Cremona's table of elliptic curves

100800 = 2⁶ · 3² · 5² · 7

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7-	Signs for the Atkin-Lehner involutions
Class	100800og	Isogeny class
Conductor	100800	Conductor
∏ cp	96	Product of Tamagawa factors cp
Δ	1200225600000000 = 212 · 37 · 58 · 73	Discriminant
Eigenvalues	2- 3- 5+ 7- -6  4  6  6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1233300,-527168000]	[a1,a2,a3,a4,a6]
j	4446542056384/25725	j-invariant
L	3.4383001655872	L(r)(E,1)/r!
Ω	0.14326249901694	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	100800mq2 50400dy1 33600ha2 20160ez2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 100800og2

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
-	-	+	-	-6	4	6	6	4	-2	2	6	-6	12	0	4	4	10	12	2	-16	-4	-12	6	12

---

Quadratic twists for elliptic curve 100800og2

-4	8	-3	5
100800mq2	50400dy1	33600ha2	20160ez2

---

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