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	1035f	Isogeny class
Conductor	1035	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	2169230625 = 38 · 54 · 232	Discriminant
Eigenvalues	1 3- 5-  4  4 -2 -6  8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-324,243]	[a1,a2,a3,a4,a6]
j	5168743489/2975625	j-invariant
L	2.4961855698738	L(r)(E,1)/r!
Ω	1.2480927849369	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	16560by2 66240ce2 345d2 5175e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1035f2

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

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Quadratic twists for elliptic curve 1035f2

-4	8	-3	5	-7	-11	-23
16560by2	66240ce2	345d2	5175e2	50715ba2	125235bv2	23805m2

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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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