Cremona's table of elliptic curves

105 = 3 · 5 · 7

Field	Data	Notes
Atkin-Lehner	3- 5- 7-	Signs for the Atkin-Lehner involutions
Conductor	105	Conductor
Count	4	Number of curves in isogeny class
Curves	105a1 105a2 105a3 105a4	Curves in isogeny class
deg	4	Modular degree for the optimal curve
Eigenvalues	1 3- 5- 7-  0 -6  2 -8	Hecke eigenvalues for primes less than 20
L	1.4658633634193	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	1680n 6720g 315b 525a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 105a

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	-	-	-	0	-6	2	-8	8	-2	4	-2	-6	4	8	10	4	-2	4	-12	-2	8	-4	-6	-18

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Quadratic twists for isogeny class 105a

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
1680n	6720g	315b	525a	735a	12705n	17745n	30345b	37905k	55545g	88305k	100905g

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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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