Cremona's table of elliptic curves

2178 = 2 · 3² · 11²

Class	r	Atkin-Lehner	Eigenvalues
2178a (4 curves)	0	2+ 3+ 11-	2+ 3+  0 -2 11- -2  6 -2
Curve Equation t 2178a1 [1,-1,0,-7827,-255051] 2 2178a2 [1,-1,0,-123987,-16773003] 2 2178a3 [1,-1,0,-94947,11208005] 2 2178a4 [1,-1,0,-160287,-6133231] 2
2178b (2 curves)	0	2+ 3- 11+	2+ 3-  0  0 11+  6  6  6
Curve Equation t 2178b1 [1,-1,0,-38682,-1293836] 2 2178b2 [1,-1,0,-517842,-143221028] 2
2178c (4 curves)	1	2+ 3- 11-	2+ 3-  0 -2 11-  4 -6  4
Curve Equation t Generators 2178c1 [1,-1,0,-6012,170748] 2 [-63:576:1] 2178c2 [1,-1,0,4878,713070] 2 [-41:686:1] 2178c3 [1,-1,0,-87687,-9934083] 2 [1246:41969:1] 2178c4 [1,-1,0,-44127,-19839627] 2 [4974:108591:8]
2178d (1 curve)	1	2+ 3- 11-	2+ 3-  1  4 11- -5 -7  0
Curve Equation t Generators 2178d1 [1,-1,0,-14724,771876] 1 [-30:1104:1]
2178e (1 curve)	1	2+ 3- 11-	2+ 3-  1 -4 11-  3  1 -8
Curve Equation t Generators 2178e1 [1,-1,0,1611,-38219] 1 [26:131:1]
2178f (2 curves)	1	2+ 3- 11-	2+ 3-  3 -2 11- -5  3 -2
Curve Equation t Generators 2178f1 [1,-1,0,27,-27] 1 [6:15:1] 2178f2 [1,-1,0,-468,-3888] 1 [72:540:1]
2178g (4 curves)	1	2- 3+ 11-	2- 3+  0 -2 11- -2 -6 -2
Curve Equation t Generators 2178g1 [1,-1,1,-10550,-411595] 2 [531:11713:1] 2178g2 [1,-1,1,-17810,233093] 2 [201:2077:1] 2178g3 [1,-1,1,-70445,6956821] 2 [47:1912:1] 2178g4 [1,-1,1,-1115885,453986965] 2 [641:1010:1]
2178h (2 curves)	1	2- 3- 11+	2- 3-  0  0 11+ -6 -6 -6
Curve Equation t Generators 2178h1 [1,-1,1,-320,1059] 2 [-7:57:1] 2178h2 [1,-1,1,-4280,108771] 2 [47:75:1]
2178i (1 curve)	0	2- 3- 11-	2- 3-  1  4 11- -3 -1  8
Curve Equation t 2178i1 [1,-1,1,194908,50284743] 1
2178j (1 curve)	0	2- 3- 11-	2- 3-  1 -4 11-  5  7  0
Curve Equation t 2178j1 [1,-1,1,-122,-547] 1
2178k (4 curves)	0	2- 3- 11-	2- 3- -2  4 11-  6  2 -4
Curve Equation t 2178k1 [1,-1,1,-2201,1257] 4 2178k2 [1,-1,1,-23981,-1418799] 4 2178k3 [1,-1,1,-383351,-91261299] 2 2178k4 [1,-1,1,-13091,-2721243] 2
2178l (2 curves)	0	2- 3- 11-	2- 3-  3  2 11-  5 -3  2
Curve Equation t 2178l1 [1,-1,1,3244,26183] 1 2178l2 [1,-1,1,-56651,5344859] 3
2178m (4 curves)	0	2- 3- 11-	2- 3-  4  2 11- -4 -2  0
Curve Equation t 2178m1 [1,-1,1,-49028,3057959] 2 2178m2 [1,-1,1,125212,19784999] 2 2178m3 [1,-1,1,-10960808,-13964543161] 2 2178m4 [1,-1,1,-10949918,-13993684801] 2

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