Cremona's table of elliptic curves

5520 = 2⁴ · 3 · 5 · 23

Class	r	Atkin-Lehner	Eigenvalues
5520a (4 curves)	0	2+ 3+ 5+ 23-	2+ 3+ 5+  0  0 -2 -6  0
Curve Equation t 5520a1 [0,-1,0,-3956,614400] 2 5520a2 [0,-1,0,-135176,19090176] 4 5520a3 [0,-1,0,-209696,-4219680] 2 5520a4 [0,-1,0,-2160176,1222750176] 4
5520b (1 curve)	0	2+ 3+ 5+ 23-	2+ 3+ 5+ -3  6 -2  3  6
Curve Equation t 5520b1 [0,-1,0,-201,-1035] 1
5520c (1 curve)	0	2+ 3+ 5- 23+	2+ 3+ 5-  3  4  0  3  4
Curve Equation t 5520c1 [0,-1,0,7615,-1127283] 1
5520d (2 curves)	1	2+ 3+ 5- 23-	2+ 3+ 5-  0 -2  0  6 -8
Curve Equation t Generators 5520d1 [0,-1,0,-32040,-2291328] 2 [622:14766:1] 5520d2 [0,-1,0,-518720,-143623200] 2 [1772:67068:1]
5520e (4 curves)	0	2+ 3- 5+ 23+	2+ 3- 5+ -4 -4  6 -2 -4
Curve Equation t 5520e1 [0,1,0,-31,44] 2 5520e2 [0,1,0,-156,-756] 4 5520e3 [0,1,0,-2456,-47676] 2 5520e4 [0,1,0,144,-3036] 2
5520f (2 curves)	0	2+ 3- 5+ 23+	2+ 3- 5+ -4  6 -4  2  0
Curve Equation t 5520f1 [0,1,0,64,-636] 2 5520f2 [0,1,0,-856,-9100] 2
5520g (4 curves)	1	2+ 3- 5+ 23-	2+ 3- 5+  0 -4  2  2  0
Curve Equation t Generators 5520g1 [0,1,0,-116,444] 2 [15:48:1] 5520g2 [0,1,0,-136,260] 4 [-8:30:1] 5520g3 [0,1,0,-1056,-13356] 2 [-18:12:1] 5520g4 [0,1,0,464,2420] 2 [4:66:1]
5520h (1 curve)	1	2+ 3- 5+ 23-	2+ 3- 5+ -3  2  2 -1 -6
Curve Equation t Generators 5520h1 [0,1,0,-281,54099] 1 [22:243:1]
5520i (1 curve)	1	2+ 3- 5- 23+	2+ 3- 5- -1  0 -4 -1  0
Curve Equation t Generators 5520i1 [0,1,0,15,-117] 1 [6:15:1]
5520j (2 curves)	1	2+ 3- 5- 23+	2+ 3- 5- -2  2  2 -8 -4
Curve Equation t Generators 5520j1 [0,1,0,120,900] 2 [0:30:1] 5520j2 [0,1,0,-960,9108] 2 [126:1380:1]
5520k (6 curves)	0	2+ 3- 5- 23-	2+ 3- 5-  0  4 -2  2 -4
Curve Equation t 5520k1 [0,1,0,-129375,-17954352] 2 5520k2 [0,1,0,-129380,-17952900] 4 5520k3 [0,1,0,-141880,-14287900] 8 5520k4 [0,1,0,-116960,-21524892] 2 5520k5 [0,1,0,-870880,301514900] 4 5520k6 [0,1,0,387120,-95330700] 4
5520l (2 curves)	0	2- 3+ 5+ 23+	2- 3+ 5+  0 -2  0  6 -4
Curve Equation t 5520l1 [0,-1,0,2144,38656] 2 5520l2 [0,-1,0,-12576,380160] 2
5520m (4 curves)	0	2- 3+ 5+ 23+	2- 3+ 5+  0  4 -6 -6 -4
Curve Equation t 5520m1 [0,-1,0,-9656,366960] 2 5520m2 [0,-1,0,-14776,-59024] 4 5520m3 [0,-1,0,-170296,-26932880] 2 5520m4 [0,-1,0,58824,-530064] 2
5520n (1 curve)	0	2- 3+ 5+ 23+	2- 3+ 5+  3  4  0 -3  8
Curve Equation t 5520n1 [0,-1,0,-21,-99] 1
5520o (2 curves)	1	2- 3+ 5+ 23-	2- 3+ 5+  1  0 -4 -3  4
Curve Equation t Generators 5520o1 [0,-1,0,59,121] 1 [13:54:1] 5520o2 [0,-1,0,-1381,20425] 1 [1:138:1]
5520p (4 curves)	1	2- 3+ 5+ 23-	2- 3+ 5+ -4  4 -2  6 -8
Curve Equation t Generators 5520p1 [0,-1,0,144,0] 2 [8:40:1] 5520p2 [0,-1,0,-576,576] 4 [-22:46:1] 5520p3 [0,-1,0,-6096,-180480] 2 [-46:22:1] 5520p4 [0,-1,0,-6576,206976] 4 [50:26:1]
5520q (4 curves)	1	2- 3+ 5+ 23-	2- 3+ 5+ -4 -4  6 -2  4
