Cremona's table of elliptic curves

3696 = 2⁴ · 3 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 7+ 11-	Signs for the Atkin-Lehner involutions
Conductor	3696	Conductor
Count	6	Number of curves in isogeny class
Curves	3696w1 3696w2 3696w3 3696w4 3696w5 3696w6	Curves in isogeny class
deg	1280	Modular degree for the optimal curve
Eigenvalues	2- 3- -2 7+ 11-  6  2 -4	Hecke eigenvalues for primes less than 20
L	1.9768467175414	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	231a 14784br 11088bh 92400ev	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 3696w

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	+	-	6	2	-4	0	-2	-8	6	10	4	8	6	-4	-10	12	0	2	-16	-4	18	2

---

Quadratic twists for isogeny class 3696w

-4	8	-3	5	-7	-11
231a	14784br	11088bh	92400ev	25872bx	40656dk

---

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