Cremona's table of elliptic curves

10150 = 2 · 5² · 7 · 29

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7+ 29+	Signs for the Atkin-Lehner involutions
Conductor	10150	Conductor
Count	4	Number of curves in isogeny class
Curves	10150a1 10150a2 10150a3 10150a4	Curves in isogeny class
deg	50688	Modular degree for the optimal curve
Eigenvalues	2+  2 5+ 7+  0 -2  0  2	Hecke eigenvalues for primes less than 20
L	4.4519502340321	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	81200bp 91350ed 2030b 71050o	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 10150a

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

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Quadratic twists for isogeny class 10150a

-4	-3	5	-7
81200bp	91350ed	2030b	71050o

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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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