Curve Equation t Generators 5520q1 [0,-1,0,7304,-153680] 2 [66:782:1] 5520q2 [0,-1,0,-35016,-1304784] 4 [250:2346:1] 5520q3 [0,-1,0,-482136,-128644560] 2 [2194:96798:1] 5520q4 [0,-1,0,-265016,51687216] 2 [9750:46342:27]
5520r (4 curves)	1	2- 3+ 5- 23+	2- 3+ 5-  0 -4 -2  2  0
Curve Equation t Generators 5520r1 [0,-1,0,-200,-528] 2 [-3:6:1] 5520r2 [0,-1,0,-1480,22000] 4 [2:138:1] 5520r3 [0,-1,0,-23560,1399792] 4 [-156:1120:1] 5520r4 [0,-1,0,120,65520] 2 [42:378:1]
5520s (1 curve)	1	2- 3+ 5- 23+	2- 3+ 5-  3  2 -2 -7  6
Curve Equation t Generators 5520s1 [0,-1,0,-845,-12975] 1 [65:450:1]
5520t (2 curves)	0	2- 3+ 5- 23-	2- 3+ 5-  0  2  4  6  8
Curve Equation t 5520t1 [0,-1,0,-3920,96192] 2 5520t2 [0,-1,0,-62800,6078400] 2
5520u (6 curves)	0	2- 3+ 5- 23-	2- 3+ 5-  0 -4 -2 -6 -4
Curve Equation t 5520u1 [0,-1,0,-6720,-230400] 2 5520u2 [0,-1,0,-110400,-14082048] 4 5520u3 [0,-1,0,-1766400,-903022848] 2 5520u4 [0,-1,0,-113280,-13305600] 8 5520u5 [0,-1,0,-413280,87734400] 4 5520u6 [0,-1,0,140640,-64699008] 4
5520v (4 curves)	0	2- 3+ 5- 23-	2- 3+ 5-  4  0  2  6 -2
Curve Equation t 5520v1 [0,-1,0,-165,612] 2 5520v2 [0,-1,0,460,3612] 2 5520v3 [0,-1,0,-12165,520512] 2 5520v4 [0,-1,0,-12140,522732] 2
5520w (1 curve)	0	2- 3+ 5- 23-	2- 3+ 5-  5  2 -6  1 -2
Curve Equation t 5520w1 [0,-1,0,-1605,-27603] 1
5520x (1 curve)	1	2- 3- 5+ 23+	2- 3- 5+ -1 -4  0  5  0
Curve Equation t Generators 5520x1 [0,1,0,-11701,483299] 1 [62:3:1]
5520y (2 curves)	1	2- 3- 5+ 23+	2- 3- 5+  2  2 -6 -4  0
Curve Equation t Generators 5520y1 [0,1,0,64,-1740] 2 [12:30:1] 5520y2 [0,1,0,-1856,-30156] 2 [204:2850:1]
5520z (2 curves)	1	2- 3- 5+ 23+	2- 3- 5+ -4  2  0  2  0
Curve Equation t Generators 5520z1 [0,1,0,2664,27540] 2 [36:414:1] 5520z2 [0,1,0,-12056,221844] 2 [-26:720:1]
5520ba (4 curves)	0	2- 3- 5+ 23-	2- 3- 5+  0  0  6  2  0
Curve Equation t 5520ba1 [0,1,0,-71856,13148244] 2 5520ba2 [0,1,0,-1382576,624992340] 4 5520ba3 [0,1,0,-1618096,397291604] 2 5520ba4 [0,1,0,-22118576,40031686740] 4
5520bb (2 curves)	0	2- 3- 5+ 23-	2- 3- 5+  0  0 -6  2 -6
Curve Equation t 5520bb1 [0,1,0,-21,30] 2 5520bb2 [0,1,0,4,120] 2
5520bc (2 curves)	0	2- 3- 5+ 23-	2- 3- 5+  2 -6 -2  0  4
Curve Equation t 5520bc1 [0,1,0,2744,131444] 2 5520bc2 [0,1,0,-27976,1569140] 2
5520bd (1 curve)	0	2- 3- 5+ 23-	2- 3- 5+  5  0  4 -3  4
Curve Equation t 5520bd1 [0,1,0,766939,-112645761] 1
5520be (2 curves)	1	2- 3- 5- 23-	2- 3- 5-  2 -2 -2  0 -8
Curve Equation t Generators 5520be1 [0,1,0,-364440,5813802900] 2 [-1380:60750:1] 5520be2 [0,1,0,-50752920,137408357268] 2 [3606:36000:1]
5520bf (1 curve)	1	2- 3- 5- 23-	2- 3- 5- -3 -2 -2  5  2
Curve Equation t Generators 5520bf1 [0,1,0,475,5715] 1 [-2:69:1]
5520bg (2 curves)	1	2- 3- 5- 23-	2- 3- 5- -4 -2  4 -6  4
Curve Equation t Generators 5520bg1 [0,1,0,-200,1908] 2 [-2:48:1] 5520bg2 [0,1,0,-3880,91700] 2 [-10:360:1]

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