Cremona's table of elliptic curves

1650 = 2 · 3 · 5² · 11

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 11+	Signs for the Atkin-Lehner involutions
Class	1650m	Isogeny class
Conductor	1650	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	576	Modular degree for the optimal curve
Δ	18562500 = 22 · 33 · 56 · 11	Discriminant
Eigenvalues	2- 3+ 5+ -2 11+  4  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-138,531]	[a1,a2,a3,a4,a6]
j	18609625/1188	j-invariant
L	2.1388208194956	L(r)(E,1)/r!
Ω	2.1388208194956	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	13200ck1 52800db1 4950o1 66a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1650m1

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

---

Quadratic twists for elliptic curve 1650m1

-4	8	-3	5	-7	-11
13200ck1	52800db1	4950o1	66a1	80850gb1	18150i1

---

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