Cremona's table of elliptic curves

96 = 2⁵ · 3

Field	Data	Notes
Atkin-Lehner	2+ 3-	Signs for the Atkin-Lehner involutions
Class	96a	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	1.1714200841468	L(r)(E,1)/r!
Ω	4.6856803365871	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	96b1 192a2 288b1 2400u1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 96a1

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 96a1

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
96b1	192a2	288b1	2400u1	4704f1	11616ba1	16224v1	27744f1	34656x1	50784q1	80736j1	92256d1

---

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