Cremona's table of elliptic curves

40800 = 2⁵ · 3 · 5² · 17

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 17+	Signs for the Atkin-Lehner involutions
Conductor	40800	Conductor
Count	4	Number of curves in isogeny class
Curves	40800t1 40800t2 40800t3 40800t4	Curves in isogeny class
deg	86016	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+  0 -4 -6 17+ -4	Hecke eigenvalues for primes less than 20
L	0.79083732000489	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	40800bf 81600b 122400dl 8160k	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 40800t

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	-4	6	0	-2	-6	-4	0	-10	-4	2	4	-12	-2	16	4	-6	14

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Quadratic twists for isogeny class 40800t

-4	8	-3	5
40800bf	81600b	122400dl	8160k

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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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