Cremona's table of elliptic curves

15300 = 2² · 3² · 5² · 17

Class	r	Atkin-Lehner	Eigenvalues
15300a (1 curve)	0	2- 3+ 5+ 17+	2- 3+ 5+  1 -1  0 17+ -3
Curve Equation t 15300a1 [0,0,0,675,-30375] 1
15300b (2 curves)	0	2- 3+ 5+ 17+	2- 3+ 5+  1  3  4 17+  5
Curve Equation t 15300b1 [0,0,0,-62325,5989625] 1 15300b2 [0,0,0,14175,19436625] 1
15300c (2 curves)	0	2- 3+ 5+ 17+	2- 3+ 5+ -2 -3  1 17+ -7
Curve Equation t 15300c1 [0,0,0,-600,-35500] 1 15300c2 [0,0,0,-102600,-12649500] 1
15300d (2 curves)	0	2- 3+ 5+ 17+	2- 3+ 5+ -4  4 -6 17+  4
Curve Equation t 15300d1 [0,0,0,2700,-43875] 2 15300d2 [0,0,0,-14175,-398250] 2
15300e (1 curve)	1	2- 3+ 5+ 17-	2- 3+ 5+  1  1  0 17- -3
Curve Equation t Generators 15300e1 [0,0,0,75,1125] 1 [15:75:1]
15300f (2 curves)	1	2- 3+ 5+ 17-	2- 3+ 5+  1 -3  4 17-  5
Curve Equation t Generators 15300f1 [0,0,0,1575,-719875] 1 [11140:140625:64] 15300f2 [0,0,0,-560925,-161719875] 1 [1635:57375:1]
15300g (2 curves)	1	2- 3+ 5+ 17-	2- 3+ 5+ -2  3  1 17- -7
Curve Equation t Generators 15300g1 [0,0,0,-11400,468500] 1 [61:9:1] 15300g2 [0,0,0,-5400,958500] 1 [24:918:1]
15300h (2 curves)	1	2- 3+ 5+ 17-	2- 3+ 5+ -4 -4 -6 17-  4
Curve Equation t Generators 15300h1 [0,0,0,300,1625] 2 [10:75:1] 15300h2 [0,0,0,-1575,14750] 2 [-5:150:1]
15300i (1 curve)	1	2- 3+ 5- 17+	2- 3+ 5-  3 -3  6 17+ -7
Curve Equation t Generators 15300i1 [0,0,0,-1125,15625] 1 [0:125:1]
15300j (1 curve)	1	2- 3+ 5- 17+	2- 3+ 5- -3  3 -6 17+ -7
Curve Equation t Generators 15300j1 [0,0,0,-405,-3375] 1 [24:27:1]
15300k (1 curve)	0	2- 3+ 5- 17-	2- 3+ 5-  3  3  6 17- -7
Curve Equation t 15300k1 [0,0,0,-10125,-421875] 1
15300l (1 curve)	2	2- 3+ 5- 17-	2- 3+ 5- -3 -3 -6 17- -7
Curve Equation t Generators 15300l1 [0,0,0,-45,125] 1 [-5:15:1]&[1:9:1]
15300m (2 curves)	1	2- 3- 5+ 17+	2- 3- 5+  0  6 -2 17+ -8
Curve Equation t Generators 15300m1 [0,0,0,-5700,156625] 2 [20:225:1] 15300m2 [0,0,0,4425,652750] 2 [15:850:1]
15300n (2 curves)	1	2- 3- 5+ 17+	2- 3- 5+  1  0  1 17+ -4
Curve Equation t Generators 15300n1 [0,0,0,105,110] 1 [-1:2:1] 15300n2 [0,0,0,-1695,27830] 1 [-46:92:1]
15300o (2 curves)	1	2- 3- 5+ 17+	2- 3- 5+  1  3  4 17+ -7
Curve Equation t Generators 15300o1 [0,0,0,-1425,-37375] 1 [85:675:1] 15300o2 [0,0,0,12075,718625] 1 [40:1125:1]
15300p (1 curve)	1	2- 3- 5+ 17+	2- 3- 5+  1 -3  2 17+  1
Curve Equation t Generators 15300p1 [0,0,0,-1425,260125] 1 [60:625:1]
15300q (1 curve)	1	2- 3- 5+ 17+	2- 3- 5+  3 -3  4 17+  1
Curve Equation t Generators 15300q1 [0,0,0,-276825,-56075375] 1 [1565:57825:1]
