Cremona's table of elliptic curves

1212 = 2² · 3 · 101

Field	Data	Notes
Atkin-Lehner	2- 3- 101-	Signs for the Atkin-Lehner involutions
Class	1212a	Isogeny class
Conductor	1212	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	192	Modular degree for the optimal curve
Δ	232704 = 28 · 32 · 101	Discriminant
Eigenvalues	2- 3-  1  4  2  1  1 -3	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-165,-873]	[a1,a2,a3,a4,a6]
j	1952382976/909	j-invariant
L	2.6628799061636	L(r)(E,1)/r!
Ω	1.3314399530818	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	4848l1 19392e1 3636b1 30300b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1212a1

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	4	2	1	1	-3	1	6	-11	-6	6	4	3	-12	-10	6	-2	5	4	5	18	-4	-18

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Quadratic twists for elliptic curve 1212a1

-4	8	-3	5	-7	101
4848l1	19392e1	3636b1	30300b1	59388a1	122412a1

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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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