Cremona's table of elliptic curves

3248 = 2⁴ · 7 · 29

Field	Data	Notes
Atkin-Lehner	2+ 7- 29+	Signs for the Atkin-Lehner involutions
Class	3248d	Isogeny class
Conductor	3248	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	256	Modular degree for the optimal curve
Δ	-51968 = -1 · 28 · 7 · 29	Discriminant
Eigenvalues	2+ -1  0 7-  6  4  6  5	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,7,-11]	[a1,a2,a3,a4,a6]
j	128000/203	j-invariant
L	1.8749591790788	L(r)(E,1)/r!
Ω	1.8749591790788	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1624a1 12992bk1 29232l1 81200a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3248d1

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
+	-1	0	-	6	4	6	5	1	+	-8	-8	-7	10	5	-11	0	2	-9	15	3	12	-6	11	-1

---

Quadratic twists for elliptic curve 3248d1

-4	8	-3	5	-7	29
1624a1	12992bk1	29232l1	81200a1	22736e1	94192j1

---

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