Cremona's table of elliptic curves

84568 = 2³ · 11 · 31²

Class	r	Atkin-Lehner	Eigenvalues
84568a (1 curve)	1	2+ 11+ 31+	2+  1  1 -4 11+ -6 -4  8
Curve Equation t Generators 84568a1 [0,1,0,4011855,-530747629] 1 [35195:3115562:125]
84568b (1 curve)	1	2+ 11+ 31+	2+ -2 -2  2 11+  3  2  5
Curve Equation t Generators 84568b1 [0,1,0,-1022824,397867632] 1 [-3206:218147:8]
84568c (1 curve)	1	2+ 11- 31-	2+  0 -3 -5 11-  6  0 -5
Curve Equation t Generators 84568c1 [0,0,0,-114359,-18440629] 1 [403:961:1]
84568d (1 curve)	1	2+ 11- 31-	2+ -1  1 -4 11-  6  4  8
Curve Equation t Generators 84568d1 [0,-1,0,4175,16469] 1 [185:2662:1]
84568e (1 curve)	1	2+ 11- 31-	2+  2 -2  2 11- -3 -2  5
Curve Equation t Generators 84568e1 [0,-1,0,-1064,-13012] 1 [556619338666:22125847973613:351895816]
84568f (1 curve)	1	2+ 11- 31-	2+ -2  0 -3 11-  0  3  2
Curve Equation t Generators 84568f1 [0,1,0,-8008,-1231824] 1 [305277:9058386:343]
84568g (1 curve)	1	2+ 11- 31-	2+ -2 -3  3 11-  0  6 -1
Curve Equation t Generators 84568g1 [0,1,0,-47062412,124252794049] 1 [-9960:10158731:27]
84568h (1 curve)	1	2+ 11- 31-	2+  3 -3 -2 11-  0  6  4
Curve Equation t Generators 84568h1 [0,0,0,-3844,-119164] 1 [65862:379486:729]
84568i (1 curve)	1	2- 11+ 31-	2-  2 -3 -5 11+ -4 -6 -1
Curve Equation t Generators 84568i1 [0,-1,0,5312088,-2056706431] 1 [863328:154770011:27]
84568j (1 curve)	0	2- 11- 31-	2-  2 -3 -1 11-  4  2 -5
Curve Equation t 84568j1 [0,-1,0,-31072,-2126871] 1

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

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