Cremona's table of elliptic curves

26350 = 2 · 5² · 17 · 31

Class	r	Atkin-Lehner	Eigenvalues
26350a (4 curves)	0	2+ 5+ 17- 31+	2+  0 5+  0  4  6 17- -4
Curve Equation t 26350a1 [1,-1,0,1333,-227259] 2 26350a2 [1,-1,0,-48667,-3977259] 4 26350a3 [1,-1,0,-126167,11910241] 4 26350a4 [1,-1,0,-771167,-260464759] 2
26350b (1 curve)	2	2+ 5+ 17- 31+	2+ -2 5+ -5 -3 -5 17-  1
Curve Equation t Generators 26350b1 [1,0,1,-66526,6608448] 1 [-247:2949:1]&[-168:3696:1]
26350c (1 curve)	0	2+ 5+ 17- 31+	2+  3 5+  0  0 -1 17- -6
Curve Equation t 26350c1 [1,-1,0,-4417,95741] 1
26350d (2 curves)	1	2+ 5+ 17- 31-	2+  0 5+  4 -4 -4 17-  4
Curve Equation t Generators 26350d1 [1,-1,0,8,4416] 2 [33:183:1] 26350d2 [1,-1,0,-3992,96416] 2 [25:96:1]
26350e (1 curve)	0	2+ 5- 17+ 31+	2+  0 5-  3 -3  1 17+  6
Curve Equation t 26350e1 [1,-1,0,-25117,1544541] 1
26350f (1 curve)	2	2+ 5- 17+ 31+	2+ -3 5- -4 -4 -3 17+ -4
Curve Equation t Generators 26350f1 [1,-1,0,-202,1156] 1 [9:-7:1]&[0:34:1]
26350g (2 curves)	1	2+ 5- 17+ 31-	2+  1 5-  2  2  1 17+  0
Curve Equation t Generators 26350g1 [1,0,1,-79451,-8099702] 1 [1552:59286:1] 26350g2 [1,0,1,-9205076,10748745298] 1 [2302:40786:1]
26350h (1 curve)	1	2+ 5- 17+ 31-	2+  2 5- -1  1 -5 17+ -5
Curve Equation t Generators 26350h1 [1,1,0,365,-1875] 1 [6:21:1]
26350i (1 curve)	1	2+ 5- 17- 31+	2+  1 5-  2  2 -5 17- -4
Curve Equation t Generators 26350i1 [1,0,1,-566,5128] 1 [13:-3:1]
26350j (1 curve)	0	2+ 5- 17- 31-	2+  1 5-  4  0  3 17- -8
Curve Equation t 26350j1 [1,0,1,-18076,846298] 1
26350k (1 curve)	2	2+ 5- 17- 31-	2+ -1 5-  2 -2 -5 17- -8
Curve Equation t Generators 26350k1 [1,1,0,-110,-200] 1 [-10:10:1]&[-6:20:1]
26350l (1 curve)	2	2+ 5- 17- 31-	2+ -2 5- -3 -3 -3 17- -1
Curve Equation t Generators 26350l1 [1,0,1,-141,-1672] 1 [47:286:1]&[22:66:1]
26350m (1 curve)	0	2- 5+ 17+ 31+	2- -1 5+  2 -2 -3 17+ -2
Curve Equation t 26350m1 [1,1,1,-8927313,-8652773969] 1
26350n (1 curve)	1	2- 5+ 17- 31+	2-  0 5+ -3 -3 -1 17-  6
Curve Equation t Generators 26350n1 [1,-1,1,-1005,12557] 1 [25:38:1]
26350o (1 curve)	1	2- 5+ 17- 31+	2- -2 5+ -1  1  3 17-  1
Curve Equation t Generators 26350o1 [1,0,0,-177088,-28766208] 1 [832:-20416:1]
26350p (2 curves)	2	2- 5+ 17- 31-	2- -1 5+ -2 -6 -5 17-  2
Curve Equation t Generators 26350p1 [1,1,1,-9838,369531] 1 [-85:817:1]&[-25:787:1] 26350p2 [1,1,1,-60213,-5458469] 1 [355:4072:1]&[-155:502:1]
26350q (1 curve)	1	2- 5- 17+ 31+	2- -1 5- -2  2  5 17+ -4
Curve Equation t Generators 26350q1 [1,1,1,-14138,641031] 1 [85:-293:1]
26350r (1 curve)	0	2- 5- 17+ 31-	2-  1 5- -2 -2  5 17+ -8
Curve Equation t 26350r1 [1,0,0,-2763,-19483] 1
26350s (1 curve)	2	2- 5- 17+ 31-	2- -1 5- -4  0 -3 17+ -8
Curve Equation t Generators 26350s1 [1,1,1,-723,6481] 1 [35:-178:1]&[-29:78:1]
26350t (1 curve)	0	2- 5- 17+ 31-	2-  2 5-  3 -3  3 17+ -1
Curve Equation t 26350t1 [1,1,1,-3513,-208969] 1
26350u (1 curve)	0	2- 5- 17- 31+	2-  3 5-  4 -4  3 17- -4
Curve Equation t 26350u1 [1,-1,1,-5055,139447] 1
26350v (2 curves)	1	2- 5- 17- 31-	2- -1 5- -2  2 -1 17-  0
Curve Equation t Generators 26350v1 [1,1,1,-3178,-66069] 1 [-31:77:1] 26350v2 [1,1,1,-368203,85842681] 5 [-159:11928:1]
26350w (1 curve)	1	2- 5- 17- 31-	2- -2 5-  1  1  5 17- -5
Curve Equation t Generators 26350w1 [1,0,0,9112,-252608] 1 [252:4124:1]

Data from Elliptic Curve Data by J. E. Cremona.
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