Cremona's table of elliptic curves

27040 = 2⁵ · 5 · 13²

Class	r	Atkin-Lehner	Eigenvalues
27040a (1 curve)	1	2+ 5+ 13+	2+  0 5+ -1  5 13+  4  7
Curve Equation t Generators 27040a1 [0,0,0,2197,57122] 1 [-12166:253508:1331]
27040b (4 curves)	1	2+ 5+ 13+	2+  0 5+  4  4 13+  2 -4
Curve Equation t Generators 27040b1 [0,0,0,-36673,-2689128] 4 [-43622319100:-35918871702:381078125] 27040b2 [0,0,0,-15548,-5764928] 2 [5230628:169084500:4913] 27040b3 [0,0,0,-58643,909558] 2 [103025:11301706:15625] 27040b4 [0,0,0,-585923,-172627078] 2 [-394325469525355266723650:-2010796615124625687078:892298437348571421875]
27040c (4 curves)	1	2+ 5+ 13+	2+  0 5+ -4 -4 13+  2  4
Curve Equation t Generators 27040c1 [0,0,0,-36673,2689128] 4 [68:714:1] 27040c2 [0,0,0,-15548,5764928] 2 [-91:2535:1] 27040c3 [0,0,0,-58643,-909558] 2 [-7434:203286:343] 27040c4 [0,0,0,-585923,172627078] 2 [273:5746:1]
27040d (1 curve)	1	2+ 5+ 13+	2+  2 5+ -5  1 13+ -2  7
Curve Equation t Generators 27040d1 [0,-1,0,-576,5576] 1 [-7:96:1]
27040e (2 curves)	0	2+ 5+ 13-	2+  0 5+  0  2 13- -2  2
Curve Equation t 27040e1 [0,0,0,-533,-4732] 2 27040e2 [0,0,0,-403,-7098] 2
27040f (2 curves)	0	2+ 5+ 13-	2+  2 5+  4  4 13-  6  4
Curve Equation t 27040f1 [0,-1,0,-5126,-108304] 2 27040f2 [0,-1,0,-27096,1631720] 2
27040g (2 curves)	0	2+ 5+ 13-	2+ -2 5+ -4 -4 13-  6 -4
Curve Equation t 27040g1 [0,1,0,-5126,108304] 2 27040g2 [0,1,0,-27096,-1631720] 2
27040h (1 curve)	0	2+ 5- 13+	2+  0 5- -1  5 13+  4  7
Curve Equation t 27040h1 [0,0,0,13,-26] 1
27040i (2 curves)	0	2+ 5- 13+	2+  0 5-  2  2 13+ -2 -2
Curve Equation t 27040i1 [0,0,0,-73177,-7619196] 2 27040i2 [0,0,0,-72332,-7803744] 2
27040j (2 curves)	0	2+ 5- 13+	2+  2 5- -2 -4 13+  2  8
Curve Equation t 27040j1 [0,-1,0,-1070,-12988] 2 27040j2 [0,-1,0,-225,-33775] 2
27040k (2 curves)	0	2+ 5- 13+	2+  2 5- -4 -6 13+ -6 -6
Curve Equation t 27040k1 [0,-1,0,-14590,-673440] 2 27040k2 [0,-1,0,-13745,-755743] 2
27040l (2 curves)	0	2+ 5- 13+	2+ -2 5-  4  6 13+ -6  6
Curve Equation t 27040l1 [0,1,0,-14590,673440] 2 27040l2 [0,1,0,-13745,755743] 2
27040m (1 curve)	0	2+ 5- 13+	2+ -2 5- -5  1 13+ -2  7
Curve Equation t 27040m1 [0,1,0,-97400,-11860952] 1
27040n (2 curves)	1	2+ 5- 13-	2+  0 5-  0  2 13- -2  2
Curve Equation t Generators 27040n1 [0,0,0,-90077,10396204] 2 [168:70:1] 27040n2 [0,0,0,-68107,15594306] 2 [4562:307650:1]
27040o (1 curve)	0	2- 5+ 13+	2-  0 5+  1 -5 13+  4 -7
Curve Equation t 27040o1 [0,0,0,2197,-57122] 1
27040p (1 curve)	0	2- 5+ 13+	2- -2 5+  5 -1 13+ -2 -7
Curve Equation t 27040p1 [0,1,0,-576,-5576] 1
27040q (2 curves)	1	2- 5+ 13-	2-  0 5+  0 -2 13- -2 -2
Curve Equation t Generators 27040q1 [0,0,0,-533,4732] 2 [12:8:1] 27040q2 [0,0,0,-403,7098] 2 [38:216:1]
27040r (1 curve)	1	2- 5- 13+	2-  0 5-  1 -5 13+  4 -7
Curve Equation t Generators 27040r1 [0,0,0,13,26] 1 [10:34:1]
27040s (2 curves)	1	2- 5- 13+	2-  0 5- -2 -2 13+ -2  2
Curve Equation t Generators 27040s1 [0,0,0,-73177,7619196] 2 [152:90:1] 27040s2 [0,0,0,-72332,7803744] 2 [-52:3380:1]
27040t (1 curve)	1	2- 5- 13+	2-  2 5-  5 -1 13+ -2 -7
Curve Equation t Generators 27040t1 [0,-1,0,-97400,11860952] 1 [229:1230:1]
27040u (2 curves)	1	2- 5- 13+	2- -2 5-  2  4 13+  2 -8
Curve Equation t Generators 27040u1 [0,1,0,-1070,12988] 2 [13:38:1] 27040u2 [0,1,0,-225,33775] 2 [-22:169:1]
27040v (2 curves)	0	2- 5- 13-	2-  0 5-  0 -2 13- -2 -2
Curve Equation t 27040v1 [0,0,0,-90077,-10396204] 2 27040v2 [0,0,0,-68107,-15594306] 2
27040w (2 curves)	0	2- 5- 13-	2-  2 5- -4 -4 13-  6 -4
Curve Equation t 27040w1 [0,-1,0,-30,-40] 2 27040w2 [0,-1,0,-160,792] 2
27040x (2 curves)	0	2- 5- 13-	2- -2 5-  4  4 13-  6  4
Curve Equation t 27040x1 [0,1,0,-30,40] 2 27040x2 [0,1,0,-160,-792] 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