Cremona's table of elliptic curves

2912 = 2⁵ · 7 · 13

Field	Data	Notes
Atkin-Lehner	2+ 7+ 13-	Signs for the Atkin-Lehner involutions
Conductor	2912	Conductor
Count	4	Number of curves in isogeny class
Curves	2912a1 2912a2 2912a3 2912a4	Curves in isogeny class
deg	288	Modular degree for the optimal curve
Eigenvalues	2+  0 -2 7+ -4 13-  2  4	Hecke eigenvalues for primes less than 20
L	0.85525330119	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	2912e 5824b 26208bl 72800bn	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 2912a

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

---

Quadratic twists for isogeny class 2912a

-4	8	-3	5	-7	13
2912e	5824b	26208bl	72800bn	20384c	37856o

---

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