Cremona's table of elliptic curves

27825 = 3 · 5² · 7 · 53

Class	r	Atkin-Lehner	Eigenvalues
27825a (2 curves)	0	3+ 5+ 7+ 53-	1 3+ 5+ 7+ -6 -2  0  8
Curve Equation t 27825a1 [1,1,0,-36375,-2706000] 2 27825a2 [1,1,0,-583250,-171690375] 2
27825b (4 curves)	0	3+ 5+ 7- 53+	1 3+ 5+ 7-  0 -6 -6  4
Curve Equation t 27825b1 [1,1,0,-14500,-678125] 2 27825b2 [1,1,0,-14625,-666000] 4 27825b3 [1,1,0,5250,-2315625] 2 27825b4 [1,1,0,-36500,1762125] 2
27825c (1 curve)	0	3+ 5+ 7- 53+	1 3+ 5+ 7-  3  0  6  4
Curve Equation t 27825c1 [1,1,0,-290,1785] 1
27825d (1 curve)	1	3+ 5+ 7- 53-	-2 3+ 5+ 7-  1 -4  0  7
Curve Equation t Generators 27825d1 [0,-1,1,-1758,34418] 1 [21:-80:1]
27825e (1 curve)	1	3+ 5- 7- 53+	1 3+ 5- 7-  3  5 -4 -6
Curve Equation t Generators 27825e1 [1,1,0,-7815,-1017450] 1 [310:4990:1]
27825f (1 curve)	0	3+ 5- 7- 53-	1 3+ 5- 7-  1 -5  0 -2
Curve Equation t 27825f1 [1,1,0,-185,-1050] 1
27825g (2 curves)	0	3+ 5- 7- 53-	1 3+ 5- 7-  4  4  6 -2
Curve Equation t 27825g1 [1,1,0,-13660,607075] 2 27825g2 [1,1,0,-19735,5650] 2
27825h (1 curve)	0	3+ 5- 7- 53-	-1 3+ 5- 7-  5  4  2  8
Curve Equation t 27825h1 [1,1,1,-13,356] 1
27825i (1 curve)	0	3+ 5- 7- 53-	-2 3+ 5- 7-  0  2 -1 -6
Curve Equation t 27825i1 [0,-1,1,-777208,-263469432] 1
27825j (1 curve)	0	3- 5+ 7+ 53+	0 3- 5+ 7+  1  0  0  1
Curve Equation t 27825j1 [0,1,1,1217,-4406] 1
27825k (6 curves)	0	3- 5+ 7+ 53+	1 3- 5+ 7+  4  2  6 -4
Curve Equation t 27825k1 [1,0,1,31749,-3994727] 2 27825k2 [1,0,1,-268376,-44811727] 4 27825k3 [1,0,1,-1242251,490819523] 2 27825k4 [1,0,1,-4096501,-3191530477] 4 27825k5 [1,0,1,-3899626,-3512042977] 2 27825k6 [1,0,1,-65543376,-204245705477] 2
27825l (8 curves)	0	3- 5+ 7+ 53+	1 3- 5+ 7+ -4  2 -2 -4
Curve Equation t 27825l1 [1,0,1,-2982501,1982277523] 2 27825l2 [1,0,1,-2982626,1982103023] 4 27825l3 [1,0,1,-2684501,2394111773] 2 27825l4 [1,0,1,-3282751,1558926773] 4 27825l5 [1,0,1,9120374,10538789273] 2 27825l6 [1,0,1,-20487876,-34503015227] 4 27825l7 [1,0,1,8496499,-124296608977] 2 27825l8 [1,0,1,-324754251,-2252604888977] 2
27825m (1 curve)	0	3- 5+ 7+ 53+	1 3- 5+ 7+  5 -4 -2  8
Curve Equation t 27825m1 [1,0,1,-326,45173] 1
27825n (1 curve)	2	3- 5+ 7+ 53+	-2 3- 5+ 7+ -2 -4 -3 -4
Curve Equation t Generators 27825n1 [0,1,1,-2758,63394] 1 [32:94:1]&[-52:262:1]
27825o (1 curve)	0	3- 5+ 7- 53-	0 3- 5+ 7-  5 -2  2  1
Curve Equation t 27825o1 [0,1,1,-33,344] 1
27825p (2 curves)	0	3- 5+ 7- 53-	1 3- 5+ 7- -2 -2 -8  0
Curve Equation t 27825p1 [1,0,1,24,-527] 2 27825p2 [1,0,1,-851,-9277] 2
27825q (4 curves)	0	3- 5+ 7- 53-	-1 3- 5+ 7-  0  2 -2  8
Curve Equation t 27825q1 [1,0,0,-35713,-78208] 2 27825q2 [1,0,0,-386838,92267667] 4 27825q3 [1,0,0,-207963,177948792] 2 27825q4 [1,0,0,-6183713,5918127042] 2
27825r (1 curve)	0	3- 5+ 7- 53-	2 3- 5+ 7-  2 -4 -1  4
Curve Equation t 27825r1 [0,1,1,2592,29219] 1
27825s (1 curve)	0	3- 5+ 7- 53-	2 3- 5+ 7- -3 -4  4 -7
Curve Equation t 27825s1 [0,1,1,392,1069] 1
27825t (1 curve)	1	3- 5- 7+ 53+	-1 3- 5- 7+  1  5  0 -2
Curve Equation t Generators 27825t1 [1,0,0,-4638,-121983] 1 [42879:1685873:27]
27825u (2 curves)	1	3- 5- 7+ 53+	-1 3- 5- 7+  4 -4 -6 -2
Curve Equation t Generators 27825u1 [1,0,0,-341513,76567392] 2 [-23:9199:1] 27825u2 [1,0,0,-493388,1693017] 2 [-104:7255:1]
27825v (1 curve)	1	3- 5- 7+ 53+	2 3- 5- 7+  0 -2  1 -6
Curve Equation t Generators 27825v1 [0,1,1,-31088,-2120191] 1 [2666:39707:8]
27825w (1 curve)	0	3- 5- 7+ 53-	-1 3- 5- 7+  3  0 -6  4
Curve Equation t 27825w1 [1,0,0,-7263,237642] 1
27825x (1 curve)	0	3- 5- 7+ 53-	-1 3- 5- 7+  3 -5  4 -6
Curve Equation t 27825x1 [1,0,0,-195388,-126790483] 1

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

Part of Computational Number Theory
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