Cremona's table of elliptic curves

44785 = 5 · 13² · 53

Class	r	Atkin-Lehner	Eigenvalues
44785a (2 curves)	1	5+ 13+ 53+	0 -2 5+ -1  0 13+  3  2
Curve Equation t Generators 44785a1 [0,1,1,-9351,344946] 3 [266:2141:8] 44785a2 [0,1,1,-11041,209915] 1 [-61:812:1]
44785b (1 curve)	1	5+ 13+ 53+	1  1 5+  2  6 13+  2  4
Curve Equation t Generators 44785b1 [1,0,1,-1694,56617] 1 [325:5656:1]
44785c (1 curve)	2	5+ 13+ 53-	1 -2 5+  2 -1 13+  0  0
Curve Equation t Generators 44785c1 [1,0,1,-6764,263811] 1 [1:506:1]&[502:2111:8]
44785d (2 curves)	0	5- 13+ 53+	0 -2 5-  1  0 13+  3 -2
Curve Equation t 44785d1 [0,1,1,-1580375,764168331] 1 44785d2 [0,1,1,-1865985,468647664] 1
44785e (2 curves)	2	5- 13+ 53+	1  0 5- -2  0 13+ -6  2
Curve Equation t Generators 44785e1 [1,-1,0,-23269,1372008] 2 [-168:804:1]&[366:4887:8] 44785e2 [1,-1,0,-22424,1475605] 2 [36:827:1]&[678:3041:8]
44785f (1 curve)	2	5- 13+ 53+	-1  1 5- -2 -6 13+  2 -4
Curve Equation t Generators 44785f1 [1,0,0,-10,25] 1 [-3:7:1]&[0:5:1]
44785g (2 curves)	0	5- 13+ 53+	-1 -2 5-  2 -2 13+  6  0
Curve Equation t 44785g1 [1,0,0,-60590,-5745533] 2 44785g2 [1,0,0,-59745,-5913350] 2

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

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