Cremona's table of elliptic curves

5830 = 2 · 5 · 11 · 53

Class	r	Atkin-Lehner	Eigenvalues
5830a (2 curves)	1	2+ 5+ 11- 53-	2+  0 5+ -4 11- -4  8 -4
Curve Equation t Generators 5830a1 [1,-1,0,-3685,-84075] 2 [218:2963:1] 5830a2 [1,-1,0,-7205,105301] 2 [90:379:1]
5830b (2 curves)	0	2+ 5- 11+ 53+	2+  1 5- -1 11+  5  6 -1
Curve Equation t 5830b1 [1,0,1,-628,5998] 3 5830b2 [1,0,1,-303,12258] 1
5830c (1 curve)	1	2- 5+ 11+ 53-	2-  1 5+  1 11+ -3 -6  5
Curve Equation t Generators 5830c1 [1,0,0,9,41] 1 [-2:5:1]
5830d (2 curves)	1	2- 5+ 11+ 53-	2-  1 5+ -1 11+ -1  6 -1
Curve Equation t Generators 5830d1 [1,0,0,-1347396,605992976] 3 [-752:34932:1] 5830d2 [1,0,0,4011964,3220044560] 1 [5520:1715260:27]
5830e (1 curve)	1	2- 5+ 11+ 53-	2-  1 5+  4 11+ -3 -3 -1
Curve Equation t Generators 5830e1 [1,0,0,-66386,-6592684] 1 [626:13732:1]
5830f (1 curve)	2	2- 5+ 11- 53-	2- -3 5+ -4 11- -7 -7 -1
Curve Equation t Generators 5830f1 [1,-1,1,-708,7527] 1 [-27:93:1]&[125:-1427:1]
5830g (1 curve)	1	2- 5- 11+ 53+	2- -1 5-  3 11+ -5 -2  1
Curve Equation t Generators 5830g1 [1,1,1,-130,-1473] 1 [27:111:1]
5830h (1 curve)	1	2- 5- 11- 53-	2- -1 5- -2 11-  1 -5  3
Curve Equation t Generators 5830h1 [1,1,1,64130,8894907] 1 [-103:1151:1]

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

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