Cremona's table of elliptic curves

730 = 2 · 5 · 73

Field	Data	Notes
Atkin-Lehner	2- 5+ 73-	Signs for the Atkin-Lehner involutions
Conductor	730	Conductor
Count	1	Number of curves in isogeny class
Curves	730i1	Curves in isogeny class
deg	56	Modular degree for the optimal curve
Eigenvalues	2- -1 5+ -1 -1 -2 -2 -6	Hecke eigenvalues for primes less than 20
L	2.5255155328271	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	5840d 23360j 6570k 3650a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 730i

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	+	-1	-1	-2	-2	-6	0	-1	-4	-9	-3	12	-5	0	-7	8	7	5	-	-5	-2	-11	12

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Quadratic twists for isogeny class 730i

-4	8	-3	5	-7	-11	13	73
5840d	23360j	6570k	3650a	35770ba	88330e	123370h	53290y

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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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