Cremona's table of elliptic curves

8700 = 2² · 3 · 5² · 29

Class	r	Atkin-Lehner	Eigenvalues
8700a (1 curve)	0	2- 3+ 5+ 29+	2- 3+ 5+  1 -2 -5 -6  1
Curve Equation t 8700a1 [0,-1,0,-68333,-32255463] 1
8700b (2 curves)	0	2- 3+ 5+ 29+	2- 3+ 5+  1 -3  1 -3 -4
Curve Equation t 8700b1 [0,-1,0,1342,88437] 1 8700b2 [0,-1,0,-12158,-2490063] 1
8700c (2 curves)	0	2- 3+ 5+ 29+	2- 3+ 5+ -2  4 -2  0  4
Curve Equation t 8700c1 [0,-1,0,-2109133,-1178270738] 2 8700c2 [0,-1,0,-2105508,-1182526488] 2
8700d (1 curve)	0	2- 3+ 5+ 29+	2- 3+ 5+  3 -1  3  5  4
Curve Equation t 8700d1 [0,-1,0,-1258,18637] 1
8700e (1 curve)	0	2- 3+ 5+ 29+	2- 3+ 5+  5  5  5 -7  0
Curve Equation t 8700e1 [0,-1,0,-758,-7863] 1
8700f (1 curve)	1	2- 3+ 5+ 29-	2- 3+ 5+ -1  1  3  3  2
Curve Equation t Generators 8700f1 [0,-1,0,-58,-263] 1 [12:25:1]
8700g (1 curve)	1	2- 3+ 5+ 29-	2- 3+ 5+  3 -3 -1  3 -6
Curve Equation t Generators 8700g1 [0,-1,0,-4758,137637] 1 [47:125:1]
8700h (1 curve)	1	2- 3+ 5+ 29-	2- 3+ 5+ -3 -6 -1  0  3
Curve Equation t Generators 8700h1 [0,-1,0,27,177] 1 [8:29:1]
8700i (1 curve)	1	2- 3+ 5- 29+	2- 3+ 5-  2  5  0 -4  0
Curve Equation t Generators 8700i1 [0,-1,0,-14333,726537] 1 [67:250:1]
8700j (1 curve)	0	2- 3+ 5- 29-	2- 3+ 5-  2 -1  4  0  8
Curve Equation t 8700j1 [0,-1,0,227,-58583] 1
8700k (1 curve)	1	2- 3- 5+ 29+	2- 3- 5+ -1  3 -5  1  6
Curve Equation t Generators 8700k1 [0,1,0,-2358,491913] 1 [18:-675:1]
8700l (2 curves)	1	2- 3- 5+ 29+	2- 3- 5+ -2 -4 -2  8 -4
Curve Equation t Generators 8700l1 [0,1,0,-3133,64988] 2 [173:2175:1] 8700l2 [0,1,0,492,209988] 2 [-12:450:1]
8700m (2 curves)	0	2- 3- 5+ 29-	2- 3- 5+  0 -6 -6 -4  2
Curve Equation t 8700m1 [0,1,0,-18533,-966312] 2 8700m2 [0,1,0,-2908,-2528812] 2
8700n (1 curve)	0	2- 3- 5+ 29-	2- 3- 5+  2  3  2  4  6
Curve Equation t 8700n1 [0,1,0,-133,-2137] 1
8700o (1 curve)	0	2- 3- 5+ 29-	2- 3- 5+  3 -3  3 -1 -4
Curve Equation t 8700o1 [0,1,0,42,213] 1
8700p (1 curve)	0	2- 3- 5+ 29-	2- 3- 5+ -3  3 -3 -1 -4
Curve Equation t 8700p1 [0,1,0,-5531758,-5039935387] 1
8700q (1 curve)	0	2- 3- 5- 29+	2- 3- 5- -1 -2  5  6  1
Curve Equation t 8700q1 [0,1,0,-2733,-259137] 1
8700r (1 curve)	0	2- 3- 5- 29+	2- 3- 5- -2  5  0  4  0
Curve Equation t 8700r1 [0,1,0,-573,5583] 1
8700s (1 curve)	1	2- 3- 5- 29-	2- 3- 5- -2 -1 -4  0  8
Curve Equation t Generators 8700s1 [0,1,0,5667,-7311537] 1 [258:3375:1]
8700t (1 curve)	1	2- 3- 5- 29-	2- 3- 5-  3 -6  1  0  3
Curve Equation t Generators 8700t1 [0,1,0,667,23463] 1 [9:174:1]

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