Cremona's table of elliptic curves

4040 = 2³ · 5 · 101

Class	r	Atkin-Lehner	Eigenvalues
4040a (1 curve)	0	2+ 5+ 101-	2+  2 5+ -1  2  6  3 -1
Curve Equation t 4040a1 [0,-1,0,-2456,47756] 1
4040b (4 curves)	1	2+ 5- 101-	2+  0 5-  4  0 -2  2 -4
Curve Equation t Generators 4040b1 [0,0,0,-242,-799] 4 [517:11750:1] 4040b2 [0,0,0,-3367,-75174] 4 [4146:93765:8] 4040b3 [0,0,0,-53867,-4812074] 2 [29665574:611234295:54872] 4040b4 [0,0,0,-2867,-98274] 4 [38382666:868643425:74088]
4040c (2 curves)	1	2+ 5- 101-	2+  2 5-  2 -4 -6 -6 -4
Curve Equation t Generators 4040c1 [0,-1,0,-75,152] 2 [-1:15:1] 4040c2 [0,-1,0,-580,-5100] 2 [30:60:1]
4040d (2 curves)	0	2- 5- 101-	2-  2 5-  2  0  2  2 -4
Curve Equation t 4040d1 [0,-1,0,-35,92] 2 4040d2 [0,-1,0,-60,-28] 2

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

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