Cremona's table of elliptic curves

1035 = 3² · 5 · 23

Field	Data	Notes
Atkin-Lehner	3- 5- 23-	Signs for the Atkin-Lehner involutions
Class	1035g	Isogeny class
Conductor	1035	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	7307864256445875 = 326 · 53 · 23	Discriminant
Eigenvalues	-1 3- 5-  4 -4  6  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-149072,21805544]	[a1,a2,a3,a4,a6]
j	502552788401502649/10024505152875	j-invariant
L	1.2552766821311	L(r)(E,1)/r!
Ω	0.41842556071038	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	16560bx3 66240cd3 345c3 5175c4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1035g4

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

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Quadratic twists for elliptic curve 1035g4

-4	8	-3	5	-7	-11	-23
16560bx3	66240cd3	345c3	5175c4	50715bd3	125235br3	23805n3

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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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