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	100800bw	Isogeny class
Conductor	100800	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	473088	Modular degree for the optimal curve
Δ	-1821545349120000 = -1 · 217 · 33 · 54 · 77	Discriminant
Eigenvalues	2+ 3+ 5- 7+  4 -1 -3  6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-33900,-3160400]	[a1,a2,a3,a4,a6]
j	-1947910950/823543	j-invariant
L	2.0683338208667	L(r)(E,1)/r!
Ω	0.1723611406328	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	100800kt1 12600bq1 100800bz1 100800ba1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 100800bw1

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
+	+	-	+	4	-1	-3	6	3	-3	9	-6	-5	-9	-6	-9	-13	7	-8	16	-8	12	15	-14	-8

---

Quadratic twists for elliptic curve 100800bw1

-4	8	-3	5
100800kt1	12600bq1	100800bz1	100800ba1

---

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