Cremona's table of elliptic curves

21450 = 2 · 3 · 5² · 11 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 11+ 13+	Signs for the Atkin-Lehner involutions
Conductor	21450	Conductor
Count	8	Number of curves in isogeny class
Curves	21450d1 21450d2 21450d3 21450d4 21450d5 21450d6 21450d7 21450d8	Curves in isogeny class
deg	331776	Modular degree for the optimal curve
Eigenvalues	2+ 3+ 5+  4 11+ 13+  6 -4	Hecke eigenvalues for primes less than 20
L	3.7080325983078	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	64350el 4290bb	Quadratic twists by: -3 5

Hecke Eigenvalues for isogeny class 21450d

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

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Quadratic twists for isogeny class 21450d

-3	5
64350el	4290bb

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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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