Cremona's table of elliptic curves

3174 = 2 · 3 · 23²

Field	Data	Notes
Atkin-Lehner	2- 3+ 23-	Signs for the Atkin-Lehner involutions
Conductor	3174	Conductor
Count	4	Number of curves in isogeny class
Curves	3174g1 3174g2 3174g3 3174g4	Curves in isogeny class
deg	4224	Modular degree for the optimal curve
Eigenvalues	2- 3+ -2  0  0 -2 -2  8	Hecke eigenvalues for primes less than 20
L	3.8470357162768	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	25392be 101568x 9522e 79350y	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 3174g

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	0	-2	-2	8	-	-2	-8	-2	10	-8	8	-2	-4	-2	-8	0	-6	-8	16	-18	-10

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Quadratic twists for isogeny class 3174g

-4	8	-3	5	-23
25392be	101568x	9522e	79350y	138c

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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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