Cremona's table of elliptic curves

105800 = 2³ · 5² · 23²

Class	r	Atkin-Lehner	Eigenvalues
105800a (1 curve)	0	2+ 5+ 23-	2+  1 5+  0 -2  5 -4  2
Curve Equation t 105800a1 [0,1,0,-4408,35091313] 1
105800b (1 curve)	0	2+ 5+ 23-	2+  1 5+  2  4  5 -2 -6
Curve Equation t 105800b1 [0,1,0,-4408,-1409687] 1
105800c (1 curve)	0	2+ 5+ 23-	2+  1 5+  2  6  1  6  4
Curve Equation t 105800c1 [0,1,0,101392,-29764087] 1
105800d (1 curve)	2	2+ 5+ 23-	2+  1 5+ -2 -6  1 -6 -4
Curve Equation t Generators 105800d1 [0,1,0,192,2513] 1 [-8:23:1]&[28:175:1]
105800e (1 curve)	0	2+ 5+ 23-	2+  1 5+  4  1 -2  2 -5
Curve Equation t 105800e1 [0,1,0,2534792,1102071088] 1
105800f (1 curve)	0	2+ 5+ 23-	2+  1 5+ -4 -1 -2 -2  5
Curve Equation t 105800f1 [0,1,0,4792,-88912] 1
105800g (1 curve)	2	2+ 5+ 23-	2+ -1 5+ -2  0 -1 -4  4
Curve Equation t Generators 105800g1 [0,-1,0,48492,-5705363] 1 [162:2525:1]&[537:13225:1]
105800h (1 curve)	0	2+ 5+ 23-	2+ -1 5+  4 -3  2 -1  1
Curve Equation t 105800h1 [0,-1,0,-8045208,8989926412] 1
105800i (1 curve)	0	2+ 5+ 23-	2+ -2 5+ -1  5  1  4 -7
Curve Equation t 105800i1 [0,1,0,-46728,-3877472] 1
105800j (1 curve)	0	2+ 5+ 23-	2+ -2 5+  2 -2  5 -2  6
Curve Equation t 105800j1 [0,1,0,-2332008,1846691488] 1
105800k (1 curve)	0	2+ 5+ 23-	2+ -2 5+  2  5 -2 -2 -1
Curve Equation t 105800k1 [0,1,0,-105033,-13122437] 1
105800l (1 curve)	2	2+ 5+ 23-	2+ -2 5+ -2  2  5  2 -6
Curve Equation t Generators 105800l1 [0,1,0,-4408,-153312] 1 [84:276:1]&[107:782:1]
105800m (1 curve)	2	2+ 5+ 23-	2+ -2 5+ -2 -5 -2  2  1
Curve Equation t Generators 105800m1 [0,1,0,-55562633,159216190363] 1 [22923:3306250:1]&[1227:304778:1]
105800n (1 curve)	0	2+ 5+ 23-	2+ -2 5+ -3 -5  5 -4 -1
Curve Equation t 105800n1 [0,1,0,-2755208,-1738658912] 1
105800o (2 curves)	1	2+ 5- 23-	2+  2 5- -2  4  4  0  4
Curve Equation t Generators 105800o1 [0,-1,0,-44083,1422912] 2 [528184461:-30486951125:34965783] 105800o2 [0,-1,0,-374708,-87184588] 2 [-738294588913623258:-1997705929045827284:2058221269994427]
105800p (1 curve)	1	2+ 5- 23-	2+ -2 5-  3  0 -6  7  4
Curve Equation t Generators 105800p1 [0,1,0,3527,-494517] 1 [107:1058:1]
105800q (1 curve)	1	2+ 5- 23-	2+ -3 5- -2 -1  4 -5 -1
Curve Equation t Generators 105800q1 [0,0,0,66125,15208750] 1 [-1150:13225:8]
105800r (1 curve)	1	2- 5+ 23-	2-  0 5+  1  6  2 -3  6
Curve Equation t Generators 105800r1 [0,0,0,19414300,4325368500] 1 [19418440:3807279125:512]
105800s (1 curve)	1	2- 5+ 23-	2-  0 5+  2  3  2 -6 -3
