Cremona's table of elliptic curves

24174 = 2 · 3² · 17 · 79

Class	r	Atkin-Lehner	Eigenvalues
24174a (1 curve)	2	2+ 3- 17+ 79+	2+ 3- -1 -5  0  1 17+ -6
Curve Equation t Generators 24174a1 [1,-1,0,-765,-7803] 1 [-17:17:1]&[-14:11:1]
24174b (2 curves)	0	2+ 3- 17+ 79+	2+ 3- -4  0 -2 -2 17+ -8
Curve Equation t 24174b1 [1,-1,0,-12584214,-24698241036] 2 24174b2 [1,-1,0,-224920854,-1298081071116] 2
24174c (2 curves)	1	2+ 3- 17- 79+	2+ 3- -2  0  0  2 17-  8
Curve Equation t Generators 24174c1 [1,-1,0,-1863,403645] 2 [-33:671:1] 24174c2 [1,-1,0,-94023,11038909] 2 [-171:4786:1]
24174d (2 curves)	0	2+ 3- 17- 79-	2+ 3-  0  0  2 -2 17-  0
Curve Equation t 24174d1 [1,-1,0,48198,5219252] 2 24174d2 [1,-1,0,-320442,52921268] 2
24174e (2 curves)	0	2+ 3- 17- 79-	2+ 3-  0 -4  2 -6 17-  4
Curve Equation t 24174e1 [1,-1,0,-26037,1371829] 2 24174e2 [1,-1,0,-118197,-14313803] 2
24174f (4 curves)	0	2+ 3- 17- 79-	2+ 3-  2  0 -4 -2 17-  4
Curve Equation t 24174f1 [1,-1,0,144,-1616] 2 24174f2 [1,-1,0,-1476,-18788] 4 24174f3 [1,-1,0,-6066,163894] 2 24174f4 [1,-1,0,-22806,-1319918] 2
24174g (2 curves)	0	2+ 3- 17- 79-	2+ 3-  3  5  6 -1 17- -4
Curve Equation t 24174g1 [1,-1,0,-802188,-275827248] 1 24174g2 [1,-1,0,-3589308,2368990368] 3
24174h (2 curves)	0	2+ 3- 17- 79-	2+ 3- -4  0 -2  6 17-  0
Curve Equation t 24174h1 [1,-1,0,-234,-7776] 2 24174h2 [1,-1,0,-7524,-248346] 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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