Cremona's table of elliptic curves

6930 = 2 · 3² · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 7- 11-	Signs for the Atkin-Lehner involutions
Conductor	6930	Conductor
Count	8	Number of curves in isogeny class
Curves	6930o1 6930o2 6930o3 6930o4 6930o5 6930o6 6930o7 6930o8	Curves in isogeny class
deg	27648	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5- 7- 11-  2 -6 -4	Hecke eigenvalues for primes less than 20
L	3.3987132772052	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	55440dz 2310t 34650da 48510ba	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 6930o

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

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Quadratic twists for isogeny class 6930o

-4	-3	5	-7	-11
55440dz	2310t	34650da	48510ba	76230ej

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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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