Cremona's table of elliptic curves

770 = 2 · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7- 11+	Signs for the Atkin-Lehner involutions
Conductor	770	Conductor
Count	4	Number of curves in isogeny class
Curves	770b1 770b2 770b3 770b4	Curves in isogeny class
deg	576	Modular degree for the optimal curve
Eigenvalues	2+ -2 5+ 7- 11+  2 -6  2	Hecke eigenvalues for primes less than 20
L	0.56315565348231	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	6160f 24640w 6930bk 3850o	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 770b

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	-6	2	-6	0	8	-4	12	-4	12	0	0	2	8	12	2	14	12	6	8

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Quadratic twists for isogeny class 770b

-4	8	-3	5	-7	-11
6160f	24640w	6930bk	3850o	5390p	8470u

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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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