Cremona's table of elliptic curves

665 = 5 · 7 · 19

Class	r	Atkin-Lehner	Eigenvalues
665a (1 curve)	1	5+ 7- 19-	-1 -1 5+ 7-  4  0 -1 19-
Curve Equation t Generators 665a1 [1,1,1,64,258] 1 [4:22:1]
665b (4 curves)	1	5- 7+ 19-	1  0 5- 7+ -4 -2  2 19-
Curve Equation t Generators 665b1 [1,-1,0,-14,-17] 2 [138:67:27] 665b2 [1,-1,0,-19,0] 4 [16:52:1] 665b3 [1,-1,0,-194,1085] 4 [142:367:8] 665b4 [1,-1,0,76,-57] 2 [2:9:1]
665c (1 curve)	1	5- 7- 19+	1 -1 5- 7-  0 -4 -3 19+
Curve Equation t Generators 665c1 [1,1,0,-2,1] 1 [0:1:1]
665d (2 curves)	1	5- 7- 19+	-2 -1 5- 7- -3 -1  3 19+
Curve Equation t Generators 665d1 [0,-1,1,-210,6798] 5 [-18:66:1] 665d2 [0,-1,1,-16660,-1081562] 1 [112542:2475991:216]
665e (1 curve)	0	5- 7- 19-	-2  3 5- 7- -3  3  3 19-
Curve Equation t 665e1 [0,0,1,-97,-368] 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
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