Cremona's table of elliptic curves

3432 = 2³ · 3 · 11 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3- 11- 13+	Signs for the Atkin-Lehner involutions
Conductor	3432	Conductor
Count	4	Number of curves in isogeny class
Curves	3432d1 3432d2 3432d3 3432d4	Curves in isogeny class
deg	512	Modular degree for the optimal curve
Eigenvalues	2+ 3- -2  0 11- 13+ -2 -4	Hecke eigenvalues for primes less than 20
L	3.6888847557593	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	6864c 27456h 10296j 85800by	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 3432d

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	0	-	+	-2	-4	0	6	8	2	6	-12	-12	-10	4	-6	-8	-12	-10	12	4	14	-6

---

Quadratic twists for isogeny class 3432d

-4	8	-3	5	-11	13
6864c	27456h	10296j	85800by	37752x	44616r

---

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