Cremona's table of elliptic curves

150 = 2 · 3 · 5²

Field	Data	Notes
Atkin-Lehner	2- 3- 5-	Signs for the Atkin-Lehner involutions
Class	150a	Isogeny class
Conductor	150	Conductor
∏ cp	100	Product of Tamagawa factors cp
Δ	236196000 = 25 · 310 · 53	Discriminant
Eigenvalues	2- 3- 5- -2  2 -6 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-828,9072]	[a1,a2,a3,a4,a6]
j	502270291349/1889568	j-invariant
L	1.7692592482524	L(r)(E,1)/r!
Ω	1.7692592482524	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	10	Number of elements in the torsion subgroup
Twists	1200m4 4800l4 450c4 150b4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 150a4

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

---

Quadratic twists for elliptic curve 150a4

-4	8	-3	5	-7	-11	13	17	-19	-23	29
1200m4	4800l4	450c4	150b4	7350cc4	18150bp4	25350bq4	43350cn4	54150m4	79350dv4	126150n4

---

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