Cremona's table of elliptic curves

34770 = 2 · 3 · 5 · 19 · 61

Class	r	Atkin-Lehner	Eigenvalues
34770a (2 curves)	1	2+ 3+ 5+ 19+ 61+	2+ 3+ 5+ -2  0  2 -4 19+
Curve Equation t Generators 34770a1 [1,1,0,-1283,17997] 2 [19:-40:1] 34770a2 [1,1,0,-20803,1146253] 2 [78:37:1]
34770b (2 curves)	2	2+ 3+ 5+ 19- 61+	2+ 3+ 5+ -2 -2  2 -2 19-
Curve Equation t Generators 34770b1 [1,1,0,32,-848] 2 [12:32:1]&[108:1076:1] 34770b2 [1,1,0,-1188,-15732] 2 [-22:30:1]&[-18:24:1]
34770c (2 curves)	2	2+ 3+ 5+ 19- 61+	2+ 3+ 5+ -4 -2 -4 -6 19-
Curve Equation t Generators 34770c1 [1,1,0,-158,-12] 2 [-13:14:1]&[-7:32:1] 34770c2 [1,1,0,-1678,-27068] 2 [-24:22:1]&[-23:16:1]
34770d (1 curve)	1	2+ 3+ 5+ 19- 61-	2+ 3+ 5+  0 -5  4 -3 19-
Curve Equation t Generators 34770d1 [1,1,0,302,-5342] 1 [13:25:1]
34770e (4 curves)	1	2+ 3+ 5- 19+ 61-	2+ 3+ 5- -4  0 -2  2 19+
Curve Equation t Generators 34770e1 [1,1,0,-1377,148149] 2 [18:-369:1] 34770e2 [1,1,0,-51377,4438149] 4 [-167:2981:1] 34770e3 [1,1,0,-81877,-1484951] 2 [-187:2801:1] 34770e4 [1,1,0,-820877,285921249] 4 [523:-249:1]
34770f (2 curves)	1	2+ 3+ 5- 19- 61+	2+ 3+ 5-  0  4 -6 -6 19-
Curve Equation t Generators 34770f1 [1,1,0,-4342,-116204] 2 [137:1304:1] 34770f2 [1,1,0,-70222,-7191716] 2 [353:3311:1]
34770g (2 curves)	1	2+ 3+ 5- 19- 61+	2+ 3+ 5- -2 -2  4  6 19-
Curve Equation t Generators 34770g1 [1,1,0,-94037,-11229411] 2 [31811830:296099589:79507] 34770g2 [1,1,0,-1508017,-713411879] 2 [1602:30589:1]
34770h (2 curves)	0	2+ 3- 5+ 19+ 61+	2+ 3- 5+ -2  4 -2  4 19+
Curve Equation t 34770h1 [1,0,1,-9689,-2228164] 2 34770h2 [1,0,1,-322009,-70064068] 2
34770i (1 curve)	1	2+ 3- 5+ 19+ 61-	2+ 3- 5+  0  1  2 -2 19+
Curve Equation t Generators 34770i1 [1,0,1,-2374,44312] 1 [28:-16:1]
34770j (4 curves)	1	2+ 3- 5+ 19+ 61-	2+ 3- 5+  0  4  2 -2 19+
Curve Equation t Generators 34770j1 [1,0,1,-4948874,-4234270084] 2 [-1254:901:1] 34770j2 [1,0,1,-6139594,-2042392708] 4 [-347:6977:1] 34770j3 [1,0,1,22835406,-15788132708] 2 [724028:615725727:1] 34770j4 [1,0,1,-54166114,151988262236] 2 [4594:8192:1]
34770k (2 curves)	0	2+ 3- 5+ 19- 61-	2+ 3- 5+ -1  0  5  0 19-
Curve Equation t 34770k1 [1,0,1,701,332] 3 34770k2 [1,0,1,-9364,-377014] 1
34770l (1 curve)	1	2+ 3- 5- 19+ 61+	2+ 3- 5-  1  0  1  4 19+
Curve Equation t Generators 34770l1 [1,0,1,397,-160114] 1 [497380:2350557:8000]
34770m (1 curve)	1	2+ 3- 5- 19+ 61+	2+ 3- 5- -4  5  6 -6 19+
Curve Equation t Generators 34770m1 [1,0,1,-90066368,-398251802194] 1 [17760:-1907318:1]
34770n (4 curves)	0	2+ 3- 5- 19+ 61-	2+ 3- 5-  4  0  6  2 19+
Curve Equation t 34770n1 [1,0,1,4067,-12232] 2 34770n2 [1,0,1,-16413,-102344] 4 34770n3 [1,0,1,-168413,26467256] 4 34770n4 [1,0,1,-192093,-32357192] 2
34770o (2 curves)	0	2+ 3- 5- 19- 61+	2+ 3- 5- -2  6 -2 -2 19-
Curve Equation t 34770o1 [1,0,1,-5093,-150832] 2 34770o2 [1,0,1,-83173,-9239344] 2
34770p (2 curves)	1	2+ 3- 5- 19- 61-	2+ 3- 5- -4 -6 -2  8 19-
Curve Equation t Generators 34770p1 [1,0,1,-60443,5713958] 2 [159:-440:1] 34770p2 [1,0,1,-65323,4736006] 2 [-5:-2248:1]
