Cremona's table of elliptic curves

3232 = 2⁵ · 101

Field	Data	Notes
Atkin-Lehner	2+ 101-	Signs for the Atkin-Lehner involutions
Class	3232b	Isogeny class
Conductor	3232	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	320	Modular degree for the optimal curve
Δ	413696 = 212 · 101	Discriminant
Eigenvalues	2+  2  3  2  0  1  3  7	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-29,-43]	[a1,a2,a3,a4,a6]
j	681472/101	j-invariant
L	4.1435738361447	L(r)(E,1)/r!
Ω	2.0717869180724	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	3232d1 6464d1 29088k1 80800i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3232b1

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	3	2	0	1	3	7	-3	-2	3	-6	-2	-4	3	6	-8	-4	2	5	-14	3	6	16	-2

---

Quadratic twists for elliptic curve 3232b1

-4	8	-3	5
3232d1	6464d1	29088k1	80800i1

---

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