Cremona's table of elliptic curves

36 = 2² · 3²

Field	Data	Notes
Atkin-Lehner	2- 3+	Signs for the Atkin-Lehner involutions
Conductor	36	Conductor
Count	4	Number of curves in isogeny class
Curves	36a1 36a2 36a3 36a4	Curves in isogeny class
deg	1	Modular degree for the optimal curve
Eigenvalues	2- 3+  0 -4  0  2  0  8	Hecke eigenvalues for primes less than 20
L	0.70109105266273	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	144a 576a 36a 900b	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 36a

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	0	2	0	8	0	0	-4	-10	0	8	0	0	0	14	-16	0	-10	-4	0	0	14

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Quadratic twists for isogeny class 36a

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43	-47	53	-59
144a	576a	36a	900b	1764b	4356c	6084a	10404b	12996f	19044c	30276c	34596d	49284c	60516a	66564b	79524a	101124b	125316c

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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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