Cremona's table of elliptic curves

97344 = 2⁶ · 3² · 13²

Field	Data	Notes
Atkin-Lehner	2+ 3- 13+	Signs for the Atkin-Lehner involutions
Conductor	97344	Conductor
Count	2	Number of curves in isogeny class
Curves	97344bw1 97344bw2	Curves in isogeny class
deg	344064	Modular degree for the optimal curve
Eigenvalues	2+ 3-  2 -2  6 13+  2 -6	Hecke eigenvalues for primes less than 20
L	2.254951763353	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	97344bv 48672bv 32448g 7488bc	Quadratic twists by: -4 8 -3 13

Hecke Eigenvalues for isogeny class 97344bw

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

---

Quadratic twists for isogeny class 97344bw

-4	8	-3	13
97344bv	48672bv	32448g	7488bc

---

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