Cremona's table of elliptic curves

232 = 2³ · 29

Field	Data	Notes
Atkin-Lehner	2+ 29+	Signs for the Atkin-Lehner involutions
Conductor	232	Conductor
Count	1	Number of curves in isogeny class
Curves	232a1	Curves in isogeny class
deg	16	Modular degree for the optimal curve
Eigenvalues	2+ -1 -3  2 -3 -5 -4  0	Hecke eigenvalues for primes less than 20
L	1.2149825684911	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	464a 1856b 2088m 5800g	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 232a

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	-3	2	-3	-5	-4	0	0	+	9	8	-2	-11	-7	9	4	-12	12	2	-4	3	-16	2	-14

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Quadratic twists for isogeny class 232a

-4	8	-3	5	-7	-11	13	17	-19	-23	29
464a	1856b	2088m	5800g	11368c	28072f	39208e	67048a	83752c	122728a	6728d

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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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