Cremona's table of elliptic curves

15624 = 2³ · 3² · 7 · 31

Class	r	Atkin-Lehner	Eigenvalues
15624a (2 curves)	1	2+ 3+ 7+ 31+	2+ 3+ -4 7+ -4 -2 -2  4
Curve Equation t Generators 15624a1 [0,0,0,18,-215] 2 [8:21:1] 15624a2 [0,0,0,-447,-3470] 2 [-13:12:1]
15624b (1 curve)	0	2+ 3+ 7+ 31-	2+ 3+  3 7+ -1  1  3  5
Curve Equation t 15624b1 [0,0,0,-6291,209358] 1
15624c (1 curve)	2	2+ 3+ 7- 31+	2+ 3+ -3 7- -4 -5  2 -8
Curve Equation t Generators 15624c1 [0,0,0,36,404] 1 [10:-42:1]&[1:21:1]
15624d (2 curves)	0	2+ 3+ 7- 31+	2+ 3+  4 7-  0 -6  2 -4
Curve Equation t 15624d1 [0,0,0,-1518,-22815] 2 15624d2 [0,0,0,-24303,-1458270] 2
15624e (1 curve)	2	2+ 3- 7+ 31+	2+ 3- -1 7+  0 -7 -8 -6
Curve Equation t Generators 15624e1 [0,0,0,-2028,35156] 1 [721:19323:1]&[-2:198:1]
15624f (1 curve)	0	2+ 3- 7+ 31+	2+ 3- -1 7+ -4  4 -2 -2
Curve Equation t 15624f1 [0,0,0,-3,-866] 1
15624g (4 curves)	0	2+ 3- 7+ 31+	2+ 3-  2 7+ -4 -2 -2 -8
Curve Equation t 15624g1 [0,0,0,-9399,270538] 2 15624g2 [0,0,0,-140619,20294710] 4 15624g3 [0,0,0,-2249859,1298915998] 2 15624g4 [0,0,0,-130899,23220430] 2
15624h (2 curves)	2	2+ 3- 7+ 31+	2+ 3- -4 7+ -6  2 -2  0
Curve Equation t Generators 15624h1 [0,0,0,78,-17575] 2 [28:81:1]&[32:133:1] 15624h2 [0,0,0,-9687,-359350] 2 [-62:54:1]&[-53:72:1]
15624i (1 curve)	1	2+ 3- 7+ 31-	2+ 3- -1 7+ -3 -1 -1  3
Curve Equation t Generators 15624i1 [0,0,0,-4493523,7854375566] 1 [44033426:4991073948:68921]
15624j (4 curves)	1	2+ 3- 7+ 31-	2+ 3-  2 7+  0  2  2  0
Curve Equation t Generators 15624j1 [0,0,0,-759,7562] 2 [-29:72:1] 15624j2 [0,0,0,-2379,-35530] 4 [830:23870:1] 15624j3 [0,0,0,-35859,-2613490] 2 [104830:2950486:125] 15624j4 [0,0,0,5181,-215458] 2 [44890:327987:1000]
15624k (2 curves)	1	2+ 3- 7+ 31-	2+ 3- -2 7+ -2 -4  0 -4
Curve Equation t Generators 15624k1 [0,0,0,-112311,62010090] 2 [-453:4464:1] 15624k2 [0,0,0,-3137571,2133103086] 2 [-1905:34596:1]
15624l (2 curves)	1	2+ 3- 7- 31+	2+ 3-  0 7-  2 -2  2  4
Curve Equation t Generators 15624l1 [0,0,0,-31575,-2158774] 2 [1195:40824:1] 15624l2 [0,0,0,-26715,-2845978] 2 [223:1512:1]
15624m (4 curves)	1	2+ 3- 7- 31+	2+ 3- -2 7- -4  2  2  4
Curve Equation t Generators 15624m1 [0,0,0,-426,2329] 4 [5:18:1] 15624m2 [0,0,0,-2631,-50150] 4 [87:616:1] 15624m3 [0,0,0,-41691,-3276506] 2 [366:5522:1] 15624m4 [0,0,0,1149,-182450] 2 [642:5225:8]
15624n (2 curves)	1	2+ 3- 7- 31+	2+ 3- -2 7-  6  0 -4 -4
Curve Equation t Generators 15624n1 [0,0,0,9,810] 2 [-2:28:1] 15624n2 [0,0,0,-1251,16686] 2 [15:36:1]
15624o (2 curves)	0	2+ 3- 7- 31-	2+ 3-  0 7-  2 -6 -2  4
Curve Equation t 15624o1 [0,0,0,-615,-5798] 2 15624o2 [0,0,0,-75,-15626] 2
15624p (2 curves)	0	2- 3+ 7+ 31+	2- 3+  4 7+  4 -2  2  4
Curve Equation t 15624p1 [0,0,0,162,5805] 2 15624p2 [0,0,0,-4023,93690] 2
15624q (1 curve)	1	2- 3+ 7+ 31-	2- 3+ -3 7+  1  1 -3  5
Curve Equation t Generators 15624q1 [0,0,0,-699,-7754] 1 [74:588:1]
15624r (1 curve)	1	2- 3+ 7- 31+	2- 3+  3 7-  4 -5 -2 -8
Curve Equation t Generators 15624r1 [0,0,0,324,-10908] 1 [33:189:1]
15624s (2 curves)	1	2- 3+ 7- 31+	2- 3+ -4 7-  0 -6 -2 -4
Curve Equation t Generators 15624s1 [0,0,0,-13662,616005] 2 [54:189:1] 15624s2 [0,0,0,-218727,39373290] 2 [243:756:1]
15624t (2 curves)	1	2- 3- 7+ 31+	2- 3-  4 7+ -6 -6  6  6
Curve Equation t Generators 15624t1 [0,0,0,-33843,2371070] 2 [770:585:8] 15624t2 [0,0,0,-63003,-2323690] 2 [-214790:1139931:1000]
15624u (2 curves)	0	2- 3- 7+ 31-	2- 3-  0 7+ -2 -2  2  2
Curve Equation t 15624u1 [0,0,0,-2595,11342] 2 15624u2 [0,0,0,-31755,2175014] 2
15624v (2 curves)	0	2- 3- 7+ 31-	2- 3-  0 7+ -2 -2  6  8
Curve Equation t 15624v1 [0,0,0,-570,-7859] 2 15624v2 [0,0,0,-10335,-404318] 2
15624w (1 curve)	0	2- 3- 7+ 31-	2- 3-  3 7+  0  3  4  6
Curve Equation t 15624w1 [0,0,0,83364,95873668] 1
15624x (1 curve)	0	2- 3- 7- 31+	2- 3-  1 7- -3 -3 -1 -5
Curve Equation t 15624x1 [0,0,0,9573,-79018] 1
15624y (2 curves)	0	2- 3- 7- 31+	2- 3-  2 7-  0 -2  6  6
Curve Equation t 15624y1 [0,0,0,-579,5038] 2 15624y2 [0,0,0,501,21670] 2

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