Cremona's table of elliptic curves

4026 = 2 · 3 · 11 · 61

Field	Data	Notes
Atkin-Lehner	2+ 3- 11+ 61-	Signs for the Atkin-Lehner involutions
Conductor	4026	Conductor
Count	2	Number of curves in isogeny class
Curves	4026c1 4026c2	Curves in isogeny class
deg	27216	Modular degree for the optimal curve
Eigenvalues	2+ 3-  3 -4 11+  2  3 -4	Hecke eigenvalues for primes less than 20
L	3.4453811744587	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	32208m 128832g 12078x 100650bn	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 4026c

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
+	-	3	-4	+	2	3	-4	-9	-6	2	-1	-6	-7	-6	6	6	-	-4	3	-7	-4	-3	-15	11

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Quadratic twists for isogeny class 4026c

-4	8	-3	5	-11
32208m	128832g	12078x	100650bn	44286bj

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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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