Cremona's table of elliptic curves

80444 = 2² · 7 · 13² · 17

Class	r	Atkin-Lehner	Eigenvalues
80444a (2 curves)	0	2- 7+ 13+ 17+	2-  1  0 7+ -3 13+ 17+  1
Curve Equation t 80444a1 [0,1,0,-5633,198212] 1 80444a2 [0,1,0,41687,-1652000] 1
80444b (1 curve)	0	2- 7+ 13+ 17+	2- -2  1 7+  0 13+ 17+  3
Curve Equation t 80444b1 [0,1,0,-4451685,-4680277913] 1
80444c (2 curves)	1	2- 7+ 13+ 17-	2-  1  0 7+ -3 13+ 17-  7
Curve Equation t Generators 80444c1 [0,1,0,-620793,188068076] 1 [1096:28730:1] 80444c2 [0,1,0,-46193,519072152] 1 [25068:964990:27]
80444d (2 curves)	2	2- 7+ 13- 17-	2-  0  0 7+  0 13- 17-  0
Curve Equation t Generators 80444d1 [0,0,0,-61360,5850273] 2 [-182:3315:1]&[142:21:1] 80444d2 [0,0,0,-61295,5863286] 2 [-65:3094:1]&[139:170:1]
80444e (2 curves)	1	2- 7- 13+ 17+	2-  2 -2 7-  4 13+ 17+  2
Curve Equation t Generators 80444e1 [0,-1,0,-9689,202994] 2 [-95:507:1] 80444e2 [0,-1,0,31716,1445144] 2 [1946:86190:1]
80444f (1 curve)	0	2- 7- 13+ 17-	2-  1 -4 7-  3 13+ 17-  1
Curve Equation t 80444f1 [0,1,0,-225,-16756] 1
80444g (1 curve)	0	2- 7- 13+ 17-	2-  3  4 7- -1 13+ 17-  1
Curve Equation t 80444g1 [0,0,0,-1088598628,-13939204651255] 1
80444h (2 curves)	1	2- 7- 13- 17-	2-  0  0 7-  0 13- 17-  0
Curve Equation t Generators 80444h1 [0,0,0,-10369840,12853049781] 2 [14928180:-4078827:8000] 80444h2 [0,0,0,-10358855,12881639342] 2 [11906:220745:8]

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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