Cremona's table of elliptic curves

5757 = 3 · 19 · 101

Class	r	Atkin-Lehner	Eigenvalues
5757a (1 curve)	0	3+ 19+ 101-	2 3+  0  2  5 -4  6 19+
Curve Equation t 5757a1 [0,-1,1,-8,11] 1
5757b (1 curve)	0	3+ 19- 101+	0 3+  2 -2  3  2  6 19-
Curve Equation t 5757b1 [0,-1,1,-77,-217] 1
5757c (4 curves)	1	3+ 19- 101-	-1 3+ -2 -4  4 -2 -6 19-
Curve Equation t Generators 5757c1 [1,1,1,-114,510] 4 [12:26:1] 5757c2 [1,1,1,-1919,31556] 4 [6:139:1] 5757c3 [1,1,1,-2014,28136] 2 [-26:265:1] 5757c4 [1,1,1,-30704,2058020] 2 [107:56:1]
5757d (1 curve)	1	3- 19+ 101-	0 3-  3 -3  1  6 -7 19+
Curve Equation t Generators 5757d1 [0,1,1,41,3634] 1 [26:151:1]
5757e (2 curves)	1	3- 19+ 101-	1 3-  2 -2  0 -2 -2 19+
Curve Equation t Generators 5757e1 [1,0,1,2315,149243] 2 [61:689:1] 5757e2 [1,0,1,-31980,2014891] 2 [17:1206:1]
5757f (2 curves)	1	3- 19+ 101-	-2 3- -4 -2 -3  4 -2 19+
Curve Equation t Generators 5757f1 [0,1,1,-1422660,652625210] 5 [645:1939:1] 5757f2 [0,1,1,-17781630,-28681471390] 1 [-832850288718:-2018944886237:363994344]
5757g (2 curves)	0	3- 19- 101-	0 3- -3  5  3  2  3 19-
Curve Equation t 5757g1 [0,1,1,641863,2096948960] 3 5757g2 [0,1,1,-5784767,-57054396223] 1

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

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