Cremona's table of elliptic curves

36414 = 2 · 3² · 7 · 17²

Field	Data	Notes
Atkin-Lehner	2- 3- 7+ 17+	Signs for the Atkin-Lehner involutions
Conductor	36414	Conductor
Count	4	Number of curves in isogeny class
Curves	36414ci1 36414ci2 36414ci3 36414ci4	Curves in isogeny class
deg	870400	Modular degree for the optimal curve
Eigenvalues	2- 3- -2 7+  0  4 17+  0	Hecke eigenvalues for primes less than 20
L	7.6483032867396	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	12138a 36414cs	Quadratic twists by: -3 17

Hecke Eigenvalues for isogeny class 36414ci

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

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Quadratic twists for isogeny class 36414ci

-3	17
12138a	36414cs

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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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