Cremona's table of elliptic curves

3850 = 2 · 5² · 7 · 11

Field	Data	Notes
Atkin-Lehner	2+ 5- 7+ 11+	Signs for the Atkin-Lehner involutions
Conductor	3850	Conductor
Count	2	Number of curves in isogeny class
Curves	3850h1 3850h2	Curves in isogeny class
deg	2688	Modular degree for the optimal curve
Eigenvalues	2+  0 5- 7+ 11+  2 -4  4	Hecke eigenvalues for primes less than 20
L	0.94181917422043	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	30800cx 123200cx 34650ed 3850w	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 3850h

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	-	+	+	2	-4	4	4	8	-2	-10	-6	-8	-8	6	8	6	-2	12	4	-10	-6	14	6

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Quadratic twists for isogeny class 3850h

-4	8	-3	5	-7	-11
30800cx	123200cx	34650ed	3850w	26950bf	42350da

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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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