Cremona's table of elliptic curves

2175 = 3 · 5² · 29

Field	Data	Notes
Atkin-Lehner	3+ 5+ 29-	Signs for the Atkin-Lehner involutions
Class	2175b	Isogeny class
Conductor	2175	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-62163369140625 = -1 · 32 · 510 · 294	Discriminant
Eigenvalues	1 3+ 5+  4  0 -6 -2  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-9750,-534375]	[a1,a2,a3,a4,a6]
j	-6561258219361/3978455625	j-invariant
L	1.8700443423135	L(r)(E,1)/r!
Ω	0.23375554278918	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	34800dl3 6525f4 435d4 106575cb3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2175b4

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
1	+	+	4	0	-6	-2	8	4	-	4	-6	2	4	0	-6	-12	6	8	16	6	12	16	2	14

---

Quadratic twists for elliptic curve 2175b4

-4	-3	5	-7	29
34800dl3	6525f4	435d4	106575cb3	63075q3

---

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