Cremona's table of elliptic curves

40300 = 2² · 5² · 13 · 31

Class	r	Atkin-Lehner	Eigenvalues
40300a (1 curve)	0	2- 5+ 13+ 31+	2-  2 5+  3  2 13+  0 -7
Curve Equation t 40300a1 [0,-1,0,142,-1663] 1
40300b (1 curve)	0	2- 5+ 13+ 31+	2- -3 5+ -4  2 13+ -6  0
Curve Equation t 40300b1 [0,0,0,-430000,-6087500] 1
40300c (1 curve)	1	2- 5+ 13+ 31-	2- -2 5+ -3  2 13+ -6  3
Curve Equation t Generators 40300c1 [0,1,0,-1758,-36887] 1 [54:169:1]
40300d (1 curve)	1	2- 5+ 13- 31+	2-  0 5+  2  1 13-  0  0
Curve Equation t Generators 40300d1 [0,0,0,-6800,10122500] 1 [400:8450:1]
40300e (1 curve)	1	2- 5+ 13- 31+	2- -2 5+ -1  2 13- -4  5
Curve Equation t Generators 40300e1 [0,1,0,-23158,-1364187] 1 [519827:9346987:1331]
40300f (1 curve)	0	2- 5+ 13- 31-	2-  1 5+  4 -2 13-  5 -5
Curve Equation t 40300f1 [0,1,0,-3133,1946863] 1
40300g (1 curve)	0	2- 5+ 13- 31-	2-  2 5+ -2 -3 13- -4  8
Curve Equation t 40300g1 [0,-1,0,-3333,89537] 1
40300h (1 curve)	0	2- 5+ 13- 31-	2- -2 5+  0  3 13-  4 -6
Curve Equation t 40300h1 [0,1,0,-533,-10937] 1
40300i (1 curve)	0	2- 5+ 13- 31-	2- -2 5+  4 -4 13-  0 -4
Curve Equation t 40300i1 [0,1,0,-8333,-299537] 1
40300j (1 curve)	1	2- 5- 13+ 31+	2- -1 5-  2 -2 13+ -1  3
Curve Equation t Generators 40300j1 [0,-1,0,-53,-623] 1 [27:-130:1]
40300k (1 curve)	0	2- 5- 13+ 31-	2-  2 5- -4 -4 13+  0 -4
Curve Equation t 40300k1 [0,-1,0,-333,-2263] 1
40300l (1 curve)	0	2- 5- 13+ 31-	2- -2 5-  2 -3 13+  4  8
Curve Equation t 40300l1 [0,1,0,-133,663] 1
40300m (1 curve)	0	2- 5- 13- 31+	2-  1 5- -2 -2 13-  1  3
Curve Equation t 40300m1 [0,1,0,-1333,-80537] 1
40300n (1 curve)	0	2- 5- 13- 31+	2-  3 5-  4  2 13-  6  0
Curve Equation t 40300n1 [0,0,0,-17200,-48700] 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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