Cremona's table of elliptic curves

123 = 3 · 41

Field	Data	Notes
Atkin-Lehner	3- 41-	Signs for the Atkin-Lehner involutions
Conductor	123	Conductor
Count	2	Number of curves in isogeny class
Curves	123a1 123a2	Curves in isogeny class
deg	20	Modular degree for the optimal curve
Eigenvalues	-2 3- -4 -2 -3 -6  3  0	Hecke eigenvalues for primes less than 20
L	0.67159051375054	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	1968j 7872h 369b 3075d	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 123a

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
-2	-	-4	-2	-3	-6	3	0	-6	5	7	-7	-	-1	3	-6	0	-3	-2	-3	-11	10	-16	-10	-12

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Quadratic twists for isogeny class 123a

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	41
1968j	7872h	369b	3075d	6027c	14883j	20787f	35547d	44403c	65067u	103443a	118203e	5043b

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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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