Cremona's table of elliptic curves

429 = 3 · 11 · 13

Field	Data	Notes
Atkin-Lehner	3+ 11- 13-	Signs for the Atkin-Lehner involutions
Conductor	429	Conductor
Count	2	Number of curves in isogeny class
Curves	429a1 429a2	Curves in isogeny class
deg	16	Modular degree for the optimal curve
Eigenvalues	-1 3+  0  0 11- 13- -4 -8	Hecke eigenvalues for primes less than 20
L	1.1462496667886	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	6864v 27456u 1287c 10725g	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 429a

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
-1	+	0	0	-	-	-4	-8	0	4	-6	-6	6	-2	-8	6	0	-14	14	-4	6	-10	-12	12	-2

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Quadratic twists for isogeny class 429a

-4	8	-3	5	-7	-11	13	17
6864v	27456u	1287c	10725g	21021n	4719c	5577c	123981p

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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