Cremona's table of elliptic curves

603 = 3² · 67

Field	Data	Notes
Atkin-Lehner	3- 67-	Signs for the Atkin-Lehner involutions
Class	603f	Isogeny class
Conductor	603	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	120	Modular degree for the optimal curve
Δ	-48843 = -1 · 36 · 67	Discriminant
Eigenvalues	-2 3- -2 -2  4  2 -3  7	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-111,450]	[a1,a2,a3,a4,a6]
Generators	[5:4:1]	Generators of the group modulo torsion
j	-207474688/67	j-invariant
L	1.0565412255291	L(r)(E,1)/r!
Ω	3.4987061444324	Real period
R	0.15099027782176	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	9648k1 38592n1 67a1 15075g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 603f1

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	-2	4	2	-3	7	-9	5	-10	-1	0	-2	1	-10	-9	-2	-	0	-7	-8	-4	-7	0

---

Quadratic twists for elliptic curve 603f1

-4	8	-3	5	-7	-11	13	-67
9648k1	38592n1	67a1	15075g1	29547bb1	72963v1	101907f1	40401o1

---

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