Cremona's table of elliptic curves

82251 = 3² · 13 · 19 · 37

Class	r	Atkin-Lehner	Eigenvalues
82251a (2 curves)	0	3+ 13+ 19+ 37-	1 3+  4  4  0 13+  2 19+
Curve Equation t 82251a1 [1,-1,0,-570,5383] 2 82251a2 [1,-1,0,-555,5668] 2
82251b (2 curves)	0	3+ 13+ 19+ 37-	-1 3+ -4  4  0 13+ -2 19+
Curve Equation t 82251b1 [1,-1,1,-5132,-140210] 2 82251b2 [1,-1,1,-4997,-148040] 2
82251c (1 curve)	1	3- 13+ 19+ 37-	1 3-  1 -2  0 13+  8 19+
Curve Equation t Generators 82251c1 [1,-1,0,16956,53671] 1 [6052510:210532747:4913]
82251d (4 curves)	1	3- 13+ 19- 37+	-1 3- -2  0  4 13+ -2 19-
Curve Equation t Generators 82251d1 [1,-1,1,679,-16248] 2 [4330:25146:125] 82251d2 [1,-1,1,-6926,-192684] 4 [-52:183:1] 82251d3 [1,-1,1,-28571,1668786] 2 [-148:1698:1] 82251d4 [1,-1,1,-106961,-13437318] 2 [60195:822727:125]
82251e (1 curve)	1	3- 13- 19+ 37+	1 3-  1  2  4 13-  0 19+
Curve Equation t Generators 82251e1 [1,-1,0,-54,211] 1 [26:113:1]
82251f (1 curve)	0	3- 13- 19- 37+	2 3-  3 -1  5 13-  1 19-
Curve Equation t 82251f1 [0,0,1,-73011,-8116857] 1
82251g (1 curve)	1	3- 13- 19- 37-	0 3-  0 -3  3 13- -4 19-
Curve Equation t Generators 82251g1 [0,0,1,-300,-437] 1 [29:-124:1]

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

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