Cremona's table of elliptic curves

5300 = 2² · 5² · 53

Class	r	Atkin-Lehner	Eigenvalues
5300a (1 curve)	0	2- 5+ 53+	2-  1 5+  2  2  7  3  5
Curve Equation t 5300a1 [0,1,0,-108,788] 1
5300b (1 curve)	0	2- 5+ 53+	2- -1 5+  2 -2 -5  7  7
Curve Equation t 5300b1 [0,-1,0,1092,10312] 1
5300c (1 curve)	0	2- 5+ 53+	2-  2 5+  5  1 -2  7 -8
Curve Equation t 5300c1 [0,-1,0,-23333,1379537] 1
5300d (2 curves)	1	2- 5+ 53-	2-  2 5+  1 -3 -2  3  2
Curve Equation t Generators 5300d1 [0,-1,0,-93,377] 1 [8:9:1] 5300d2 [0,-1,0,-493,-3783] 1 [51:318:1]
5300e (2 curves)	1	2- 5+ 53-	2- -2 5+  0 -4  2 -2  2
Curve Equation t Generators 5300e1 [0,1,0,-433,-3612] 2 [1732:4625:64] 5300e2 [0,1,0,-308,-5612] 2 [43:250:1]
5300f (2 curves)	1	2- 5- 53+	2- -2 5- -1 -3  2 -3  2
Curve Equation t Generators 5300f1 [0,1,0,-2333,42463] 3 [29:6:1] 5300f2 [0,1,0,-12333,-497537] 1 [154:1131:1]
5300g (1 curve)	2	2- 5- 53-	2- -2 5- -5  1  2 -7 -8
Curve Equation t Generators 5300g1 [0,1,0,-933,10663] 1 [57:-382:1]&[-7:130:1]

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

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