Cremona's table of elliptic curves

96 = 2⁵ · 3

Field	Data	Notes
Atkin-Lehner	2- 3+	Signs for the Atkin-Lehner involutions
Class	96b	Isogeny class
Conductor	96	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	4	Modular degree for the optimal curve
Δ	576 = 26 · 32	Discriminant
Eigenvalues	2- 3+  2  4 -4 -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-2,0]	[a1,a2,a3,a4,a6]
j	21952/9	j-invariant
L	1.0010773804561	L(r)(E,1)/r!
Ω	4.0043095218244	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	96a1 192b2 288c1 2400m1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 96b1

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	4	-4	-2	-6	4	0	2	-4	-2	2	-4	-8	10	4	6	-4	16	-6	-4	-12	10	-14

---

Quadratic twists for elliptic curve 96b1

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
96a1	192b2	288c1	2400m1	4704bf1	11616e1	16224e1	27744bb1	34656r1	50784w1	80736c1	92256n1

---

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