Cremona's table of elliptic curves

6175 = 5² · 13 · 19

Class	r	Atkin-Lehner	Eigenvalues
6175a (1 curve)	1	5+ 13+ 19+	-1  0 5+  1  5 13+ -3 19+
Curve Equation t Generators 6175a1 [1,-1,1,-10,-18] 1 [10:23:1]
6175b (1 curve)	0	5+ 13+ 19-	0  3 5+  4 -2 13+  2 19-
Curve Equation t 6175b1 [0,0,1,-197500,-6889844] 1
6175c (1 curve)	1	5+ 13- 19-	1 -2 5+  1 -3 13-  1 19-
Curve Equation t Generators 6175c1 [1,0,1,-286,1833] 1 [13:12:1]
6175d (1 curve)	1	5+ 13- 19-	2  1 5+ -2  0 13-  2 19-
Curve Equation t Generators 6175d1 [0,1,1,-18,19] 1 [26:15:8]
6175e (1 curve)	1	5- 13+ 19-	-1  2 5- -1 -3 13+ -1 19-
Curve Equation t Generators 6175e1 [1,1,1,-7138,229156] 1 [46:5:1]
6175f (1 curve)	1	5- 13+ 19-	-1 -3 5- -1  2 13+  4 19-
Curve Equation t Generators 6175f1 [1,-1,1,-1305,-22428] 1 [44:40:1]
6175g (1 curve)	1	5- 13+ 19-	-2 -1 5-  2  0 13+ -2 19-
Curve Equation t Generators 6175g1 [0,-1,1,-458,3318] 1 [42:-238:1]
6175h (1 curve)	1	5- 13- 19+	1  0 5- -1  5 13-  3 19+
Curve Equation t Generators 6175h1 [1,-1,0,-242,-2459] 1 [220:3139:1]
6175i (1 curve)	2	5- 13- 19-	0 -3 5- -4 -2 13- -2 19-
Curve Equation t Generators 6175i1 [0,0,1,-7900,-55119] 1 [-85:47:1]&[-35:422:1]
6175j (1 curve)	0	5- 13- 19-	1  3 5-  1  2 13- -4 19-
Curve Equation t 6175j1 [1,-1,0,-52,-169] 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
Back to Tables and computations