Cremona's table of elliptic curves

200 = 2³ · 5²

Field	Data	Notes
Atkin-Lehner	2+ 5-	Signs for the Atkin-Lehner involutions
Conductor	200	Conductor
Count	2	Number of curves in isogeny class
Curves	200d1 200d2	Curves in isogeny class
deg	40	Modular degree for the optimal curve
Eigenvalues	2+  2 5-  2 -4  4  0 -4	Hecke eigenvalues for primes less than 20
L	1.6601084182163	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	400f 1600m 1800w 200b	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 200d

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
+	2	-	2	-4	4	0	-4	-2	2	0	4	2	-6	-6	-4	-12	-10	14	8	8	16	2	6	16

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Quadratic twists for isogeny class 200d

-4	8	-3	5	-7	-11	13	17	-19	-23
400f	1600m	1800w	200b	9800u	24200bd	33800ba	57800p	72200bg	105800o

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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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