Cremona's table of elliptic curves

738 = 2 · 3² · 41

Field	Data	Notes
Atkin-Lehner	2+ 3- 41+	Signs for the Atkin-Lehner involutions
Conductor	738	Conductor
Count	4	Number of curves in isogeny class
Curves	738c1 738c2 738c3 738c4	Curves in isogeny class
deg	192	Modular degree for the optimal curve
Eigenvalues	2+ 3-  2  4  4  2 -2 -4	Hecke eigenvalues for primes less than 20
L	1.5977768393853	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	5904m 23616k 246e 18450bs	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 738c

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	4	4	2	-2	-4	0	6	-8	-2	+	4	-12	6	4	-10	12	12	-6	12	-12	-2	10

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Quadratic twists for isogeny class 738c

-4	8	-3	5	-7	-11	13	41
5904m	23616k	246e	18450bs	36162bh	89298cs	124722bv	30258g

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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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