Cremona's table of elliptic curves

42135 = 3 · 5 · 53²

Field	Data	Notes
Atkin-Lehner	3- 5+ 53+	Signs for the Atkin-Lehner involutions
Conductor	42135	Conductor
Count	8	Number of curves in isogeny class
Curves	42135f1 42135f2 42135f3 42135f4 42135f5 42135f6 42135f7 42135f8	Curves in isogeny class
deg	36608	Modular degree for the optimal curve
Eigenvalues	1 3- 5+  0 -4 -2  2 -4	Hecke eigenvalues for primes less than 20
L	0.76955049493503	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	126405s 15a	Quadratic twists by: -3 53

Hecke Eigenvalues for isogeny class 42135f

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

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Quadratic twists for isogeny class 42135f

-3	53
126405s	15a

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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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