Cremona's table of elliptic curves

20475 = 3² · 5² · 7 · 13

Class	r	Atkin-Lehner	Eigenvalues
20475a (2 curves)	1	3+ 5+ 7+ 13+	1 3+ 5+ 7+ -2 13+ -8  8
Curve Equation t Generators 20475a1 [1,-1,0,-3417,-40384] 2 [-16:108:1] 20475a2 [1,-1,0,-47292,-3945259] 2 [6542:176279:8]
20475b (2 curves)	1	3+ 5+ 7+ 13+	-1 3+ 5+ 7+  2 13+  8  8
Curve Equation t Generators 20475b1 [1,-1,1,-380,1622] 2 [4:10:1] 20475b2 [1,-1,1,-5255,147872] 2 [24:175:1]
20475c (1 curve)	0	3+ 5+ 7+ 13-	1 3+ 5+ 7+ -4 13- -5  0
Curve Equation t 20475c1 [1,-1,0,-9492,-1450459] 1
20475d (1 curve)	0	3+ 5+ 7+ 13-	-1 3+ 5+ 7+  4 13-  5  0
Curve Equation t 20475d1 [1,-1,1,-1055,54072] 1
20475e (1 curve)	0	3+ 5+ 7- 13+	1 3+ 5+ 7-  0 13+ -3  0
Curve Equation t 20475e1 [1,-1,0,93,54386] 1
20475f (2 curves)	0	3+ 5+ 7- 13+	1 3+ 5+ 7- -6 13+  0  0
Curve Equation t 20475f1 [1,-1,0,-310542,-66511009] 2 20475f2 [1,-1,0,-354417,-46460134] 2
20475g (1 curve)	0	3+ 5+ 7- 13+	-1 3+ 5+ 7-  0 13+  3  0
Curve Equation t 20475g1 [1,-1,1,10,-2018] 1
20475h (2 curves)	0	3+ 5+ 7- 13+	-1 3+ 5+ 7-  6 13+  0  0
Curve Equation t 20475h1 [1,-1,1,-34505,2474872] 2 20475h2 [1,-1,1,-39380,1733872] 2
20475i (2 curves)	1	3+ 5+ 7- 13-	1 3+ 5+ 7-  0 13- -2 -4
Curve Equation t Generators 20475i1 [1,-1,0,-117,416] 2 [20:66:1] 20475i2 [1,-1,0,258,2291] 2 [-2:43:1]
20475j (2 curves)	1	3+ 5+ 7- 13-	1 3+ 5+ 7-  6 13-  4 -4
Curve Equation t Generators 20475j1 [1,-1,0,-3282942,-2288691409] 2 [19790:539927:8] 20475j2 [1,-1,0,-3287817,-2281549534] 2 [-1066:3858:1]
20475k (2 curves)	1	3+ 5+ 7- 13-	-1 3+ 5+ 7-  0 13-  2 -4
Curve Equation t Generators 20475k1 [1,-1,1,-1055,-10178] 2 [38:40:1] 20475k2 [1,-1,1,2320,-64178] 2 [70:626:1]
20475l (2 curves)	1	3+ 5+ 7- 13-	-1 3+ 5+ 7- -6 13- -4 -4
Curve Equation t Generators 20475l1 [1,-1,1,-29546480,61824214522] 2 [1384:152870:1] 20475l2 [1,-1,1,-29590355,61631427772] 2 [1379:152435:1]
20475m (1 curve)	1	3+ 5- 7+ 13-	1 3+ 5- 7+  0 13- -3  0
Curve Equation t Generators 20475m1 [1,-1,0,258,-251959] 1 [544:12403:1]
20475n (1 curve)	1	3+ 5- 7+ 13-	-1 3+ 5- 7+  0 13-  3  0
Curve Equation t Generators 20475n1 [1,-1,1,2320,6800572] 1 [-110:2336:1]
20475o (1 curve)	1	3+ 5- 7- 13+	1 3+ 5- 7-  4 13+ -5  0
Curve Equation t Generators 20475o1 [1,-1,0,-42,441] 1 [0:21:1]
20475p (1 curve)	1	3+ 5- 7- 13+	-1 3+ 5- 7- -4 13+  5  0
Curve Equation t Generators 20475p1 [1,-1,1,-380,-11528] 1 [64:440:1]
20475q (3 curves)	0	3- 5+ 7+ 13+	0 3- 5+ 7+  0 13+ -6 -7
Curve Equation t 20475q1 [0,0,1,-1650,-25844] 1 20475q2 [0,0,1,2850,-128219] 1 20475q3 [0,0,1,-26400,4069156] 1
20475r (4 curves)	0	3- 5+ 7+ 13+	1 3- 5+ 7+  0 13+  2  4
Curve Equation t 20475r1 [1,-1,0,1458,-23009] 2 20475r2 [1,-1,0,-8667,-215384] 4 20475r3 [1,-1,0,-126792,-17343509] 2 20475r4 [1,-1,0,-52542,4479241] 2
20475s (6 curves)	0	3- 5+ 7+ 13+	-1 3- 5+ 7+ -4 13+  2 -4
Curve Equation t 20475s1 [1,-1,1,33745,-13102378] 2 20475s2 [1,-1,1,-669380,-198727378] 4 20475s3 [1,-1,1,-10541255,-13170371128] 2 20475s4 [1,-1,1,-2047505,884478872] 4 20475s5 [1,-1,1,-30751880,65641548872] 2 20475s6 [1,-1,1,4606870,5436071372] 2
20475t (1 curve)	0	3- 5+ 7+ 13+	2 3- 5+ 7+ -4 13+  2  2
