Cremona's table of elliptic curves

231 = 3 · 7 · 11

Field	Data	Notes
Atkin-Lehner	3+ 7- 11+	Signs for the Atkin-Lehner involutions
Conductor	231	Conductor
Count	6	Number of curves in isogeny class
Curves	231a1 231a2 231a3 231a4 231a5 231a6	Curves in isogeny class
deg	20	Modular degree for the optimal curve
Eigenvalues	-1 3+ -2 7- 11+  6  2  4	Hecke eigenvalues for primes less than 20
L	0.5822888619653	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	3696w 14784bm 693d 5775n	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 231a

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	+	-2	-	+	6	2	4	0	-2	8	6	10	-4	-8	6	4	-10	-12	0	2	16	4	18	2

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Quadratic twists for isogeny class 231a

-4	8	-3	5	-7	-11	13	17	-19	-23
3696w	14784bm	693d	5775n	1617g	2541b	39039h	66759g	83391r	122199f

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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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