Cremona's table of elliptic curves

5850 = 2 · 3² · 5² · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 13+	Signs for the Atkin-Lehner involutions
Conductor	5850	Conductor
Count	6	Number of curves in isogeny class
Curves	5850bm1 5850bm2 5850bm3 5850bm4 5850bm5 5850bm6	Curves in isogeny class
deg	12288	Modular degree for the optimal curve
Eigenvalues	2- 3- 5+  0 -4 13+ -6  4	Hecke eigenvalues for primes less than 20
L	5.6593423796039	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	46800cx 1950g 1170d 76050bc	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for isogeny class 5850bm

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
-	-	+	0	-4	+	-6	4	8	-6	-8	10	6	-4	0	-10	-4	-2	12	-16	-2	-16	-12	-10	6

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Quadratic twists for isogeny class 5850bm

-4	-3	5	13
46800cx	1950g	1170d	76050bc

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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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