Cremona's table of elliptic curves

296 = 2³ · 37

Field	Data	Notes
Atkin-Lehner	2+ 37+	Signs for the Atkin-Lehner involutions
Conductor	296	Conductor
Count	1	Number of curves in isogeny class
Curves	296a1	Curves in isogeny class
deg	16	Modular degree for the optimal curve
Eigenvalues	2+ -1 -2  1  1 -6 -4 -8	Hecke eigenvalues for primes less than 20
L	1.3559367025289	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	592a 2368f 2664f 7400h	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 296a

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	-2	1	1	-6	-4	-8	6	2	-4	+	7	2	9	-3	-12	4	0	7	7	0	3	-12	-8

---

Quadratic twists for isogeny class 296a

-4	8	-3	5	-7	-11	13	17	-19	37
592a	2368f	2664f	7400h	14504c	35816d	50024c	85544a	106856d	10952c

---

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