Cremona's table of elliptic curves

31416 = 2³ · 3 · 7 · 11 · 17

Field	Data	Notes
Atkin-Lehner	2+ 3+ 7+ 11- 17-	Signs for the Atkin-Lehner involutions
Conductor	31416	Conductor
Count	4	Number of curves in isogeny class
Curves	31416b1 31416b2 31416b3 31416b4	Curves in isogeny class
deg	39936	Modular degree for the optimal curve
Eigenvalues	2+ 3+ -2 7+ 11- -2 17- -8	Hecke eigenvalues for primes less than 20
L	2.9646041902475	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	62832r 94248t	Quadratic twists by: -4 -3

Hecke Eigenvalues for isogeny class 31416b

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

---

Quadratic twists for isogeny class 31416b

-4	-3
62832r	94248t

---

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