Cremona's table of elliptic curves

1995 = 3 · 5 · 7 · 19

Class	r	Atkin-Lehner	Eigenvalues
1995a (4 curves)	0	3+ 5+ 7- 19+	-1 3+ 5+ 7-  0  2  6 19+
Curve Equation t 1995a1 [1,1,1,-6696,208104] 4 1995a2 [1,1,1,-6941,191738] 4 1995a3 [1,1,1,-28816,-1698262] 2 1995a4 [1,1,1,11014,1039214] 2
1995b (1 curve)	0	3+ 5- 7+ 19+	0 3+ 5- 7+ -4  4 -4 19+
Curve Equation t 1995b1 [0,-1,1,55,-739] 1
1995c (6 curves)	0	3+ 5- 7+ 19+	-1 3+ 5- 7+  4 -2  2 19+
Curve Equation t 1995c1 [1,1,1,-200,1160] 4 1995c2 [1,1,1,-3325,72410] 8 1995c3 [1,1,1,-3450,66510] 4 1995c4 [1,1,1,-53200,4700810] 4 1995c5 [1,1,1,-14475,-608220] 2 1995c6 [1,1,1,5575,366140] 2
1995d (6 curves)	0	3+ 5- 7- 19-	-1 3+ 5- 7-  4  6  2 19-
Curve Equation t 1995d1 [1,1,1,125380,5207420] 4 1995d2 [1,1,1,-526225,41957942] 8 1995d3 [1,1,1,-4860030,-4094225550] 4 1995d4 [1,1,1,-6618100,6543206942] 4 1995d5 [1,1,1,-77594405,-263115881800] 2 1995d6 [1,1,1,-1466535,-9701636688] 2
1995e (4 curves)	1	3- 5+ 7+ 19-	-1 3- 5+ 7+  0 -6  6 19-
Curve Equation t Generators 1995e1 [1,0,0,199,4080] 2 [69:555:1] 1995e2 [1,0,0,-2926,55955] 4 [-37:356:1] 1995e3 [1,0,0,-10051,-324520] 2 [-56:280:1] 1995e4 [1,0,0,-45801,3768930] 4 [-147:2781:1]
1995f (3 curves)	0	3- 5+ 7- 19-	0 3- 5+ 7-  0 -4  0 19-
Curve Equation t 1995f1 [0,1,1,49,131] 3 1995f2 [0,1,1,-491,-6160] 3 1995f3 [0,1,1,-44381,-3613519] 1
1995g (4 curves)	0	3- 5- 7- 19+	1 3- 5- 7-  0  6  2 19+
Curve Equation t 1995g1 [1,0,1,-868893,-311814869] 2 1995g2 [1,0,1,-880898,-302758297] 4 1995g3 [1,0,1,-2561353,1195535381] 4 1995g4 [1,0,1,607477,-1221383347] 2
1995h (6 curves)	0	3- 5- 7- 19+	-1 3- 5- 7- -4 -2  2 19+
Curve Equation t 1995h1 [1,0,0,70,147] 4 1995h2 [1,0,0,-335,1200] 8 1995h3 [1,0,0,-2540,-48633] 4 1995h4 [1,0,0,-4610,120045] 4 1995h5 [1,0,0,-40445,-3134100] 2 1995h6 [1,0,0,85,-143658] 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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