Cremona's table of elliptic curves

21488 = 2⁴ · 17 · 79

Class	r	Atkin-Lehner	Eigenvalues
21488a (1 curve)	2	2+ 17+ 79-	2+ -1 -3 -3  0  1 17+  2
Curve Equation t Generators 21488a1 [0,-1,0,-152,736] 1 [-10:34:1]&[-3:34:1]
21488b (1 curve)	0	2+ 17- 79+	2+  1 -3 -1  4  5 17-  2
Curve Equation t 21488b1 [0,1,0,-52632,4397444] 1
21488c (2 curves)	0	2- 17+ 79+	2-  0  0  0  2 -2 17+  0
Curve Equation t 21488c1 [0,0,0,85685,12400122] 2 21488c2 [0,0,0,-569675,125253114] 2
21488d (1 curve)	0	2- 17+ 79+	2-  1  3  1  2  3 17+  2
Curve Equation t 21488d1 [0,1,0,-244,1384] 1
21488e (2 curves)	0	2- 17+ 79+	2- -1 -3 -5  6 -1 17+  4
Curve Equation t 21488e1 [0,-1,0,-1426112,-653812736] 1 21488e2 [0,-1,0,-6380992,5615384576] 1
21488f (2 curves)	0	2- 17+ 79+	2- -2  0  4  2 -6 17+ -4
Curve Equation t 21488f1 [0,1,0,-46288,3220884] 2 21488f2 [0,1,0,-210128,-34069100] 2
21488g (2 curves)	1	2- 17+ 79-	2- -2  2  0  0  2 17+ -8
Curve Equation t Generators 21488g1 [0,1,0,-3312,954580] 2 [-60:970:1] 21488g2 [0,1,0,-167152,26054868] 2 [2194:101120:1]
21488h (1 curve)	1	2- 17- 79+	2- -1  1 -1  2 -5 17- -8
Curve Equation t Generators 21488h1 [0,-1,0,-800,-3392] 1 [-6:34:1]
21488i (1 curve)	1	2- 17- 79+	2- -3  3 -3  2 -5 17- -6
Curve Equation t Generators 21488i1 [0,0,0,-11311,-461798] 1 [-62:34:1]
21488j (1 curve)	0	2- 17- 79-	2- -1  1  5  0  1 17-  6
Curve Equation t 21488j1 [0,-1,0,-1360,-18496] 1

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

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