Cremona's table of elliptic curves

37845 = 3² · 5 · 29²

Class	r	Atkin-Lehner	Eigenvalues
37845a (1 curve)	1	3+ 5+ 29+	-2 3+ 5+ -2  3 -4  2  2
Curve Equation t Generators 37845a1 [0,0,1,22707,-1481632] 1 [1044:34060:1]
37845b (1 curve)	0	3+ 5- 29+	2 3+ 5- -2 -3 -4 -2  2
Curve Equation t 37845b1 [0,0,1,2523,54875] 1
37845c (4 curves)	0	3- 5+ 29+	1 3- 5+  4 -4  6  6  4
Curve Equation t 37845c1 [1,-1,0,-208305,-36523040] 2 37845c2 [1,-1,0,-246150,-22300889] 4 37845c3 [1,-1,0,851355,-167391050] 2 37845c4 [1,-1,0,-1949175,1032552796] 2
37845d (8 curves)	0	3- 5+ 29+	-1 3- 5+  0 -4 -2  2 -4
Curve Equation t 37845d1 [1,-1,1,-158,-122668] 2 37845d2 [1,-1,1,-38003,-2802094] 4 37845d3 [1,-1,1,-75848,3737522] 4 37845d4 [1,-1,1,-605678,-181279114] 2 37845d5 [1,-1,1,264757,27852356] 2 37845d6 [1,-1,1,-1021973,397703972] 4 37845d7 [1,-1,1,-832748,549386732] 2 37845d8 [1,-1,1,-16349198,25448520512] 2
37845e (4 curves)	0	3- 5+ 29+	-1 3- 5+ -4  0  6  2 -8
Curve Equation t 37845e1 [1,-1,1,-227228,28042422] 2 37845e2 [1,-1,1,-3292673,2300150256] 4 37845e3 [1,-1,1,-2952068,2794436232] 2 37845e4 [1,-1,1,-52680398,147183980316] 2
37845f (1 curve)	2	3- 5+ 29+	-2 3- 5+  1 -4 -6  0  1
Curve Equation t Generators 37845f1 [0,0,1,87,94] 1 [-1:2:1]&[4:-23:1]
37845g (1 curve)	1	3- 5+ 29-	2 3- 5+  1  4 -6  0 -1
Curve Equation t Generators 37845g1 [0,0,1,73167,2298663] 1 [5046:433007:216]
37845h (2 curves)	1	3- 5- 29+	0 3- 5-  2  3  2  0 -2
Curve Equation t Generators 37845h1 [0,0,1,-85782,-9871448] 1 [205030:4234684:343] 37845h2 [0,0,1,368358,-42138095] 1 [145:3784:1]
37845i (1 curve)	1	3- 5- 29+	0 3- 5- -2  1  6  4  2
Curve Equation t Generators 37845i1 [0,0,1,595428,722042442] 1 [6032:473062:1]
37845j (2 curves)	1	3- 5- 29+	-1 3- 5- -2 -6  2 -2  2
Curve Equation t Generators 37845j1 [1,-1,1,-20342,-1044404] 2 [-578:1967:8] 37845j2 [1,-1,1,17503,-4511006] 2 [7774:239999:8]

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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