15300r (1 curve)	1	2- 3- 5+ 17+	2- 3- 5+ -4 -3 -3 17+  1
Curve Equation t Generators 15300r1 [0,0,0,-364800,84926500] 1 [476:4374:1]
15300s (2 curves)	0	2- 3- 5+ 17-	2- 3- 5+  0  2 -2 17-  8
Curve Equation t 15300s1 [0,0,0,-99117300,-379783418875] 2 15300s2 [0,0,0,-91736175,-438736464250] 2
15300t (1 curve)	0	2- 3- 5+ 17-	2- 3- 5+  0 -5  5 17-  1
Curve Equation t 15300t1 [0,0,0,-1200,24500] 1
15300u (1 curve)	0	2- 3- 5+ 17-	2- 3- 5+ -1  2  3 17-  1
Curve Equation t 15300u1 [0,0,0,-570000,-165737500] 1
15300v (1 curve)	0	2- 3- 5+ 17-	2- 3- 5+  3  2 -5 17- -7
Curve Equation t 15300v1 [0,0,0,-117120,25319540] 1
15300w (1 curve)	0	2- 3- 5+ 17-	2- 3- 5+ -3 -1  2 17-  1
Curve Equation t 15300w1 [0,0,0,6675,-185375] 1
15300x (2 curves)	0	2- 3- 5+ 17-	2- 3- 5+  4 -2  6 17-  0
Curve Equation t 15300x1 [0,0,0,-6300,-192375] 2 15300x2 [0,0,0,-5175,-263250] 2
15300y (1 curve)	0	2- 3- 5+ 17-	2- 3- 5+  5  5  0 17-  1
Curve Equation t 15300y1 [0,0,0,-38325,-21200875] 1
15300z (2 curves)	2	2- 3- 5+ 17-	2- 3- 5+ -5 -3 -2 17- -7
Curve Equation t Generators 15300z1 [0,0,0,-19425,1168625] 1 [17355:-430525:27]&[-155:675:1] 15300z2 [0,0,0,-1625925,797992625] 1 [-1240:30125:1]&[736:9:1]
15300ba (2 curves)	0	2- 3- 5- 17+	2- 3- 5-  0  0  0 17+ -4
Curve Equation t 15300ba1 [0,0,0,-660,-875] 2 15300ba2 [0,0,0,-6735,211750] 2
15300bb (1 curve)	0	2- 3- 5- 17+	2- 3- 5-  1  2 -3 17+  1
Curve Equation t 15300bb1 [0,0,0,-22800,-1325900] 1
15300bc (1 curve)	0	2- 3- 5- 17+	2- 3- 5-  1  5 -4 17+  1
Curve Equation t 15300bc1 [0,0,0,-345,-4475] 1
15300bd (1 curve)	0	2- 3- 5- 17+	2- 3- 5- -3  2  5 17+ -7
Curve Equation t 15300bd1 [0,0,0,-2928000,3164942500] 1
15300be (1 curve)	0	2- 3- 5- 17+	2- 3- 5- -3 -3  0 17+ -7
Curve Equation t 15300be1 [0,0,0,801375,-712746875] 1
15300bf (2 curves)	1	2- 3- 5- 17-	2- 3- 5-  0  0  0 17- -4
Curve Equation t Generators 15300bf1 [0,0,0,-16500,-109375] 2 [-44:729:1] 15300bf2 [0,0,0,-168375,26468750] 2 [-125:6750:1]
15300bg (2 curves)	1	2- 3- 5- 17-	2- 3- 5- -1  0 -1 17- -4
Curve Equation t Generators 15300bg1 [0,0,0,2625,13750] 1 [19206:231902:729] 15300bg2 [0,0,0,-42375,3478750] 3 [126:374:1]
15300bh (1 curve)	1	2- 3- 5- 17-	2- 3- 5- -1  5  4 17-  1
Curve Equation t Generators 15300bh1 [0,0,0,-8625,-559375] 1 [475:10125:1]
15300bi (1 curve)	1	2- 3- 5- 17-	2- 3- 5-  3 -3  0 17- -7
Curve Equation t Generators 15300bi1 [0,0,0,32055,-5701975] 1 [175:2295:1]

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