Cremona's table of elliptic curves

21525 = 3 · 5² · 7 · 41

Class	r	Atkin-Lehner	Eigenvalues
21525a (2 curves)	1	3+ 5+ 7+ 41+	0 3+ 5+ 7+  0  4  6  5
Curve Equation t Generators 21525a1 [0,-1,1,-10633,-927957] 1 [7897:701662:1] 21525a2 [0,-1,1,-1124383,-458527332] 1 [54366448:4794161908:6859]
21525b (2 curves)	1	3+ 5+ 7+ 41+	1 3+ 5+ 7+ -2  4 -4 -2
Curve Equation t Generators 21525b1 [1,1,0,-460400,120046875] 2 [374:401:1] 21525b2 [1,1,0,-444775,128593750] 2 [1950:46175:8]
21525c (1 curve)	1	3+ 5+ 7+ 41+	1 3+ 5+ 7+ -2 -5  2 -2
Curve Equation t Generators 21525c1 [1,1,0,-175,1750] 1 [6:28:1]
21525d (6 curves)	0	3+ 5+ 7+ 41-	1 3+ 5+ 7+  4  2  6 -4
Curve Equation t 21525d1 [1,1,0,-14625,450000] 2 21525d2 [1,1,0,-92750,-10565625] 4 21525d3 [1,1,0,35375,-37343750] 2 21525d4 [1,1,0,-1470875,-687225000] 4 21525d5 [1,1,0,-1457750,-700074375] 2 21525d6 [1,1,0,-23534000,-43953013125] 2
21525e (1 curve)	0	3+ 5+ 7+ 41-	2 3+ 5+ 7+  0 -6  7  4
Curve Equation t 21525e1 [0,-1,1,-192708,32797193] 1
21525f (1 curve)	0	3+ 5+ 7+ 41-	2 3+ 5+ 7+ -3  0  1 -2
Curve Equation t 21525f1 [0,-1,1,92742,-20592457] 1
21525g (2 curves)	1	3+ 5+ 7- 41-	1 3+ 5+ 7-  0 -2  0  0
Curve Equation t Generators 21525g1 [1,1,0,-1025,0] 2 [196:2618:1] 21525g2 [1,1,0,4100,5125] 2 [4:145:1]
21525h (4 curves)	1	3+ 5+ 7- 41-	1 3+ 5+ 7-  0 -2 -6  0
Curve Equation t Generators 21525h1 [1,1,0,-139625,-15666000] 2 [-1930:17065:8] 21525h2 [1,1,0,-2092750,-1166056625] 4 [1130888:35614637:512] 21525h3 [1,1,0,-1952125,-1329322250] 4 [53170:12229540:1] 21525h4 [1,1,0,-33483375,-74588728500] 2 [173091627432:-18289218618207:12487168]
21525i (6 curves)	1	3+ 5+ 7- 41-	1 3+ 5+ 7- -4 -6  6  4
Curve Equation t Generators 21525i1 [1,1,0,-2118875,1186269000] 2 [820:590:1] 21525i2 [1,1,0,-2119000,1186121875] 4 [-770:48985:1] 21525i3 [1,1,0,-1867875,1478180250] 2 [-378168:25560471:512] 21525i4 [1,1,0,-2372125,884650000] 4 [20900:3003050:1] 21525i5 [1,1,0,7083500,6189255625] 4 [400:95125:1] 21525i6 [1,1,0,-15877750,-23709093125] 2 [-2550:15625:1]
21525j (1 curve)	1	3+ 5+ 7- 41-	1 3+ 5+ 7- -6  7  6 -6
Curve Equation t Generators 21525j1 [1,1,0,73525,2325750] 1 [1246:44436:1]
21525k (2 curves)	1	3+ 5+ 7- 41-	-1 3+ 5+ 7-  4  2 -4 -4
Curve Equation t Generators 21525k1 [1,1,1,-33838,-2409094] 2 [4936:344118:1] 21525k2 [1,1,1,-28713,-3157344] 2 [214:638:1]
21525l (1 curve)	1	3+ 5+ 7- 41-	-1 3+ 5+ 7- -6 -3  6  6
Curve Equation t Generators 21525l1 [1,1,1,17662,-8046844] 1 [284:4327:1]
21525m (1 curve)	1	3+ 5+ 7- 41-	2 3+ 5+ 7- -5  2  2 -4
Curve Equation t Generators 21525m1 [0,-1,1,-7708,283443] 1 [234:2289:8]
21525n (1 curve)	1	3+ 5+ 7- 41-	-2 3+ 5+ 7-  5  0 -3 -2
Curve Equation t Generators 21525n1 [0,-1,1,-8,-2332] 1 [22:87:1]
