Cremona's table of elliptic curves

91 = 7 · 13

Field	Data	Notes
Atkin-Lehner	7- 13-	Signs for the Atkin-Lehner involutions
Class	91b	Isogeny class
Conductor	91	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	4	Modular degree for the optimal curve
Δ	-91 = -1 · 7 · 13	Discriminant
Eigenvalues	0 -2 -3 7-  0 13- -6 -7	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-7,5]	[a1,a2,a3,a4,a6]
Generators	[-1:3:1]	Generators of the group modulo torsion
j	-43614208/91	j-invariant
L	0.71081130382563	L(r)(E,1)/r!
Ω	6.0394915364844	Real period
R	1.0592450864092	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	1456h1 5824j1 819e1 2275a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 91b1

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	-3	-	0	-	-6	-7	3	-9	5	2	-6	-1	3	-9	0	-10	14	-6	11	-1	3	15	-1

---

Quadratic twists for elliptic curve 91b1

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37
1456h1	5824j1	819e1	2275a1	637b1	11011c1	1183a1	26299c1	32851k1	48139h1	76531b1	87451d1	124579b1

---

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