Cremona's table of elliptic curves

6200 = 2³ · 5² · 31

Class	r	Atkin-Lehner	Eigenvalues
6200a (1 curve)	1	2+ 5+ 31+	2+  1 5+ -2 -2  2  5  1
Curve Equation t Generators 6200a1 [0,1,0,-633,8363] 1 [43:250:1]
6200b (2 curves)	1	2+ 5+ 31+	2+  2 5+  0  2 -4 -6  4
Curve Equation t Generators 6200b1 [0,-1,0,192,-388] 2 [106:525:8] 6200b2 [0,-1,0,-808,-2388] 2 [6702:8225:216]
6200c (2 curves)	1	2+ 5+ 31+	2+ -2 5+  4  4 -4 -4  4
Curve Equation t Generators 6200c1 [0,1,0,-783,-1562] 2 [-27:25:1] 6200c2 [0,1,0,3092,-9312] 2 [4:56:1]
6200d (2 curves)	0	2+ 5+ 31-	2+  0 5+  0  2 -2  0 -8
Curve Equation t 6200d1 [0,0,0,-8075,309750] 2 6200d2 [0,0,0,-133075,18684750] 2
6200e (4 curves)	0	2+ 5+ 31-	2+  0 5+  0 -4 -2 -6  4
Curve Equation t 6200e1 [0,0,0,-9050,-207375] 4 6200e2 [0,0,0,-129175,-17865750] 4 6200e3 [0,0,0,-2066675,-1143553250] 2 6200e4 [0,0,0,-113675,-22314250] 2
6200f (1 curve)	0	2+ 5+ 31-	2+  0 5+  3  2  4  0  1
Curve Equation t 6200f1 [0,0,0,25,-125] 1
6200g (1 curve)	0	2+ 5- 31+	2+  0 5- -1 -5 -5  2 -2
Curve Equation t 6200g1 [0,0,0,-47875,4038750] 1
6200h (1 curve)	0	2- 5+ 31+	2-  0 5+  1 -5  5 -2 -2
Curve Equation t 6200h1 [0,0,0,-1915,32310] 1
6200i (1 curve)	0	2- 5+ 31+	2-  2 5+  3 -2  2  6  1
Curve Equation t 6200i1 [0,-1,0,-8,137] 1
6200j (1 curve)	0	2- 5+ 31+	2- -3 5+ -2 -2  2  1  1
Curve Equation t 6200j1 [0,0,0,-961300,-362775500] 1
6200k (1 curve)	1	2- 5+ 31-	2-  1 5+  0  0  2 -3  1
Curve Equation t Generators 6200k1 [0,1,0,-180033,-29699437] 1 [2556749:20738450:4913]
6200l (2 curves)	1	2- 5+ 31-	2- -2 5+  0  0 -4  0  4
Curve Equation t Generators 6200l1 [0,1,0,92,2688] 2 [-2:50:1] 6200l2 [0,1,0,-2408,42688] 2 [-8:248:1]

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

Part of Computational Number Theory
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