Cremona's table of elliptic curves

112 = 2⁴ · 7

Field	Data	Notes
Atkin-Lehner	2- 7+	Signs for the Atkin-Lehner involutions
Class	112c	Isogeny class
Conductor	112	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	102760448 = 221 · 72	Discriminant
Eigenvalues	2-  2  0 7+  0 -4  6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-43688,3529328]	[a1,a2,a3,a4,a6]
j	2251439055699625/25088	j-invariant
L	1.3254912396825	L(r)(E,1)/r!
Ω	1.3254912396825	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	14a5 448f6 1008i6 2800v6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 112c6

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

---

Quadratic twists for elliptic curve 112c6

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
14a5	448f6	1008i6	2800v6	784j6	13552ba6	18928z6	32368bd6	40432r6	59248bb6	94192v6	107632i6

---

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