Curve Equation t 20475t1 [0,0,1,-75,-189] 1
20475u (1 curve)	0	3- 5+ 7+ 13+	-2 3- 5+ 7+  2 13+ -4  3
Curve Equation t 20475u1 [0,0,1,-5925,-200844] 1
20475v (4 curves)	1	3- 5+ 7+ 13-	-1 3- 5+ 7+  4 13-  2  0
Curve Equation t Generators 20475v1 [1,-1,1,-229730,42025272] 4 [-546:2385:1] 20475v2 [1,-1,1,-419855,-37446978] 4 [-591:2295:1] 20475v3 [1,-1,1,-5436230,-4873232478] 2 [-5631216:-362065:4096] 20475v4 [1,-1,1,1554520,-290166978] 2 [1590:40473:8]
20475w (4 curves)	1	3- 5+ 7- 13+	1 3- 5+ 7-  0 13+  2 -4
Curve Equation t Generators 20475w1 [1,-1,0,-52542,3896991] 2 [582:5109:8] 20475w2 [1,-1,0,-242667,-42303384] 4 [120420:3045438:125] 20475w3 [1,-1,0,-3796542,-2846310759] 2 [74982:7050009:8] 20475w4 [1,-1,0,269208,-197401509] 2 [23666970:-732028453:27000]
20475x (4 curves)	1	3- 5+ 7- 13+	1 3- 5+ 7- -4 13+ -2  4
Curve Equation t Generators 20475x1 [1,-1,0,-32067,2218216] 2 [3000:2092:27] 20475x2 [1,-1,0,-33192,2055091] 4 [218:2159:1] 20475x3 [1,-1,0,-135567,-17089034] 2 [3694:32659:8] 20475x4 [1,-1,0,51183,10745716] 2 [-16:3158:1]
20475y (4 curves)	1	3- 5+ 7- 13+	-1 3- 5+ 7-  0 13+ -6  0
Curve Equation t Generators 20475y1 [1,-1,1,-15005,-703628] 2 [-70:38:1] 20475y2 [1,-1,1,-16130,-591128] 4 [-76:475:1] 20475y3 [1,-1,1,-89255,9792622] 2 [-226:4400:1] 20475y4 [1,-1,1,38995,-3788378] 2 [239:4255:1]
20475z (4 curves)	0	3- 5+ 7- 13-	1 3- 5+ 7-  0 13- -2 -4
Curve Equation t 20475z1 [1,-1,0,-11292,-329509] 2 20475z2 [1,-1,0,-66417,6340616] 4 20475z3 [1,-1,0,-1050792,414856241] 2 20475z4 [1,-1,0,35958,24051491] 2
20475ba (4 curves)	0	3- 5+ 7- 13-	1 3- 5+ 7- -4 13-  6  8
Curve Equation t 20475ba1 [1,-1,0,-6417,-44384] 2 20475ba2 [1,-1,0,-61542,5853991] 4 20475ba3 [1,-1,0,-982917,375325366] 2 20475ba4 [1,-1,0,-22167,13217116] 2
20475bb (1 curve)	0	3- 5+ 7- 13-	2 3- 5+ 7-  2 13-  0  1
Curve Equation t 20475bb1 [0,0,1,571425,534192781] 1
20475bc (1 curve)	0	3- 5+ 7- 13-	-2 3- 5+ 7-  6 13-  4  5
Curve Equation t 20475bc1 [0,0,1,225,-844] 1
20475bd (2 curves)	1	3- 5- 7+ 13+	1 3- 5- 7+ -6 13+  2  0
Curve Equation t Generators 20475bd1 [1,-1,0,-54117,4822416] 2 [0:2196:1] 20475bd2 [1,-1,0,-93492,-3091959] 2 [-3500:88919:64]
20475be (2 curves)	0	3- 5- 7+ 13-	-1 3- 5- 7+  0 13- -6  2
Curve Equation t 20475be1 [1,-1,1,-22055,1196822] 2 20475be2 [1,-1,1,17320,4976822] 2
20475bf (2 curves)	0	3- 5- 7+ 13-	-1 3- 5- 7+  6 13-  0  2
Curve Equation t 20475bf1 [1,-1,1,-44735,-3588658] 2 20475bf2 [1,-1,1,-6710,-9520558] 2
20475bg (2 curves)	0	3- 5- 7- 13+	1 3- 5- 7-  0 13+  6  2
Curve Equation t 20475bg1 [1,-1,0,-882,9751] 2 20475bg2 [1,-1,0,693,39676] 2
20475bh (2 curves)	0	3- 5- 7- 13+	1 3- 5- 7-  6 13+  0  2
Curve Equation t 20475bh1 [1,-1,0,-1118367,-449700584] 2 20475bh2 [1,-1,0,-167742,-1190237459] 2
20475bi (2 curves)	1	3- 5- 7- 13-	-1 3- 5- 7- -6 13- -2  0
Curve Equation t Generators 20475bi1 [1,-1,1,-2165,39012] 2 [-6:230:1] 20475bi2 [1,-1,1,-3740,-23988] 2 [-15:176:1]
20475bj (1 curve)	1	3- 5- 7- 13-	-2 3- 5- 7- -4 13- -2  2
Curve Equation t Generators 20475bj1 [0,0,1,-1875,-23594] 1 [-25:87:1]

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