Cremona's table of elliptic curves

32851 = 7 · 13 · 19²

Class	r	Atkin-Lehner	Eigenvalues
32851a (1 curve)	1	7+ 13+ 19+	1 -2  1 7+  4 13+ -4 19+
Curve Equation t Generators 32851a1 [1,0,1,-8,165] 1 [11:32:1]
32851b (1 curve)	1	7+ 13+ 19+	-1 -2 -1 7+ -1 13+ -6 19+
Curve Equation t Generators 32851b1 [1,0,0,-5277286,4808405277] 1 [2196:60633:1]
32851c (1 curve)	1	7+ 13+ 19+	-1 -2  2 7+ -1 13+  1 19+
Curve Equation t Generators 32851c1 [1,0,0,-914962,337846257] 1 [391:6122:1]
32851d (1 curve)	0	7+ 13+ 19-	2 -2  1 7+  0 13+ -6 19-
Curve Equation t 32851d1 [0,1,1,70,387] 1
32851e (1 curve)	0	7+ 13- 19+	1  2 -1 7+ -1 13- -6 19+
Curve Equation t 32851e1 [1,1,0,-14618,-707191] 1
32851f (1 curve)	0	7+ 13- 19+	-2  2  1 7+  0 13- -6 19+
Curve Equation t 32851f1 [0,-1,1,25150,-2504996] 1
32851g (1 curve)	1	7+ 13- 19-	1  2  2 7+ -1 13-  1 19-
Curve Equation t Generators 32851g1 [1,1,0,-2534,-50323] 1 [3108:28021:27]
32851h (1 curve)	1	7+ 13- 19-	-1  0  3 7+  3 13-  4 19-
Curve Equation t Generators 32851h1 [1,-1,1,-24616,1515348] 1 [-834:14131:8]
32851i (1 curve)	1	7+ 13- 19-	-1  2  1 7+  4 13- -4 19-
Curve Equation t Generators 32851i1 [1,1,1,-2715,-1138876] 1 [54950451898320:-279738125157284:455644227375]
32851j (1 curve)	1	7+ 13- 19-	2  0 -3 7+ -6 13-  4 19-
Curve Equation t Generators 32851j1 [0,0,1,361,-1715] 1 [12866:515997:8]
32851k (3 curves)	1	7- 13+ 19-	0  2 -3 7-  0 13+ -6 19-
Curve Equation t Generators 32851k1 [0,-1,1,-2647,-51640] 1 [116698302:1505544035:636056] 32851k2 [0,-1,1,4573,-262103] 1 [410:2579:8] 32851k3 [0,-1,1,-42357,8283850] 1 [248:3601:1]

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

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