Cremona's table of elliptic curves

3650 = 2 · 5² · 73

Field	Data	Notes
Atkin-Lehner	2+ 5- 73-	Signs for the Atkin-Lehner involutions
Class	3650g	Isogeny class
Conductor	3650	Conductor
∏ cp	18	Product of Tamagawa factors cp
deg	14400	Modular degree for the optimal curve
Δ	-38901700000000 = -1 · 28 · 58 · 733	Discriminant
Eigenvalues	2+ -2 5- -4 -3 -4  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,674,-299952]	[a1,a2,a3,a4,a6]
Generators	[277:4461:1]	Generators of the group modulo torsion
j	86869895/99588352	j-invariant
L	1.3491958088013	L(r)(E,1)/r!
Ω	0.30139888297207	Real period
R	2.2382229746457	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	29200bd1 116800bh1 32850cd1 3650k1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3650g1

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	-3	-4	0	2	6	6	5	11	9	-7	-9	-6	-15	5	8	0	-	-10	9	-9	-1

---

Quadratic twists for elliptic curve 3650g1

-4	8	-3	5
29200bd1	116800bh1	32850cd1	3650k1

---

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