Cremona's table of elliptic curves

23200 = 2⁵ · 5² · 29

Class	r	Atkin-Lehner	Eigenvalues
23200a (2 curves)	1	2+ 5+ 29+	2+  2 5+  4  2 -2 -6 -6
Curve Equation t Generators 23200a1 [0,-1,0,-758,5012] 2 [-29:42:1] 23200a2 [0,-1,0,2367,33137] 2 [32:375:1]
23200b (1 curve)	0	2+ 5+ 29-	2+  2 5+ -2 -2  2  2 -2
Curve Equation t 23200b1 [0,-1,0,-8,-28] 1
23200c (2 curves)	0	2+ 5+ 29-	2+ -2 5+  2 -4 -2 -6  0
Curve Equation t 23200c1 [0,1,0,-2597158,-1611826812] 2 23200c2 [0,1,0,-2492033,-1748173937] 2
23200d (1 curve)	1	2+ 5- 29-	2+  2 5- -2  2 -2 -2  2
Curve Equation t Generators 23200d1 [0,-1,0,-208,3912] 1 [393:7776:1]
23200e (2 curves)	0	2- 5+ 29+	2-  0 5+  2  2 -2 -2  6
Curve Equation t 23200e1 [0,0,0,-4825,-129000] 2 23200e2 [0,0,0,-4700,-136000] 2
23200f (2 curves)	2	2- 5+ 29+	2-  0 5+ -2 -2 -2 -2 -6
Curve Equation t Generators 23200f1 [0,0,0,-4825,129000] 2 [-60:450:1]&[31:96:1] 23200f2 [0,0,0,-4700,136000] 2 [-51:493:1]&[-30:500:1]
23200g (1 curve)	0	2- 5+ 29+	2-  1 5+  0  5 -1  6 -4
Curve Equation t 23200g1 [0,1,0,-33,2063] 1
23200h (1 curve)	0	2- 5+ 29+	2- -1 5+  0 -5 -1  6  4
Curve Equation t 23200h1 [0,-1,0,-33,-2063] 1
23200i (2 curves)	2	2- 5+ 29+	2- -2 5+ -4 -2 -2 -6  6
Curve Equation t Generators 23200i1 [0,1,0,-758,-5012] 2 [-23:28:1]&[-12:50:1] 23200i2 [0,1,0,2367,-33137] 2 [18:125:1]&[42:377:1]
23200j (2 curves)	1	2- 5+ 29-	2-  2 5+ -2  4 -2 -6  0
Curve Equation t Generators 23200j1 [0,-1,0,-2597158,1611826812] 2 [-29346:1515250:27] 23200j2 [0,-1,0,-2492033,1748173937] 2 [-3633015:190388132:3375]
23200k (1 curve)	1	2- 5+ 29-	2- -2 5+  2  2  2  2  2
Curve Equation t Generators 23200k1 [0,1,0,-8,28] 1 [-1:6:1]
23200l (1 curve)	0	2- 5- 29-	2- -2 5-  2 -2 -2 -2 -2
Curve Equation t 23200l1 [0,1,0,-208,-3912] 1

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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