21525o (2 curves)	1	3+ 5- 7+ 41-	1 3+ 5- 7+ -2  2  2  2
Curve Equation t Generators 21525o1 [1,1,0,-70,175] 2 [6:1:1] 21525o2 [1,1,0,-1095,13500] 2 [20:0:1]
21525p (2 curves)	1	3+ 5- 7+ 41-	-1 3+ 5- 7+ -2  2 -2 -6
Curve Equation t Generators 21525p1 [1,1,1,-133013,-18717094] 2 [3266:183833:1] 21525p2 [1,1,1,-158638,-11029594] 2 [460:3457:1]
21525q (1 curve)	1	3+ 5- 7- 41+	0 3+ 5- 7-  2 -2 -4 -3
Curve Equation t Generators 21525q1 [0,-1,1,-243,2063] 1 [-3:52:1]
21525r (1 curve)	1	3+ 5- 7- 41+	0 3+ 5- 7-  3  0 -6  2
Curve Equation t Generators 21525r1 [0,-1,1,-58833,-5473057] 1 [317:2762:1]
21525s (1 curve)	1	3+ 5- 7- 41+	-2 3+ 5- 7- -4 -4 -3 -4
Curve Equation t Generators 21525s1 [0,-1,1,42,2318] 1 [17:-88:1]
21525t (1 curve)	0	3- 5+ 7+ 41+	0 3- 5+ 7+  3  0  6  2
Curve Equation t 21525t1 [0,1,1,-2353,-44726] 1
21525u (1 curve)	0	3- 5+ 7+ 41+	0 3- 5+ 7+ -3  0 -3  2
Curve Equation t 21525u1 [0,1,1,-9637033,-11584351406] 1
21525v (4 curves)	0	3- 5+ 7+ 41+	1 3- 5+ 7+  0 -2  2 -4
Curve Equation t 21525v1 [1,0,1,74,-877] 2 21525v2 [1,0,1,-1051,-12127] 4 21525v3 [1,0,1,-3676,71873] 2 21525v4 [1,0,1,-16426,-811627] 2
21525w (2 curves)	0	3- 5+ 7+ 41+	-1 3- 5+ 7+  2  4  0  2
Curve Equation t 21525w1 [1,0,0,-84713,-9497208] 2 21525w2 [1,0,0,-84088,-9644083] 2
21525x (1 curve)	0	3- 5+ 7+ 41+	2 3- 5+ 7+  3  4 -1  6
Curve Equation t 21525x1 [0,1,1,-246758,47098769] 1
21525y (1 curve)	0	3- 5+ 7+ 41+	2 3- 5+ 7+ -4  4  3 -4
Curve Equation t 21525y1 [0,1,1,2,19] 1
21525z (2 curves)	1	3- 5+ 7+ 41-	1 3- 5+ 7+  0 -2  4  0
Curve Equation t Generators 21525z1 [1,0,1,-23776,1408073] 2 [91:-34:1] 21525z2 [1,0,1,-18651,2033323] 2 [83:987:1]
21525ba (4 curves)	2	3- 5+ 7- 41-	-1 3- 5+ 7- -4 -6 -2 -4
Curve Equation t Generators 21525ba1 [1,0,0,-20188,1102367] 2 [37:619:1]&[62:269:1] 21525ba2 [1,0,0,-20313,1087992] 4 [-153:864:1]&[-72:1512:1] 21525ba3 [1,0,0,3312,3474117] 2 [-132:927:1]&[-93:1584:1] 21525ba4 [1,0,0,-45938,-2217633] 2 [-158:1129:1]&[-137:1297:1]
21525bb (1 curve)	1	3- 5- 7+ 41+	0 3- 5- 7+  2  2  4 -3
Curve Equation t Generators 21525bb1 [0,1,1,-6083,245744] 1 [-92:187:1]
21525bc (1 curve)	2	3- 5- 7+ 41-	-2 3- 5- 7+ -5 -2 -2 -4
Curve Equation t Generators 21525bc1 [0,1,1,-308,2144] 1 [-17:52:1]&[13:-23:1]
21525bd (2 curves)	1	3- 5- 7- 41-	1 3- 5- 7- -2 -2  2 -6
Curve Equation t Generators 21525bd1 [1,0,1,-5321,-149737] 2 [101:537:1] 21525bd2 [1,0,1,-6346,-88237] 2 [147:1396:1]
21525be (2 curves)	1	3- 5- 7- 41-	-1 3- 5- 7- -2 -2 -2  2
Curve Equation t Generators 21525be1 [1,0,0,-1763,25392] 2 [33:42:1] 21525be2 [1,0,0,-27388,1742267] 2 [101:44:1]
21525bf (1 curve)	1	3- 5- 7- 41-	-2 3- 5- 7-  0  6 -7  4
Curve Equation t Generators 21525bf1 [0,1,1,-7708,259294] 1 [82:430:1]

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