Cremona's table of elliptic curves

105400 = 2³ · 5² · 17 · 31

Class	r	Atkin-Lehner	Eigenvalues
105400a (1 curve)	1	2+ 5+ 17+ 31+	2+  1 5+ -2 -3 -6 17+ -8
Curve Equation t Generators 105400a1 [0,1,0,205992,74040113] 1 [-176:5689:1]
105400b (1 curve)	1	2+ 5+ 17+ 31+	2+  1 5+  4  0 -3 17+  2
Curve Equation t Generators 105400b1 [0,1,0,-6408,-193312] 1 [103:500:1]
105400c (1 curve)	1	2+ 5+ 17+ 31+	2+ -1 5+  0  5  2 17+  4
Curve Equation t Generators 105400c1 [0,-1,0,-3508,-79363] 1 [817:23275:1]
105400d (1 curve)	1	2+ 5+ 17+ 31+	2+ -2 5+ -5 -6  6 17+  5
Curve Equation t Generators 105400d1 [0,1,0,1692,28513] 1 [24:-289:1]
105400e (1 curve)	2	2+ 5+ 17+ 31-	2+  0 5+  1 -5 -1 17+ -5
Curve Equation t Generators 105400e1 [0,0,0,-575,7250] 1 [-26:68:1]&[-5:100:1]
105400f (1 curve)	0	2+ 5+ 17- 31+	2+ -2 5+  3  5  3 17- -5
Curve Equation t 105400f1 [0,1,0,-364383,84540238] 1
105400g (1 curve)	1	2+ 5+ 17- 31-	2+  0 5+  3 -1  1 17-  1
Curve Equation t Generators 105400g1 [0,0,0,-30950,-2098375] 1 [445:8500:1]
105400h (1 curve)	1	2+ 5+ 17- 31-	2+  0 5+ -3 -4  4 17-  1
Curve Equation t Generators 105400h1 [0,0,0,-1819775,944875875] 1 [779:17:1]
105400i (1 curve)	0	2+ 5- 17+ 31+	2+  0 5- -1 -5  5 17+  3
Curve Equation t 105400i1 [0,0,0,250,-1784375] 1
105400j (2 curves)	0	2+ 5- 17- 31-	2+  0 5-  2 -4 -6 17- -4
Curve Equation t 105400j1 [0,0,0,-10750,-609375] 2 105400j2 [0,0,0,-191375,-32218750] 2
105400k (1 curve)	0	2+ 5- 17- 31-	2+  2 5-  5 -3 -3 17- -7
Curve Equation t 105400k1 [0,-1,0,-583,8412] 1
105400l (1 curve)	0	2+ 5- 17- 31-	2+  3 5-  2  2  3 17- -4
Curve Equation t 105400l1 [0,0,0,-1315,18350] 1
105400m (1 curve)	0	2- 5+ 17+ 31+	2-  1 5+  2 -3  2 17+  0
Curve Equation t 105400m1 [0,1,0,2092,29813] 1
105400n (1 curve)	1	2- 5+ 17+ 31-	2-  0 5+  1  0  4 17+ -3
Curve Equation t Generators 105400n1 [0,0,0,-275,2875] 1 [1:51:1]
105400o (1 curve)	1	2- 5+ 17- 31+	2-  1 5+ -2  3  0 17- -4
Curve Equation t Generators 105400o1 [0,1,0,-208,1213] 1 [3:25:1]
105400p (1 curve)	2	2- 5+ 17- 31-	2-  0 5+ -1 -1 -3 17- -1
Curve Equation t Generators 105400p1 [0,0,0,-12115175,-17620725750] 1 [4091:35836:1]&[5145:237150:1]
105400q (1 curve)	2	2- 5+ 17- 31-	2-  1 5+  0  0 -5 17- -6
Curve Equation t Generators 105400q1 [0,1,0,-599408,171700688] 1 [803:14450:1]&[152:9172:1]
105400r (1 curve)	2	2- 5+ 17- 31-	2- -2 5+ -3  3 -5 17-  3
Curve Equation t Generators 105400r1 [0,1,0,217,-62] 1 [3:25:1]&[7:43:1]
105400s (1 curve)	2	2- 5+ 17- 31-	2- -3 5+ -4 -1 -6 17- -4
Curve Equation t Generators 105400s1 [0,0,0,125,-125] 1 [1:1:1]&[5:25:1]
105400t (1 curve)	2	2- 5+ 17- 31-	2- -3 5+ -4 -4  3 17-  2
Curve Equation t Generators 105400t1 [0,0,0,-10522075,13054447750] 1 [43185:-480500:27]&[-109:119164:1]
105400u (2 curves)	2	2- 5- 17+ 31-	2-  0 5- -2 -4  6 17+ -4
Curve Equation t Generators 105400u1 [0,0,0,-430,-4875] 2 [26:39:1]&[70:555:1] 105400u2 [0,0,0,-7655,-257750] 2 [-51:2:1]&[195:2380:1]
105400v (1 curve)	2	2- 5- 17+ 31-	2- -2 5- -5 -3  3 17+ -7
Curve Equation t Generators 105400v1 [0,1,0,-23,58] 1 [3:5:1]&[-2:10:1]
105400w (1 curve)	2	2- 5- 17+ 31-	2- -3 5- -2  2 -3 17+ -4
Curve Equation t Generators 105400w1 [0,0,0,-32875,2293750] 1 [59:748:1]&[75:500:1]
105400x (1 curve)	2	2- 5- 17- 31+	2-  0 5-  1 -5 -5 17-  3
Curve Equation t Generators 105400x1 [0,0,0,10,-14275] 1 [25:40:1]&[46:-289:1]

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