Cremona's table of elliptic curves

7210 = 2 · 5 · 7 · 103

Field	Data	Notes
Atkin-Lehner	2+ 5- 7- 103-	Signs for the Atkin-Lehner involutions
Class	7210b	Isogeny class
Conductor	7210	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	4624	Modular degree for the optimal curve
Δ	-3307601920 = -1 · 217 · 5 · 72 · 103	Discriminant
Eigenvalues	2+  2 5- 7- -3  3  4 -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-317,3389]	[a1,a2,a3,a4,a6]
j	-3540302642521/3307601920	j-invariant
L	2.5800653504181	L(r)(E,1)/r!
Ω	1.290032675209	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	57680x1 64890cc1 36050q1 50470a1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 7210b1

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	3	4	-2	4	-2	-6	4	3	2	3	4	6	8	8	8	13	-9	7	-14	-8

---

Quadratic twists for elliptic curve 7210b1

-4	-3	5	-7
57680x1	64890cc1	36050q1	50470a1

---

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