Cremona's table of elliptic curves

7200 = 2⁵ · 3² · 5²

Class	r	Atkin-Lehner	Eigenvalues
7200a (2 curves)	1	2+ 3+ 5+	2+ 3+ 5+  0  0  6 -8  0
Curve Equation t Generators 7200a1 [0,0,0,675,0] 2 [1:26:1] 7200a2 [0,0,0,-2700,0] 2 [-50:100:1]
7200b (2 curves)	1	2+ 3+ 5+	2+ 3+ 5+  2 -2  0  2 -4
Curve Equation t Generators 7200b1 [0,0,0,75,500] 2 [1:24:1] 7200b2 [0,0,0,-675,5750] 2 [5:50:1]
7200c (2 curves)	1	2+ 3+ 5+	2+ 3+ 5+ -2 -2  0 -2  4
Curve Equation t Generators 7200c1 [0,0,0,675,13500] 2 [-5:100:1] 7200c2 [0,0,0,-6075,155250] 2 [130:1250:1]
7200d (2 curves)	0	2+ 3+ 5-	2+ 3+ 5-  0  0  4  2  0
Curve Equation t 7200d1 [0,0,0,135,0] 2 7200d2 [0,0,0,-540,0] 2
7200e (2 curves)	0	2+ 3+ 5-	2+ 3+ 5-  0  0 -4  2  0
Curve Equation t 7200e1 [0,0,0,375,0] 2 7200e2 [0,0,0,-1500,0] 2
7200f (4 curves)	0	2+ 3- 5+	2+ 3- 5+  0  0 -2  6 -4
Curve Equation t 7200f1 [0,0,0,-2325,38500] 4 7200f2 [0,0,0,-9075,-292250] 2 7200f3 [0,0,0,-36075,2637250] 2 7200f4 [0,0,0,3300,196000] 2
7200g (4 curves)	0	2+ 3- 5+	2+ 3- 5+  0  4 -2 -2 -8
Curve Equation t 7200g1 [0,0,0,-1425,7000] 4 7200g2 [0,0,0,-12675,-544250] 2 7200g3 [0,0,0,-18300,952000] 2 7200g4 [0,0,0,5325,54250] 2
7200h (4 curves)	0	2+ 3- 5+	2+ 3- 5+  0 -4 -2 -2  8
Curve Equation t 7200h1 [0,0,0,-1425,-7000] 4 7200h2 [0,0,0,-18300,-952000] 2 7200h3 [0,0,0,-12675,544250] 2 7200h4 [0,0,0,5325,-54250] 2
7200i (1 curve)	0	2+ 3- 5+	2+ 3- 5+ -1  4  3 -4 -1
Curve Equation t 7200i1 [0,0,0,15000,-1150000] 1
7200j (2 curves)	0	2+ 3- 5+	2+ 3- 5+  2  4  6  2  8
Curve Equation t 7200j1 [0,0,0,-1425,-20500] 2 7200j2 [0,0,0,-300,-52000] 2
7200k (1 curve)	0	2+ 3- 5+	2+ 3- 5+  2 -5  0  5  5
Curve Equation t 7200k1 [0,0,0,-75,290] 1
7200l (1 curve)	0	2+ 3- 5+	2+ 3- 5+  3 -4  7  4 -1
Curve Equation t 7200l1 [0,0,0,-1560,-176560] 1
7200m (1 curve)	0	2+ 3- 5+	2+ 3- 5+ -3  0 -5  0  5
Curve Equation t 7200m1 [0,0,0,-6600,-206480] 1
7200n (1 curve)	0	2+ 3- 5+	2+ 3- 5+ -3  4  7  4  1
Curve Equation t 7200n1 [0,0,0,-1560,176560] 1
7200o (4 curves)	0	2+ 3- 5+	2+ 3- 5+  4 -4  2 -6 -4
Curve Equation t 7200o1 [0,0,0,-525,-2500] 4 7200o2 [0,0,0,-7275,-238750] 2 7200o3 [0,0,0,-3900,92000] 2 7200o4 [0,0,0,1725,-18250] 2
7200p (4 curves)	0	2+ 3- 5+	2+ 3- 5+ -4  4 -6  2 -4
Curve Equation t 7200p1 [0,0,0,-50925,4335500] 4 7200p2 [0,0,0,-111675,-7996750] 2 7200p3 [0,0,0,-810300,280748000] 2 7200p4 [0,0,0,5325,13391750] 2
7200q (2 curves)	1	2+ 3- 5-	2+ 3- 5-  0  0 -4  8  0
Curve Equation t Generators 7200q1 [0,0,0,-45,0] 2 [-5:10:1] 7200q2 [0,0,0,180,0] 2 [6:36:1]
7200r (1 curve)	1	2+ 3- 5-	2+ 3- 5-  1  0  1  0  3
Curve Equation t Generators 7200r1 [0,0,0,-3000,-110000] 1 [200:2700:1]
7200s (1 curve)	1	2+ 3- 5-	2+ 3- 5- -1  0  1  0 -3
