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	400b1 400b2 400b3 400b4	Curves in isogeny class
deg	48	Modular degree for the optimal curve
Eigenvalues	2-  1 5+  2  3  4  3 -5	Hecke eigenvalues for primes less than 20
L	1.7861413502408	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	50b 1600q 3600bi 400c	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 400b

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
-	1	+	2	3	4	3	-5	6	0	-2	-2	-3	-4	12	-6	0	2	-13	-12	-11	10	-9	15	-2

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Quadratic twists for isogeny class 400b

-4	8	-3	5	-7	-11	13	17
50b	1600q	3600bi	400c	19600ch	48400bx	67600br	115600bq

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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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