Cremona's table of elliptic curves

32480 = 2⁵ · 5 · 7 · 29

Class	r	Atkin-Lehner	Eigenvalues
32480a (1 curve)	1	2+ 5+ 7- 29-	2+  1 5+ 7-  4 -4 -6  3
Curve Equation t Generators 32480a1 [0,1,0,259,7595] 1 [77:700:1]
32480b (2 curves)	0	2+ 5- 7+ 29+	2+  2 5- 7+ -2 -2  2  4
Curve Equation t 32480b1 [0,-1,0,-50,-100] 2 32480b2 [0,-1,0,-225,1265] 2
32480c (2 curves)	2	2+ 5- 7+ 29+	2+ -2 5- 7+ -2 -6 -2  2
Curve Equation t Generators 32480c1 [0,1,0,-950,10948] 2 [-32:98:1]&[-19:150:1] 32480c2 [0,1,0,-705,16975] 2 [15:-100:1]&[-25:140:1]
32480d (2 curves)	1	2+ 5- 7- 29+	2+ -2 5- 7-  2 -2  2 -4
Curve Equation t Generators 32480d1 [0,1,0,-50,100] 2 [-2:14:1] 32480d2 [0,1,0,-225,-1265] 2 [-7:4:1]
32480e (2 curves)	1	2- 5+ 7+ 29-	2-  0 5+ 7+ -2 -2  0  2
Curve Equation t Generators 32480e1 [0,0,0,-1853,30648] 2 [23:14:1] 32480e2 [0,0,0,-1228,51648] 2 [-19:261:1]
32480f (1 curve)	1	2- 5+ 7+ 29-	2- -1 5+ 7+ -4 -4 -6 -3
Curve Equation t Generators 32480f1 [0,-1,0,259,-7595] 1 [23:100:1]
32480g (2 curves)	0	2- 5+ 7- 29-	2-  0 5+ 7-  2 -2  0 -2
Curve Equation t 32480g1 [0,0,0,-1853,-30648] 2 32480g2 [0,0,0,-1228,-51648] 2
32480h (2 curves)	1	2- 5- 7+ 29+	2- -2 5- 7+ -6 -2  2  0
Curve Equation t Generators 32480h1 [0,1,0,-7330,234828] 2 [26:-250:1] 32480h2 [0,1,0,-116705,15306703] 2 [201:100:1]
32480i (1 curve)	0	2- 5- 7+ 29-	2-  3 5- 7+  0  4  2  1
Curve Equation t 32480i1 [0,0,0,-5752,-170896] 1
32480j (2 curves)	0	2- 5- 7- 29+	2-  2 5- 7-  2 -6 -2 -2
Curve Equation t 32480j1 [0,-1,0,-950,-10948] 2 32480j2 [0,-1,0,-705,-16975] 2
32480k (2 curves)	0	2- 5- 7- 29+	2-  2 5- 7-  6 -2  2  0
Curve Equation t 32480k1 [0,-1,0,-7330,-234828] 2 32480k2 [0,-1,0,-116705,-15306703] 2
32480l (1 curve)	1	2- 5- 7- 29-	2- -3 5- 7-  0  4  2 -1
Curve Equation t Generators 32480l1 [0,0,0,-5752,170896] 1 [-48:580:1]

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