Cremona's table of elliptic curves

31800 = 2³ · 3 · 5² · 53

Class	r	Atkin-Lehner	Eigenvalues
31800a (1 curve)	1	2+ 3+ 5+ 53+	2+ 3+ 5+ -1 -5  0 -2  5
Curve Equation t Generators 31800a1 [0,-1,0,-408,4812] 1 [17:50:1]
31800b (2 curves)	1	2+ 3+ 5+ 53+	2+ 3+ 5+  2  0  2 -2 -6
Curve Equation t Generators 31800b1 [0,-1,0,-52508,4605012] 2 [121:92:1] 31800b2 [0,-1,0,-12008,11490012] 2 [-238:900:1]
31800c (1 curve)	1	2+ 3+ 5+ 53+	2+ 3+ 5+ -3  5  6  3  2
Curve Equation t Generators 31800c1 [0,-1,0,-164073,23706477] 1 [-132:6561:1]
31800d (1 curve)	1	2+ 3+ 5+ 53+	2+ 3+ 5+ -4  3  2  7  6
Curve Equation t Generators 31800d1 [0,-1,0,-808,-10388] 1 [458:2859:8]
31800e (2 curves)	0	2+ 3+ 5+ 53-	2+ 3+ 5+ -2  0 -4  0  0
Curve Equation t 31800e1 [0,-1,0,-21577565008,-1219968914869988] 2 31800e2 [0,-1,0,-21754712008,-1198918536859988] 2
31800f (1 curve)	2	2+ 3+ 5+ 53-	2+ 3+ 5+ -2  0 -4 -7  0
Curve Equation t Generators 31800f1 [0,-1,0,367,-363] 1 [1:2:1]&[7:50:1]
31800g (1 curve)	0	2+ 3+ 5+ 53-	2+ 3+ 5+  3  5  6  0  5
Curve Equation t 31800g1 [0,-1,0,-84008,9444012] 1
31800h (2 curves)	0	2+ 3+ 5+ 53-	2+ 3+ 5+  4 -6  2  0 -6
Curve Equation t 31800h1 [0,-1,0,992,-1988] 2 31800h2 [0,-1,0,-4008,-11988] 2
31800i (2 curves)	0	2+ 3+ 5- 53+	2+ 3+ 5-  2  0 -4 -2 -8
Curve Equation t 31800i1 [0,-1,0,-348,-2508] 2 31800i2 [0,-1,0,-5648,-161508] 2
31800j (2 curves)	0	2+ 3+ 5- 53+	2+ 3+ 5- -2  0  4 -2  4
Curve Equation t 31800j1 [0,-1,0,52,7092] 2 31800j2 [0,-1,0,-5248,144892] 2
31800k (2 curves)	0	2+ 3+ 5- 53+	2+ 3+ 5- -2  4  6  0  2
Curve Equation t 31800k1 [0,-1,0,-1168,11932] 2 31800k2 [0,-1,0,-17368,886732] 2
31800l (1 curve)	1	2+ 3+ 5- 53-	2+ 3+ 5- -1  0  1  4 -5
Curve Equation t Generators 31800l1 [0,-1,0,367,4437] 1 [13:-106:1]
31800m (1 curve)	1	2+ 3- 5+ 53-	2+ 3- 5+  1  1  2 -5  4
Curve Equation t Generators 31800m1 [0,1,0,-433,2483] 1 [-1:-54:1]
31800n (2 curves)	1	2+ 3- 5+ 53-	2+ 3- 5+  4 -2 -4 -2  4
Curve Equation t Generators 31800n1 [0,1,0,-3408,-87312] 2 [32556:1129600:27] 31800n2 [0,1,0,-56408,-5175312] 2 [134379696:4588955875:110592]
31800o (2 curves)	1	2+ 3- 5- 53+	2+ 3- 5-  2 -4  4  2  0
Curve Equation t Generators 31800o1 [0,1,0,-1708,13088] 2 [-41:126:1] 31800o2 [0,1,0,5792,103088] 2 [-3563:70218:343]
31800p (1 curve)	2	2+ 3- 5- 53-	2+ 3- 5- -2 -6 -2 -3 -2
Curve Equation t Generators 31800p1 [0,1,0,-1153,14723] 1 [23:30:1]&[-7:150:1]
31800q (4 curves)	1	2- 3+ 5+ 53-	2- 3+ 5+  0  4 -2 -2 -4
