Cremona's table of elliptic curves

303 = 3 · 101

Field	Data	Notes
Atkin-Lehner	3- 101-	Signs for the Atkin-Lehner involutions
Class	303b	Isogeny class
Conductor	303	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	32	Modular degree for the optimal curve
Δ	8181 = 34 · 101	Discriminant
Eigenvalues	-2 3- -1 -2 -6  1 -5  7	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-6,2]	[a1,a2,a3,a4,a6]
Generators	[0:1:1]	Generators of the group modulo torsion
j	28094464/8181	j-invariant
L	1.000364858322	L(r)(E,1)/r!
Ω	3.852441097221	Real period
R	0.064917595952577	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	4848m1 19392b1 909b1 7575b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 303b1

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	-	-1	-2	-6	1	-5	7	-3	-6	-1	-10	-2	-12	11	4	4	10	-2	1	2	11	8	14	-10

---

Quadratic twists for elliptic curve 303b1

-4	8	-3	5	-7	-11	13	17	-19	101
4848m1	19392b1	909b1	7575b1	14847c1	36663l1	51207e1	87567b1	109383h1	30603c1

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations