Cremona's table of elliptic curves

13650 = 2 · 3 · 5² · 7 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 7+ 13+	Signs for the Atkin-Lehner involutions
Conductor	13650	Conductor
Count	8	Number of curves in isogeny class
Curves	13650a1 13650a2 13650a3 13650a4 13650a5 13650a6 13650a7 13650a8	Curves in isogeny class
deg	221184	Modular degree for the optimal curve
Eigenvalues	2+ 3+ 5+ 7+  0 13+ -6 -4	Hecke eigenvalues for primes less than 20
L	2.4905078045159	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	109200fz 40950dm 2730bd 95550ej	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 13650a

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	+	-6	-4	0	6	-4	10	6	-8	0	6	-12	14	4	0	-2	8	12	6	-2

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Quadratic twists for isogeny class 13650a

-4	-3	5	-7
109200fz	40950dm	2730bd	95550ej

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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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