Cremona's table of elliptic curves

20700 = 2² · 3² · 5² · 23

Class	r	Atkin-Lehner	Eigenvalues
20700a (2 curves)	0	2- 3+ 5+ 23+	2- 3+ 5+  2  4  2  6  2
Curve Equation t 20700a1 [0,0,0,-16200,699625] 2 20700a2 [0,0,0,-250575,48277750] 2
20700b (2 curves)	0	2- 3+ 5+ 23+	2- 3+ 5+ -2 -4  2  2 -2
Curve Equation t 20700b1 [0,0,0,-5400,-151875] 2 20700b2 [0,0,0,-8775,60750] 2
20700c (2 curves)	1	2- 3+ 5+ 23-	2- 3+ 5+  2 -4  2 -6  2
Curve Equation t Generators 20700c1 [0,0,0,-145800,-18889875] 2 [-3869905:12189700:24389] 20700c2 [0,0,0,-2255175,-1303499250] 2 [-668991412055380:75766937311925:769582602944]
20700d (2 curves)	1	2- 3+ 5+ 23-	2- 3+ 5+ -2  4  2 -2 -2
Curve Equation t Generators 20700d1 [0,0,0,-600,5625] 2 [0:75:1] 20700d2 [0,0,0,-975,-2250] 2 [-5:50:1]
20700e (2 curves)	1	2- 3- 5+ 23+	2- 3- 5+  0  0  6  2  6
Curve Equation t Generators 20700e1 [0,0,0,-4800,125125] 2 [-45:500:1] 20700e2 [0,0,0,825,400750] 2 [110:1350:1]
20700f (2 curves)	1	2- 3- 5+ 23+	2- 3- 5+  1  0  4 -3 -4
Curve Equation t Generators 20700f1 [0,0,0,13200,474500] 1 [-20:450:1] 20700f2 [0,0,0,-310800,67380500] 1 [-155:10575:1]
20700g (2 curves)	1	2- 3- 5+ 23+	2- 3- 5+  1  3 -5  6 -7
Curve Equation t Generators 20700g1 [0,0,0,-24375,-1431250] 1 [-101:18:1] 20700g2 [0,0,0,-249375,47393750] 1 [-4558:17019:8]
20700h (1 curve)	1	2- 3- 5+ 23+	2- 3- 5+  1 -6 -6  7  2
Curve Equation t Generators 20700h1 [0,0,0,-1800,40500] 1 [45:225:1]
20700i (1 curve)	1	2- 3- 5+ 23+	2- 3- 5+  2  4 -1  0 -4
Curve Equation t Generators 20700i1 [0,0,0,-2325,-45875] 1 [60:175:1]
20700j (2 curves)	1	2- 3- 5+ 23+	2- 3- 5+ -2  0  1 -6  2
Curve Equation t Generators 20700j1 [0,0,0,375,-1375] 1 [5:25:1] 20700j2 [0,0,0,-4125,124625] 1 [-40:475:1]
20700k (1 curve)	1	2- 3- 5+ 23+	2- 3- 5+ -2  0  3  4 -4
Curve Equation t Generators 20700k1 [0,0,0,-16425,-8278875] 1 [1621629940:62157184525:1092727]
20700l (1 curve)	1	2- 3- 5+ 23+	2- 3- 5+  3 -1 -1  0 -5
Curve Equation t Generators 20700l1 [0,0,0,-255,470] 1 [-14:36:1]
20700m (4 curves)	1	2- 3- 5+ 23+	2- 3- 5+  4  0 -2  6  2
Curve Equation t Generators 20700m1 [0,0,0,-37200,1879625] 2 [40:675:1] 20700m2 [0,0,0,103425,12707750] 2 [-41:2898:1] 20700m3 [0,0,0,-2737200,1743042125] 2 [2155:76500:1] 20700m4 [0,0,0,-2731575,1750562750] 2 [137860:4899825:64]
20700n (1 curve)	1	2- 3- 5+ 23+	2- 3- 5+  5  0 -4 -3 -4
Curve Equation t Generators 20700n1 [0,0,0,172561200,-381042249500] 1 [14773296020:1504087553250:5929741]
20700o (1 curve)	0	2- 3- 5+ 23-	2- 3- 5+  3  2  2 -7 -6
Curve Equation t 20700o1 [0,0,0,-190200,-44741500] 1
20700p (1 curve)	0	2- 3- 5+ 23-	2- 3- 5+ -3  5 -1 -4 -3
Curve Equation t 20700p1 [0,0,0,-834375,283418750] 1
20700q (1 curve)	0	2- 3- 5+ 23-	2- 3- 5+  4 -2  5  4 -2
Curve Equation t 20700q1 [0,0,0,-225,-3375] 1
20700r (2 curves)	0	2- 3- 5+ 23-	2- 3- 5+  4  6  1  0  2
Curve Equation t 20700r1 [0,0,0,-10425,-1837375] 1 20700r2 [0,0,0,93075,47428625] 1
20700s (1 curve)	0	2- 3- 5- 23+	2- 3- 5-  3  5  1  4 -3
Curve Equation t 20700s1 [0,0,0,-33375,2267350] 1
20700t (2 curves)	1	2- 3- 5- 23-	2- 3- 5- -1  3  5 -6 -7
Curve Equation t Generators 20700t1 [0,0,0,-975,-11450] 1 [-158:81:8] 20700t2 [0,0,0,-9975,379150] 3 [-109:414:1]
20700u (1 curve)	1	2- 3- 5- 23-	2- 3- 5- -3 -1  1  0 -5
Curve Equation t Generators 20700u1 [0,0,0,-6375,58750] 1 [-25:450:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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