Cremona's table of elliptic curves

1464 = 2³ · 3 · 61

Field	Data	Notes
Atkin-Lehner	2+ 3- 61-	Signs for the Atkin-Lehner involutions
Class	1464c	Isogeny class
Conductor	1464	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	96	Modular degree for the optimal curve
Δ	8784 = 24 · 32 · 61	Discriminant
Eigenvalues	2+ 3- -2  0 -2  2 -4 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-19,26]	[a1,a2,a3,a4,a6]
Generators	[1:3:1]	Generators of the group modulo torsion
j	49948672/549	j-invariant
L	2.9041728253162	L(r)(E,1)/r!
Ω	4.1373631312657	Real period
R	0.70193810240383	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2928b1 11712d1 4392e1 36600u1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1464c1

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	0	-2	2	-4	-4	-6	0	8	-10	-2	8	-8	12	-10	-	-8	-6	2	-12	-12	-8	14

---

Quadratic twists for elliptic curve 1464c1

-4	8	-3	5	-7	61
2928b1	11712d1	4392e1	36600u1	71736c1	89304m1

---

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