Cremona's table of elliptic curves

13175 = 5² · 17 · 31

Class	r	Atkin-Lehner	Eigenvalues
13175a (1 curve)	1	5+ 17+ 31+	1 -1 5+ -2 -6  1 17+  2
Curve Equation t Generators 13175a1 [1,1,0,-22525,-1296250] 1 [2270:30115:8]
13175b (1 curve)	1	5+ 17+ 31+	1  2 5+  1 -3  1 17+  5
Curve Equation t Generators 13175b1 [1,1,0,125,1500] 1 [24:126:1]
13175c (1 curve)	2	5+ 17+ 31-	-1  1 5+ -2 -2 -7 17+  2
Curve Equation t Generators 13175c1 [1,0,0,-88,-83] 1 [-9:5:1]&[-3:14:1]
13175d (1 curve)	2	5+ 17+ 31-	-1 -2 5+ -5 -5  5 17+ -7
Curve Equation t Generators 13175d1 [1,0,0,-185088,31983667] 1 [-63:6619:1]&[122:3289:1]
13175e (1 curve)	0	5- 17+ 31+	-1  1 5-  4 -4  1 17+  4
Curve Equation t 13175e1 [1,0,0,-14506553,-12976411378] 1
13175f (1 curve)	2	5- 17+ 31+	-1 -2 5-  1 -1 -5 17+ -5
Curve Equation t Generators 13175f1 [1,0,0,-128,547] 1 [7:-1:1]&[1:20:1]
13175g (1 curve)	1	5- 17- 31+	1 -1 5- -4 -4 -1 17-  4
Curve Equation t Generators 13175g1 [1,1,0,-362663825,-1622051422250] 1 [379230:74733635:8]
13175h (1 curve)	1	5- 17- 31+	1  2 5- -1 -1  5 17- -5
Curve Equation t Generators 13175h1 [1,1,0,-3200,68375] 1 [34:1:1]

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

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