Cremona's table of elliptic curves

102675 = 3 · 5² · 37²

Field	Data	Notes
Atkin-Lehner	3- 5+ 37+	Signs for the Atkin-Lehner involutions
Conductor	102675	Conductor
Count	8	Number of curves in isogeny class
Curves	102675s1 102675s2 102675s3 102675s4 102675s5 102675s6 102675s7 102675s8	Curves in isogeny class
deg	290304	Modular degree for the optimal curve
Eigenvalues	-1 3- 5+  0 -4 -2  2 -4	Hecke eigenvalues for primes less than 20
L	0.82379509948788	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	20535a 75b	Quadratic twists by: 5 37

Hecke Eigenvalues for isogeny class 102675s

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

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Quadratic twists for isogeny class 102675s

5	37
20535a	75b

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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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