Cremona's table of elliptic curves

19 = Prime conductor

Field	Data	Notes
Atkin-Lehner	19-	Signs for the Atkin-Lehner involutions
Conductor	19	Conductor
Count	3	Number of curves in isogeny class
Curves	19a1 19a2 19a3	Curves in isogeny class
deg	1	Modular degree for the optimal curve
Eigenvalues	0 -2  3 -1  3 -4 -3 19-	Hecke eigenvalues for primes less than 20
L	0.4532532444961	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	304e 1216d 171b 475a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 19a

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	3	-1	3	-4	-3	-	0	6	-4	2	-6	-1	-3	12	-6	-1	-4	6	-7	8	12	12	8

---

Quadratic twists for isogeny class 19a

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43	-47	53	-59	61	-67	-71	73	-79
304e	1216d	171b	475a	931b	2299d	3211a	5491a	361b	10051b	15979a	18259a	26011a	31939b	35131c	41971a	53371a	66139a	70699a	85291a	95779k	101251b	118579c

---

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