Cremona's table of elliptic curves

400 = 2⁴ · 5²

Field	Data	Notes
Atkin-Lehner	2+ 5+	Signs for the Atkin-Lehner involutions
Conductor	400	Conductor
Count	4	Number of curves in isogeny class
Curves	400a1 400a2 400a3 400a4	Curves in isogeny class
deg	48	Modular degree for the optimal curve
Eigenvalues	2+  0 5+ -4 -4  2 -2 -4	Hecke eigenvalues for primes less than 20
L	1.6854886295926	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	200c 1600p 3600p 80a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 400a

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	0	+	-4	-4	2	-2	-4	4	-2	8	-6	-6	-8	4	-6	4	-2	8	0	6	0	-16	-6	14

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Quadratic twists for isogeny class 400a

-4	8	-3	5	-7	-11	13	17
200c	1600p	3600p	80a	19600i	48400k	67600b	115600b

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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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