Curve Equation t Generators 7200s1 [0,0,0,-3000,110000] 1 [100:900:1]
7200t (1 curve)	1	2+ 3- 5-	2+ 3- 5- -1 -4 -3  4  1
Curve Equation t Generators 7200t1 [0,0,0,600,9200] 1 [4:108:1]
7200u (1 curve)	1	2+ 3- 5-	2+ 3- 5-  2  5  0 -5 -5
Curve Equation t Generators 7200u1 [0,0,0,-1875,-36250] 1 [1229:43058:1]
7200v (2 curves)	1	2+ 3- 5-	2+ 3- 5-  2 -6  2 -6 -4
Curve Equation t Generators 7200v1 [0,0,0,15,-200] 2 [11:36:1] 7200v2 [0,0,0,-435,-3350] 2 [26:54:1]
7200w (2 curves)	1	2+ 3- 5-	2+ 3- 5- -2  6  2 -6  4
Curve Equation t Generators 7200w1 [0,0,0,15,200] 2 [4:18:1] 7200w2 [0,0,0,-435,3350] 2 [1:54:1]
7200x (1 curve)	1	2+ 3- 5-	2+ 3- 5- -3  0  5  0 -5
Curve Equation t Generators 7200x1 [0,0,0,-165000,25810000] 1 [200:900:1]
7200y (2 curves)	1	2+ 3- 5-	2+ 3- 5-  4  0 -4  0 -8
Curve Equation t Generators 7200y1 [0,0,0,-121125,-16225000] 2 [165823:2120238:343] 7200y2 [0,0,0,-115500,-17800000] 2 [694:15372:1]
7200z (2 curves)	1	2+ 3- 5-	2+ 3- 5- -4  0 -4  0  8
Curve Equation t Generators 7200z1 [0,0,0,-121125,16225000] 2 [75:2750:1] 7200z2 [0,0,0,-115500,17800000] 2 [86:2916:1]
7200ba (2 curves)	0	2- 3+ 5+	2- 3+ 5+  0  0  6  8  0
Curve Equation t 7200ba1 [0,0,0,75,0] 2 7200ba2 [0,0,0,-300,0] 2
7200bb (2 curves)	0	2- 3+ 5+	2- 3+ 5+  2  2  0 -2 -4
Curve Equation t 7200bb1 [0,0,0,675,-13500] 2 7200bb2 [0,0,0,-6075,-155250] 2
7200bc (2 curves)	0	2- 3+ 5+	2- 3+ 5+ -2  2  0  2  4
Curve Equation t 7200bc1 [0,0,0,75,-500] 2 7200bc2 [0,0,0,-675,-5750] 2
7200bd (2 curves)	1	2- 3+ 5-	2- 3+ 5-  0  0  4 -2  0
Curve Equation t Generators 7200bd1 [0,0,0,15,0] 2 [1:4:1] 7200bd2 [0,0,0,-60,0] 2 [-6:12:1]
7200be (2 curves)	1	2- 3+ 5-	2- 3+ 5-  0  0 -4 -2  0
Curve Equation t Generators 7200be1 [0,0,0,3375,0] 2 [49:532:1] 7200be2 [0,0,0,-13500,0] 2 [-54:756:1]
7200bf (4 curves)	1	2- 3- 5+	2- 3- 5+  0  0 -2  6  4
Curve Equation t Generators 7200bf1 [0,0,0,-2325,-38500] 4 [61:216:1] 7200bf2 [0,0,0,-36075,-2637250] 2 [1186:40284:1] 7200bf3 [0,0,0,-9075,292250] 2 [10:450:1] 7200bf4 [0,0,0,3300,-196000] 2 [94:972:1]
7200bg (4 curves)	1	2- 3- 5+	2- 3- 5+  0  0 -6  2  0
Curve Equation t Generators 7200bg1 [0,0,0,-225,0] 4 [-9:36:1] 7200bg2 [0,0,0,-2475,-47250] 2 [70:350:1] 7200bg3 [0,0,0,-2475,47250] 2 [66:414:1] 7200bg4 [0,0,0,900,0] 2 [10:100:1]
7200bh (1 curve)	1	2- 3- 5+	2- 3- 5+  1  0 -1  0 -3
Curve Equation t Generators 7200bh1 [0,0,0,-120,880] 1 [-4:36:1]
7200bi (1 curve)	1	2- 3- 5+	2- 3- 5+  1 -4  3 -4  1
Curve Equation t Generators 7200bi1 [0,0,0,15000,1150000] 1 [-4:1044:1]
7200bj (1 curve)	1	2- 3- 5+	2- 3- 5+ -1  0 -1  0  3
Curve Equation t Generators 7200bj1 [0,0,0,-120,-880] 1 [16:36:1]
