Cremona's table of elliptic curves

13013 = 7 · 11 · 13²

Class	r	Atkin-Lehner	Eigenvalues
13013a (3 curves)	2	7+ 11- 13+	0  1 -3 7+ 11- 13+ -6 -2
Curve Equation t Generators 13013a1 [0,1,1,-15097,708972] 1 [66:66:1]&[108:591:1] 13013a2 [0,1,1,-8337,1352017] 1 [-113:929:1]&[151:1886:1] 13013a3 [0,1,1,74473,-35042978] 1 [368:6506:1]&[11522:1237164:1]
13013b (2 curves)	2	7+ 11- 13+	0 -2  0 7+ 11- 13+ -6  1
Curve Equation t Generators 13013b1 [0,1,1,-43,95] 1 [-5:14:1]&[3:1:1] 13013b2 [0,1,1,-173,-828] 1 [-10:1:1]&[-6:5:1]
13013c (1 curve)	0	7+ 11- 13+	-1 -1 -4 7+ 11- 13+ -3  8
Curve Equation t 13013c1 [1,1,1,-595,156606] 1
13013d (1 curve)	0	7+ 11- 13+	2  0  4 7+ 11- 13+ -2  5
Curve Equation t 13013d1 [0,0,1,-63713,4605461] 1
13013e (1 curve)	0	7+ 11- 13+	2  2  2 7+ 11- 13+  6 -1
Curve Equation t 13013e1 [0,-1,1,-342242,-63626561] 1
13013f (1 curve)	2	7+ 11- 13+	-2  0  0 7+ 11- 13+ -2 -7
Curve Equation t Generators 13013f1 [0,0,1,-845,-9422] 1 [-17:5:1]&[-16:1:1]
13013g (2 curves)	1	7+ 11- 13-	-1 -2  2 7+ 11- 13- -2  0
Curve Equation t Generators 13013g1 [1,0,0,-2792,36295] 2 [135:1390:1] 13013g2 [1,0,0,8193,253798] 2 [-9:428:1]
13013h (2 curves)	2	7- 11+ 13+	0 -2  0 7- 11+ 13+ -6 -1
Curve Equation t Generators 13013h1 [0,1,1,-7323,238476] 3 [-10:557:1]&[52:31:1] 13013h2 [0,1,1,-29293,-1701475] 1 [-113:422:1]&[-97:486:1]
13013i (4 curves)	0	7- 11+ 13+	1  0  2 7- 11+ 13+ -2  4
Curve Equation t 13013i1 [1,-1,0,-2651,-442376] 2 13013i2 [1,-1,0,-104896,-12977613] 4 13013i3 [1,-1,0,-1675751,-834534778] 2 13013i4 [1,-1,0,-169961,5097444] 2
13013j (1 curve)	0	7- 11+ 13+	1 -1  4 7- 11+ 13+ -3 -8
Curve Equation t 13013j1 [1,1,0,-3,70] 1
13013k (2 curves)	0	7- 11+ 13+	-1  2  2 7- 11+ 13+  4  0
Curve Equation t 13013k1 [1,1,1,588,21068] 2 13013k2 [1,1,1,-8707,285046] 2
13013l (1 curve)	0	7- 11+ 13+	2  0  0 7- 11+ 13+ -2  7
Curve Equation t 13013l1 [0,0,1,-142805,-20699585] 1
13013m (1 curve)	0	7- 11+ 13+	2 -3  3 7- 11+ 13+ -8  4
Curve Equation t 13013m1 [0,0,1,-33631,2399673] 1
13013n (1 curve)	2	7- 11+ 13+	-2  0 -4 7- 11+ 13+ -2 -5
Curve Equation t Generators 13013n1 [0,0,1,-377,2096] 1 [-4:59:1]&[3:31:1]
13013o (1 curve)	0	7- 11+ 13+	-2  2 -2 7- 11+ 13+  6  1
Curve Equation t 13013o1 [0,-1,1,-57838954,-140018909704] 1
13013p (2 curves)	1	7- 11+ 13-	1 -2 -2 7- 11+ 13- -2  0
Curve Equation t Generators 13013p1 [1,0,1,-17,15] 2 [5:5:1] 13013p2 [1,0,1,48,119] 2 [1:12:1]
13013q (1 curve)	1	7- 11- 13+	0  2  1 7- 11- 13+  2  1
Curve Equation t Generators 13013q1 [0,-1,1,-2683945,1699460180] 1 [44040:1099585:27]
13013r (1 curve)	1	7- 11- 13+	0 -3  1 7- 11- 13+  2  6
Curve Equation t Generators 13013r1 [0,0,1,338,549] 1 [13:84:1]

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

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