Cremona's table of elliptic curves

124 = 2² · 31

Field	Data	Notes
Atkin-Lehner	2- 31-	Signs for the Atkin-Lehner involutions
Conductor	124	Conductor
Count	2	Number of curves in isogeny class
Curves	124a1 124a2	Curves in isogeny class
deg	6	Modular degree for the optimal curve
Eigenvalues	2- -2 -3 -1 -6  2  6 -1	Hecke eigenvalues for primes less than 20
L	0.85598274932061	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	496d 1984f 1116e 3100e	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 124a

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	-3	-1	-6	2	6	-1	-6	0	-	-10	-9	8	0	0	-3	-10	-4	-15	14	8	6	12	-7

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Quadratic twists for isogeny class 124a

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
496d	1984f	1116e	3100e	6076a	15004d	20956c	35836c	44764b	65596d	104284c	3844c

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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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