Cremona's table of elliptic curves

210 = 2 · 3 · 5 · 7

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 7-	Signs for the Atkin-Lehner involutions
Class	210b	Isogeny class
Conductor	210	Conductor
∏ cp	18	Product of Tamagawa factors cp
deg	96	Modular degree for the optimal curve
Δ	6048000 = 28 · 33 · 53 · 7	Discriminant
Eigenvalues	2+ 3- 5- 7-  0  2 -6  8	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-498,4228]	[a1,a2,a3,a4,a6]
j	13619385906841/6048000	j-invariant
L	1.1766630746428	L(r)(E,1)/r!
Ω	2.3533261492856	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	1680m1 6720f1 630i1 1050k1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 210b1

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

---

Quadratic twists for elliptic curve 210b1

-4	8	-3	5	-7	-11	13	17	-19	-23
1680m1	6720f1	630i1	1050k1	1470b1	25410ct1	35490cy1	60690a1	75810co1	111090r1

---

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