Cremona's table of elliptic curves

77 = 7 · 11

Field	Data	Notes
Atkin-Lehner	7- 11+	Signs for the Atkin-Lehner involutions
Conductor	77	Conductor
Count	3	Number of curves in isogeny class
Curves	77b1 77b2 77b3	Curves in isogeny class
deg	20	Modular degree for the optimal curve
Eigenvalues	0  1  3 7- 11+ -4 -6  2	Hecke eigenvalues for primes less than 20
L	1.0326067104232	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	1232f 4928o 693c 1925a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 77b

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
0	1	3	-	+	-4	-6	2	3	-6	5	11	6	8	0	-6	-9	-10	5	9	2	-10	12	-3	-1

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Quadratic twists for isogeny class 77b

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41
1232f	4928o	693c	1925a	539a	847a	13013a	22253b	27797d	40733a	64757i	73997j	105413c	129437b

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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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