7200bk (2 curves)	1	2- 3- 5+	2- 3- 5+ -2 -4  6  2 -8
Curve Equation t Generators 7200bk1 [0,0,0,-1425,20500] 2 [15:50:1] 7200bk2 [0,0,0,-300,52000] 2 [5:225:1]
7200bl (1 curve)	1	2- 3- 5+	2- 3- 5+ -2  5  0  5 -5
Curve Equation t Generators 7200bl1 [0,0,0,-75,-290] 1 [21:86:1]
7200bm (1 curve)	1	2- 3- 5+	2- 3- 5+  3  0 -5  0 -5
Curve Equation t Generators 7200bm1 [0,0,0,-6600,206480] 1 [16:324:1]
7200bn (4 curves)	1	2- 3- 5+	2- 3- 5+  4  0  2 -6  0
Curve Equation t Generators 7200bn1 [0,0,0,-6825,-209000] 4 [585:14000:1] 7200bn2 [0,0,0,-108075,-13675250] 2 [545:9450:1] 7200bn3 [0,0,0,-18075,657250] 2 [-130:900:1] 7200bn4 [0,0,0,3300,-776000] 2 [90:500:1]
7200bo (4 curves)	1	2- 3- 5+	2- 3- 5+  4 -4 -6  2  4
Curve Equation t Generators 7200bo1 [0,0,0,-50925,-4335500] 4 [100945:2742012:125] 7200bo2 [0,0,0,-810300,-280748000] 2 [3230:175500:1] 7200bo3 [0,0,0,-111675,7996750] 2 [45:1750:1] 7200bo4 [0,0,0,5325,-13391750] 2 [23694738710:-662136126561:29791000]
7200bp (4 curves)	1	2- 3- 5+	2- 3- 5+ -4  0  2 -6  0
Curve Equation t Generators 7200bp1 [0,0,0,-6825,209000] 4 [-41:648:1] 7200bp2 [0,0,0,-18075,-657250] 2 [-95:450:1] 7200bp3 [0,0,0,-108075,13675250] 2 [130:1350:1] 7200bp4 [0,0,0,3300,776000] 2 [10:900:1]
7200bq (4 curves)	1	2- 3- 5+	2- 3- 5+ -4  4  2 -6  4
Curve Equation t Generators 7200bq1 [0,0,0,-525,2500] 4 [0:50:1] 7200bq2 [0,0,0,-3900,-92000] 2 [-34:36:1] 7200bq3 [0,0,0,-7275,238750] 2 [5:450:1] 7200bq4 [0,0,0,1725,18250] 2 [90:950:1]
7200br (2 curves)	0	2- 3- 5-	2- 3- 5-  0  0  4 -8  0
Curve Equation t 7200br1 [0,0,0,-1125,0] 2 7200br2 [0,0,0,4500,0] 2
7200bs (1 curve)	0	2- 3- 5-	2- 3- 5-  1  4 -3  4 -1
Curve Equation t 7200bs1 [0,0,0,600,-9200] 1
7200bt (2 curves)	0	2- 3- 5-	2- 3- 5-  2  6 -2  6  4
Curve Equation t 7200bt1 [0,0,0,375,25000] 2 7200bt2 [0,0,0,-10875,418750] 2
7200bu (1 curve)	0	2- 3- 5-	2- 3- 5- -2 -5  0 -5  5
Curve Equation t 7200bu1 [0,0,0,-1875,36250] 1
7200bv (2 curves)	0	2- 3- 5-	2- 3- 5- -2 -6 -2  6 -4
Curve Equation t 7200bv1 [0,0,0,375,-25000] 2 7200bv2 [0,0,0,-10875,-418750] 2
7200bw (1 curve)	0	2- 3- 5-	2- 3- 5-  3  0  5  0  5
Curve Equation t 7200bw1 [0,0,0,-165000,-25810000] 1
7200bx (1 curve)	0	2- 3- 5-	2- 3- 5-  3  4 -7 -4  1
Curve Equation t 7200bx1 [0,0,0,-39000,22070000] 1
7200by (1 curve)	0	2- 3- 5-	2- 3- 5- -3 -4 -7 -4 -1
Curve Equation t 7200by1 [0,0,0,-39000,-22070000] 1
7200bz (2 curves)	0	2- 3- 5-	2- 3- 5-  4  0  4  0  8
Curve Equation t 7200bz1 [0,0,0,-4845,129800] 2 7200bz2 [0,0,0,-4620,142400] 2
7200ca (2 curves)	0	2- 3- 5-	2- 3- 5- -4  0  4  0 -8
Curve Equation t 7200ca1 [0,0,0,-4845,-129800] 2 7200ca2 [0,0,0,-4620,-142400] 2

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