Cremona's table of elliptic curves

212 = 2² · 53

Field	Data	Notes
Atkin-Lehner	2- 53+	Signs for the Atkin-Lehner involutions
Conductor	212	Conductor
Count	2	Number of curves in isogeny class
Curves	212b1 212b2	Curves in isogeny class
deg	21	Modular degree for the optimal curve
Eigenvalues	2-  2  2  0 -4 -2  2  2	Hecke eigenvalues for primes less than 20
L	1.7550063774399	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	848d 3392j 1908b 5300e	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 212b

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

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Quadratic twists for isogeny class 212b

-4	8	-3	5	-7	-11	13	17	-19	-23	53
848d	3392j	1908b	5300e	10388g	25652a	35828g	61268b	76532f	112148d	11236b

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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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