Cremona's table of elliptic curves

3185 = 5 · 7² · 13

Class	r	Atkin-Lehner	Eigenvalues
3185a (4 curves)	0	5+ 7- 13+	-1  0 5+ 7-  0 13+  6  0
Curve Equation t 3185a1 [1,-1,1,-3268,-71074] 2 3185a2 [1,-1,1,-3513,-59608] 4 3185a3 [1,-1,1,-19438,997812] 2 3185a4 [1,-1,1,8492,-386144] 2
3185b (1 curve)	2	5+ 7- 13+	-1 -2 5+ 7- -5 13+ -5  1
Curve Equation t Generators 3185b1 [1,0,0,-1,6] 1 [-1:3:1]&[1:2:1]
3185c (1 curve)	0	5+ 7- 13+	-1  3 5+ 7-  0 13+  0  6
Curve Equation t 3185c1 [1,-1,1,-12071478,-16140317294] 1
3185d (1 curve)	1	5+ 7- 13-	1 -3 5+ 7-  0 13- -4 -2
Curve Equation t Generators 3185d1 [1,-1,0,5,-50] 1 [6:10:1]
3185e (1 curve)	0	5- 7+ 13+	1  3 5- 7+  0 13+  4  2
Curve Equation t 3185e1 [1,-1,0,236,16673] 1
3185f (1 curve)	1	5- 7+ 13-	-1  2 5- 7+ -5 13-  5 -1
Curve Equation t Generators 3185f1 [1,1,1,-50,-2108] 1 [20:63:1]
3185g (1 curve)	1	5- 7+ 13-	-1 -3 5- 7+  0 13-  0 -6
Curve Equation t Generators 3185g1 [1,-1,1,-246357,47126706] 1 [416:-4271:1]
3185h (4 curves)	0	5- 7- 13-	1  0 5- 7-  0 13-  2  4
Curve Equation t 3185h1 [1,-1,0,-2459,-33160] 2 3185h2 [1,-1,0,-14464,646323] 4 3185h3 [1,-1,0,-228839,42192198] 4 3185h4 [1,-1,0,7831,2443300] 2
3185i (2 curves)	0	5- 7- 13-	-1  2 5- 7-  2 13- -2  6
Curve Equation t 3185i1 [1,1,1,-50,-50] 2 3185i2 [1,1,1,195,-148] 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
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