Curve Equation t Generators 31800q1 [0,-1,0,-19908,1087812] 4 [-18:1200:1] 31800q2 [0,-1,0,-20408,1030812] 4 [-19:1188:1] 31800q3 [0,-1,0,24592,4900812] 2 [937:29150:1] 31800q4 [0,-1,0,-73408,-6495188] 2 [-141889:436428:1331]
31800r (2 curves)	1	2- 3+ 5+ 53-	2- 3+ 5+ -2  0 -6 -6  6
Curve Equation t Generators 31800r1 [0,-1,0,-1908,-28188] 2 [-28:50:1] 31800r2 [0,-1,0,2592,-145188] 2 [62:500:1]
31800s (2 curves)	1	2- 3+ 5+ 53-	2- 3+ 5+  4 -4 -4  0  2
Curve Equation t Generators 31800s1 [0,-1,0,-2008,34012] 2 [-3:200:1] 31800s2 [0,-1,0,992,124012] 2 [21:392:1]
31800t (1 curve)	1	2- 3+ 5- 53+	2- 3+ 5- -1  1 -2  5  4
Curve Equation t Generators 31800t1 [0,-1,0,-10833,332037] 1 [267:4050:1]
31800u (1 curve)	1	2- 3+ 5- 53+	2- 3+ 5-  2 -6  2  3 -2
Curve Equation t Generators 31800u1 [0,-1,0,-28833,1898037] 1 [92:125:1]
31800v (2 curves)	2	2- 3+ 5- 53-	2- 3+ 5- -2 -4 -4 -2  0
Curve Equation t Generators 31800v1 [0,-1,0,-68,132] 2 [-8:10:1]&[-4:18:1] 31800v2 [0,-1,0,232,732] 2 [-2:16:1]&[6:48:1]
31800w (1 curve)	1	2- 3- 5+ 53+	2- 3- 5+  1  0 -1 -4 -5
Curve Equation t Generators 31800w1 [0,1,0,9167,572963] 1 [-43:318:1]
31800x (2 curves)	1	2- 3- 5+ 53+	2- 3- 5+ -2  0  0  0  0
Curve Equation t Generators 31800x1 [0,1,0,-2408,-45312] 2 [103:900:1] 31800x2 [0,1,0,-5408,86688] 2 [2901:23500:27]
31800y (4 curves)	0	2- 3- 5+ 53-	2- 3- 5+  4  4 -2  6  0
Curve Equation t 31800y1 [0,1,0,-57908,5306688] 4 31800y2 [0,1,0,-98408,-3117312] 4 31800y3 [0,1,0,378592,-24105312] 2 31800y4 [0,1,0,-1223408,-520617312] 2
31800z (1 curve)	0	2- 3- 5+ 53-	2- 3- 5+ -5  1 -2  0  3
Curve Equation t 31800z1 [0,1,0,992,-3860512] 1
31800ba (2 curves)	1	2- 3- 5- 53-	2- 3- 5-  2  0 -4  2  4
Curve Equation t Generators 31800ba1 [0,1,0,1292,889088] 2 [14:-954:1] 31800ba2 [0,1,0,-131208,17849088] 2 [-192:6000:1]
31800bb (2 curves)	1	2- 3- 5- 53-	2- 3- 5-  2  4 -6  0  2
Curve Equation t Generators 31800bb1 [0,1,0,-29208,1433088] 2 [24:864:1] 31800bb2 [0,1,0,-434208,109973088] 2 [399:636:1]
31800bc (2 curves)	1	2- 3- 5- 53-	2- 3- 5- -2  0  4  2 -8
Curve Equation t Generators 31800bc1 [0,1,0,-8708,-330912] 2 [20358:2904750:1] 31800bc2 [0,1,0,-141208,-20470912] 2 [14841936:2117425904:729]
31800bd (1 curve)	1	2- 3- 5- 53-	2- 3- 5-  3  5 -6 -3  2
Curve Equation t Generators 31800bd1 [0,1,0,-4101833,2955105963] 1 [-1391:77274:1]

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