Cremona's table of elliptic curves

13520 = 2⁴ · 5 · 13²

Class	r	Atkin-Lehner	Eigenvalues
13520a (4 curves)	1	2+ 5+ 13+	2+  0 5+ -4  4 13+  2  4
Curve Equation t Generators 13520a1 [0,0,0,-338,-2197] 2 [-3451:4668:343] 13520a2 [0,0,0,-1183,13182] 4 [-23:168:1] 13520a3 [0,0,0,-18083,935922] 2 [-91:1352:1] 13520a4 [0,0,0,2197,74698] 2 [91:1014:1]
13520b (1 curve)	1	2+ 5+ 13+	2+  1 5+  3 -1 13+  1  1
Curve Equation t Generators 13520b1 [0,1,0,-71036,-7310965] 1 [1577:61685:1]
13520c (1 curve)	1	2+ 5+ 13+	2+  1 5+  3  3 13+ -3  5
Curve Equation t Generators 13520c1 [0,1,0,-56,-25] 1 [17:65:1]
13520d (1 curve)	1	2+ 5+ 13+	2+  1 5+ -3  5 13+  5 -1
Curve Equation t Generators 13520d1 [0,1,0,-56,-181] 1 [-38:5:8]
13520e (2 curves)	1	2+ 5+ 13+	2+ -2 5+  0  2 13+  2  2
Curve Equation t Generators 13520e1 [0,1,0,-3436,75180] 2 [26:64:1] 13520e2 [0,1,0,-56,219844] 2 [-48:338:1]
13520f (1 curve)	1	2+ 5+ 13+	2+ -2 5+ -3  5 13+ -2 -5
Curve Equation t Generators 13520f1 [0,1,0,-56,820] 1 [4:26:1]
13520g (1 curve)	1	2+ 5+ 13+	2+  3 5+ -3 -5 13+  3  5
Curve Equation t Generators 13520g1 [0,0,0,-173563,-27618487] 1 [-50667266856:91209885625:206425071]
13520h (4 curves)	0	2+ 5- 13+	2+  0 5-  0 -4 13+ -6  4
Curve Equation t 13520h1 [0,0,0,-3887,-92274] 2 13520h2 [0,0,0,-7267,92274] 4 13520h3 [0,0,0,-95147,11288186] 4 13520h4 [0,0,0,26533,707434] 2
13520i (1 curve)	0	2+ 5- 13+	2+  1 5-  3 -5 13+  5  1
Curve Equation t 13520i1 [0,1,0,-9520,-359657] 1
13520j (1 curve)	0	2+ 5- 13+	2+  1 5- -3  1 13+  1 -1
Curve Equation t 13520j1 [0,1,0,-420,-3457] 1
13520k (1 curve)	0	2+ 5- 13+	2+  1 5- -3 -3 13+ -3 -5
Curve Equation t 13520k1 [0,1,0,-9520,-16925] 1
13520l (1 curve)	0	2+ 5- 13+	2+ -2 5-  3 -5 13+ -2  5
Curve Equation t 13520l1 [0,1,0,-9520,1839540] 1
13520m (1 curve)	0	2+ 5- 13+	2+  3 5-  3  5 13+  3 -5
Curve Equation t 13520m1 [0,0,0,-1027,-12571] 1
13520n (4 curves)	0	2- 5+ 13+	2-  0 5+  0  0 13+  2 -8
Curve Equation t 13520n1 [0,0,0,-18083,338338] 2 13520n2 [0,0,0,-234403,43645602] 4 13520n3 [0,0,0,-3749603,2794641122] 2 13520n4 [0,0,0,-180323,64314978] 2
13520o (2 curves)	0	2- 5+ 13+	2-  0 5+ -3 -3 13+ -4  7
Curve Equation t 13520o1 [0,0,0,-2370563,-2289392638] 1 13520o2 [0,0,0,-208009763,1248166024482] 1
13520p (1 curve)	0	2- 5+ 13+	2-  1 5+ -5  5 13+ -1  3
Curve Equation t 13520p1 [0,1,0,-5126,-34501] 1
13520q (2 curves)	2	2- 5+ 13+	2- -1 5+  1 -3 13+ -3 -5
Curve Equation t Generators 13520q1 [0,-1,0,-5126,-136865] 1 [-39:47:1]&[113:845:1] 13520q2 [0,-1,0,-49066,4142891] 1 [113:169:1]&[161:625:1]
13520r (2 curves)	0	2- 5+ 13+	2- -1 5+ -1  3 13+ -3 -7
Curve Equation t 13520r1 [0,-1,0,-180886,28292315] 1 13520r2 [0,-1,0,-14461386,21172000615] 1
