Cremona's table of elliptic curves

5355 = 3² · 5 · 7 · 17

Class	r	Atkin-Lehner	Eigenvalues
5355a (2 curves)	1	3+ 5+ 7+ 17+	1 3+ 5+ 7+  0  0 17+  4
Curve Equation t Generators 5355a1 [1,-1,0,-15,440] 2 [8:24:1] 5355a2 [1,-1,0,-960,11591] 2 [10:49:1]
5355b (2 curves)	1	3+ 5- 7+ 17-	-1 3+ 5- 7+  0  0 17-  4
Curve Equation t Generators 5355b1 [1,-1,1,-2,-16] 2 [4:3:1] 5355b2 [1,-1,1,-107,-394] 2 [-6:4:1]
5355c (1 curve)	0	3- 5+ 7+ 17+	0 3- 5+ 7+  2  3 17+ -2
Curve Equation t 5355c1 [0,0,1,-318,-3227] 1
5355d (6 curves)	0	3- 5+ 7+ 17+	1 3- 5+ 7+ -4  6 17+ -4
Curve Equation t 5355d1 [1,-1,0,315,-5400] 2 5355d2 [1,-1,0,-3330,-64449] 4 5355d3 [1,-1,0,-51525,-4488750] 2 5355d4 [1,-1,0,-13455,536976] 4 5355d5 [1,-1,0,-208530,36703881] 2 5355d6 [1,-1,0,19620,2739771] 2
5355e (2 curves)	1	3- 5+ 7+ 17-	-1 3- 5+ 7+  0  0 17-  2
Curve Equation t Generators 5355e1 [1,-1,1,-23,222] 2 [2:12:1] 5355e2 [1,-1,1,-698,7242] 2 [2:75:1]
5355f (6 curves)	1	3- 5+ 7- 17+	1 3- 5+ 7-  4 -2 17+ -4
Curve Equation t Generators 5355f1 [1,-1,0,-35145,-2527200] 2 [5076:358830:1] 5355f2 [1,-1,0,-35190,-2520369] 4 [222:645:1] 5355f3 [1,-1,0,-55035,658800] 4 [14964:39201:64] 5355f4 [1,-1,0,-16065,-5262894] 2 [462:9030:1] 5355f5 [1,-1,0,-645660,199463175] 2 [210:8445:1] 5355f6 [1,-1,0,218070,5083101] 2 [-1748604:217298229:140608]
5355g (4 curves)	1	3- 5+ 7- 17+	1 3- 5+ 7- -4  2 17+  8
Curve Equation t Generators 5355g1 [1,-1,0,-3015,64480] 2 [96:760:1] 5355g2 [1,-1,0,-3060,62491] 4 [-42:361:1] 5355g3 [1,-1,0,-9135,-257054] 2 [-70:224:1] 5355g4 [1,-1,0,2295,254200] 2 [-210:3455:8]
5355h (4 curves)	1	3- 5+ 7- 17+	-1 3- 5+ 7- -4 -2 17+  0
Curve Equation t Generators 5355h1 [1,-1,1,-338,2472] 2 [12:0:1] 5355h2 [1,-1,1,-383,1806] 4 [-10:72:1] 5355h3 [1,-1,1,-2678,-51438] 2 [-28:45:1] 5355h4 [1,-1,1,1192,11886] 2 [11:156:1]
5355i (1 curve)	1	3- 5+ 7- 17+	-2 3- 5+ 7-  2 -1 17+  2
Curve Equation t Generators 5355i1 [0,0,1,-3,-32] 1 [4:4:1]
5355j (2 curves)	0	3- 5+ 7- 17-	-1 3- 5+ 7-  0  4 17-  2
Curve Equation t 5355j1 [1,-1,1,1043437,1041438242] 2 5355j2 [1,-1,1,-11258438,12880762742] 2
5355k (2 curves)	1	3- 5- 7+ 17+	-1 3- 5- 7+  4 -4 17+  6
Curve Equation t Generators 5355k1 [1,-1,1,688,11274] 2 [2:111:1] 5355k2 [1,-1,1,-5387,125484] 2 [14:222:1]
5355l (1 curve)	1	3- 5- 7+ 17+	2 3- 5- 7+ -2 -1 17+  6
Curve Equation t Generators 5355l1 [0,0,1,-89967,-10409693] 1 [2786:5621:8]
5355m (4 curves)	0	3- 5- 7+ 17-	-1 3- 5- 7+  0  6 17-  4
Curve Equation t 5355m1 [1,-1,1,373,30314] 4 5355m2 [1,-1,1,-12632,529706] 4 5355m3 [1,-1,1,-33287,-1626676] 2 5355m4 [1,-1,1,-200057,34491116] 2
5355n (1 curve)	0	3- 5- 7- 17+	0 3- 5- 7- -2 -5 17+  2
Curve Equation t 5355n1 [0,0,1,-42838662,-107937569660] 1
5355o (2 curves)	0	3- 5- 7- 17+	0 3- 5- 7-  6 -1 17+  2
Curve Equation t 5355o1 [0,0,1,-1272,22725] 1 5355o2 [0,0,1,-111432,14317362] 3
5355p (4 curves)	1	3- 5- 7- 17-	1 3- 5- 7-  0 -2 17-  0
Curve Equation t Generators 5355p1 [1,-1,0,-1629,57928] 2 [12:194:1] 5355p2 [1,-1,0,-34434,2465815] 4 [26:1247:1] 5355p3 [1,-1,0,-42939,1161148] 2 [-28:1544:1] 5355p4 [1,-1,0,-550809,157481590] 4 [1946:79352:1]
5355q (4 curves)	1	3- 5- 7- 17-	1 3- 5- 7-  0 -6 17-  4
Curve Equation t Generators 5355q1 [1,-1,0,126,-945] 2 [66:507:1] 5355q2 [1,-1,0,-999,-9720] 4 [120:1200:1] 5355q3 [1,-1,0,-15174,-715635] 2 [1230:5415:8] 5355q4 [1,-1,0,-4824,121095] 2 [54:99:1]
5355r (4 curves)	1	3- 5- 7- 17-	-1 3- 5- 7-  0 -2 17- -4
Curve Equation t Generators 5355r1 [1,-1,1,2578,-7756] 4 [12:151:1] 5355r2 [1,-1,1,-10427,-54574] 4 [-84:514:1] 5355r3 [1,-1,1,-122882,-16517986] 2 [-203:276:1] 5355r4 [1,-1,1,-106052,13256426] 2 [456:-7946:1]
5355s (4 curves)	1	3- 5- 7- 17-	-1 3- 5- 7-  4  2 17- -4
Curve Equation t Generators 5355s1 [1,-1,1,283,2364] 4 [-6:23:1] 5355s2 [1,-1,1,-1922,25296] 4 [-46:144:1] 5355s3 [1,-1,1,-10427,-386346] 2 [-48:66:1] 5355s4 [1,-1,1,-28697,1878126] 2 [99:-39:1]
5355t (1 curve)	1	3- 5- 7- 17-	-2 3- 5- 7- -6  1 17- -6
Curve Equation t Generators 5355t1 [0,0,1,3903,254992] 1 [307:5512:1]

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