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	2	Number of curves in isogeny class
Curves	77c1 77c2	Curves in isogeny class
deg	6	Modular degree for the optimal curve
Eigenvalues	1  2 -2 7+ 11-  4  4  0	Hecke eigenvalues for primes less than 20
L	1.3258074292456	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	1232i 4928e 693a 1925f	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 77c

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

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Quadratic twists for isogeny class 77c

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

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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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