34770q (2 curves)	0	2- 3+ 5+ 19+ 61+	2- 3+ 5+  0 -2 -4  2 19+
Curve Equation t 34770q1 [1,1,1,-212896,-37898047] 2 34770q2 [1,1,1,-214416,-37331391] 2
34770r (2 curves)	0	2- 3+ 5+ 19+ 61+	2- 3+ 5+  2  0  2  0 19+
Curve Equation t 34770r1 [1,1,1,79,-961] 2 34770r2 [1,1,1,-1141,-14137] 2
34770s (2 curves)	0	2- 3+ 5+ 19+ 61+	2- 3+ 5+  4  6 -4  2 19+
Curve Equation t 34770s1 [1,1,1,-347621,-77647957] 2 34770s2 [1,1,1,-736741,127340459] 2
34770t (1 curve)	1	2- 3+ 5+ 19+ 61-	2- 3+ 5+  0 -1  4  5 19+
Curve Equation t Generators 34770t1 [1,1,1,-227421,-41916621] 1 [823:17732:1]
34770u (1 curve)	0	2- 3+ 5- 19- 61+	2- 3+ 5-  3  4  3  0 19-
Curve Equation t 34770u1 [1,1,1,-35025,-184762833] 1
34770v (2 curves)	1	2- 3+ 5- 19- 61-	2- 3+ 5- -2  4 -2 -2 19-
Curve Equation t Generators 34770v1 [1,1,1,70,-73] 2 [46:163:8] 34770v2 [1,1,1,-310,-985] 2 [-7:33:1]
34770w (1 curve)	1	2- 3- 5+ 19+ 61+	2- 3- 5+  2  1  2 -4 19+
Curve Equation t Generators 34770w1 [1,0,0,19,-15] 1 [6:15:1]
34770x (1 curve)	1	2- 3- 5+ 19+ 61+	2- 3- 5+  2  1 -2  0 19+
Curve Equation t Generators 34770x1 [1,0,0,-1341,28371] 1 [1941434:24790955:10648]
34770y (2 curves)	1	2- 3- 5+ 19+ 61+	2- 3- 5+  2 -4 -2  0 19+
Curve Equation t Generators 34770y1 [1,0,0,718669,248541921] 2 [-242:7897:1] 34770y2 [1,0,0,-4278451,2388308705] 2 [-2122:44801:1]
34770z (2 curves)	1	2- 3- 5+ 19+ 61+	2- 3- 5+ -4 -2 -4  2 19+
Curve Equation t Generators 34770z1 [1,0,0,-286731901,-1856014416655] 2 [-9274:78995:1] 34770z2 [1,0,0,-484819821,1036425773601] 2 [-3744:1674927:1]
34770ba (4 curves)	1	2- 3- 5+ 19- 61-	2- 3- 5+ -4 -6  2  0 19-
Curve Equation t Generators 34770ba1 [1,0,0,-97756,11749136] 6 [-304:3812:1] 34770ba2 [1,0,0,-117276,6716880] 6 [-312:3756:1] 34770ba3 [1,0,0,-321196,-56680960] 2 [-242:2746:1] 34770ba4 [1,0,0,-4860816,-4125088404] 2 [5004:308718:1]
34770bb (4 curves)	1	2- 3- 5- 19+ 61-	2- 3- 5-  0 -4  2  2 19+
Curve Equation t Generators 34770bb1 [1,0,0,-4625,-93015] 2 [-38:187:1] 34770bb2 [1,0,0,-25105,1451177] 4 [-106:1763:1] 34770bb3 [1,0,0,18095,5935337] 2 [-58:2195:1] 34770bb4 [1,0,0,-395985,95877225] 4 [60:8475:1]
34770bc (2 curves)	1	2- 3- 5- 19+ 61-	2- 3- 5-  2  0 -2 -6 19+
Curve Equation t Generators 34770bc1 [1,0,0,-1425,-803943] 2 [114:663:1] 34770bc2 [1,0,0,-138605,-19652475] 2 [-230:385:1]
34770bd (2 curves)	1	2- 3- 5- 19+ 61-	2- 3- 5- -2  0 -2 -6 19+
Curve Equation t Generators 34770bd1 [1,0,0,-103670,12879012] 2 [204:378:1] 34770bd2 [1,0,0,-1660150,823182500] 2 [740:-550:1]
34770be (2 curves)	1	2- 3- 5- 19+ 61-	2- 3- 5- -2 -3 -6  8 19+
Curve Equation t Generators 34770be1 [1,0,0,-510,258372] 5 [-66:108:1] 34770be2 [1,0,0,-241110,-51570708] 1 [602:4340:1]
34770bf (1 curve)	1	2- 3- 5- 19+ 61-	2- 3- 5- -2  5 -2  4 19+
Curve Equation t Generators 34770bf1 [1,0,0,-3630,-85770] 1 [606:1893:8]
34770bg (1 curve)	1	2- 3- 5- 19+ 61-	2- 3- 5- -5  0  1  0 19+
Curve Equation t Generators 34770bg1 [1,0,0,-32425,-26494375] 1 [1100:35075:1]

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

Part of Computational Number Theory
Back to Tables and computations