Cremona's table of elliptic curves

100 = 2² · 5²

Field	Data	Notes
Atkin-Lehner	2- 5+	Signs for the Atkin-Lehner involutions
Class	100a	Isogeny class
Conductor	100	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	12	Modular degree for the optimal curve
Δ	1250000 = 24 · 57	Discriminant
Eigenvalues	2-  2 5+ -2  0 -2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-33,62]	[a1,a2,a3,a4,a6]
j	16384/5	j-invariant
L	1.2630989622762	L(r)(E,1)/r!
Ω	2.5261979245525	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	400e1 1600g1 900e1 20a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 100a1

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	0	-2	6	-4	-6	6	-4	-2	6	10	6	6	12	2	-2	-12	-2	8	-6	-6	-2

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Quadratic twists for elliptic curve 100a1

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
400e1	1600g1	900e1	20a2	4900k1	12100f1	16900j1	28900d1	36100j1	52900n1	84100e1	96100g1

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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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