Cremona's table of elliptic curves

24675 = 3 · 5² · 7 · 47

Class	r	Atkin-Lehner	Eigenvalues
24675a (2 curves)	0	3+ 5+ 7- 47+	1 3+ 5+ 7- -2  4  2  2
Curve Equation t 24675a1 [1,1,0,6725,1042000] 2 24675a2 [1,1,0,-121900,15319375] 2
24675b (2 curves)	0	3+ 5+ 7- 47+	1 3+ 5+ 7- -2 -4 -6 -2
Curve Equation t 24675b1 [1,1,0,39900,1222875] 2 24675b2 [1,1,0,-172725,9940500] 2
24675c (4 curves)	0	3+ 5+ 7- 47+	1 3+ 5+ 7-  4 -2  2 -4
Curve Equation t 24675c1 [1,1,0,-75775,-8060000] 2 24675c2 [1,1,0,-78900,-7363125] 4 24675c3 [1,1,0,135475,-40162500] 2 24675c4 [1,1,0,-343275,70098750] 4
24675d (2 curves)	0	3+ 5+ 7- 47+	-1 3+ 5+ 7- -2 -4  2  2
Curve Equation t 24675d1 [1,1,1,-3780963,-2832895344] 2 24675d2 [1,1,1,-60504588,-181171972344] 2
24675e (2 curves)	0	3+ 5+ 7- 47+	-1 3+ 5+ 7-  6  4  2  6
Curve Equation t 24675e1 [1,1,1,437,-2344] 2 24675e2 [1,1,1,-2188,-23344] 2
24675f (1 curve)	0	3+ 5+ 7- 47+	2 3+ 5+ 7-  4  5  5 -1
Curve Equation t 24675f1 [0,-1,1,-23469878,-43755910837] 1
24675g (1 curve)	0	3+ 5+ 7- 47+	2 3+ 5+ 7- -5  2 -7 -1
Curve Equation t 24675g1 [0,-1,1,342,1343] 1
24675h (1 curve)	0	3+ 5+ 7- 47+	-2 3+ 5+ 7-  1 -2  5 -7
Curve Equation t 24675h1 [0,-1,1,-25908,-37223782] 1
24675i (1 curve)	2	3+ 5+ 7- 47+	-2 3+ 5+ 7- -2  1 -4 -4
Curve Equation t Generators 24675i1 [0,-1,1,3842,-25782] 1 [7:37:1]&[22:262:1]
24675j (1 curve)	0	3+ 5+ 7- 47+	-2 3+ 5+ 7-  4 -5 -7 -7
Curve Equation t 24675j1 [0,-1,1,-305208,-65293432] 1
24675k (6 curves)	1	3+ 5+ 7- 47-	1 3+ 5+ 7- -4  2 -2 -4
Curve Equation t Generators 24675k1 [1,1,0,-130125,17919000] 2 [1270:8465:8] 24675k2 [1,1,0,-208250,-6221625] 4 [-264390:10010895:2744] 24675k3 [1,1,0,819875,-48374750] 2 [1268177569349704:60596969084231185:3720992743936] 24675k4 [1,1,0,-2486375,-1507506000] 4 [-4561440:-4134780:4913] 24675k5 [1,1,0,-1659500,-2525389125] 2 [5814146130:636671213485:474552] 24675k6 [1,1,0,-39763250,-96526260375] 2 [-314405678730:155731567815:86350888]
24675l (1 curve)	1	3+ 5+ 7- 47-	-2 3+ 5+ 7-  1  2  3  1
Curve Equation t Generators 24675l1 [0,-1,1,-51658,12604968] 1 [-108:4112:1]
24675m (1 curve)	1	3+ 5+ 7- 47-	-2 3+ 5+ 7-  5  5 -2 -1
Curve Equation t Generators 24675m1 [0,-1,1,-8,-22] 1 [6:10:1]
24675n (2 curves)	2	3+ 5- 7- 47-	-1 3+ 5- 7- -4  2 -6  2
Curve Equation t Generators 24675n1 [1,1,1,-718,7106] 2 [-30:67:1]&[10:27:1] 24675n2 [1,1,1,-693,7656] 2 [-26:107:1]&[-5:107:1]
24675o (1 curve)	2	3+ 5- 7- 47-	-2 3+ 5- 7-  0 -7  2 -6
Curve Equation t Generators 24675o1 [0,-1,1,-10248,463898] 1 [-102:661:1]&[-88:822:1]
24675p (4 curves)	1	3- 5+ 7- 47+	1 3- 5+ 7-  0 -2 -2 -4
Curve Equation t Generators 24675p1 [1,0,1,-1551,-23627] 2 [233:3387:1] 24675p2 [1,0,1,-1676,-19627] 4 [-114:353:8] 24675p3 [1,0,1,4199,-125377] 2 [73:719:1] 24675p4 [1,0,1,-9551,342623] 2 [558:761:8]
24675q (4 curves)	1	3- 5+ 7- 47+	1 3- 5+ 7-  0  6  6 -4
Curve Equation t Generators 24675q1 [1,0,1,-2040626151,35121769096573] 2 [-42483866462128:5358271497670851:929714176] 24675q2 [1,0,1,-32558204276,2261195987846573] 4 [104211:-41858:1] 24675q3 [1,0,1,-32466407401,2274580523002823] 2 [101713:4909259:1] 24675q4 [1,0,1,-520931251151,144716683523002823] 2 [756674304678:-378333937459:1815848]
24675r (2 curves)	1	3- 5+ 7- 47+	-1 3- 5+ 7-  2  0 -6 -4
Curve Equation t Generators 24675r1 [1,0,0,162,-333] 2 [3:12:1] 24675r2 [1,0,0,-713,-2958] 2 [-23:49:1]
24675s (1 curve)	1	3- 5+ 7- 47+	-2 3- 5+ 7-  3 -6 -3  5
Curve Equation t Generators 24675s1 [0,1,1,-5208,142994] 1 [63:262:1]
24675t (1 curve)	0	3- 5+ 7- 47-	2 3- 5+ 7- -6  3  0 -8
Curve Equation t 24675t1 [0,1,1,-50008,4294519] 1
24675u (2 curves)	1	3- 5- 7+ 47+	1 3- 5- 7+ -4 -2  6  2
Curve Equation t Generators 24675u1 [1,0,1,-17951,924173] 2 [401:7431:1] 24675u2 [1,0,1,-17326,991673] 2 [-123:1186:1]
24675v (1 curve)	1	3- 5- 7+ 47+	2 3- 5- 7+  0  7 -2 -6
Curve Equation t Generators 24675v1 [0,1,1,-256208,57474869] 1 [314:55121:8]
24675w (1 curve)	1	3- 5- 7+ 47+	2 3- 5- 7+  5 -5  2 -1
Curve Equation t Generators 24675w1 [0,1,1,-208,-3131] 1 [19010:11599:1000]
24675x (1 curve)	0	3- 5- 7+ 47-	2 3- 5- 7+  4  5  7 -7
Curve Equation t 24675x1 [0,1,1,-12208,-527231] 1
24675y (1 curve)	0	3- 5- 7+ 47-	-2 3- 5- 7+  4 -5 -5 -1
Curve Equation t 24675y1 [0,1,1,-586746958,-5470662348506] 1

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