Cremona's table of elliptic curves

203 = 7 · 29

Field	Data	Notes
Atkin-Lehner	7- 29-	Signs for the Atkin-Lehner involutions
Class	203b	Isogeny class
Conductor	203	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	8	Modular degree for the optimal curve
Δ	-1421 = -1 · 72 · 29	Discriminant
Eigenvalues	-1 -1  1 7- -5 -5 -4 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,0,-2]	[a1,a2,a3,a4,a6]
Generators	[2:2:1]	Generators of the group modulo torsion
j	-1/1421	j-invariant
L	0.91309683113931	L(r)(E,1)/r!
Ω	2.1960815500483	Real period
R	0.20789228685957	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	3248j1 12992m1 1827a1 5075g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 203b1

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	-1	1	-	-5	-5	-4	-4	6	-	7	-10	0	-9	7	3	0	14	-6	8	-16	-9	16	-6	0

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Quadratic twists for elliptic curve 203b1

-4	8	-3	5	-7	-11	13	17	-19	-23	29
3248j1	12992m1	1827a1	5075g1	1421f1	24563c1	34307f1	58667a1	73283g1	107387f1	5887a1

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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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