Cremona's table of elliptic curves

55955 = 5 · 19² · 31

Class	r	Atkin-Lehner	Eigenvalues
55955a (2 curves)	0	5+ 19- 31+	1 -2 5+  4  4  0 -8 19-
Curve Equation t 55955a1 [1,0,1,-369,9551] 2 55955a2 [1,0,1,-9394,348891] 2
55955b (2 curves)	0	5+ 19- 31+	-1  0 5+  0  6  4 -2 19-
Curve Equation t 55955b1 [1,-1,1,3542,153656] 2 55955b2 [1,-1,1,-30753,1758662] 2
55955c (1 curve)	1	5+ 19- 31-	0  1 5+  0 -4  6  5 19-
Curve Equation t Generators 55955c1 [0,1,1,-481,-5940] 1 [59442:14492514:1]
55955d (1 curve)	1	5- 19+ 31-	-1 -1 5- -2  2 -1  2 19+
Curve Equation t Generators 55955d1 [1,1,1,-2715,-96308] 1 [69910:212959:1000]
55955e (1 curve)	1	5- 19- 31+	1  1 5- -2  2  1  2 19-
Curve Equation t Generators 55955e1 [1,0,1,-8,13] 1 [14:9:8]
55955f (2 curves)	1	5- 19- 31+	2  1 5- -2  2  6 -7 19-
Curve Equation t Generators 55955f1 [0,1,1,3490,-64061] 1 [19086:209537:216] 55955f2 [0,1,1,-303360,64331119] 1 [29994223363947675434598:33164196945020595026549:93797340138915245496]

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

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