Curve Equation t Generators 105800s1 [0,0,0,-1216700,-419761500] 1 [-148120:1719250:343]
105800t (1 curve)	1	2- 5+ 23-	2-  0 5+ -2 -3  2  6  3
Curve Equation t Generators 105800t1 [0,0,0,-2300,34500] 1 [-40:250:1]
105800u (2 curves)	1	2- 5+ 23-	2-  0 5+  4 -6  2  6  6
Curve Equation t Generators 105800u1 [0,0,0,66125,-9125250] 2 [42740670:15087450300:343] 105800u2 [0,0,0,-462875,-94294250] 2 [46704202633354:16486351760377668:374805361]
105800v (4 curves)	1	2- 5+ 23-	2-  0 5+ -4 -4  2  2 -4
Curve Equation t Generators 105800v1 [0,0,0,-26450,-1520875] 2 [-106:303:1] 105800v2 [0,0,0,-92575,9125250] 4 [-299:3174:1] 105800v3 [0,0,0,171925,51709750] 2 [5395:397500:1] 105800v4 [0,0,0,-1415075,647892750] 2 [5451:393576:1]
105800w (1 curve)	1	2- 5+ 23-	2-  1 5+  2 -4 -4 -7 -3
Curve Equation t Generators 105800w1 [0,1,0,192,-6112] 1 [1754:26075:8]
105800x (1 curve)	1	2- 5+ 23-	2-  1 5+ -2  4 -4  7  3
Curve Equation t Generators 105800x1 [0,1,0,101392,75176288] 1 [2674533062438:138391353933425:1018108216]
105800y (1 curve)	1	2- 5+ 23-	2-  1 5+ -4  2 -7 -4  6
Curve Equation t Generators 105800y1 [0,1,0,-57308,-5482987] 1 [338:3725:1]
105800z (1 curve)	1	2- 5+ 23-	2-  3 5+  2 -1 -4  5 -1
Curve Equation t Generators 105800z1 [0,0,0,2645,121670] 1 [-2465108214:5416858961:77308776]
105800ba (1 curve)	1	2- 5+ 23-	2-  3 5+ -2  0 -1  0  0
Curve Equation t Generators 105800ba1 [0,0,0,-2473075,-1507187125] 1 [5676449910:118544998625:2803221]
105800bb (1 curve)	1	2- 5+ 23-	2- -3 5+ -2  0  5 -6 -6
Curve Equation t Generators 105800bb1 [0,0,0,-727375,238777375] 1 [805:13225:1]
105800bc (1 curve)	0	2- 5- 23-	2-  1 5- -4 -3 -2  1  1
Curve Equation t 105800bc1 [0,1,0,-321808,71790688] 1
105800bd (1 curve)	0	2- 5- 23-	2- -1 5-  4 -1  2  2  5
Curve Equation t 105800bd1 [0,-1,0,192,-788] 1
105800be (1 curve)	0	2- 5- 23-	2- -1 5- -4  1  2 -2 -5
Curve Equation t 105800be1 [0,-1,0,101392,8776012] 1
105800bf (1 curve)	0	2- 5- 23-	2-  2 5-  1  5 -1 -4 -7
Curve Equation t 105800bf1 [0,-1,0,-1168208,-482347588] 1
105800bg (1 curve)	0	2- 5- 23-	2-  2 5-  3 -5 -5  4 -1
Curve Equation t 105800bg1 [0,-1,0,-110208,-13865188] 1
105800bh (1 curve)	0	2- 5- 23-	2-  2 5- -3  0  6 -7  4
Curve Equation t 105800bh1 [0,-1,0,88167,-61990963] 1
105800bi (2 curves)	0	2- 5- 23-	2- -2 5-  2  4 -4  0  4
Curve Equation t 105800bi1 [0,1,0,-1763,10678] 2 105800bi2 [0,1,0,-14988,-703472] 2

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