2  4  5 -5 19-
Curve Equation t Generators 127794m1 [1,1,0,-748,7570] 1 [15:-5:1]
127794n (2 curves)	0	2+ 3- 19+ 59+	2+ 3-  0 -1  0  5  6 19+
Curve Equation t 127794n1 [1,0,1,276879,-201950816] 3 127794n2 [1,0,1,-19460796,-33072285254] 1
127794o (2 curves)	0	2+ 3- 19+ 59+	2+ 3-  0  2  6 -1 -3 19+
Curve Equation t 127794o1 [1,0,1,-1091,12800] 3 127794o2 [1,0,1,-17336,-877426] 1
127794p (1 curve)	0	2+ 3- 19+ 59+	2+ 3-  0  4  0 -5  1 19+
Curve Equation t 127794p1 [1,0,1,-11556701,15120676856] 1
127794q (1 curve)	0	2+ 3- 19+ 59+	2+ 3-  3 -2  3  7  4 19+
Curve Equation t 127794q1 [1,0,1,76163,-56753728] 1
127794r (1 curve)	1	2+ 3- 19+ 59-	2+ 3- -2  2  2  1 -1 19+
Curve Equation t Generators 127794r1 [1,0,1,-1452,-21134] 1 [-22:27:1]
127794s (1 curve)	1	2+ 3- 19- 59+	2+ 3- -2  3  1 -1 -3 19-
Curve Equation t Generators 127794s1 [1,0,1,-216247,50911634] 1 [676:14282:1]
127794t (1 curve)	1	2+ 3- 19- 59+	2+ 3- -2 -5 -3  7 -3 19-
Curve Equation t Generators 127794t1 [1,0,1,-932832,-347841746] 1 [8015196:528950639:1728]
127794u (1 curve)	1	2+ 3- 19- 59+	2+ 3- -4 -1 -3  1 -7 19-
Curve Equation t Generators 127794u1 [1,0,1,-1813,-91168] 1 [144:1552:1]
127794v (2 curves)	0	2+ 3- 19- 59-	2+ 3-  0  0 -2  2 -6 19-
Curve Equation t 127794v1 [1,0,1,-12762441,-17531471348] 2 127794v2 [1,0,1,-16170281,-7431996724] 2
127794w (2 curves)	0	2+ 3- 19- 59-	2+ 3-  0  0  4 -4  6 19-
Curve Equation t 127794w1 [1,0,1,-1091,10634] 2 127794w2 [1,0,1,2519,66950] 2
127794x (1 curve)	2	2+ 3- 19- 59-	2+ 3-  2 -4  0 -5  1 19-
Curve Equation t Generators 127794x1 [1,0,1,-65,-196] 1 [-42:35:8]&[-4:3:1]
127794y (2 curves)	0	2+ 3- 19- 59-	2+ 3-  4  0 -4  0 -2 19-
Curve Equation t 127794y1 [1,0,1,-8487479,9488736794] 2 127794y2 [1,0,1,-4790839,17806176794] 2
127794z (2 curves)	0	2+ 3- 19- 59-	2+ 3- -4  0 -4  4  6 19-
Curve Equation t 127794z1 [1,0,1,-41617893,-103341893348] 2 127794z2 [1,0,1,-40314683,-110115978928] 2
127794ba (1 curve)	0	2- 3+ 19+ 59+	2- 3+  2 -4  0  5  1 19+
Curve Equation t 127794ba1 [1,1,1,-23292,1296069] 1
127794bb (4 curves)	1	2- 3+ 19- 59+	2- 3+ -2  0  0 -2  2 19-
Curve Equation t Generators 127794bb1 [1,1,1,-199099,4058441] 4 [-287:6280:1] 127794bb2 [1,1,1,-2047419,-1123416759] 4 [-799:2184:1] 127794bb3 [1,1,1,-949979,-2322260215] 2 [307659:32543192:27] 127794bb4 [1,1,1,-32717979,-72046019703] 2 [-141604085:72458658:42875]
127794bc (1 curve)	1	2- 3+ 19- 59+	2- 3+ -2  2  2 -1 -1 19-
Curve Equation t Generators 127794bc1 [1,1,1,-523999,143908397] 1 [341:2070:1]
127794bd (2 curves)	0	2- 3+ 19- 59-	2- 3+  0 -1  0 -5  6 19-
Curve Equation t 127794bd1 [1,1,1,99953492,1385380552217] 1 127794bd2 [1,1,1,-7025347183,226828753861109] 1
127794be (2 curves)	2	2- 3+ 19- 59-	2- 3+  0 -1  3 -5 -3 19-
