Cremona's table of elliptic curves

10309 = 13² · 61

Class	r	Atkin-Lehner	Eigenvalues
10309a (1 curve)	1	13+ 61+	1 -2  3 -1  5 13+  4  4
Curve Equation t Generators 10309a1 [1,0,1,-342,2537] 1 [5:28:1]
10309b (2 curves)	1	13+ 61+	1  3 -1  2 -2 13+  0  1
Curve Equation t Generators 10309b1 [1,-1,0,-42535,3387164] 1 [206076:-100879:1728] 10309b2 [1,-1,0,-222520,-37687441] 1 [-2945255983480674926332140:-11258567556369349670980447:13094759956972115304000]
10309c (2 curves)	1	13+ 61+	-1  0 -2  4 -4 13+ -6  2
Curve Equation t Generators 10309c1 [1,-1,1,-2736,-54310] 2 [1740:4090:27] 10309c2 [1,-1,1,-1891,-89124] 2 [196:2555:1]
10309d (2 curves)	1	13+ 61+	-1  3  1 -2  2 13+  0 -1
Curve Equation t Generators 10309d1 [1,-1,1,-7188447,7420034002] 1 [20263704:66761645:13824] 10309d2 [1,-1,1,-37605912,-82912125578] 1 [-6215416899186019978787859345805996748478360190926360:-132685192560343508877291012740338605422331802198493083:1896110203886897774490693160518449391641296833024]

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

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