13520s (2 curves)	0	2- 5+ 13+	2-  2 5+  1 -3 13+ -6 -5
Curve Equation t 13520s1 [0,-1,0,-27096,-1795600] 1 13520s2 [0,-1,0,148664,-2920464] 1
13520t (4 curves)	0	2- 5+ 13+	2-  2 5+ -4 -6 13+ -6  2
Curve Equation t 13520t1 [0,-1,0,-87936,-9948160] 2 13520t2 [0,-1,0,-33856,-22105344] 2 13520t3 [0,-1,0,-561136,155482560] 2 13520t4 [0,-1,0,304144,590891456] 2
13520u (1 curve)	0	2- 5+ 13+	2-  3 5+  3  3 13+ -7  1
Curve Equation t 13520u1 [0,0,0,-13,-13] 1
13520v (2 curves)	1	2- 5+ 13-	2- -2 5+  0  0 13-  6  0
Curve Equation t Generators 13520v1 [0,1,0,-1096,4980] 2 [-34:64:1] 13520v2 [0,1,0,-9416,-351116] 2 [-60:38:1]
13520w (2 curves)	1	2- 5- 13+	2-  0 5-  3  3 13+ -4 -7
Curve Equation t Generators 13520w1 [0,0,0,-14027,-1042054] 1 [247:3250:1] 13520w2 [0,0,0,-1230827,568122906] 1 [455:10114:1]
13520x (1 curve)	1	2- 5- 13+	2-  1 5-  5 -5 13+ -1 -3
Curve Equation t Generators 13520x1 [0,1,0,-30,-25] 1 [-5:5:1]
13520y (2 curves)	1	2- 5- 13+	2- -1 5-  1 -3 13+ -3  7
Curve Equation t Generators 13520y1 [0,-1,0,-1070,13207] 1 [9:65:1] 13520y2 [0,-1,0,-85570,9663107] 1 [169:5:1]
13520z (2 curves)	1	2- 5- 13+	2- -1 5- -1  3 13+ -3  5
Curve Equation t Generators 13520z1 [0,-1,0,-30,-53] 1 [-3:1:1] 13520z2 [0,-1,0,-290,1975] 1 [5:25:1]
13520ba (2 curves)	1	2- 5- 13+	2-  2 5- -1  3 13+ -6  5
Curve Equation t Generators 13520ba1 [0,-1,0,-160,-768] 1 [402:8046:1] 13520ba2 [0,-1,0,880,-1600] 1 [10:90:1]
13520bb (4 curves)	1	2- 5- 13+	2-  2 5-  2  0 13+ -6 -4
Curve Equation t Generators 13520bb1 [0,-1,0,-225,-820] 2 [-8471732:1413972:704969] 13520bb2 [0,-1,0,620,-6228] 2 [29493:210574:729] 13520bb3 [0,-1,0,-6985,226992] 2 [-96:60:1] 13520bb4 [0,-1,0,-6140,283100] 2 [410:2535:8]
13520bc (2 curves)	1	2- 5- 13+	2-  2 5- -4  2 13+  2 -6
Curve Equation t Generators 13520bc1 [0,-1,0,-2760,-10960] 2 [932:28392:1] 13520bc2 [0,-1,0,10760,-97488] 2 [25086:768950:27]
13520bd (2 curves)	1	2- 5- 13+	2- -2 5-  2  4 13+  2  0
Curve Equation t Generators 13520bd1 [0,1,0,-47545,-4006170] 2 [18764145844986676:-1622191906456417283:2508803313472] 13520bd2 [0,1,0,-46700,-4154552] 2 [1009011542:3312044255:3944312]
13520be (2 curves)	1	2- 5- 13+	2- -2 5- -4 -2 13+  2  6
Curve Equation t Generators 13520be1 [0,1,0,-2274120,1319044468] 2 [836:1690:1] 13520be2 [0,1,0,-2057800,1580272500] 2 [-100:42250:1]
13520bf (1 curve)	1	2- 5- 13+	2-  3 5- -3 -3 13+ -7 -1
Curve Equation t Generators 13520bf1 [0,0,0,-2197,-28561] 1 [-1014:845:27]
13520bg (2 curves)	0	2- 5- 13-	2- -2 5-  0  0 13-  6  0
Curve Equation t 13520bg1 [0,1,0,-185280,11682100] 2 13520bg2 [0,1,0,-1591360,-765036492] 2

Data from Elliptic Curve Data by J. E. Cremona.
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