Curve Equation t Generators 127794be1 [1,1,1,3422,60005] 1 [-122:597:8]&[1390:18795:8] 127794be2 [1,1,1,-77803,8416433] 1 [169:276:1]&[1222:2217:8]
127794bf (2 curves)	0	2- 3+ 19- 59-	2- 3+  0  2  6  1 -3 19-
Curve Equation t 127794bf1 [1,1,1,-393678,-88584267] 1 127794bf2 [1,1,1,-6258123,6005746977] 1
127794bg (1 curve)	0	2- 3+ 19- 59-	2- 3+  0  4  0  5  1 19-
Curve Equation t 127794bg1 [1,1,1,-32013,-2217981] 1
127794bh (1 curve)	0	2- 3+ 19- 59-	2- 3+  3 -2  3 -7  4 19-
Curve Equation t 127794bh1 [1,1,1,211,8363] 1
127794bi (1 curve)	1	2- 3- 19+ 59+	2- 3-  0  0  0  5 -3 19+
Curve Equation t Generators 127794bi1 [1,0,0,-290793,13388121] 1 [30:2151:1]
127794bj (1 curve)	1	2- 3- 19+ 59+	2- 3-  4 -2  4 -5 -5 19+
Curve Equation t Generators 127794bj1 [1,0,0,-270216,-54083862] 1 [1037190:27440133:1000]
127794bk (1 curve)	0	2- 3- 19+ 59-	2- 3-  1  2  5 -5  8 19+
Curve Equation t 127794bk1 [1,0,0,-1948505,1046726073] 1
127794bl (1 curve)	0	2- 3- 19+ 59-	2- 3- -1  2  5  5  4 19+
Curve Equation t 127794bl1 [1,0,0,72734,6212] 1
127794bm (2 curves)	0	2- 3- 19+ 59-	2- 3-  2  0  2  2 -2 19+
Curve Equation t 127794bm1 [1,0,0,-57587,1700385] 2 127794bm2 [1,0,0,216773,13278377] 2
127794bn (1 curve)	0	2- 3- 19+ 59-	2- 3-  2  2  2 -1 -5 19+
Curve Equation t 127794bn1 [1,0,0,-1326502,382121102] 1
127794bo (2 curves)	0	2- 3- 19+ 59-	2- 3- -3  2 -3 -1  0 19+
Curve Equation t 127794bo1 [1,0,0,-20248916288482,-35071215461148002236] 3 127794bo2 [1,0,0,-1640162225185762,-25566914787260342863804] 1
127794bp (1 curve)	0	2- 3- 19+ 59-	2- 3-  4 -1 -4  1  2 19+
Curve Equation t 127794bp1 [1,0,0,72734,-188963358652] 1
127794bq (4 curves)	0	2- 3- 19- 59+	2- 3-  2  0  4  6  2 19-
Curve Equation t 127794bq1 [1,0,0,-12462,531828] 2 127794bq2 [1,0,0,-19682,-156960] 4 127794bq3 [1,0,0,77788,-1229130] 2 127794bq4 [1,0,0,-232672,-43138342] 2
127794br (4 curves)	0	2- 3- 19- 59+	2- 3- -2  0  4  2 -6 19-
Curve Equation t 127794br1 [1,0,0,-973444,141025808] 2 127794br2 [1,0,0,-8366724,-9217388016] 4 127794br3 [1,0,0,-1551044,-23796127536] 2 127794br4 [1,0,0,-133474884,-593547560112] 2
127794bs (1 curve)	2	2- 3- 19- 59+	2- 3- -2 -2 -6 -5  3 19-
Curve Equation t Generators 127794bs1 [1,0,0,-5109,95265] 1 [66:183:1]&[-42:507:1]
127794bt (1 curve)	1	2- 3- 19- 59-	2- 3-  0 -1 -5 -1  1 19-
Curve Equation t Generators 127794bt1 [1,0,0,-258303,-50552199] 1 [600:2949:1]
127794bu (1 curve)	1	2- 3- 19- 59-	2- 3-  0 -2  0  7  3 19-
Curve Equation t Generators 127794bu1 [1,0,0,-283,-1711] 1 [-10:17:1]
127794bv (2 curves)	1	2- 3- 19- 59-	2- 3-  0  4  0  4  6 19-
Curve Equation t Generators 127794bv1 [1,0,0,-42462813,36123146673] 2 [-333453198:-47102782835:132651] 127794bv2 [1,0,0,158599747,279931606929] 2 [8949167668445370:-1540602148665044459:953635600107]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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