Cremona's table of elliptic curves

402 = 2 · 3 · 67

Field	Data	Notes
Atkin-Lehner	2+ 3- 67+	Signs for the Atkin-Lehner involutions
Conductor	402	Conductor
Count	4	Number of curves in isogeny class
Curves	402b1 402b2 402b3 402b4	Curves in isogeny class
deg	32	Modular degree for the optimal curve
Eigenvalues	2+ 3-  2  0  4 -2  2 -4	Hecke eigenvalues for primes less than 20
L	1.447247950769	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	3216f 12864g 1206e 10050v	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 402b

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

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Quadratic twists for isogeny class 402b

-4	8	-3	5	-7	-11	13	17	-67
3216f	12864g	1206e	10050v	19698b	48642w	67938t	116178a	26934d

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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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