Cremona's table of elliptic curves

66755 = 5 · 13² · 79

Class	r	Atkin-Lehner	Eigenvalues
66755a (4 curves)	1	5+ 13+ 79+	1  0 5+  4 -4 13+  6  4
Curve Equation t Generators 66755a1 [1,-1,0,-1130,27951] 2 [1524:6843:64] 66755a2 [1,-1,0,-22255,1282776] 4 [-171210:314547:1000] 66755a3 [1,-1,0,-26480,764791] 2 [-728111940010:-579367428697:4173281000] 66755a4 [1,-1,0,-356030,81856061] 2 [84328790:24445706663:1000]
66755b (2 curves)	1	5+ 13+ 79+	1  2 5+ -2 -4 13+  0 -4
Curve Equation t Generators 66755b1 [1,1,0,-6763,-247008] 2 [3192404064:1871915920:33076161] 66755b2 [1,1,0,-112388,-14548633] 2 [355289742953457216:-72095799996447267395:8670717149184]
66755c (2 curves)	1	5+ 13+ 79+	-1  2 5+  0  0 13+  4  0
Curve Equation t Generators 66755c1 [1,1,1,-34226,2260318] 2 [2:1479:1] 66755c2 [1,1,1,32529,10084004] 2 [121617:3214351:729]
66755d (2 curves)	1	5+ 13+ 79+	2 -1 5+ -3  3 13+ -2  0
Curve Equation t Generators 66755d1 [0,-1,1,-8506,309337] 1 [2500:11967:64] 66755d2 [0,-1,1,50644,-12372423] 1 [50655984483420:858096843831559:187542143424]
66755e (1 curve)	2	5+ 13- 79+	-2  2 5+ -3  2 13- -6  0
Curve Equation t Generators 66755e1 [0,-1,1,-15786,768796] 1 [-7:937:1]&[74:19:1]
66755f (1 curve)	0	5- 13+ 79+	2  1 5- -3  1 13+ -6 -4
Curve Equation t 66755f1 [0,1,1,203420,-77629119] 1
66755g (1 curve)	1	5- 13- 79+	2  2 5-  3 -2 13- -6  0
Curve Equation t Generators 66755g1 [0,-1,1,-2667890,1678373881] 1 [2564870:1811153:2744]

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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