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	3	Number of curves in isogeny class
Curves	402d1 402d2 402d3	Curves in isogeny class
deg	144	Modular degree for the optimal curve
Eigenvalues	2+ 3- -3 -1  0 -4 -6  2	Hecke eigenvalues for primes less than 20
L	1.4143116144197	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	3216d 12864c 1206f 10050t	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 402d

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	-1	0	-4	-6	2	-9	0	5	-7	3	-1	0	9	-3	-10	-	-12	11	8	15	0	8

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Quadratic twists for isogeny class 402d

-4	8	-3	5	-7	-11	13	17	-67
3216d	12864c	1206f	10050t	19698e	48642bc	67938r	116178g	26934e

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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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