Cremona's table of elliptic curves

85211 = 7² · 37 · 47

Class	r	Atkin-Lehner	Eigenvalues
85211a (1 curve)	1	7+ 37+ 47+	0  1  2 7+  0 -1  0 -4
Curve Equation t Generators 85211a1 [0,1,1,-457,5961] 1 [-195:2539:27]
85211b (1 curve)	0	7+ 37+ 47-	1  3  3 7+  0 -5  2  5
Curve Equation t 85211b1 [1,-1,0,-67678,6793667] 1
85211c (1 curve)	2	7+ 37+ 47-	-2  0 -1 7+ -6  2  2 -7
Curve Equation t Generators 85211c1 [0,0,1,-343,5402] 1 [0:-74:1]&[-10:88:1]
85211d (1 curve)	0	7- 37+ 47+	1 -3 -3 7-  0  5 -2 -5
Curve Equation t 85211d1 [1,-1,0,-1381,-19412] 1
85211e (1 curve)	0	7- 37+ 47+	2 -2  3 7-  5 -5  2 -8
Curve Equation t 85211e1 [0,1,1,-4034,-100761] 1
85211f (1 curve)	2	7- 37+ 47+	-2  0  1 7- -6 -2 -2  7
Curve Equation t Generators 85211f1 [0,0,1,-7,-16] 1 [4:4:1]&[9:25:1]
85211g (1 curve)	0	7- 37+ 47+	-2  3  3 7-  0 -1  4 -5
Curve Equation t 85211g1 [0,0,1,539,-86] 1
85211h (1 curve)	1	7- 37+ 47-	0 -1 -2 7-  0  1  0  4
Curve Equation t Generators 85211h1 [0,-1,1,-9,-15] 1 [9:23:1]
85211i (1 curve)	1	7- 37+ 47-	-2 -3 -1 7- -2 -1  6  3
Curve Equation t Generators 85211i1 [0,0,1,-92953,10908000] 1 [224:-1152:1]
85211j (1 curve)	1	7- 37- 47+	0  1  1 7- -2  1  6  5
Curve Equation t Generators 85211j1 [0,1,1,-4320174245,-109296444969512] 1 [127501178895397327101620363290233867102932:4151996227384324488702888927804834359954340:1669538358161181232271129714119828867]
85211k (1 curve)	1	7- 37- 47+	0  1 -3 7- -2  5 -2  1
Curve Equation t Generators 85211k1 [0,1,1,-16137,784375] 1 [-47:1200:1]
85211l (3 curves)	0	7- 37- 47-	0 -1  3 7-  0 -5  0  7
Curve Equation t 85211l1 [0,-1,1,-3827259,-2880631167] 1 85211l2 [0,-1,1,-3816479,-2897676258] 1 85211l3 [0,-1,1,13062551,-14916167477] 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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