Cremona's table of elliptic curves

88450 = 2 · 5² · 29 · 61

Class	r	Atkin-Lehner	Eigenvalues
88450a (1 curve)	1	2+ 5+ 29+ 61+	2+ -2 5+ -1  3 -5  4  0
Curve Equation t Generators 88450a1 [1,0,1,-33501,9920648] 1 [-157:3442:1]
88450b (1 curve)	2	2+ 5+ 29+ 61-	2+  0 5+ -1 -2 -5  0 -5
Curve Equation t Generators 88450b1 [1,-1,0,-3692,87216] 1 [39:-57:1]&[-61:318:1]
88450c (2 curves)	0	2+ 5+ 29+ 61-	2+  2 5+  1 -3  4  3  2
Curve Equation t 88450c1 [1,1,0,-1285,17205] 1 88450c2 [1,1,0,-935,27215] 1
88450d (1 curve)	2	2+ 5+ 29+ 61-	2+ -3 5+ -4  1 -2  3  7
Curve Equation t Generators 88450d1 [1,-1,0,-157,-929] 1 [134:177:8]&[93:838:1]
88450e (1 curve)	0	2+ 5+ 29- 61+	2+  0 5+  1  5  1  0 -6
Curve Equation t 88450e1 [1,-1,0,-692,-12784] 1
88450f (1 curve)	0	2+ 5+ 29- 61+	2+ -2 5+  3 -3  4  3 -2
Curve Equation t 88450f1 [1,0,1,-2499765951,-49055012926702] 1
88450g (1 curve)	0	2+ 5+ 29- 61+	2+ -2 5+ -3  6  1  0  7
Curve Equation t 88450g1 [1,0,1,-6126,-155602] 1
88450h (4 curves)	1	2+ 5+ 29- 61-	2+  2 5+ -2  0 -2  6  2
Curve Equation t Generators 88450h1 [1,1,0,-761525,255198125] 2 [-7330:112415:8] 88450h2 [1,1,0,-561525,392598125] 2 [650:17075:1] 88450h3 [1,1,0,-2907525,-1647839875] 2 [62598:1693325:27] 88450h4 [1,1,0,4904975,-8968152375] 2 [2970:176865:1]
88450i (1 curve)	1	2+ 5- 29+ 61-	2+  2 5- -1  0  5  6 -3
Curve Equation t Generators 88450i1 [1,1,0,-19450,196500] 1 [-4755:119847:125]
88450j (1 curve)	0	2- 5+ 29+ 61+	2-  0 5+ -1 -1 -3  4 -2
Curve Equation t 88450j1 [1,-1,1,4673045,44609848799547] 1
88450k (4 curves)	0	2- 5+ 29+ 61+	2-  0 5+  4  4  2 -6  8
Curve Equation t 88450k1 [1,-1,1,-955,11547] 2 88450k2 [1,-1,1,-1455,-1453] 4 88450k3 [1,-1,1,5795,-15953] 2 88450k4 [1,-1,1,-16705,-824953] 2
88450l (2 curves)	0	2- 5+ 29+ 61+	2-  2 5+ -2  4  2  6 -8
Curve Equation t 88450l1 [1,1,1,-1588,-14219] 2 88450l2 [1,1,1,-11588,465781] 2
88450m (2 curves)	0	2- 5+ 29+ 61+	2- -2 5+ -2  0 -2 -6  2
Curve Equation t 88450m1 [1,0,0,-575713,-168182583] 2 88450m2 [1,0,0,-573713,-169408583] 2
88450n (1 curve)	1	2- 5+ 29- 61+	2-  0 5+ -1  2 -7  0  1
Curve Equation t Generators 88450n1 [1,-1,1,-48730,-4128103] 1 [-127:71:1]
88450o (1 curve)	1	2- 5+ 29- 61+	2- -3 5+  4 -1 -5  0  0
Curve Equation t Generators 88450o1 [1,-1,1,-11130,-466503] 1 [145:903:1]
88450p (1 curve)	2	2- 5+ 29- 61-	2-  0 5+ -3 -2 -1  0 -5
Curve Equation t Generators 88450p1 [1,-1,1,-395005,55196997] 1 [-687:1746:1]&[-561:10280:1]
88450q (2 curves)	2	2- 5+ 29- 61-	2- -2 5+ -4 -2 -6 -2  0
Curve Equation t Generators 88450q1 [1,0,0,-125063,16724617] 2 [362:-4531:1]&[-218:5909:1] 88450q2 [1,0,0,2937,49364617] 2 [-328:3789:1]&[78:-7115:1]
88450r (1 curve)	2	2- 5- 29+ 61-	2- -2 5-  1  0 -5 -6 -3
Curve Equation t Generators 88450r1 [1,0,0,-778,1572] 1 [-28:54:1]&[-12:102:1]
88450s (2 curves)	0	2- 5- 29+ 61-	2- -2 5- -1 -3 -4 -3  2
Curve Equation t 88450s1 [1,0,0,-32138,2214892] 3 88450s2 [1,0,0,-23388,3448642] 1
88450t (1 curve)	0	2- 5- 29+ 61-	2-  3 5-  4  1  2 -3  7
Curve Equation t 88450t1 [1,-1,1,-3930,-120053] 1
88450u (1 curve)	0	2- 5- 29- 61+	2-  2 5- -3 -3 -4 -3 -2
Curve Equation t 88450u1 [1,1,1,-99990638,-392480099669] 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