Cremona's table of elliptic curves

10413 = 3² · 13 · 89

Class	r	Atkin-Lehner	Eigenvalues
10413a (1 curve)	1	3+ 13+ 89+	-1 3+ -3  1  3 13+  0  1
Curve Equation t Generators 10413a1 [1,-1,1,-29,244] 1 [4:11:1]
10413b (1 curve)	1	3+ 13+ 89+	-1 3+ -3 -1  5 13+  4 -5
Curve Equation t Generators 10413b1 [1,-1,1,-434,3592] 1 [10:8:1]
10413c (1 curve)	0	3+ 13+ 89-	1 3+  3  1 -3 13+  0  1
Curve Equation t 10413c1 [1,-1,0,-3,-8] 1
10413d (1 curve)	0	3+ 13+ 89-	1 3+  3 -1 -5 13+ -4 -5
Curve Equation t 10413d1 [1,-1,0,-48,-117] 1
10413e (1 curve)	0	3- 13+ 89+	0 3- -2  1  2 13+  7  1
Curve Equation t 10413e1 [0,0,1,-1596,-22068] 1
10413f (1 curve)	1	3- 13+ 89-	0 3-  0  1 -2 13+  1  5
Curve Equation t Generators 10413f1 [0,0,1,-30,45] 1 [5:4:1]
10413g (1 curve)	1	3- 13+ 89-	1 3- -3  1  3 13+  0  1
Curve Equation t Generators 10413g1 [1,-1,0,-515511,142593016] 1 [452:1106:1]
10413h (1 curve)	1	3- 13+ 89-	1 3- -3 -4 -2 13+  5  1
Curve Equation t Generators 10413h1 [1,-1,0,54,-2079] 1 [112:1127:1]
10413i (1 curve)	1	3- 13+ 89-	-2 3-  0  1  0 13+  3  1
Curve Equation t Generators 10413i1 [0,0,1,-4125,-101966] 1 [-37:2:1]
10413j (1 curve)	1	3- 13- 89+	-1 3- -1 -1  1 13-  0  7
Curve Equation t Generators 10413j1 [1,-1,1,-113,3048] 1 [-4:60:1]
10413k (1 curve)	2	3- 13- 89-	-2 3- -2 -1 -4 13- -3 -5
Curve Equation t Generators 10413k1 [0,0,1,-471,3892] 1 [-25:6:1]&[1:58:1]

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

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